(0) Obligation:

Clauses:

log2(X, Y) :- log2(X, 0, s(0), Y).
log2(s(s(X)), Half, Acc, Y) :- log2(X, s(Half), Acc, Y).
log2(X, s(s(Half)), Acc, Y) :- ','(small(X), log2(Half, s(0), s(Acc), Y)).
log2(X, Half, Y, Y) :- ','(small(X), small(Half)).
small(0).
small(s(0)).

Queries:

log2(g,a).

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

Built Prolog problem from termination graph.

(2) Obligation:

Clauses:

log244(s(s(T128)), T129, T131) :- log244(T128, s(T129), T131).
log244(0, s(T148), T150) :- log257(T148, T150).
log244(s(0), s(T148), T150) :- log257(T148, T150).
log244(0, 0, s(0)).
log244(s(0), 0, s(0)).
log294(s(s(T262)), T263, T265) :- log294(T262, s(T263), T265).
log294(0, s(T282), T284) :- log2107(T282, T284).
log294(s(0), s(T282), T284) :- log2107(T282, T284).
log294(0, 0, s(s(0))).
log294(s(0), 0, s(s(0))).
log2144(s(s(T396)), T397, T399) :- log2144(T396, s(T397), T399).
log2144(0, s(T416), T418) :- log2157(T416, T418).
log2144(s(0), s(T416), T418) :- log2157(T416, T418).
log2144(0, 0, s(s(s(0)))).
log2144(s(0), 0, s(s(s(0)))).
log2194(s(s(T530)), T531, T533) :- log2194(T530, s(T531), T533).
log2194(0, s(T550), T552) :- log2207(T550, T552).
log2194(s(0), s(T550), T552) :- log2207(T550, T552).
log2194(0, 0, s(s(s(s(0))))).
log2194(s(0), 0, s(s(s(s(0))))).
log2244(s(s(T664)), T665, T667) :- log2244(T664, s(T665), T667).
log2244(0, s(T684), T686) :- log2257(T684, T686).
log2244(s(0), s(T684), T686) :- log2257(T684, T686).
log2244(0, 0, s(s(s(s(s(0)))))).
log2244(s(0), 0, s(s(s(s(s(0)))))).
log2294(s(s(T798)), T799, T801) :- log2294(T798, s(T799), T801).
log2294(0, s(T818), T820) :- log2307(T818, T820).
log2294(s(0), s(T818), T820) :- log2307(T818, T820).
log2294(0, 0, s(s(s(s(s(s(0))))))).
log2294(s(0), 0, s(s(s(s(s(s(0))))))).
log2344(s(s(T932)), T933, T935) :- log2344(T932, s(T933), T935).
log2344(0, s(T952), T954) :- log2359(T952, s(s(s(s(s(s(s(0))))))), T954).
log2344(s(0), s(T952), T954) :- log2359(T952, s(s(s(s(s(s(s(0))))))), T954).
log2344(0, 0, s(s(s(s(s(s(s(0)))))))).
log2344(s(0), 0, s(s(s(s(s(s(s(0)))))))).
log2395(s(s(T1117)), T1118, T1119, T1121) :- log2395(T1117, s(T1118), T1119, T1121).
log2395(0, s(T1143), T1144, T1146) :- log2359(T1143, s(T1144), T1146).
log2395(s(0), s(T1143), T1144, T1146) :- log2359(T1143, s(T1144), T1146).
log2395(0, 0, T1164, s(T1164)).
log2395(s(0), 0, T1164, s(T1164)).
log2359(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) :- log2395(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092).
log2359(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) :- log2437(T1184, T1186).
log2359(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) :- log2437(T1184, T1186).
log2359(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) :- log2515(T1302, T1304).
log2359(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) :- log2515(T1302, T1304).
log2359(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) :- log2585(T1418, T1420).
log2359(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) :- log2585(T1418, T1420).
log2359(s(s(s(s(s(s(0)))))), T1498, T1500) :- log2650(T1498, T1500).
log2359(s(s(s(s(s(s(s(0))))))), T1498, T1500) :- log2650(T1498, T1500).
log2359(s(s(s(s(0)))), T1574, T1576) :- log2705(T1574, T1576).
log2359(s(s(s(s(s(0))))), T1574, T1576) :- log2705(T1574, T1576).
log2359(s(s(0)), T1606, T1608) :- log2742(T1606, T1608).
log2359(s(s(s(0))), T1606, T1608) :- log2742(T1606, T1608).
log2359(0, T1627, s(T1627)).
log2359(s(0), T1627, s(T1627)).
log2437(T1241, T1243) :- log2454(T1241, T1243).
log2454(T1249, s(s(s(T1249)))).
log2515(T1359, T1361) :- log2454(T1359, T1361).
log2585(T1456, T1458) :- log2598(T1456, T1458).
log2598(T1464, s(s(s(T1464)))).
log2650(T1536, T1538) :- log2598(T1536, T1538).
log2705(T1581, s(s(T1581))).
log2742(T1613, s(s(T1613))).
log2307(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) :- log2344(T911, s(s(s(s(s(s(s(0))))))), T913).
log2307(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) :- log2822(s(s(s(s(s(s(s(0))))))), T1650).
log2307(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) :- log2822(s(s(s(s(s(s(s(0))))))), T1650).
log2307(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) :- log2889(s(s(s(s(s(s(s(0))))))), T1755).
log2307(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) :- log2889(s(s(s(s(s(s(s(0))))))), T1755).
log2307(s(s(s(s(s(s(s(s(0)))))))), T1861) :- log2960(s(s(s(s(s(s(s(0))))))), T1861).
log2307(s(s(s(s(s(s(s(s(s(0))))))))), T1861) :- log2960(s(s(s(s(s(s(s(0))))))), T1861).
log2307(s(s(s(s(s(s(0)))))), T1928) :- log21012(s(s(s(s(s(s(s(0))))))), T1928).
log2307(s(s(s(s(s(s(s(0))))))), T1928) :- log21012(s(s(s(s(s(s(s(0))))))), T1928).
log2307(s(s(s(s(0)))), T1994) :- log21068(s(s(s(s(s(s(s(0))))))), T1994).
log2307(s(s(s(s(s(0))))), T1994) :- log21068(s(s(s(s(s(s(s(0))))))), T1994).
log2307(s(s(0)), T2015) :- log21106(s(s(s(s(s(s(s(0))))))), T2015).
log2307(s(s(s(0))), T2015) :- log21106(s(s(s(s(s(s(s(0))))))), T2015).
log2307(0, s(s(s(s(s(s(s(0)))))))).
log2307(s(0), s(s(s(s(s(s(s(0)))))))).
log21183(T2082) :- log21068(s(s(s(s(s(s(s(0))))))), T2082).
log21249(T2141) :- log21068(s(s(s(s(s(s(s(0))))))), T2141).
log21319(T2189) :- log21106(s(s(s(s(s(s(s(0))))))), T2189).
log21370(T2229) :- log21106(s(s(s(s(s(s(s(0))))))), T2229).
log21425(s(s(s(s(s(s(s(0)))))))).
log21462(s(s(s(s(s(s(s(0)))))))).
log2257(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) :- log2294(T777, s(s(s(s(s(s(s(0))))))), T779).
log2257(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) :- log21183(T2050).
log2257(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) :- log21183(T2050).
log2257(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) :- log21249(T2109).
log2257(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) :- log21249(T2109).
log2257(s(s(s(s(s(s(s(s(0)))))))), T2168) :- log21319(T2168).
log2257(s(s(s(s(s(s(s(s(s(0))))))))), T2168) :- log21319(T2168).
log2257(s(s(s(s(s(s(0)))))), T2208) :- log21370(T2208).
log2257(s(s(s(s(s(s(s(0))))))), T2208) :- log21370(T2208).
log2257(s(s(s(s(0)))), T2246) :- log21425(T2246).
log2257(s(s(s(s(s(0))))), T2246) :- log21425(T2246).
log2257(s(s(0)), T2262) :- log21462(T2262).
log2257(s(s(s(0))), T2262) :- log21462(T2262).
log2257(0, s(s(s(s(s(s(0))))))).
log2257(s(0), s(s(s(s(s(s(0))))))).
log21540(T2324) :- log21425(T2324).
log21606(T2383) :- log21425(T2383).
log21676(T2431) :- log21462(T2431).
log21727(T2471) :- log21462(T2471).
log21782(s(s(s(s(s(s(0))))))).
log21819(s(s(s(s(s(s(0))))))).
log2207(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) :- log2244(T643, s(s(s(s(s(s(s(0))))))), T645).
log2207(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) :- log21540(T2292).
log2207(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) :- log21540(T2292).
log2207(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) :- log21606(T2351).
log2207(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) :- log21606(T2351).
log2207(s(s(s(s(s(s(s(s(0)))))))), T2410) :- log21676(T2410).
log2207(s(s(s(s(s(s(s(s(s(0))))))))), T2410) :- log21676(T2410).
log2207(s(s(s(s(s(s(0)))))), T2450) :- log21727(T2450).
log2207(s(s(s(s(s(s(s(0))))))), T2450) :- log21727(T2450).
log2207(s(s(s(s(0)))), T2488) :- log21782(T2488).
log2207(s(s(s(s(s(0))))), T2488) :- log21782(T2488).
log2207(s(s(0)), T2504) :- log21819(T2504).
log2207(s(s(s(0))), T2504) :- log21819(T2504).
log2207(0, s(s(s(s(s(0)))))).
log2207(s(0), s(s(s(s(s(0)))))).
log21897(T2566) :- log21782(T2566).
log21963(T2625) :- log21782(T2625).
log22033(T2673) :- log21819(T2673).
log22084(T2713) :- log21819(T2713).
log22139(s(s(s(s(s(0)))))).
log22176(s(s(s(s(s(0)))))).
log2157(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) :- log2194(T509, s(s(s(s(s(s(s(0))))))), T511).
log2157(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) :- log21897(T2534).
log2157(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) :- log21897(T2534).
log2157(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) :- log21963(T2593).
log2157(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) :- log21963(T2593).
log2157(s(s(s(s(s(s(s(s(0)))))))), T2652) :- log22033(T2652).
log2157(s(s(s(s(s(s(s(s(s(0))))))))), T2652) :- log22033(T2652).
log2157(s(s(s(s(s(s(0)))))), T2692) :- log22084(T2692).
log2157(s(s(s(s(s(s(s(0))))))), T2692) :- log22084(T2692).
log2157(s(s(s(s(0)))), T2730) :- log22139(T2730).
log2157(s(s(s(s(s(0))))), T2730) :- log22139(T2730).
log2157(s(s(0)), T2746) :- log22176(T2746).
log2157(s(s(s(0))), T2746) :- log22176(T2746).
log2157(0, s(s(s(s(0))))).
log2157(s(0), s(s(s(s(0))))).
log22254(T2808) :- log22139(T2808).
log22320(T2867) :- log22139(T2867).
log22390(T2915) :- log22176(T2915).
log22441(T2955) :- log22176(T2955).
log22496(s(s(s(s(0))))).
log22533(s(s(s(s(0))))).
log2107(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) :- log2144(T375, s(s(s(s(s(s(s(0))))))), T377).
log2107(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) :- log22254(T2776).
log2107(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) :- log22254(T2776).
log2107(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) :- log22320(T2835).
log2107(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) :- log22320(T2835).
log2107(s(s(s(s(s(s(s(s(0)))))))), T2894) :- log22390(T2894).
log2107(s(s(s(s(s(s(s(s(s(0))))))))), T2894) :- log22390(T2894).
log2107(s(s(s(s(s(s(0)))))), T2934) :- log22441(T2934).
log2107(s(s(s(s(s(s(s(0))))))), T2934) :- log22441(T2934).
log2107(s(s(s(s(0)))), T2972) :- log22496(T2972).
log2107(s(s(s(s(s(0))))), T2972) :- log22496(T2972).
log2107(s(s(0)), T2988) :- log22533(T2988).
log2107(s(s(s(0))), T2988) :- log22533(T2988).
log2107(0, s(s(s(0)))).
log2107(s(0), s(s(s(0)))).
log22611(T3050) :- log22496(T3050).
log22677(T3109) :- log22496(T3109).
log22747(T3157) :- log22533(T3157).
log22798(T3197) :- log22533(T3197).
log22853(s(s(s(0)))).
log22890(s(s(s(0)))).
log257(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) :- log294(T241, s(s(s(s(s(s(s(0))))))), T243).
log257(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) :- log22611(T3018).
log257(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) :- log22611(T3018).
log257(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) :- log22677(T3077).
log257(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) :- log22677(T3077).
log257(s(s(s(s(s(s(s(s(0)))))))), T3136) :- log22747(T3136).
log257(s(s(s(s(s(s(s(s(s(0))))))))), T3136) :- log22747(T3136).
log257(s(s(s(s(s(s(0)))))), T3176) :- log22798(T3176).
log257(s(s(s(s(s(s(s(0))))))), T3176) :- log22798(T3176).
log257(s(s(s(s(0)))), T3214) :- log22853(T3214).
log257(s(s(s(s(s(0))))), T3214) :- log22853(T3214).
log257(s(s(0)), T3230) :- log22890(T3230).
log257(s(s(s(0))), T3230) :- log22890(T3230).
log257(0, s(s(0))).
log257(s(0), s(s(0))).
log22968(T3292) :- log22853(T3292).
log23034(T3351) :- log22853(T3351).
log23104(T3399) :- log22890(T3399).
log23155(T3439) :- log22890(T3439).
log23210(s(s(0))).
log23247(s(s(0))).
log2822(T1706, T1708) :- log2705(T1706, T1708).
log2889(T1811, T1813) :- log2705(T1811, T1813).
log2960(T1898, T1900) :- log2742(T1898, T1900).
log21012(T1965, T1967) :- log2742(T1965, T1967).
log21068(T1999, s(T1999)).
log21106(T2020, s(T2020)).
log21(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) :- log244(T107, s(s(s(s(s(s(s(0))))))), T109).
log21(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) :- log22968(T3260).
log21(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) :- log22968(T3260).
log21(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) :- log23034(T3319).
log21(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) :- log23034(T3319).
log21(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) :- log23104(T3378).
log21(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) :- log23104(T3378).
log21(s(s(s(s(s(s(s(s(0)))))))), T3418) :- log23155(T3418).
log21(s(s(s(s(s(s(s(s(s(0))))))))), T3418) :- log23155(T3418).
log21(s(s(s(s(s(s(0)))))), T3456) :- log23210(T3456).
log21(s(s(s(s(s(s(s(0))))))), T3456) :- log23210(T3456).
log21(s(s(s(s(0)))), T3472) :- log23247(T3472).
log21(s(s(s(s(s(0))))), T3472) :- log23247(T3472).
log21(s(s(0)), s(0)).
log21(s(s(s(0))), s(0)).
log21(0, s(0)).
log21(s(0), s(0)).

Queries:

log21(g,a).

(3) PrologToPiTRSProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
log21_in: (b,f)
log244_in: (b,b,f)
log257_in: (b,f)
log294_in: (b,b,f)
log2107_in: (b,f)
log2144_in: (b,b,f)
log2157_in: (b,f)
log2194_in: (b,b,f)
log2207_in: (b,f)
log2244_in: (b,b,f)
log2257_in: (b,f)
log2294_in: (b,b,f)
log2307_in: (b,f)
log2344_in: (b,b,f)
log2359_in: (b,b,f)
log2395_in: (b,b,b,f)
log2437_in: (b,f)
log2515_in: (b,f)
log2585_in: (b,f)
log2650_in: (b,f)
log2822_in: (b,f)
log2889_in: (b,f)
log2960_in: (b,f)
log21012_in: (b,f)
log21183_in: (f)
log21249_in: (f)
log21319_in: (f)
log21370_in: (f)
log21540_in: (f)
log21606_in: (f)
log21676_in: (f)
log21727_in: (f)
log21897_in: (f)
log21963_in: (f)
log22033_in: (f)
log22084_in: (f)
log22254_in: (f)
log22320_in: (f)
log22390_in: (f)
log22441_in: (f)
log22611_in: (f)
log22677_in: (f)
log22747_in: (f)
log22798_in: (f)
log22968_in: (f)
log23034_in: (f)
log23104_in: (f)
log23155_in: (f)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(4) Obligation:

Pi-finite rewrite system:
The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)

(5) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LOPSTR] we result in the following initial DP problem:
Pi DP problem:
The TRS P consists of the following rules:

LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_GA(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → LOG244_IN_GGA(T107, s(s(s(s(s(s(s(0))))))), T109)
LOG244_IN_GGA(s(s(T128)), T129, T131) → U1_GGA(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
LOG244_IN_GGA(s(s(T128)), T129, T131) → LOG244_IN_GGA(T128, s(T129), T131)
LOG244_IN_GGA(0, s(T148), T150) → U2_GGA(T148, T150, log257_in_ga(T148, T150))
LOG244_IN_GGA(0, s(T148), T150) → LOG257_IN_GA(T148, T150)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_GA(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → LOG294_IN_GGA(T241, s(s(s(s(s(s(s(0))))))), T243)
LOG294_IN_GGA(s(s(T262)), T263, T265) → U4_GGA(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
LOG294_IN_GGA(s(s(T262)), T263, T265) → LOG294_IN_GGA(T262, s(T263), T265)
LOG294_IN_GGA(0, s(T282), T284) → U5_GGA(T282, T284, log2107_in_ga(T282, T284))
LOG294_IN_GGA(0, s(T282), T284) → LOG2107_IN_GA(T282, T284)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_GA(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → LOG2144_IN_GGA(T375, s(s(s(s(s(s(s(0))))))), T377)
LOG2144_IN_GGA(s(s(T396)), T397, T399) → U7_GGA(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
LOG2144_IN_GGA(s(s(T396)), T397, T399) → LOG2144_IN_GGA(T396, s(T397), T399)
LOG2144_IN_GGA(0, s(T416), T418) → U8_GGA(T416, T418, log2157_in_ga(T416, T418))
LOG2144_IN_GGA(0, s(T416), T418) → LOG2157_IN_GA(T416, T418)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_GA(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → LOG2194_IN_GGA(T509, s(s(s(s(s(s(s(0))))))), T511)
LOG2194_IN_GGA(s(s(T530)), T531, T533) → U10_GGA(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
LOG2194_IN_GGA(s(s(T530)), T531, T533) → LOG2194_IN_GGA(T530, s(T531), T533)
LOG2194_IN_GGA(0, s(T550), T552) → U11_GGA(T550, T552, log2207_in_ga(T550, T552))
LOG2194_IN_GGA(0, s(T550), T552) → LOG2207_IN_GA(T550, T552)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_GA(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → LOG2244_IN_GGA(T643, s(s(s(s(s(s(s(0))))))), T645)
LOG2244_IN_GGA(s(s(T664)), T665, T667) → U13_GGA(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
LOG2244_IN_GGA(s(s(T664)), T665, T667) → LOG2244_IN_GGA(T664, s(T665), T667)
LOG2244_IN_GGA(0, s(T684), T686) → U14_GGA(T684, T686, log2257_in_ga(T684, T686))
LOG2244_IN_GGA(0, s(T684), T686) → LOG2257_IN_GA(T684, T686)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_GA(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → LOG2294_IN_GGA(T777, s(s(s(s(s(s(s(0))))))), T779)
LOG2294_IN_GGA(s(s(T798)), T799, T801) → U16_GGA(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
LOG2294_IN_GGA(s(s(T798)), T799, T801) → LOG2294_IN_GGA(T798, s(T799), T801)
LOG2294_IN_GGA(0, s(T818), T820) → U17_GGA(T818, T820, log2307_in_ga(T818, T820))
LOG2294_IN_GGA(0, s(T818), T820) → LOG2307_IN_GA(T818, T820)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_GA(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → LOG2344_IN_GGA(T911, s(s(s(s(s(s(s(0))))))), T913)
LOG2344_IN_GGA(s(s(T932)), T933, T935) → U19_GGA(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
LOG2344_IN_GGA(s(s(T932)), T933, T935) → LOG2344_IN_GGA(T932, s(T933), T935)
LOG2344_IN_GGA(0, s(T952), T954) → U20_GGA(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
LOG2344_IN_GGA(0, s(T952), T954) → LOG2359_IN_GGA(T952, s(s(s(s(s(s(s(0))))))), T954)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_GGA(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → U22_GGGA(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → LOG2395_IN_GGGA(T1117, s(T1118), T1119, T1121)
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → U23_GGGA(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_GGA(T1184, T1186, log2437_in_ga(T1184, T1186))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → LOG2437_IN_GA(T1184, T1186)
LOG2437_IN_GA(T1241, T1243) → U38_GA(T1241, T1243, log2454_in_ga(T1241, T1243))
LOG2437_IN_GA(T1241, T1243) → LOG2454_IN_GA(T1241, T1243)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_GGA(T1184, T1186, log2437_in_ga(T1184, T1186))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → LOG2437_IN_GA(T1184, T1186)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_GGA(T1302, T1304, log2515_in_ga(T1302, T1304))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → LOG2515_IN_GA(T1302, T1304)
LOG2515_IN_GA(T1359, T1361) → U39_GA(T1359, T1361, log2454_in_ga(T1359, T1361))
LOG2515_IN_GA(T1359, T1361) → LOG2454_IN_GA(T1359, T1361)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_GGA(T1302, T1304, log2515_in_ga(T1302, T1304))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → LOG2515_IN_GA(T1302, T1304)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_GGA(T1418, T1420, log2585_in_ga(T1418, T1420))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → LOG2585_IN_GA(T1418, T1420)
LOG2585_IN_GA(T1456, T1458) → U40_GA(T1456, T1458, log2598_in_ga(T1456, T1458))
LOG2585_IN_GA(T1456, T1458) → LOG2598_IN_GA(T1456, T1458)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_GGA(T1418, T1420, log2585_in_ga(T1418, T1420))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → LOG2585_IN_GA(T1418, T1420)
LOG2359_IN_GGA(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_GGA(T1498, T1500, log2650_in_ga(T1498, T1500))
LOG2359_IN_GGA(s(s(s(s(s(s(0)))))), T1498, T1500) → LOG2650_IN_GA(T1498, T1500)
LOG2650_IN_GA(T1536, T1538) → U41_GA(T1536, T1538, log2598_in_ga(T1536, T1538))
LOG2650_IN_GA(T1536, T1538) → LOG2598_IN_GA(T1536, T1538)
LOG2359_IN_GGA(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_GGA(T1498, T1500, log2650_in_ga(T1498, T1500))
LOG2359_IN_GGA(s(s(s(s(s(s(s(0))))))), T1498, T1500) → LOG2650_IN_GA(T1498, T1500)
LOG2359_IN_GGA(s(s(s(s(0)))), T1574, T1576) → U34_GGA(T1574, T1576, log2705_in_ga(T1574, T1576))
LOG2359_IN_GGA(s(s(s(s(0)))), T1574, T1576) → LOG2705_IN_GA(T1574, T1576)
LOG2359_IN_GGA(s(s(s(s(s(0))))), T1574, T1576) → U35_GGA(T1574, T1576, log2705_in_ga(T1574, T1576))
LOG2359_IN_GGA(s(s(s(s(s(0))))), T1574, T1576) → LOG2705_IN_GA(T1574, T1576)
LOG2359_IN_GGA(s(s(0)), T1606, T1608) → U36_GGA(T1606, T1608, log2742_in_ga(T1606, T1608))
LOG2359_IN_GGA(s(s(0)), T1606, T1608) → LOG2742_IN_GA(T1606, T1608)
LOG2359_IN_GGA(s(s(s(0))), T1606, T1608) → U37_GGA(T1606, T1608, log2742_in_ga(T1606, T1608))
LOG2359_IN_GGA(s(s(s(0))), T1606, T1608) → LOG2742_IN_GA(T1606, T1608)
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → U24_GGGA(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2344_IN_GGA(s(0), s(T952), T954) → U21_GGA(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
LOG2344_IN_GGA(s(0), s(T952), T954) → LOG2359_IN_GGA(T952, s(s(s(s(s(s(s(0))))))), T954)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_GA(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → LOG2822_IN_GA(s(s(s(s(s(s(s(0))))))), T1650)
LOG2822_IN_GA(T1706, T1708) → U144_GA(T1706, T1708, log2705_in_ga(T1706, T1708))
LOG2822_IN_GA(T1706, T1708) → LOG2705_IN_GA(T1706, T1708)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_GA(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → LOG2822_IN_GA(s(s(s(s(s(s(s(0))))))), T1650)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_GA(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → LOG2889_IN_GA(s(s(s(s(s(s(s(0))))))), T1755)
LOG2889_IN_GA(T1811, T1813) → U145_GA(T1811, T1813, log2705_in_ga(T1811, T1813))
LOG2889_IN_GA(T1811, T1813) → LOG2705_IN_GA(T1811, T1813)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_GA(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → LOG2889_IN_GA(s(s(s(s(s(s(s(0))))))), T1755)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_GA(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T1861) → LOG2960_IN_GA(s(s(s(s(s(s(s(0))))))), T1861)
LOG2960_IN_GA(T1898, T1900) → U146_GA(T1898, T1900, log2742_in_ga(T1898, T1900))
LOG2960_IN_GA(T1898, T1900) → LOG2742_IN_GA(T1898, T1900)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_GA(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → LOG2960_IN_GA(s(s(s(s(s(s(s(0))))))), T1861)
LOG2307_IN_GA(s(s(s(s(s(s(0)))))), T1928) → U49_GA(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
LOG2307_IN_GA(s(s(s(s(s(s(0)))))), T1928) → LOG21012_IN_GA(s(s(s(s(s(s(s(0))))))), T1928)
LOG21012_IN_GA(T1965, T1967) → U147_GA(T1965, T1967, log2742_in_ga(T1965, T1967))
LOG21012_IN_GA(T1965, T1967) → LOG2742_IN_GA(T1965, T1967)
LOG2307_IN_GA(s(s(s(s(s(s(s(0))))))), T1928) → U50_GA(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
LOG2307_IN_GA(s(s(s(s(s(s(s(0))))))), T1928) → LOG21012_IN_GA(s(s(s(s(s(s(s(0))))))), T1928)
LOG2307_IN_GA(s(s(s(s(0)))), T1994) → U51_GA(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
LOG2307_IN_GA(s(s(s(s(0)))), T1994) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T1994)
LOG2307_IN_GA(s(s(s(s(s(0))))), T1994) → U52_GA(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
LOG2307_IN_GA(s(s(s(s(s(0))))), T1994) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T1994)
LOG2307_IN_GA(s(s(0)), T2015) → U53_GA(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
LOG2307_IN_GA(s(s(0)), T2015) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2015)
LOG2307_IN_GA(s(s(s(0))), T2015) → U54_GA(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
LOG2307_IN_GA(s(s(s(0))), T2015) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2015)
LOG2294_IN_GGA(s(0), s(T818), T820) → U18_GGA(T818, T820, log2307_in_ga(T818, T820))
LOG2294_IN_GGA(s(0), s(T818), T820) → LOG2307_IN_GA(T818, T820)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_GA(T2050, log21183_in_a(T2050))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → LOG21183_IN_A(T2050)
LOG21183_IN_A(T2082) → U55_A(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
LOG21183_IN_A(T2082) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T2082)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_GA(T2050, log21183_in_a(T2050))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → LOG21183_IN_A(T2050)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_GA(T2109, log21249_in_a(T2109))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → LOG21249_IN_A(T2109)
LOG21249_IN_A(T2141) → U56_A(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
LOG21249_IN_A(T2141) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T2141)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_GA(T2109, log21249_in_a(T2109))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → LOG21249_IN_A(T2109)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_GA(T2168, log21319_in_a(T2168))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2168) → LOG21319_IN_A(T2168)
LOG21319_IN_A(T2189) → U57_A(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
LOG21319_IN_A(T2189) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2189)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_GA(T2168, log21319_in_a(T2168))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → LOG21319_IN_A(T2168)
LOG2257_IN_GA(s(s(s(s(s(s(0)))))), T2208) → U66_GA(T2208, log21370_in_a(T2208))
LOG2257_IN_GA(s(s(s(s(s(s(0)))))), T2208) → LOG21370_IN_A(T2208)
LOG21370_IN_A(T2229) → U58_A(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
LOG21370_IN_A(T2229) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2229)
LOG2257_IN_GA(s(s(s(s(s(s(s(0))))))), T2208) → U67_GA(T2208, log21370_in_a(T2208))
LOG2257_IN_GA(s(s(s(s(s(s(s(0))))))), T2208) → LOG21370_IN_A(T2208)
LOG2257_IN_GA(s(s(s(s(0)))), T2246) → U68_GA(T2246, log21425_in_a(T2246))
LOG2257_IN_GA(s(s(s(s(0)))), T2246) → LOG21425_IN_A(T2246)
LOG2257_IN_GA(s(s(s(s(s(0))))), T2246) → U69_GA(T2246, log21425_in_a(T2246))
LOG2257_IN_GA(s(s(s(s(s(0))))), T2246) → LOG21425_IN_A(T2246)
LOG2257_IN_GA(s(s(0)), T2262) → U70_GA(T2262, log21462_in_a(T2262))
LOG2257_IN_GA(s(s(0)), T2262) → LOG21462_IN_A(T2262)
LOG2257_IN_GA(s(s(s(0))), T2262) → U71_GA(T2262, log21462_in_a(T2262))
LOG2257_IN_GA(s(s(s(0))), T2262) → LOG21462_IN_A(T2262)
LOG2244_IN_GGA(s(0), s(T684), T686) → U15_GGA(T684, T686, log2257_in_ga(T684, T686))
LOG2244_IN_GGA(s(0), s(T684), T686) → LOG2257_IN_GA(T684, T686)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_GA(T2292, log21540_in_a(T2292))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → LOG21540_IN_A(T2292)
LOG21540_IN_A(T2324) → U72_A(T2324, log21425_in_a(T2324))
LOG21540_IN_A(T2324) → LOG21425_IN_A(T2324)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_GA(T2292, log21540_in_a(T2292))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → LOG21540_IN_A(T2292)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_GA(T2351, log21606_in_a(T2351))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → LOG21606_IN_A(T2351)
LOG21606_IN_A(T2383) → U73_A(T2383, log21425_in_a(T2383))
LOG21606_IN_A(T2383) → LOG21425_IN_A(T2383)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_GA(T2351, log21606_in_a(T2351))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → LOG21606_IN_A(T2351)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_GA(T2410, log21676_in_a(T2410))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2410) → LOG21676_IN_A(T2410)
LOG21676_IN_A(T2431) → U74_A(T2431, log21462_in_a(T2431))
LOG21676_IN_A(T2431) → LOG21462_IN_A(T2431)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_GA(T2410, log21676_in_a(T2410))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → LOG21676_IN_A(T2410)
LOG2207_IN_GA(s(s(s(s(s(s(0)))))), T2450) → U83_GA(T2450, log21727_in_a(T2450))
LOG2207_IN_GA(s(s(s(s(s(s(0)))))), T2450) → LOG21727_IN_A(T2450)
LOG21727_IN_A(T2471) → U75_A(T2471, log21462_in_a(T2471))
LOG21727_IN_A(T2471) → LOG21462_IN_A(T2471)
LOG2207_IN_GA(s(s(s(s(s(s(s(0))))))), T2450) → U84_GA(T2450, log21727_in_a(T2450))
LOG2207_IN_GA(s(s(s(s(s(s(s(0))))))), T2450) → LOG21727_IN_A(T2450)
LOG2207_IN_GA(s(s(s(s(0)))), T2488) → U85_GA(T2488, log21782_in_a(T2488))
LOG2207_IN_GA(s(s(s(s(0)))), T2488) → LOG21782_IN_A(T2488)
LOG2207_IN_GA(s(s(s(s(s(0))))), T2488) → U86_GA(T2488, log21782_in_a(T2488))
LOG2207_IN_GA(s(s(s(s(s(0))))), T2488) → LOG21782_IN_A(T2488)
LOG2207_IN_GA(s(s(0)), T2504) → U87_GA(T2504, log21819_in_a(T2504))
LOG2207_IN_GA(s(s(0)), T2504) → LOG21819_IN_A(T2504)
LOG2207_IN_GA(s(s(s(0))), T2504) → U88_GA(T2504, log21819_in_a(T2504))
LOG2207_IN_GA(s(s(s(0))), T2504) → LOG21819_IN_A(T2504)
LOG2194_IN_GGA(s(0), s(T550), T552) → U12_GGA(T550, T552, log2207_in_ga(T550, T552))
LOG2194_IN_GGA(s(0), s(T550), T552) → LOG2207_IN_GA(T550, T552)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_GA(T2534, log21897_in_a(T2534))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → LOG21897_IN_A(T2534)
LOG21897_IN_A(T2566) → U89_A(T2566, log21782_in_a(T2566))
LOG21897_IN_A(T2566) → LOG21782_IN_A(T2566)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_GA(T2534, log21897_in_a(T2534))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → LOG21897_IN_A(T2534)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_GA(T2593, log21963_in_a(T2593))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → LOG21963_IN_A(T2593)
LOG21963_IN_A(T2625) → U90_A(T2625, log21782_in_a(T2625))
LOG21963_IN_A(T2625) → LOG21782_IN_A(T2625)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_GA(T2593, log21963_in_a(T2593))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → LOG21963_IN_A(T2593)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_GA(T2652, log22033_in_a(T2652))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2652) → LOG22033_IN_A(T2652)
LOG22033_IN_A(T2673) → U91_A(T2673, log21819_in_a(T2673))
LOG22033_IN_A(T2673) → LOG21819_IN_A(T2673)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_GA(T2652, log22033_in_a(T2652))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → LOG22033_IN_A(T2652)
LOG2157_IN_GA(s(s(s(s(s(s(0)))))), T2692) → U100_GA(T2692, log22084_in_a(T2692))
LOG2157_IN_GA(s(s(s(s(s(s(0)))))), T2692) → LOG22084_IN_A(T2692)
LOG22084_IN_A(T2713) → U92_A(T2713, log21819_in_a(T2713))
LOG22084_IN_A(T2713) → LOG21819_IN_A(T2713)
LOG2157_IN_GA(s(s(s(s(s(s(s(0))))))), T2692) → U101_GA(T2692, log22084_in_a(T2692))
LOG2157_IN_GA(s(s(s(s(s(s(s(0))))))), T2692) → LOG22084_IN_A(T2692)
LOG2157_IN_GA(s(s(s(s(0)))), T2730) → U102_GA(T2730, log22139_in_a(T2730))
LOG2157_IN_GA(s(s(s(s(0)))), T2730) → LOG22139_IN_A(T2730)
LOG2157_IN_GA(s(s(s(s(s(0))))), T2730) → U103_GA(T2730, log22139_in_a(T2730))
LOG2157_IN_GA(s(s(s(s(s(0))))), T2730) → LOG22139_IN_A(T2730)
LOG2157_IN_GA(s(s(0)), T2746) → U104_GA(T2746, log22176_in_a(T2746))
LOG2157_IN_GA(s(s(0)), T2746) → LOG22176_IN_A(T2746)
LOG2157_IN_GA(s(s(s(0))), T2746) → U105_GA(T2746, log22176_in_a(T2746))
LOG2157_IN_GA(s(s(s(0))), T2746) → LOG22176_IN_A(T2746)
LOG2144_IN_GGA(s(0), s(T416), T418) → U9_GGA(T416, T418, log2157_in_ga(T416, T418))
LOG2144_IN_GGA(s(0), s(T416), T418) → LOG2157_IN_GA(T416, T418)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_GA(T2776, log22254_in_a(T2776))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → LOG22254_IN_A(T2776)
LOG22254_IN_A(T2808) → U106_A(T2808, log22139_in_a(T2808))
LOG22254_IN_A(T2808) → LOG22139_IN_A(T2808)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_GA(T2776, log22254_in_a(T2776))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → LOG22254_IN_A(T2776)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_GA(T2835, log22320_in_a(T2835))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → LOG22320_IN_A(T2835)
LOG22320_IN_A(T2867) → U107_A(T2867, log22139_in_a(T2867))
LOG22320_IN_A(T2867) → LOG22139_IN_A(T2867)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_GA(T2835, log22320_in_a(T2835))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → LOG22320_IN_A(T2835)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_GA(T2894, log22390_in_a(T2894))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2894) → LOG22390_IN_A(T2894)
LOG22390_IN_A(T2915) → U108_A(T2915, log22176_in_a(T2915))
LOG22390_IN_A(T2915) → LOG22176_IN_A(T2915)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_GA(T2894, log22390_in_a(T2894))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → LOG22390_IN_A(T2894)
LOG2107_IN_GA(s(s(s(s(s(s(0)))))), T2934) → U117_GA(T2934, log22441_in_a(T2934))
LOG2107_IN_GA(s(s(s(s(s(s(0)))))), T2934) → LOG22441_IN_A(T2934)
LOG22441_IN_A(T2955) → U109_A(T2955, log22176_in_a(T2955))
LOG22441_IN_A(T2955) → LOG22176_IN_A(T2955)
LOG2107_IN_GA(s(s(s(s(s(s(s(0))))))), T2934) → U118_GA(T2934, log22441_in_a(T2934))
LOG2107_IN_GA(s(s(s(s(s(s(s(0))))))), T2934) → LOG22441_IN_A(T2934)
LOG2107_IN_GA(s(s(s(s(0)))), T2972) → U119_GA(T2972, log22496_in_a(T2972))
LOG2107_IN_GA(s(s(s(s(0)))), T2972) → LOG22496_IN_A(T2972)
LOG2107_IN_GA(s(s(s(s(s(0))))), T2972) → U120_GA(T2972, log22496_in_a(T2972))
LOG2107_IN_GA(s(s(s(s(s(0))))), T2972) → LOG22496_IN_A(T2972)
LOG2107_IN_GA(s(s(0)), T2988) → U121_GA(T2988, log22533_in_a(T2988))
LOG2107_IN_GA(s(s(0)), T2988) → LOG22533_IN_A(T2988)
LOG2107_IN_GA(s(s(s(0))), T2988) → U122_GA(T2988, log22533_in_a(T2988))
LOG2107_IN_GA(s(s(s(0))), T2988) → LOG22533_IN_A(T2988)
LOG294_IN_GGA(s(0), s(T282), T284) → U6_GGA(T282, T284, log2107_in_ga(T282, T284))
LOG294_IN_GGA(s(0), s(T282), T284) → LOG2107_IN_GA(T282, T284)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_GA(T3018, log22611_in_a(T3018))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → LOG22611_IN_A(T3018)
LOG22611_IN_A(T3050) → U123_A(T3050, log22496_in_a(T3050))
LOG22611_IN_A(T3050) → LOG22496_IN_A(T3050)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_GA(T3018, log22611_in_a(T3018))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → LOG22611_IN_A(T3018)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_GA(T3077, log22677_in_a(T3077))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → LOG22677_IN_A(T3077)
LOG22677_IN_A(T3109) → U124_A(T3109, log22496_in_a(T3109))
LOG22677_IN_A(T3109) → LOG22496_IN_A(T3109)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_GA(T3077, log22677_in_a(T3077))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → LOG22677_IN_A(T3077)
LOG257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_GA(T3136, log22747_in_a(T3136))
LOG257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3136) → LOG22747_IN_A(T3136)
LOG22747_IN_A(T3157) → U125_A(T3157, log22533_in_a(T3157))
LOG22747_IN_A(T3157) → LOG22533_IN_A(T3157)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_GA(T3136, log22747_in_a(T3136))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → LOG22747_IN_A(T3136)
LOG257_IN_GA(s(s(s(s(s(s(0)))))), T3176) → U134_GA(T3176, log22798_in_a(T3176))
LOG257_IN_GA(s(s(s(s(s(s(0)))))), T3176) → LOG22798_IN_A(T3176)
LOG22798_IN_A(T3197) → U126_A(T3197, log22533_in_a(T3197))
LOG22798_IN_A(T3197) → LOG22533_IN_A(T3197)
LOG257_IN_GA(s(s(s(s(s(s(s(0))))))), T3176) → U135_GA(T3176, log22798_in_a(T3176))
LOG257_IN_GA(s(s(s(s(s(s(s(0))))))), T3176) → LOG22798_IN_A(T3176)
LOG257_IN_GA(s(s(s(s(0)))), T3214) → U136_GA(T3214, log22853_in_a(T3214))
LOG257_IN_GA(s(s(s(s(0)))), T3214) → LOG22853_IN_A(T3214)
LOG257_IN_GA(s(s(s(s(s(0))))), T3214) → U137_GA(T3214, log22853_in_a(T3214))
LOG257_IN_GA(s(s(s(s(s(0))))), T3214) → LOG22853_IN_A(T3214)
LOG257_IN_GA(s(s(0)), T3230) → U138_GA(T3230, log22890_in_a(T3230))
LOG257_IN_GA(s(s(0)), T3230) → LOG22890_IN_A(T3230)
LOG257_IN_GA(s(s(s(0))), T3230) → U139_GA(T3230, log22890_in_a(T3230))
LOG257_IN_GA(s(s(s(0))), T3230) → LOG22890_IN_A(T3230)
LOG244_IN_GGA(s(0), s(T148), T150) → U3_GGA(T148, T150, log257_in_ga(T148, T150))
LOG244_IN_GGA(s(0), s(T148), T150) → LOG257_IN_GA(T148, T150)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_GA(T3260, log22968_in_a(T3260))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → LOG22968_IN_A(T3260)
LOG22968_IN_A(T3292) → U140_A(T3292, log22853_in_a(T3292))
LOG22968_IN_A(T3292) → LOG22853_IN_A(T3292)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_GA(T3260, log22968_in_a(T3260))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → LOG22968_IN_A(T3260)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_GA(T3319, log23034_in_a(T3319))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → LOG23034_IN_A(T3319)
LOG23034_IN_A(T3351) → U141_A(T3351, log22853_in_a(T3351))
LOG23034_IN_A(T3351) → LOG22853_IN_A(T3351)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_GA(T3319, log23034_in_a(T3319))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → LOG23034_IN_A(T3319)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_GA(T3378, log23104_in_a(T3378))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → LOG23104_IN_A(T3378)
LOG23104_IN_A(T3399) → U142_A(T3399, log22890_in_a(T3399))
LOG23104_IN_A(T3399) → LOG22890_IN_A(T3399)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_GA(T3378, log23104_in_a(T3378))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → LOG23104_IN_A(T3378)
LOG21_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_GA(T3418, log23155_in_a(T3418))
LOG21_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3418) → LOG23155_IN_A(T3418)
LOG23155_IN_A(T3439) → U143_A(T3439, log22890_in_a(T3439))
LOG23155_IN_A(T3439) → LOG22890_IN_A(T3439)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_GA(T3418, log23155_in_a(T3418))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → LOG23155_IN_A(T3418)
LOG21_IN_GA(s(s(s(s(s(s(0)))))), T3456) → U157_GA(T3456, log23210_in_a(T3456))
LOG21_IN_GA(s(s(s(s(s(s(0)))))), T3456) → LOG23210_IN_A(T3456)
LOG21_IN_GA(s(s(s(s(s(s(s(0))))))), T3456) → U158_GA(T3456, log23210_in_a(T3456))
LOG21_IN_GA(s(s(s(s(s(s(s(0))))))), T3456) → LOG23210_IN_A(T3456)
LOG21_IN_GA(s(s(s(s(0)))), T3472) → U159_GA(T3472, log23247_in_a(T3472))
LOG21_IN_GA(s(s(s(s(0)))), T3472) → LOG23247_IN_A(T3472)
LOG21_IN_GA(s(s(s(s(s(0))))), T3472) → U160_GA(T3472, log23247_in_a(T3472))
LOG21_IN_GA(s(s(s(s(s(0))))), T3472) → LOG23247_IN_A(T3472)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG21_IN_GA(x1, x2)  =  LOG21_IN_GA(x1)
U148_GA(x1, x2, x3)  =  U148_GA(x3)
LOG244_IN_GGA(x1, x2, x3)  =  LOG244_IN_GGA(x1, x2)
U1_GGA(x1, x2, x3, x4)  =  U1_GGA(x4)
U2_GGA(x1, x2, x3)  =  U2_GGA(x3)
LOG257_IN_GA(x1, x2)  =  LOG257_IN_GA(x1)
U127_GA(x1, x2, x3)  =  U127_GA(x3)
LOG294_IN_GGA(x1, x2, x3)  =  LOG294_IN_GGA(x1, x2)
U4_GGA(x1, x2, x3, x4)  =  U4_GGA(x4)
U5_GGA(x1, x2, x3)  =  U5_GGA(x3)
LOG2107_IN_GA(x1, x2)  =  LOG2107_IN_GA(x1)
U110_GA(x1, x2, x3)  =  U110_GA(x3)
LOG2144_IN_GGA(x1, x2, x3)  =  LOG2144_IN_GGA(x1, x2)
U7_GGA(x1, x2, x3, x4)  =  U7_GGA(x4)
U8_GGA(x1, x2, x3)  =  U8_GGA(x3)
LOG2157_IN_GA(x1, x2)  =  LOG2157_IN_GA(x1)
U93_GA(x1, x2, x3)  =  U93_GA(x3)
LOG2194_IN_GGA(x1, x2, x3)  =  LOG2194_IN_GGA(x1, x2)
U10_GGA(x1, x2, x3, x4)  =  U10_GGA(x4)
U11_GGA(x1, x2, x3)  =  U11_GGA(x3)
LOG2207_IN_GA(x1, x2)  =  LOG2207_IN_GA(x1)
U76_GA(x1, x2, x3)  =  U76_GA(x3)
LOG2244_IN_GGA(x1, x2, x3)  =  LOG2244_IN_GGA(x1, x2)
U13_GGA(x1, x2, x3, x4)  =  U13_GGA(x4)
U14_GGA(x1, x2, x3)  =  U14_GGA(x3)
LOG2257_IN_GA(x1, x2)  =  LOG2257_IN_GA(x1)
U59_GA(x1, x2, x3)  =  U59_GA(x3)
LOG2294_IN_GGA(x1, x2, x3)  =  LOG2294_IN_GGA(x1, x2)
U16_GGA(x1, x2, x3, x4)  =  U16_GGA(x4)
U17_GGA(x1, x2, x3)  =  U17_GGA(x3)
LOG2307_IN_GA(x1, x2)  =  LOG2307_IN_GA(x1)
U42_GA(x1, x2, x3)  =  U42_GA(x3)
LOG2344_IN_GGA(x1, x2, x3)  =  LOG2344_IN_GGA(x1, x2)
U19_GGA(x1, x2, x3, x4)  =  U19_GGA(x4)
U20_GGA(x1, x2, x3)  =  U20_GGA(x3)
LOG2359_IN_GGA(x1, x2, x3)  =  LOG2359_IN_GGA(x1, x2)
U25_GGA(x1, x2, x3, x4)  =  U25_GGA(x4)
LOG2395_IN_GGGA(x1, x2, x3, x4)  =  LOG2395_IN_GGGA(x1, x2, x3)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x5)
U23_GGGA(x1, x2, x3, x4)  =  U23_GGGA(x4)
U26_GGA(x1, x2, x3)  =  U26_GGA(x3)
LOG2437_IN_GA(x1, x2)  =  LOG2437_IN_GA(x1)
U38_GA(x1, x2, x3)  =  U38_GA(x3)
LOG2454_IN_GA(x1, x2)  =  LOG2454_IN_GA(x1)
U27_GGA(x1, x2, x3)  =  U27_GGA(x3)
U28_GGA(x1, x2, x3)  =  U28_GGA(x3)
LOG2515_IN_GA(x1, x2)  =  LOG2515_IN_GA(x1)
U39_GA(x1, x2, x3)  =  U39_GA(x3)
U29_GGA(x1, x2, x3)  =  U29_GGA(x3)
U30_GGA(x1, x2, x3)  =  U30_GGA(x3)
LOG2585_IN_GA(x1, x2)  =  LOG2585_IN_GA(x1)
U40_GA(x1, x2, x3)  =  U40_GA(x3)
LOG2598_IN_GA(x1, x2)  =  LOG2598_IN_GA(x1)
U31_GGA(x1, x2, x3)  =  U31_GGA(x3)
U32_GGA(x1, x2, x3)  =  U32_GGA(x3)
LOG2650_IN_GA(x1, x2)  =  LOG2650_IN_GA(x1)
U41_GA(x1, x2, x3)  =  U41_GA(x3)
U33_GGA(x1, x2, x3)  =  U33_GGA(x3)
U34_GGA(x1, x2, x3)  =  U34_GGA(x3)
LOG2705_IN_GA(x1, x2)  =  LOG2705_IN_GA(x1)
U35_GGA(x1, x2, x3)  =  U35_GGA(x3)
U36_GGA(x1, x2, x3)  =  U36_GGA(x3)
LOG2742_IN_GA(x1, x2)  =  LOG2742_IN_GA(x1)
U37_GGA(x1, x2, x3)  =  U37_GGA(x3)
U24_GGGA(x1, x2, x3, x4)  =  U24_GGGA(x4)
U21_GGA(x1, x2, x3)  =  U21_GGA(x3)
U43_GA(x1, x2)  =  U43_GA(x2)
LOG2822_IN_GA(x1, x2)  =  LOG2822_IN_GA(x1)
U144_GA(x1, x2, x3)  =  U144_GA(x3)
U44_GA(x1, x2)  =  U44_GA(x2)
U45_GA(x1, x2)  =  U45_GA(x2)
LOG2889_IN_GA(x1, x2)  =  LOG2889_IN_GA(x1)
U145_GA(x1, x2, x3)  =  U145_GA(x3)
U46_GA(x1, x2)  =  U46_GA(x2)
U47_GA(x1, x2)  =  U47_GA(x2)
LOG2960_IN_GA(x1, x2)  =  LOG2960_IN_GA(x1)
U146_GA(x1, x2, x3)  =  U146_GA(x3)
U48_GA(x1, x2)  =  U48_GA(x2)
U49_GA(x1, x2)  =  U49_GA(x2)
LOG21012_IN_GA(x1, x2)  =  LOG21012_IN_GA(x1)
U147_GA(x1, x2, x3)  =  U147_GA(x3)
U50_GA(x1, x2)  =  U50_GA(x2)
U51_GA(x1, x2)  =  U51_GA(x2)
LOG21068_IN_GA(x1, x2)  =  LOG21068_IN_GA(x1)
U52_GA(x1, x2)  =  U52_GA(x2)
U53_GA(x1, x2)  =  U53_GA(x2)
LOG21106_IN_GA(x1, x2)  =  LOG21106_IN_GA(x1)
U54_GA(x1, x2)  =  U54_GA(x2)
U18_GGA(x1, x2, x3)  =  U18_GGA(x3)
U60_GA(x1, x2)  =  U60_GA(x2)
LOG21183_IN_A(x1)  =  LOG21183_IN_A
U55_A(x1, x2)  =  U55_A(x2)
U61_GA(x1, x2)  =  U61_GA(x2)
U62_GA(x1, x2)  =  U62_GA(x2)
LOG21249_IN_A(x1)  =  LOG21249_IN_A
U56_A(x1, x2)  =  U56_A(x2)
U63_GA(x1, x2)  =  U63_GA(x2)
U64_GA(x1, x2)  =  U64_GA(x2)
LOG21319_IN_A(x1)  =  LOG21319_IN_A
U57_A(x1, x2)  =  U57_A(x2)
U65_GA(x1, x2)  =  U65_GA(x2)
U66_GA(x1, x2)  =  U66_GA(x2)
LOG21370_IN_A(x1)  =  LOG21370_IN_A
U58_A(x1, x2)  =  U58_A(x2)
U67_GA(x1, x2)  =  U67_GA(x2)
U68_GA(x1, x2)  =  U68_GA(x2)
LOG21425_IN_A(x1)  =  LOG21425_IN_A
U69_GA(x1, x2)  =  U69_GA(x2)
U70_GA(x1, x2)  =  U70_GA(x2)
LOG21462_IN_A(x1)  =  LOG21462_IN_A
U71_GA(x1, x2)  =  U71_GA(x2)
U15_GGA(x1, x2, x3)  =  U15_GGA(x3)
U77_GA(x1, x2)  =  U77_GA(x2)
LOG21540_IN_A(x1)  =  LOG21540_IN_A
U72_A(x1, x2)  =  U72_A(x2)
U78_GA(x1, x2)  =  U78_GA(x2)
U79_GA(x1, x2)  =  U79_GA(x2)
LOG21606_IN_A(x1)  =  LOG21606_IN_A
U73_A(x1, x2)  =  U73_A(x2)
U80_GA(x1, x2)  =  U80_GA(x2)
U81_GA(x1, x2)  =  U81_GA(x2)
LOG21676_IN_A(x1)  =  LOG21676_IN_A
U74_A(x1, x2)  =  U74_A(x2)
U82_GA(x1, x2)  =  U82_GA(x2)
U83_GA(x1, x2)  =  U83_GA(x2)
LOG21727_IN_A(x1)  =  LOG21727_IN_A
U75_A(x1, x2)  =  U75_A(x2)
U84_GA(x1, x2)  =  U84_GA(x2)
U85_GA(x1, x2)  =  U85_GA(x2)
LOG21782_IN_A(x1)  =  LOG21782_IN_A
U86_GA(x1, x2)  =  U86_GA(x2)
U87_GA(x1, x2)  =  U87_GA(x2)
LOG21819_IN_A(x1)  =  LOG21819_IN_A
U88_GA(x1, x2)  =  U88_GA(x2)
U12_GGA(x1, x2, x3)  =  U12_GGA(x3)
U94_GA(x1, x2)  =  U94_GA(x2)
LOG21897_IN_A(x1)  =  LOG21897_IN_A
U89_A(x1, x2)  =  U89_A(x2)
U95_GA(x1, x2)  =  U95_GA(x2)
U96_GA(x1, x2)  =  U96_GA(x2)
LOG21963_IN_A(x1)  =  LOG21963_IN_A
U90_A(x1, x2)  =  U90_A(x2)
U97_GA(x1, x2)  =  U97_GA(x2)
U98_GA(x1, x2)  =  U98_GA(x2)
LOG22033_IN_A(x1)  =  LOG22033_IN_A
U91_A(x1, x2)  =  U91_A(x2)
U99_GA(x1, x2)  =  U99_GA(x2)
U100_GA(x1, x2)  =  U100_GA(x2)
LOG22084_IN_A(x1)  =  LOG22084_IN_A
U92_A(x1, x2)  =  U92_A(x2)
U101_GA(x1, x2)  =  U101_GA(x2)
U102_GA(x1, x2)  =  U102_GA(x2)
LOG22139_IN_A(x1)  =  LOG22139_IN_A
U103_GA(x1, x2)  =  U103_GA(x2)
U104_GA(x1, x2)  =  U104_GA(x2)
LOG22176_IN_A(x1)  =  LOG22176_IN_A
U105_GA(x1, x2)  =  U105_GA(x2)
U9_GGA(x1, x2, x3)  =  U9_GGA(x3)
U111_GA(x1, x2)  =  U111_GA(x2)
LOG22254_IN_A(x1)  =  LOG22254_IN_A
U106_A(x1, x2)  =  U106_A(x2)
U112_GA(x1, x2)  =  U112_GA(x2)
U113_GA(x1, x2)  =  U113_GA(x2)
LOG22320_IN_A(x1)  =  LOG22320_IN_A
U107_A(x1, x2)  =  U107_A(x2)
U114_GA(x1, x2)  =  U114_GA(x2)
U115_GA(x1, x2)  =  U115_GA(x2)
LOG22390_IN_A(x1)  =  LOG22390_IN_A
U108_A(x1, x2)  =  U108_A(x2)
U116_GA(x1, x2)  =  U116_GA(x2)
U117_GA(x1, x2)  =  U117_GA(x2)
LOG22441_IN_A(x1)  =  LOG22441_IN_A
U109_A(x1, x2)  =  U109_A(x2)
U118_GA(x1, x2)  =  U118_GA(x2)
U119_GA(x1, x2)  =  U119_GA(x2)
LOG22496_IN_A(x1)  =  LOG22496_IN_A
U120_GA(x1, x2)  =  U120_GA(x2)
U121_GA(x1, x2)  =  U121_GA(x2)
LOG22533_IN_A(x1)  =  LOG22533_IN_A
U122_GA(x1, x2)  =  U122_GA(x2)
U6_GGA(x1, x2, x3)  =  U6_GGA(x3)
U128_GA(x1, x2)  =  U128_GA(x2)
LOG22611_IN_A(x1)  =  LOG22611_IN_A
U123_A(x1, x2)  =  U123_A(x2)
U129_GA(x1, x2)  =  U129_GA(x2)
U130_GA(x1, x2)  =  U130_GA(x2)
LOG22677_IN_A(x1)  =  LOG22677_IN_A
U124_A(x1, x2)  =  U124_A(x2)
U131_GA(x1, x2)  =  U131_GA(x2)
U132_GA(x1, x2)  =  U132_GA(x2)
LOG22747_IN_A(x1)  =  LOG22747_IN_A
U125_A(x1, x2)  =  U125_A(x2)
U133_GA(x1, x2)  =  U133_GA(x2)
U134_GA(x1, x2)  =  U134_GA(x2)
LOG22798_IN_A(x1)  =  LOG22798_IN_A
U126_A(x1, x2)  =  U126_A(x2)
U135_GA(x1, x2)  =  U135_GA(x2)
U136_GA(x1, x2)  =  U136_GA(x2)
LOG22853_IN_A(x1)  =  LOG22853_IN_A
U137_GA(x1, x2)  =  U137_GA(x2)
U138_GA(x1, x2)  =  U138_GA(x2)
LOG22890_IN_A(x1)  =  LOG22890_IN_A
U139_GA(x1, x2)  =  U139_GA(x2)
U3_GGA(x1, x2, x3)  =  U3_GGA(x3)
U149_GA(x1, x2)  =  U149_GA(x2)
LOG22968_IN_A(x1)  =  LOG22968_IN_A
U140_A(x1, x2)  =  U140_A(x2)
U150_GA(x1, x2)  =  U150_GA(x2)
U151_GA(x1, x2)  =  U151_GA(x2)
LOG23034_IN_A(x1)  =  LOG23034_IN_A
U141_A(x1, x2)  =  U141_A(x2)
U152_GA(x1, x2)  =  U152_GA(x2)
U153_GA(x1, x2)  =  U153_GA(x2)
LOG23104_IN_A(x1)  =  LOG23104_IN_A
U142_A(x1, x2)  =  U142_A(x2)
U154_GA(x1, x2)  =  U154_GA(x2)
U155_GA(x1, x2)  =  U155_GA(x2)
LOG23155_IN_A(x1)  =  LOG23155_IN_A
U143_A(x1, x2)  =  U143_A(x2)
U156_GA(x1, x2)  =  U156_GA(x2)
U157_GA(x1, x2)  =  U157_GA(x2)
LOG23210_IN_A(x1)  =  LOG23210_IN_A
U158_GA(x1, x2)  =  U158_GA(x2)
U159_GA(x1, x2)  =  U159_GA(x2)
LOG23247_IN_A(x1)  =  LOG23247_IN_A
U160_GA(x1, x2)  =  U160_GA(x2)

We have to consider all (P,R,Pi)-chains

(6) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_GA(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → LOG244_IN_GGA(T107, s(s(s(s(s(s(s(0))))))), T109)
LOG244_IN_GGA(s(s(T128)), T129, T131) → U1_GGA(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
LOG244_IN_GGA(s(s(T128)), T129, T131) → LOG244_IN_GGA(T128, s(T129), T131)
LOG244_IN_GGA(0, s(T148), T150) → U2_GGA(T148, T150, log257_in_ga(T148, T150))
LOG244_IN_GGA(0, s(T148), T150) → LOG257_IN_GA(T148, T150)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_GA(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → LOG294_IN_GGA(T241, s(s(s(s(s(s(s(0))))))), T243)
LOG294_IN_GGA(s(s(T262)), T263, T265) → U4_GGA(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
LOG294_IN_GGA(s(s(T262)), T263, T265) → LOG294_IN_GGA(T262, s(T263), T265)
LOG294_IN_GGA(0, s(T282), T284) → U5_GGA(T282, T284, log2107_in_ga(T282, T284))
LOG294_IN_GGA(0, s(T282), T284) → LOG2107_IN_GA(T282, T284)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_GA(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → LOG2144_IN_GGA(T375, s(s(s(s(s(s(s(0))))))), T377)
LOG2144_IN_GGA(s(s(T396)), T397, T399) → U7_GGA(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
LOG2144_IN_GGA(s(s(T396)), T397, T399) → LOG2144_IN_GGA(T396, s(T397), T399)
LOG2144_IN_GGA(0, s(T416), T418) → U8_GGA(T416, T418, log2157_in_ga(T416, T418))
LOG2144_IN_GGA(0, s(T416), T418) → LOG2157_IN_GA(T416, T418)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_GA(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → LOG2194_IN_GGA(T509, s(s(s(s(s(s(s(0))))))), T511)
LOG2194_IN_GGA(s(s(T530)), T531, T533) → U10_GGA(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
LOG2194_IN_GGA(s(s(T530)), T531, T533) → LOG2194_IN_GGA(T530, s(T531), T533)
LOG2194_IN_GGA(0, s(T550), T552) → U11_GGA(T550, T552, log2207_in_ga(T550, T552))
LOG2194_IN_GGA(0, s(T550), T552) → LOG2207_IN_GA(T550, T552)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_GA(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → LOG2244_IN_GGA(T643, s(s(s(s(s(s(s(0))))))), T645)
LOG2244_IN_GGA(s(s(T664)), T665, T667) → U13_GGA(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
LOG2244_IN_GGA(s(s(T664)), T665, T667) → LOG2244_IN_GGA(T664, s(T665), T667)
LOG2244_IN_GGA(0, s(T684), T686) → U14_GGA(T684, T686, log2257_in_ga(T684, T686))
LOG2244_IN_GGA(0, s(T684), T686) → LOG2257_IN_GA(T684, T686)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_GA(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → LOG2294_IN_GGA(T777, s(s(s(s(s(s(s(0))))))), T779)
LOG2294_IN_GGA(s(s(T798)), T799, T801) → U16_GGA(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
LOG2294_IN_GGA(s(s(T798)), T799, T801) → LOG2294_IN_GGA(T798, s(T799), T801)
LOG2294_IN_GGA(0, s(T818), T820) → U17_GGA(T818, T820, log2307_in_ga(T818, T820))
LOG2294_IN_GGA(0, s(T818), T820) → LOG2307_IN_GA(T818, T820)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_GA(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → LOG2344_IN_GGA(T911, s(s(s(s(s(s(s(0))))))), T913)
LOG2344_IN_GGA(s(s(T932)), T933, T935) → U19_GGA(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
LOG2344_IN_GGA(s(s(T932)), T933, T935) → LOG2344_IN_GGA(T932, s(T933), T935)
LOG2344_IN_GGA(0, s(T952), T954) → U20_GGA(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
LOG2344_IN_GGA(0, s(T952), T954) → LOG2359_IN_GGA(T952, s(s(s(s(s(s(s(0))))))), T954)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_GGA(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → U22_GGGA(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → LOG2395_IN_GGGA(T1117, s(T1118), T1119, T1121)
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → U23_GGGA(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_GGA(T1184, T1186, log2437_in_ga(T1184, T1186))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → LOG2437_IN_GA(T1184, T1186)
LOG2437_IN_GA(T1241, T1243) → U38_GA(T1241, T1243, log2454_in_ga(T1241, T1243))
LOG2437_IN_GA(T1241, T1243) → LOG2454_IN_GA(T1241, T1243)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_GGA(T1184, T1186, log2437_in_ga(T1184, T1186))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → LOG2437_IN_GA(T1184, T1186)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_GGA(T1302, T1304, log2515_in_ga(T1302, T1304))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → LOG2515_IN_GA(T1302, T1304)
LOG2515_IN_GA(T1359, T1361) → U39_GA(T1359, T1361, log2454_in_ga(T1359, T1361))
LOG2515_IN_GA(T1359, T1361) → LOG2454_IN_GA(T1359, T1361)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_GGA(T1302, T1304, log2515_in_ga(T1302, T1304))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → LOG2515_IN_GA(T1302, T1304)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_GGA(T1418, T1420, log2585_in_ga(T1418, T1420))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → LOG2585_IN_GA(T1418, T1420)
LOG2585_IN_GA(T1456, T1458) → U40_GA(T1456, T1458, log2598_in_ga(T1456, T1458))
LOG2585_IN_GA(T1456, T1458) → LOG2598_IN_GA(T1456, T1458)
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_GGA(T1418, T1420, log2585_in_ga(T1418, T1420))
LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → LOG2585_IN_GA(T1418, T1420)
LOG2359_IN_GGA(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_GGA(T1498, T1500, log2650_in_ga(T1498, T1500))
LOG2359_IN_GGA(s(s(s(s(s(s(0)))))), T1498, T1500) → LOG2650_IN_GA(T1498, T1500)
LOG2650_IN_GA(T1536, T1538) → U41_GA(T1536, T1538, log2598_in_ga(T1536, T1538))
LOG2650_IN_GA(T1536, T1538) → LOG2598_IN_GA(T1536, T1538)
LOG2359_IN_GGA(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_GGA(T1498, T1500, log2650_in_ga(T1498, T1500))
LOG2359_IN_GGA(s(s(s(s(s(s(s(0))))))), T1498, T1500) → LOG2650_IN_GA(T1498, T1500)
LOG2359_IN_GGA(s(s(s(s(0)))), T1574, T1576) → U34_GGA(T1574, T1576, log2705_in_ga(T1574, T1576))
LOG2359_IN_GGA(s(s(s(s(0)))), T1574, T1576) → LOG2705_IN_GA(T1574, T1576)
LOG2359_IN_GGA(s(s(s(s(s(0))))), T1574, T1576) → U35_GGA(T1574, T1576, log2705_in_ga(T1574, T1576))
LOG2359_IN_GGA(s(s(s(s(s(0))))), T1574, T1576) → LOG2705_IN_GA(T1574, T1576)
LOG2359_IN_GGA(s(s(0)), T1606, T1608) → U36_GGA(T1606, T1608, log2742_in_ga(T1606, T1608))
LOG2359_IN_GGA(s(s(0)), T1606, T1608) → LOG2742_IN_GA(T1606, T1608)
LOG2359_IN_GGA(s(s(s(0))), T1606, T1608) → U37_GGA(T1606, T1608, log2742_in_ga(T1606, T1608))
LOG2359_IN_GGA(s(s(s(0))), T1606, T1608) → LOG2742_IN_GA(T1606, T1608)
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → U24_GGGA(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2344_IN_GGA(s(0), s(T952), T954) → U21_GGA(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
LOG2344_IN_GGA(s(0), s(T952), T954) → LOG2359_IN_GGA(T952, s(s(s(s(s(s(s(0))))))), T954)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_GA(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → LOG2822_IN_GA(s(s(s(s(s(s(s(0))))))), T1650)
LOG2822_IN_GA(T1706, T1708) → U144_GA(T1706, T1708, log2705_in_ga(T1706, T1708))
LOG2822_IN_GA(T1706, T1708) → LOG2705_IN_GA(T1706, T1708)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_GA(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → LOG2822_IN_GA(s(s(s(s(s(s(s(0))))))), T1650)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_GA(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → LOG2889_IN_GA(s(s(s(s(s(s(s(0))))))), T1755)
LOG2889_IN_GA(T1811, T1813) → U145_GA(T1811, T1813, log2705_in_ga(T1811, T1813))
LOG2889_IN_GA(T1811, T1813) → LOG2705_IN_GA(T1811, T1813)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_GA(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → LOG2889_IN_GA(s(s(s(s(s(s(s(0))))))), T1755)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_GA(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T1861) → LOG2960_IN_GA(s(s(s(s(s(s(s(0))))))), T1861)
LOG2960_IN_GA(T1898, T1900) → U146_GA(T1898, T1900, log2742_in_ga(T1898, T1900))
LOG2960_IN_GA(T1898, T1900) → LOG2742_IN_GA(T1898, T1900)
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_GA(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
LOG2307_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → LOG2960_IN_GA(s(s(s(s(s(s(s(0))))))), T1861)
LOG2307_IN_GA(s(s(s(s(s(s(0)))))), T1928) → U49_GA(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
LOG2307_IN_GA(s(s(s(s(s(s(0)))))), T1928) → LOG21012_IN_GA(s(s(s(s(s(s(s(0))))))), T1928)
LOG21012_IN_GA(T1965, T1967) → U147_GA(T1965, T1967, log2742_in_ga(T1965, T1967))
LOG21012_IN_GA(T1965, T1967) → LOG2742_IN_GA(T1965, T1967)
LOG2307_IN_GA(s(s(s(s(s(s(s(0))))))), T1928) → U50_GA(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
LOG2307_IN_GA(s(s(s(s(s(s(s(0))))))), T1928) → LOG21012_IN_GA(s(s(s(s(s(s(s(0))))))), T1928)
LOG2307_IN_GA(s(s(s(s(0)))), T1994) → U51_GA(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
LOG2307_IN_GA(s(s(s(s(0)))), T1994) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T1994)
LOG2307_IN_GA(s(s(s(s(s(0))))), T1994) → U52_GA(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
LOG2307_IN_GA(s(s(s(s(s(0))))), T1994) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T1994)
LOG2307_IN_GA(s(s(0)), T2015) → U53_GA(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
LOG2307_IN_GA(s(s(0)), T2015) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2015)
LOG2307_IN_GA(s(s(s(0))), T2015) → U54_GA(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
LOG2307_IN_GA(s(s(s(0))), T2015) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2015)
LOG2294_IN_GGA(s(0), s(T818), T820) → U18_GGA(T818, T820, log2307_in_ga(T818, T820))
LOG2294_IN_GGA(s(0), s(T818), T820) → LOG2307_IN_GA(T818, T820)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_GA(T2050, log21183_in_a(T2050))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → LOG21183_IN_A(T2050)
LOG21183_IN_A(T2082) → U55_A(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
LOG21183_IN_A(T2082) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T2082)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_GA(T2050, log21183_in_a(T2050))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → LOG21183_IN_A(T2050)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_GA(T2109, log21249_in_a(T2109))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → LOG21249_IN_A(T2109)
LOG21249_IN_A(T2141) → U56_A(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
LOG21249_IN_A(T2141) → LOG21068_IN_GA(s(s(s(s(s(s(s(0))))))), T2141)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_GA(T2109, log21249_in_a(T2109))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → LOG21249_IN_A(T2109)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_GA(T2168, log21319_in_a(T2168))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2168) → LOG21319_IN_A(T2168)
LOG21319_IN_A(T2189) → U57_A(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
LOG21319_IN_A(T2189) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2189)
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_GA(T2168, log21319_in_a(T2168))
LOG2257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → LOG21319_IN_A(T2168)
LOG2257_IN_GA(s(s(s(s(s(s(0)))))), T2208) → U66_GA(T2208, log21370_in_a(T2208))
LOG2257_IN_GA(s(s(s(s(s(s(0)))))), T2208) → LOG21370_IN_A(T2208)
LOG21370_IN_A(T2229) → U58_A(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
LOG21370_IN_A(T2229) → LOG21106_IN_GA(s(s(s(s(s(s(s(0))))))), T2229)
LOG2257_IN_GA(s(s(s(s(s(s(s(0))))))), T2208) → U67_GA(T2208, log21370_in_a(T2208))
LOG2257_IN_GA(s(s(s(s(s(s(s(0))))))), T2208) → LOG21370_IN_A(T2208)
LOG2257_IN_GA(s(s(s(s(0)))), T2246) → U68_GA(T2246, log21425_in_a(T2246))
LOG2257_IN_GA(s(s(s(s(0)))), T2246) → LOG21425_IN_A(T2246)
LOG2257_IN_GA(s(s(s(s(s(0))))), T2246) → U69_GA(T2246, log21425_in_a(T2246))
LOG2257_IN_GA(s(s(s(s(s(0))))), T2246) → LOG21425_IN_A(T2246)
LOG2257_IN_GA(s(s(0)), T2262) → U70_GA(T2262, log21462_in_a(T2262))
LOG2257_IN_GA(s(s(0)), T2262) → LOG21462_IN_A(T2262)
LOG2257_IN_GA(s(s(s(0))), T2262) → U71_GA(T2262, log21462_in_a(T2262))
LOG2257_IN_GA(s(s(s(0))), T2262) → LOG21462_IN_A(T2262)
LOG2244_IN_GGA(s(0), s(T684), T686) → U15_GGA(T684, T686, log2257_in_ga(T684, T686))
LOG2244_IN_GGA(s(0), s(T684), T686) → LOG2257_IN_GA(T684, T686)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_GA(T2292, log21540_in_a(T2292))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → LOG21540_IN_A(T2292)
LOG21540_IN_A(T2324) → U72_A(T2324, log21425_in_a(T2324))
LOG21540_IN_A(T2324) → LOG21425_IN_A(T2324)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_GA(T2292, log21540_in_a(T2292))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → LOG21540_IN_A(T2292)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_GA(T2351, log21606_in_a(T2351))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → LOG21606_IN_A(T2351)
LOG21606_IN_A(T2383) → U73_A(T2383, log21425_in_a(T2383))
LOG21606_IN_A(T2383) → LOG21425_IN_A(T2383)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_GA(T2351, log21606_in_a(T2351))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → LOG21606_IN_A(T2351)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_GA(T2410, log21676_in_a(T2410))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2410) → LOG21676_IN_A(T2410)
LOG21676_IN_A(T2431) → U74_A(T2431, log21462_in_a(T2431))
LOG21676_IN_A(T2431) → LOG21462_IN_A(T2431)
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_GA(T2410, log21676_in_a(T2410))
LOG2207_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → LOG21676_IN_A(T2410)
LOG2207_IN_GA(s(s(s(s(s(s(0)))))), T2450) → U83_GA(T2450, log21727_in_a(T2450))
LOG2207_IN_GA(s(s(s(s(s(s(0)))))), T2450) → LOG21727_IN_A(T2450)
LOG21727_IN_A(T2471) → U75_A(T2471, log21462_in_a(T2471))
LOG21727_IN_A(T2471) → LOG21462_IN_A(T2471)
LOG2207_IN_GA(s(s(s(s(s(s(s(0))))))), T2450) → U84_GA(T2450, log21727_in_a(T2450))
LOG2207_IN_GA(s(s(s(s(s(s(s(0))))))), T2450) → LOG21727_IN_A(T2450)
LOG2207_IN_GA(s(s(s(s(0)))), T2488) → U85_GA(T2488, log21782_in_a(T2488))
LOG2207_IN_GA(s(s(s(s(0)))), T2488) → LOG21782_IN_A(T2488)
LOG2207_IN_GA(s(s(s(s(s(0))))), T2488) → U86_GA(T2488, log21782_in_a(T2488))
LOG2207_IN_GA(s(s(s(s(s(0))))), T2488) → LOG21782_IN_A(T2488)
LOG2207_IN_GA(s(s(0)), T2504) → U87_GA(T2504, log21819_in_a(T2504))
LOG2207_IN_GA(s(s(0)), T2504) → LOG21819_IN_A(T2504)
LOG2207_IN_GA(s(s(s(0))), T2504) → U88_GA(T2504, log21819_in_a(T2504))
LOG2207_IN_GA(s(s(s(0))), T2504) → LOG21819_IN_A(T2504)
LOG2194_IN_GGA(s(0), s(T550), T552) → U12_GGA(T550, T552, log2207_in_ga(T550, T552))
LOG2194_IN_GGA(s(0), s(T550), T552) → LOG2207_IN_GA(T550, T552)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_GA(T2534, log21897_in_a(T2534))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → LOG21897_IN_A(T2534)
LOG21897_IN_A(T2566) → U89_A(T2566, log21782_in_a(T2566))
LOG21897_IN_A(T2566) → LOG21782_IN_A(T2566)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_GA(T2534, log21897_in_a(T2534))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → LOG21897_IN_A(T2534)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_GA(T2593, log21963_in_a(T2593))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → LOG21963_IN_A(T2593)
LOG21963_IN_A(T2625) → U90_A(T2625, log21782_in_a(T2625))
LOG21963_IN_A(T2625) → LOG21782_IN_A(T2625)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_GA(T2593, log21963_in_a(T2593))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → LOG21963_IN_A(T2593)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_GA(T2652, log22033_in_a(T2652))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2652) → LOG22033_IN_A(T2652)
LOG22033_IN_A(T2673) → U91_A(T2673, log21819_in_a(T2673))
LOG22033_IN_A(T2673) → LOG21819_IN_A(T2673)
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_GA(T2652, log22033_in_a(T2652))
LOG2157_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → LOG22033_IN_A(T2652)
LOG2157_IN_GA(s(s(s(s(s(s(0)))))), T2692) → U100_GA(T2692, log22084_in_a(T2692))
LOG2157_IN_GA(s(s(s(s(s(s(0)))))), T2692) → LOG22084_IN_A(T2692)
LOG22084_IN_A(T2713) → U92_A(T2713, log21819_in_a(T2713))
LOG22084_IN_A(T2713) → LOG21819_IN_A(T2713)
LOG2157_IN_GA(s(s(s(s(s(s(s(0))))))), T2692) → U101_GA(T2692, log22084_in_a(T2692))
LOG2157_IN_GA(s(s(s(s(s(s(s(0))))))), T2692) → LOG22084_IN_A(T2692)
LOG2157_IN_GA(s(s(s(s(0)))), T2730) → U102_GA(T2730, log22139_in_a(T2730))
LOG2157_IN_GA(s(s(s(s(0)))), T2730) → LOG22139_IN_A(T2730)
LOG2157_IN_GA(s(s(s(s(s(0))))), T2730) → U103_GA(T2730, log22139_in_a(T2730))
LOG2157_IN_GA(s(s(s(s(s(0))))), T2730) → LOG22139_IN_A(T2730)
LOG2157_IN_GA(s(s(0)), T2746) → U104_GA(T2746, log22176_in_a(T2746))
LOG2157_IN_GA(s(s(0)), T2746) → LOG22176_IN_A(T2746)
LOG2157_IN_GA(s(s(s(0))), T2746) → U105_GA(T2746, log22176_in_a(T2746))
LOG2157_IN_GA(s(s(s(0))), T2746) → LOG22176_IN_A(T2746)
LOG2144_IN_GGA(s(0), s(T416), T418) → U9_GGA(T416, T418, log2157_in_ga(T416, T418))
LOG2144_IN_GGA(s(0), s(T416), T418) → LOG2157_IN_GA(T416, T418)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_GA(T2776, log22254_in_a(T2776))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → LOG22254_IN_A(T2776)
LOG22254_IN_A(T2808) → U106_A(T2808, log22139_in_a(T2808))
LOG22254_IN_A(T2808) → LOG22139_IN_A(T2808)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_GA(T2776, log22254_in_a(T2776))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → LOG22254_IN_A(T2776)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_GA(T2835, log22320_in_a(T2835))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → LOG22320_IN_A(T2835)
LOG22320_IN_A(T2867) → U107_A(T2867, log22139_in_a(T2867))
LOG22320_IN_A(T2867) → LOG22139_IN_A(T2867)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_GA(T2835, log22320_in_a(T2835))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → LOG22320_IN_A(T2835)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_GA(T2894, log22390_in_a(T2894))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T2894) → LOG22390_IN_A(T2894)
LOG22390_IN_A(T2915) → U108_A(T2915, log22176_in_a(T2915))
LOG22390_IN_A(T2915) → LOG22176_IN_A(T2915)
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_GA(T2894, log22390_in_a(T2894))
LOG2107_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → LOG22390_IN_A(T2894)
LOG2107_IN_GA(s(s(s(s(s(s(0)))))), T2934) → U117_GA(T2934, log22441_in_a(T2934))
LOG2107_IN_GA(s(s(s(s(s(s(0)))))), T2934) → LOG22441_IN_A(T2934)
LOG22441_IN_A(T2955) → U109_A(T2955, log22176_in_a(T2955))
LOG22441_IN_A(T2955) → LOG22176_IN_A(T2955)
LOG2107_IN_GA(s(s(s(s(s(s(s(0))))))), T2934) → U118_GA(T2934, log22441_in_a(T2934))
LOG2107_IN_GA(s(s(s(s(s(s(s(0))))))), T2934) → LOG22441_IN_A(T2934)
LOG2107_IN_GA(s(s(s(s(0)))), T2972) → U119_GA(T2972, log22496_in_a(T2972))
LOG2107_IN_GA(s(s(s(s(0)))), T2972) → LOG22496_IN_A(T2972)
LOG2107_IN_GA(s(s(s(s(s(0))))), T2972) → U120_GA(T2972, log22496_in_a(T2972))
LOG2107_IN_GA(s(s(s(s(s(0))))), T2972) → LOG22496_IN_A(T2972)
LOG2107_IN_GA(s(s(0)), T2988) → U121_GA(T2988, log22533_in_a(T2988))
LOG2107_IN_GA(s(s(0)), T2988) → LOG22533_IN_A(T2988)
LOG2107_IN_GA(s(s(s(0))), T2988) → U122_GA(T2988, log22533_in_a(T2988))
LOG2107_IN_GA(s(s(s(0))), T2988) → LOG22533_IN_A(T2988)
LOG294_IN_GGA(s(0), s(T282), T284) → U6_GGA(T282, T284, log2107_in_ga(T282, T284))
LOG294_IN_GGA(s(0), s(T282), T284) → LOG2107_IN_GA(T282, T284)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_GA(T3018, log22611_in_a(T3018))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → LOG22611_IN_A(T3018)
LOG22611_IN_A(T3050) → U123_A(T3050, log22496_in_a(T3050))
LOG22611_IN_A(T3050) → LOG22496_IN_A(T3050)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_GA(T3018, log22611_in_a(T3018))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → LOG22611_IN_A(T3018)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_GA(T3077, log22677_in_a(T3077))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → LOG22677_IN_A(T3077)
LOG22677_IN_A(T3109) → U124_A(T3109, log22496_in_a(T3109))
LOG22677_IN_A(T3109) → LOG22496_IN_A(T3109)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_GA(T3077, log22677_in_a(T3077))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → LOG22677_IN_A(T3077)
LOG257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_GA(T3136, log22747_in_a(T3136))
LOG257_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3136) → LOG22747_IN_A(T3136)
LOG22747_IN_A(T3157) → U125_A(T3157, log22533_in_a(T3157))
LOG22747_IN_A(T3157) → LOG22533_IN_A(T3157)
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_GA(T3136, log22747_in_a(T3136))
LOG257_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → LOG22747_IN_A(T3136)
LOG257_IN_GA(s(s(s(s(s(s(0)))))), T3176) → U134_GA(T3176, log22798_in_a(T3176))
LOG257_IN_GA(s(s(s(s(s(s(0)))))), T3176) → LOG22798_IN_A(T3176)
LOG22798_IN_A(T3197) → U126_A(T3197, log22533_in_a(T3197))
LOG22798_IN_A(T3197) → LOG22533_IN_A(T3197)
LOG257_IN_GA(s(s(s(s(s(s(s(0))))))), T3176) → U135_GA(T3176, log22798_in_a(T3176))
LOG257_IN_GA(s(s(s(s(s(s(s(0))))))), T3176) → LOG22798_IN_A(T3176)
LOG257_IN_GA(s(s(s(s(0)))), T3214) → U136_GA(T3214, log22853_in_a(T3214))
LOG257_IN_GA(s(s(s(s(0)))), T3214) → LOG22853_IN_A(T3214)
LOG257_IN_GA(s(s(s(s(s(0))))), T3214) → U137_GA(T3214, log22853_in_a(T3214))
LOG257_IN_GA(s(s(s(s(s(0))))), T3214) → LOG22853_IN_A(T3214)
LOG257_IN_GA(s(s(0)), T3230) → U138_GA(T3230, log22890_in_a(T3230))
LOG257_IN_GA(s(s(0)), T3230) → LOG22890_IN_A(T3230)
LOG257_IN_GA(s(s(s(0))), T3230) → U139_GA(T3230, log22890_in_a(T3230))
LOG257_IN_GA(s(s(s(0))), T3230) → LOG22890_IN_A(T3230)
LOG244_IN_GGA(s(0), s(T148), T150) → U3_GGA(T148, T150, log257_in_ga(T148, T150))
LOG244_IN_GGA(s(0), s(T148), T150) → LOG257_IN_GA(T148, T150)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_GA(T3260, log22968_in_a(T3260))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → LOG22968_IN_A(T3260)
LOG22968_IN_A(T3292) → U140_A(T3292, log22853_in_a(T3292))
LOG22968_IN_A(T3292) → LOG22853_IN_A(T3292)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_GA(T3260, log22968_in_a(T3260))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → LOG22968_IN_A(T3260)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_GA(T3319, log23034_in_a(T3319))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → LOG23034_IN_A(T3319)
LOG23034_IN_A(T3351) → U141_A(T3351, log22853_in_a(T3351))
LOG23034_IN_A(T3351) → LOG22853_IN_A(T3351)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_GA(T3319, log23034_in_a(T3319))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → LOG23034_IN_A(T3319)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_GA(T3378, log23104_in_a(T3378))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → LOG23104_IN_A(T3378)
LOG23104_IN_A(T3399) → U142_A(T3399, log22890_in_a(T3399))
LOG23104_IN_A(T3399) → LOG22890_IN_A(T3399)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_GA(T3378, log23104_in_a(T3378))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → LOG23104_IN_A(T3378)
LOG21_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_GA(T3418, log23155_in_a(T3418))
LOG21_IN_GA(s(s(s(s(s(s(s(s(0)))))))), T3418) → LOG23155_IN_A(T3418)
LOG23155_IN_A(T3439) → U143_A(T3439, log22890_in_a(T3439))
LOG23155_IN_A(T3439) → LOG22890_IN_A(T3439)
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_GA(T3418, log23155_in_a(T3418))
LOG21_IN_GA(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → LOG23155_IN_A(T3418)
LOG21_IN_GA(s(s(s(s(s(s(0)))))), T3456) → U157_GA(T3456, log23210_in_a(T3456))
LOG21_IN_GA(s(s(s(s(s(s(0)))))), T3456) → LOG23210_IN_A(T3456)
LOG21_IN_GA(s(s(s(s(s(s(s(0))))))), T3456) → U158_GA(T3456, log23210_in_a(T3456))
LOG21_IN_GA(s(s(s(s(s(s(s(0))))))), T3456) → LOG23210_IN_A(T3456)
LOG21_IN_GA(s(s(s(s(0)))), T3472) → U159_GA(T3472, log23247_in_a(T3472))
LOG21_IN_GA(s(s(s(s(0)))), T3472) → LOG23247_IN_A(T3472)
LOG21_IN_GA(s(s(s(s(s(0))))), T3472) → U160_GA(T3472, log23247_in_a(T3472))
LOG21_IN_GA(s(s(s(s(s(0))))), T3472) → LOG23247_IN_A(T3472)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG21_IN_GA(x1, x2)  =  LOG21_IN_GA(x1)
U148_GA(x1, x2, x3)  =  U148_GA(x3)
LOG244_IN_GGA(x1, x2, x3)  =  LOG244_IN_GGA(x1, x2)
U1_GGA(x1, x2, x3, x4)  =  U1_GGA(x4)
U2_GGA(x1, x2, x3)  =  U2_GGA(x3)
LOG257_IN_GA(x1, x2)  =  LOG257_IN_GA(x1)
U127_GA(x1, x2, x3)  =  U127_GA(x3)
LOG294_IN_GGA(x1, x2, x3)  =  LOG294_IN_GGA(x1, x2)
U4_GGA(x1, x2, x3, x4)  =  U4_GGA(x4)
U5_GGA(x1, x2, x3)  =  U5_GGA(x3)
LOG2107_IN_GA(x1, x2)  =  LOG2107_IN_GA(x1)
U110_GA(x1, x2, x3)  =  U110_GA(x3)
LOG2144_IN_GGA(x1, x2, x3)  =  LOG2144_IN_GGA(x1, x2)
U7_GGA(x1, x2, x3, x4)  =  U7_GGA(x4)
U8_GGA(x1, x2, x3)  =  U8_GGA(x3)
LOG2157_IN_GA(x1, x2)  =  LOG2157_IN_GA(x1)
U93_GA(x1, x2, x3)  =  U93_GA(x3)
LOG2194_IN_GGA(x1, x2, x3)  =  LOG2194_IN_GGA(x1, x2)
U10_GGA(x1, x2, x3, x4)  =  U10_GGA(x4)
U11_GGA(x1, x2, x3)  =  U11_GGA(x3)
LOG2207_IN_GA(x1, x2)  =  LOG2207_IN_GA(x1)
U76_GA(x1, x2, x3)  =  U76_GA(x3)
LOG2244_IN_GGA(x1, x2, x3)  =  LOG2244_IN_GGA(x1, x2)
U13_GGA(x1, x2, x3, x4)  =  U13_GGA(x4)
U14_GGA(x1, x2, x3)  =  U14_GGA(x3)
LOG2257_IN_GA(x1, x2)  =  LOG2257_IN_GA(x1)
U59_GA(x1, x2, x3)  =  U59_GA(x3)
LOG2294_IN_GGA(x1, x2, x3)  =  LOG2294_IN_GGA(x1, x2)
U16_GGA(x1, x2, x3, x4)  =  U16_GGA(x4)
U17_GGA(x1, x2, x3)  =  U17_GGA(x3)
LOG2307_IN_GA(x1, x2)  =  LOG2307_IN_GA(x1)
U42_GA(x1, x2, x3)  =  U42_GA(x3)
LOG2344_IN_GGA(x1, x2, x3)  =  LOG2344_IN_GGA(x1, x2)
U19_GGA(x1, x2, x3, x4)  =  U19_GGA(x4)
U20_GGA(x1, x2, x3)  =  U20_GGA(x3)
LOG2359_IN_GGA(x1, x2, x3)  =  LOG2359_IN_GGA(x1, x2)
U25_GGA(x1, x2, x3, x4)  =  U25_GGA(x4)
LOG2395_IN_GGGA(x1, x2, x3, x4)  =  LOG2395_IN_GGGA(x1, x2, x3)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x5)
U23_GGGA(x1, x2, x3, x4)  =  U23_GGGA(x4)
U26_GGA(x1, x2, x3)  =  U26_GGA(x3)
LOG2437_IN_GA(x1, x2)  =  LOG2437_IN_GA(x1)
U38_GA(x1, x2, x3)  =  U38_GA(x3)
LOG2454_IN_GA(x1, x2)  =  LOG2454_IN_GA(x1)
U27_GGA(x1, x2, x3)  =  U27_GGA(x3)
U28_GGA(x1, x2, x3)  =  U28_GGA(x3)
LOG2515_IN_GA(x1, x2)  =  LOG2515_IN_GA(x1)
U39_GA(x1, x2, x3)  =  U39_GA(x3)
U29_GGA(x1, x2, x3)  =  U29_GGA(x3)
U30_GGA(x1, x2, x3)  =  U30_GGA(x3)
LOG2585_IN_GA(x1, x2)  =  LOG2585_IN_GA(x1)
U40_GA(x1, x2, x3)  =  U40_GA(x3)
LOG2598_IN_GA(x1, x2)  =  LOG2598_IN_GA(x1)
U31_GGA(x1, x2, x3)  =  U31_GGA(x3)
U32_GGA(x1, x2, x3)  =  U32_GGA(x3)
LOG2650_IN_GA(x1, x2)  =  LOG2650_IN_GA(x1)
U41_GA(x1, x2, x3)  =  U41_GA(x3)
U33_GGA(x1, x2, x3)  =  U33_GGA(x3)
U34_GGA(x1, x2, x3)  =  U34_GGA(x3)
LOG2705_IN_GA(x1, x2)  =  LOG2705_IN_GA(x1)
U35_GGA(x1, x2, x3)  =  U35_GGA(x3)
U36_GGA(x1, x2, x3)  =  U36_GGA(x3)
LOG2742_IN_GA(x1, x2)  =  LOG2742_IN_GA(x1)
U37_GGA(x1, x2, x3)  =  U37_GGA(x3)
U24_GGGA(x1, x2, x3, x4)  =  U24_GGGA(x4)
U21_GGA(x1, x2, x3)  =  U21_GGA(x3)
U43_GA(x1, x2)  =  U43_GA(x2)
LOG2822_IN_GA(x1, x2)  =  LOG2822_IN_GA(x1)
U144_GA(x1, x2, x3)  =  U144_GA(x3)
U44_GA(x1, x2)  =  U44_GA(x2)
U45_GA(x1, x2)  =  U45_GA(x2)
LOG2889_IN_GA(x1, x2)  =  LOG2889_IN_GA(x1)
U145_GA(x1, x2, x3)  =  U145_GA(x3)
U46_GA(x1, x2)  =  U46_GA(x2)
U47_GA(x1, x2)  =  U47_GA(x2)
LOG2960_IN_GA(x1, x2)  =  LOG2960_IN_GA(x1)
U146_GA(x1, x2, x3)  =  U146_GA(x3)
U48_GA(x1, x2)  =  U48_GA(x2)
U49_GA(x1, x2)  =  U49_GA(x2)
LOG21012_IN_GA(x1, x2)  =  LOG21012_IN_GA(x1)
U147_GA(x1, x2, x3)  =  U147_GA(x3)
U50_GA(x1, x2)  =  U50_GA(x2)
U51_GA(x1, x2)  =  U51_GA(x2)
LOG21068_IN_GA(x1, x2)  =  LOG21068_IN_GA(x1)
U52_GA(x1, x2)  =  U52_GA(x2)
U53_GA(x1, x2)  =  U53_GA(x2)
LOG21106_IN_GA(x1, x2)  =  LOG21106_IN_GA(x1)
U54_GA(x1, x2)  =  U54_GA(x2)
U18_GGA(x1, x2, x3)  =  U18_GGA(x3)
U60_GA(x1, x2)  =  U60_GA(x2)
LOG21183_IN_A(x1)  =  LOG21183_IN_A
U55_A(x1, x2)  =  U55_A(x2)
U61_GA(x1, x2)  =  U61_GA(x2)
U62_GA(x1, x2)  =  U62_GA(x2)
LOG21249_IN_A(x1)  =  LOG21249_IN_A
U56_A(x1, x2)  =  U56_A(x2)
U63_GA(x1, x2)  =  U63_GA(x2)
U64_GA(x1, x2)  =  U64_GA(x2)
LOG21319_IN_A(x1)  =  LOG21319_IN_A
U57_A(x1, x2)  =  U57_A(x2)
U65_GA(x1, x2)  =  U65_GA(x2)
U66_GA(x1, x2)  =  U66_GA(x2)
LOG21370_IN_A(x1)  =  LOG21370_IN_A
U58_A(x1, x2)  =  U58_A(x2)
U67_GA(x1, x2)  =  U67_GA(x2)
U68_GA(x1, x2)  =  U68_GA(x2)
LOG21425_IN_A(x1)  =  LOG21425_IN_A
U69_GA(x1, x2)  =  U69_GA(x2)
U70_GA(x1, x2)  =  U70_GA(x2)
LOG21462_IN_A(x1)  =  LOG21462_IN_A
U71_GA(x1, x2)  =  U71_GA(x2)
U15_GGA(x1, x2, x3)  =  U15_GGA(x3)
U77_GA(x1, x2)  =  U77_GA(x2)
LOG21540_IN_A(x1)  =  LOG21540_IN_A
U72_A(x1, x2)  =  U72_A(x2)
U78_GA(x1, x2)  =  U78_GA(x2)
U79_GA(x1, x2)  =  U79_GA(x2)
LOG21606_IN_A(x1)  =  LOG21606_IN_A
U73_A(x1, x2)  =  U73_A(x2)
U80_GA(x1, x2)  =  U80_GA(x2)
U81_GA(x1, x2)  =  U81_GA(x2)
LOG21676_IN_A(x1)  =  LOG21676_IN_A
U74_A(x1, x2)  =  U74_A(x2)
U82_GA(x1, x2)  =  U82_GA(x2)
U83_GA(x1, x2)  =  U83_GA(x2)
LOG21727_IN_A(x1)  =  LOG21727_IN_A
U75_A(x1, x2)  =  U75_A(x2)
U84_GA(x1, x2)  =  U84_GA(x2)
U85_GA(x1, x2)  =  U85_GA(x2)
LOG21782_IN_A(x1)  =  LOG21782_IN_A
U86_GA(x1, x2)  =  U86_GA(x2)
U87_GA(x1, x2)  =  U87_GA(x2)
LOG21819_IN_A(x1)  =  LOG21819_IN_A
U88_GA(x1, x2)  =  U88_GA(x2)
U12_GGA(x1, x2, x3)  =  U12_GGA(x3)
U94_GA(x1, x2)  =  U94_GA(x2)
LOG21897_IN_A(x1)  =  LOG21897_IN_A
U89_A(x1, x2)  =  U89_A(x2)
U95_GA(x1, x2)  =  U95_GA(x2)
U96_GA(x1, x2)  =  U96_GA(x2)
LOG21963_IN_A(x1)  =  LOG21963_IN_A
U90_A(x1, x2)  =  U90_A(x2)
U97_GA(x1, x2)  =  U97_GA(x2)
U98_GA(x1, x2)  =  U98_GA(x2)
LOG22033_IN_A(x1)  =  LOG22033_IN_A
U91_A(x1, x2)  =  U91_A(x2)
U99_GA(x1, x2)  =  U99_GA(x2)
U100_GA(x1, x2)  =  U100_GA(x2)
LOG22084_IN_A(x1)  =  LOG22084_IN_A
U92_A(x1, x2)  =  U92_A(x2)
U101_GA(x1, x2)  =  U101_GA(x2)
U102_GA(x1, x2)  =  U102_GA(x2)
LOG22139_IN_A(x1)  =  LOG22139_IN_A
U103_GA(x1, x2)  =  U103_GA(x2)
U104_GA(x1, x2)  =  U104_GA(x2)
LOG22176_IN_A(x1)  =  LOG22176_IN_A
U105_GA(x1, x2)  =  U105_GA(x2)
U9_GGA(x1, x2, x3)  =  U9_GGA(x3)
U111_GA(x1, x2)  =  U111_GA(x2)
LOG22254_IN_A(x1)  =  LOG22254_IN_A
U106_A(x1, x2)  =  U106_A(x2)
U112_GA(x1, x2)  =  U112_GA(x2)
U113_GA(x1, x2)  =  U113_GA(x2)
LOG22320_IN_A(x1)  =  LOG22320_IN_A
U107_A(x1, x2)  =  U107_A(x2)
U114_GA(x1, x2)  =  U114_GA(x2)
U115_GA(x1, x2)  =  U115_GA(x2)
LOG22390_IN_A(x1)  =  LOG22390_IN_A
U108_A(x1, x2)  =  U108_A(x2)
U116_GA(x1, x2)  =  U116_GA(x2)
U117_GA(x1, x2)  =  U117_GA(x2)
LOG22441_IN_A(x1)  =  LOG22441_IN_A
U109_A(x1, x2)  =  U109_A(x2)
U118_GA(x1, x2)  =  U118_GA(x2)
U119_GA(x1, x2)  =  U119_GA(x2)
LOG22496_IN_A(x1)  =  LOG22496_IN_A
U120_GA(x1, x2)  =  U120_GA(x2)
U121_GA(x1, x2)  =  U121_GA(x2)
LOG22533_IN_A(x1)  =  LOG22533_IN_A
U122_GA(x1, x2)  =  U122_GA(x2)
U6_GGA(x1, x2, x3)  =  U6_GGA(x3)
U128_GA(x1, x2)  =  U128_GA(x2)
LOG22611_IN_A(x1)  =  LOG22611_IN_A
U123_A(x1, x2)  =  U123_A(x2)
U129_GA(x1, x2)  =  U129_GA(x2)
U130_GA(x1, x2)  =  U130_GA(x2)
LOG22677_IN_A(x1)  =  LOG22677_IN_A
U124_A(x1, x2)  =  U124_A(x2)
U131_GA(x1, x2)  =  U131_GA(x2)
U132_GA(x1, x2)  =  U132_GA(x2)
LOG22747_IN_A(x1)  =  LOG22747_IN_A
U125_A(x1, x2)  =  U125_A(x2)
U133_GA(x1, x2)  =  U133_GA(x2)
U134_GA(x1, x2)  =  U134_GA(x2)
LOG22798_IN_A(x1)  =  LOG22798_IN_A
U126_A(x1, x2)  =  U126_A(x2)
U135_GA(x1, x2)  =  U135_GA(x2)
U136_GA(x1, x2)  =  U136_GA(x2)
LOG22853_IN_A(x1)  =  LOG22853_IN_A
U137_GA(x1, x2)  =  U137_GA(x2)
U138_GA(x1, x2)  =  U138_GA(x2)
LOG22890_IN_A(x1)  =  LOG22890_IN_A
U139_GA(x1, x2)  =  U139_GA(x2)
U3_GGA(x1, x2, x3)  =  U3_GGA(x3)
U149_GA(x1, x2)  =  U149_GA(x2)
LOG22968_IN_A(x1)  =  LOG22968_IN_A
U140_A(x1, x2)  =  U140_A(x2)
U150_GA(x1, x2)  =  U150_GA(x2)
U151_GA(x1, x2)  =  U151_GA(x2)
LOG23034_IN_A(x1)  =  LOG23034_IN_A
U141_A(x1, x2)  =  U141_A(x2)
U152_GA(x1, x2)  =  U152_GA(x2)
U153_GA(x1, x2)  =  U153_GA(x2)
LOG23104_IN_A(x1)  =  LOG23104_IN_A
U142_A(x1, x2)  =  U142_A(x2)
U154_GA(x1, x2)  =  U154_GA(x2)
U155_GA(x1, x2)  =  U155_GA(x2)
LOG23155_IN_A(x1)  =  LOG23155_IN_A
U143_A(x1, x2)  =  U143_A(x2)
U156_GA(x1, x2)  =  U156_GA(x2)
U157_GA(x1, x2)  =  U157_GA(x2)
LOG23210_IN_A(x1)  =  LOG23210_IN_A
U158_GA(x1, x2)  =  U158_GA(x2)
U159_GA(x1, x2)  =  U159_GA(x2)
LOG23247_IN_A(x1)  =  LOG23247_IN_A
U160_GA(x1, x2)  =  U160_GA(x2)

We have to consider all (P,R,Pi)-chains

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 8 SCCs with 309 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → LOG2395_IN_GGGA(T1117, s(T1118), T1119, T1121)
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2359_IN_GGA(x1, x2, x3)  =  LOG2359_IN_GGA(x1, x2)
LOG2395_IN_GGGA(x1, x2, x3, x4)  =  LOG2395_IN_GGGA(x1, x2, x3)

We have to consider all (P,R,Pi)-chains

(10) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(11) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119, T1121) → LOG2395_IN_GGGA(T1117, s(T1118), T1119, T1121)
LOG2395_IN_GGGA(0, s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)
LOG2395_IN_GGGA(s(0), s(T1143), T1144, T1146) → LOG2359_IN_GGA(T1143, s(T1144), T1146)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
0  =  0
LOG2359_IN_GGA(x1, x2, x3)  =  LOG2359_IN_GGA(x1, x2)
LOG2395_IN_GGGA(x1, x2, x3, x4)  =  LOG2395_IN_GGGA(x1, x2, x3)

We have to consider all (P,R,Pi)-chains

(12) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(13) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119) → LOG2395_IN_GGGA(T1117, s(T1118), T1119)
LOG2395_IN_GGGA(0, s(T1143), T1144) → LOG2359_IN_GGA(T1143, s(T1144))
LOG2395_IN_GGGA(s(0), s(T1143), T1144) → LOG2359_IN_GGA(T1143, s(T1144))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(14) MRRProof (EQUIVALENT transformation)

By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
Strictly oriented dependency pairs:

LOG2359_IN_GGA(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090) → LOG2395_IN_GGGA(T1089, s(s(s(s(s(s(s(0))))))), T1090)
LOG2395_IN_GGGA(s(s(T1117)), T1118, T1119) → LOG2395_IN_GGGA(T1117, s(T1118), T1119)
LOG2395_IN_GGGA(0, s(T1143), T1144) → LOG2359_IN_GGA(T1143, s(T1144))
LOG2395_IN_GGGA(s(0), s(T1143), T1144) → LOG2359_IN_GGA(T1143, s(T1144))


Used ordering: Polynomial interpretation [POLO]:

POL(0) = 0   
POL(LOG2359_IN_GGA(x1, x2)) = x1 + x2   
POL(LOG2395_IN_GGGA(x1, x2, x3)) = 1 + x1 + x2 + x3   
POL(s(x1)) = 1 + x1   

(15) Obligation:

Q DP problem:
P is empty.
R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(16) PisEmptyProof (EQUIVALENT transformation)

The TRS P is empty. Hence, there is no (P,Q,R) chain.

(17) YES

(18) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2344_IN_GGA(s(s(T932)), T933, T935) → LOG2344_IN_GGA(T932, s(T933), T935)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2344_IN_GGA(x1, x2, x3)  =  LOG2344_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(19) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(20) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2344_IN_GGA(s(s(T932)), T933, T935) → LOG2344_IN_GGA(T932, s(T933), T935)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG2344_IN_GGA(x1, x2, x3)  =  LOG2344_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(21) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(22) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2344_IN_GGA(s(s(T932)), T933) → LOG2344_IN_GGA(T932, s(T933))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(23) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG2344_IN_GGA(s(s(T932)), T933) → LOG2344_IN_GGA(T932, s(T933))
    The graph contains the following edges 1 > 1

(24) YES

(25) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2294_IN_GGA(s(s(T798)), T799, T801) → LOG2294_IN_GGA(T798, s(T799), T801)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2294_IN_GGA(x1, x2, x3)  =  LOG2294_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(26) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(27) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2294_IN_GGA(s(s(T798)), T799, T801) → LOG2294_IN_GGA(T798, s(T799), T801)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG2294_IN_GGA(x1, x2, x3)  =  LOG2294_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(28) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(29) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2294_IN_GGA(s(s(T798)), T799) → LOG2294_IN_GGA(T798, s(T799))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(30) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG2294_IN_GGA(s(s(T798)), T799) → LOG2294_IN_GGA(T798, s(T799))
    The graph contains the following edges 1 > 1

(31) YES

(32) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2244_IN_GGA(s(s(T664)), T665, T667) → LOG2244_IN_GGA(T664, s(T665), T667)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2244_IN_GGA(x1, x2, x3)  =  LOG2244_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(33) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(34) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2244_IN_GGA(s(s(T664)), T665, T667) → LOG2244_IN_GGA(T664, s(T665), T667)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG2244_IN_GGA(x1, x2, x3)  =  LOG2244_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(35) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(36) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2244_IN_GGA(s(s(T664)), T665) → LOG2244_IN_GGA(T664, s(T665))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(37) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG2244_IN_GGA(s(s(T664)), T665) → LOG2244_IN_GGA(T664, s(T665))
    The graph contains the following edges 1 > 1

(38) YES

(39) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2194_IN_GGA(s(s(T530)), T531, T533) → LOG2194_IN_GGA(T530, s(T531), T533)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2194_IN_GGA(x1, x2, x3)  =  LOG2194_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(40) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(41) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2194_IN_GGA(s(s(T530)), T531, T533) → LOG2194_IN_GGA(T530, s(T531), T533)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG2194_IN_GGA(x1, x2, x3)  =  LOG2194_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(42) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(43) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2194_IN_GGA(s(s(T530)), T531) → LOG2194_IN_GGA(T530, s(T531))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(44) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG2194_IN_GGA(s(s(T530)), T531) → LOG2194_IN_GGA(T530, s(T531))
    The graph contains the following edges 1 > 1

(45) YES

(46) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2144_IN_GGA(s(s(T396)), T397, T399) → LOG2144_IN_GGA(T396, s(T397), T399)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG2144_IN_GGA(x1, x2, x3)  =  LOG2144_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(47) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(48) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG2144_IN_GGA(s(s(T396)), T397, T399) → LOG2144_IN_GGA(T396, s(T397), T399)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG2144_IN_GGA(x1, x2, x3)  =  LOG2144_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(49) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(50) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG2144_IN_GGA(s(s(T396)), T397) → LOG2144_IN_GGA(T396, s(T397))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(51) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG2144_IN_GGA(s(s(T396)), T397) → LOG2144_IN_GGA(T396, s(T397))
    The graph contains the following edges 1 > 1

(52) YES

(53) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG294_IN_GGA(s(s(T262)), T263, T265) → LOG294_IN_GGA(T262, s(T263), T265)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG294_IN_GGA(x1, x2, x3)  =  LOG294_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(54) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(55) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG294_IN_GGA(s(s(T262)), T263, T265) → LOG294_IN_GGA(T262, s(T263), T265)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG294_IN_GGA(x1, x2, x3)  =  LOG294_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(56) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(57) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG294_IN_GGA(s(s(T262)), T263) → LOG294_IN_GGA(T262, s(T263))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(58) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG294_IN_GGA(s(s(T262)), T263) → LOG294_IN_GGA(T262, s(T263))
    The graph contains the following edges 1 > 1

(59) YES

(60) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG244_IN_GGA(s(s(T128)), T129, T131) → LOG244_IN_GGA(T128, s(T129), T131)

The TRS R consists of the following rules:

log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109) → U148_ga(T107, T109, log244_in_gga(T107, s(s(s(s(s(s(s(0))))))), T109))
log244_in_gga(s(s(T128)), T129, T131) → U1_gga(T128, T129, T131, log244_in_gga(T128, s(T129), T131))
log244_in_gga(0, s(T148), T150) → U2_gga(T148, T150, log257_in_ga(T148, T150))
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243) → U127_ga(T241, T243, log294_in_gga(T241, s(s(s(s(s(s(s(0))))))), T243))
log294_in_gga(s(s(T262)), T263, T265) → U4_gga(T262, T263, T265, log294_in_gga(T262, s(T263), T265))
log294_in_gga(0, s(T282), T284) → U5_gga(T282, T284, log2107_in_ga(T282, T284))
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377) → U110_ga(T375, T377, log2144_in_gga(T375, s(s(s(s(s(s(s(0))))))), T377))
log2144_in_gga(s(s(T396)), T397, T399) → U7_gga(T396, T397, T399, log2144_in_gga(T396, s(T397), T399))
log2144_in_gga(0, s(T416), T418) → U8_gga(T416, T418, log2157_in_ga(T416, T418))
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511) → U93_ga(T509, T511, log2194_in_gga(T509, s(s(s(s(s(s(s(0))))))), T511))
log2194_in_gga(s(s(T530)), T531, T533) → U10_gga(T530, T531, T533, log2194_in_gga(T530, s(T531), T533))
log2194_in_gga(0, s(T550), T552) → U11_gga(T550, T552, log2207_in_ga(T550, T552))
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645) → U76_ga(T643, T645, log2244_in_gga(T643, s(s(s(s(s(s(s(0))))))), T645))
log2244_in_gga(s(s(T664)), T665, T667) → U13_gga(T664, T665, T667, log2244_in_gga(T664, s(T665), T667))
log2244_in_gga(0, s(T684), T686) → U14_gga(T684, T686, log2257_in_ga(T684, T686))
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779) → U59_ga(T777, T779, log2294_in_gga(T777, s(s(s(s(s(s(s(0))))))), T779))
log2294_in_gga(s(s(T798)), T799, T801) → U16_gga(T798, T799, T801, log2294_in_gga(T798, s(T799), T801))
log2294_in_gga(0, s(T818), T820) → U17_gga(T818, T820, log2307_in_ga(T818, T820))
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913) → U42_ga(T911, T913, log2344_in_gga(T911, s(s(s(s(s(s(s(0))))))), T913))
log2344_in_gga(s(s(T932)), T933, T935) → U19_gga(T932, T933, T935, log2344_in_gga(T932, s(T933), T935))
log2344_in_gga(0, s(T952), T954) → U20_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092) → U25_gga(T1089, T1090, T1092, log2395_in_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092))
log2395_in_ggga(s(s(T1117)), T1118, T1119, T1121) → U22_ggga(T1117, T1118, T1119, T1121, log2395_in_ggga(T1117, s(T1118), T1119, T1121))
log2395_in_ggga(0, s(T1143), T1144, T1146) → U23_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186) → U26_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
log2437_in_ga(T1241, T1243) → U38_ga(T1241, T1243, log2454_in_ga(T1241, T1243))
log2454_in_ga(T1249, s(s(s(T1249)))) → log2454_out_ga(T1249, s(s(s(T1249))))
U38_ga(T1241, T1243, log2454_out_ga(T1241, T1243)) → log2437_out_ga(T1241, T1243)
U26_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186) → U27_gga(T1184, T1186, log2437_in_ga(T1184, T1186))
U27_gga(T1184, T1186, log2437_out_ga(T1184, T1186)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1184, T1186)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304) → U28_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
log2515_in_ga(T1359, T1361) → U39_ga(T1359, T1361, log2454_in_ga(T1359, T1361))
U39_ga(T1359, T1361, log2454_out_ga(T1359, T1361)) → log2515_out_ga(T1359, T1361)
U28_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304) → U29_gga(T1302, T1304, log2515_in_ga(T1302, T1304))
U29_gga(T1302, T1304, log2515_out_ga(T1302, T1304)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1302, T1304)
log2359_in_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420) → U30_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
log2585_in_ga(T1456, T1458) → U40_ga(T1456, T1458, log2598_in_ga(T1456, T1458))
log2598_in_ga(T1464, s(s(s(T1464)))) → log2598_out_ga(T1464, s(s(s(T1464))))
U40_ga(T1456, T1458, log2598_out_ga(T1456, T1458)) → log2585_out_ga(T1456, T1458)
U30_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(0)))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420) → U31_gga(T1418, T1420, log2585_in_ga(T1418, T1420))
U31_gga(T1418, T1420, log2585_out_ga(T1418, T1420)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(0))))))))), T1418, T1420)
log2359_in_gga(s(s(s(s(s(s(0)))))), T1498, T1500) → U32_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
log2650_in_ga(T1536, T1538) → U41_ga(T1536, T1538, log2598_in_ga(T1536, T1538))
U41_ga(T1536, T1538, log2598_out_ga(T1536, T1538)) → log2650_out_ga(T1536, T1538)
U32_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(0)))))), T1498, T1500)
log2359_in_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500) → U33_gga(T1498, T1500, log2650_in_ga(T1498, T1500))
U33_gga(T1498, T1500, log2650_out_ga(T1498, T1500)) → log2359_out_gga(s(s(s(s(s(s(s(0))))))), T1498, T1500)
log2359_in_gga(s(s(s(s(0)))), T1574, T1576) → U34_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
log2705_in_ga(T1581, s(s(T1581))) → log2705_out_ga(T1581, s(s(T1581)))
U34_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(0)))), T1574, T1576)
log2359_in_gga(s(s(s(s(s(0))))), T1574, T1576) → U35_gga(T1574, T1576, log2705_in_ga(T1574, T1576))
U35_gga(T1574, T1576, log2705_out_ga(T1574, T1576)) → log2359_out_gga(s(s(s(s(s(0))))), T1574, T1576)
log2359_in_gga(s(s(0)), T1606, T1608) → U36_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
log2742_in_ga(T1613, s(s(T1613))) → log2742_out_ga(T1613, s(s(T1613)))
U36_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(0)), T1606, T1608)
log2359_in_gga(s(s(s(0))), T1606, T1608) → U37_gga(T1606, T1608, log2742_in_ga(T1606, T1608))
U37_gga(T1606, T1608, log2742_out_ga(T1606, T1608)) → log2359_out_gga(s(s(s(0))), T1606, T1608)
log2359_in_gga(0, T1627, s(T1627)) → log2359_out_gga(0, T1627, s(T1627))
log2359_in_gga(s(0), T1627, s(T1627)) → log2359_out_gga(s(0), T1627, s(T1627))
U23_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(0, s(T1143), T1144, T1146)
log2395_in_ggga(s(0), s(T1143), T1144, T1146) → U24_ggga(T1143, T1144, T1146, log2359_in_gga(T1143, s(T1144), T1146))
U24_ggga(T1143, T1144, T1146, log2359_out_gga(T1143, s(T1144), T1146)) → log2395_out_ggga(s(0), s(T1143), T1144, T1146)
log2395_in_ggga(0, 0, T1164, s(T1164)) → log2395_out_ggga(0, 0, T1164, s(T1164))
log2395_in_ggga(s(0), 0, T1164, s(T1164)) → log2395_out_ggga(s(0), 0, T1164, s(T1164))
U22_ggga(T1117, T1118, T1119, T1121, log2395_out_ggga(T1117, s(T1118), T1119, T1121)) → log2395_out_ggga(s(s(T1117)), T1118, T1119, T1121)
U25_gga(T1089, T1090, T1092, log2395_out_ggga(T1089, s(s(s(s(s(s(s(0))))))), T1090, T1092)) → log2359_out_gga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T1089)))))))))))))), T1090, T1092)
U20_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(0, s(T952), T954)
log2344_in_gga(s(0), s(T952), T954) → U21_gga(T952, T954, log2359_in_gga(T952, s(s(s(s(s(s(s(0))))))), T954))
U21_gga(T952, T954, log2359_out_gga(T952, s(s(s(s(s(s(s(0))))))), T954)) → log2344_out_gga(s(0), s(T952), T954)
log2344_in_gga(0, 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(0, 0, s(s(s(s(s(s(s(0))))))))
log2344_in_gga(s(0), 0, s(s(s(s(s(s(s(0)))))))) → log2344_out_gga(s(0), 0, s(s(s(s(s(s(s(0))))))))
U19_gga(T932, T933, T935, log2344_out_gga(T932, s(T933), T935)) → log2344_out_gga(s(s(T932)), T933, T935)
U42_ga(T911, T913, log2344_out_gga(T911, s(s(s(s(s(s(s(0))))))), T913)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T911)))))))))))))), T913)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650) → U43_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
log2822_in_ga(T1706, T1708) → U144_ga(T1706, T1708, log2705_in_ga(T1706, T1708))
U144_ga(T1706, T1708, log2705_out_ga(T1706, T1708)) → log2822_out_ga(T1706, T1708)
U43_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650) → U44_ga(T1650, log2822_in_ga(s(s(s(s(s(s(s(0))))))), T1650))
U44_ga(T1650, log2822_out_ga(s(s(s(s(s(s(s(0))))))), T1650)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T1650)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755) → U45_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
log2889_in_ga(T1811, T1813) → U145_ga(T1811, T1813, log2705_in_ga(T1811, T1813))
U145_ga(T1811, T1813, log2705_out_ga(T1811, T1813)) → log2889_out_ga(T1811, T1813)
U45_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755) → U46_ga(T1755, log2889_in_ga(s(s(s(s(s(s(s(0))))))), T1755))
U46_ga(T1755, log2889_out_ga(s(s(s(s(s(s(s(0))))))), T1755)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T1755)
log2307_in_ga(s(s(s(s(s(s(s(s(0)))))))), T1861) → U47_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
log2960_in_ga(T1898, T1900) → U146_ga(T1898, T1900, log2742_in_ga(T1898, T1900))
U146_ga(T1898, T1900, log2742_out_ga(T1898, T1900)) → log2960_out_ga(T1898, T1900)
U47_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(0)))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861) → U48_ga(T1861, log2960_in_ga(s(s(s(s(s(s(s(0))))))), T1861))
U48_ga(T1861, log2960_out_ga(s(s(s(s(s(s(s(0))))))), T1861)) → log2307_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T1861)
log2307_in_ga(s(s(s(s(s(s(0)))))), T1928) → U49_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
log21012_in_ga(T1965, T1967) → U147_ga(T1965, T1967, log2742_in_ga(T1965, T1967))
U147_ga(T1965, T1967, log2742_out_ga(T1965, T1967)) → log21012_out_ga(T1965, T1967)
U49_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(0)))))), T1928)
log2307_in_ga(s(s(s(s(s(s(s(0))))))), T1928) → U50_ga(T1928, log21012_in_ga(s(s(s(s(s(s(s(0))))))), T1928))
U50_ga(T1928, log21012_out_ga(s(s(s(s(s(s(s(0))))))), T1928)) → log2307_out_ga(s(s(s(s(s(s(s(0))))))), T1928)
log2307_in_ga(s(s(s(s(0)))), T1994) → U51_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
log21068_in_ga(T1999, s(T1999)) → log21068_out_ga(T1999, s(T1999))
U51_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(0)))), T1994)
log2307_in_ga(s(s(s(s(s(0))))), T1994) → U52_ga(T1994, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T1994))
U52_ga(T1994, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T1994)) → log2307_out_ga(s(s(s(s(s(0))))), T1994)
log2307_in_ga(s(s(0)), T2015) → U53_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
log21106_in_ga(T2020, s(T2020)) → log21106_out_ga(T2020, s(T2020))
U53_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(0)), T2015)
log2307_in_ga(s(s(s(0))), T2015) → U54_ga(T2015, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2015))
U54_ga(T2015, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2015)) → log2307_out_ga(s(s(s(0))), T2015)
log2307_in_ga(0, s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(0, s(s(s(s(s(s(s(0))))))))
log2307_in_ga(s(0), s(s(s(s(s(s(s(0)))))))) → log2307_out_ga(s(0), s(s(s(s(s(s(s(0))))))))
U17_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(0, s(T818), T820)
log2294_in_gga(s(0), s(T818), T820) → U18_gga(T818, T820, log2307_in_ga(T818, T820))
U18_gga(T818, T820, log2307_out_ga(T818, T820)) → log2294_out_gga(s(0), s(T818), T820)
log2294_in_gga(0, 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(0, 0, s(s(s(s(s(s(0)))))))
log2294_in_gga(s(0), 0, s(s(s(s(s(s(0))))))) → log2294_out_gga(s(0), 0, s(s(s(s(s(s(0)))))))
U16_gga(T798, T799, T801, log2294_out_gga(T798, s(T799), T801)) → log2294_out_gga(s(s(T798)), T799, T801)
U59_ga(T777, T779, log2294_out_gga(T777, s(s(s(s(s(s(s(0))))))), T779)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T777)))))))))))))), T779)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050) → U60_ga(T2050, log21183_in_a(T2050))
log21183_in_a(T2082) → U55_a(T2082, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2082))
U55_a(T2082, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2082)) → log21183_out_a(T2082)
U60_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050) → U61_ga(T2050, log21183_in_a(T2050))
U61_ga(T2050, log21183_out_a(T2050)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2050)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109) → U62_ga(T2109, log21249_in_a(T2109))
log21249_in_a(T2141) → U56_a(T2141, log21068_in_ga(s(s(s(s(s(s(s(0))))))), T2141))
U56_a(T2141, log21068_out_ga(s(s(s(s(s(s(s(0))))))), T2141)) → log21249_out_a(T2141)
U62_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109) → U63_ga(T2109, log21249_in_a(T2109))
U63_ga(T2109, log21249_out_a(T2109)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2109)
log2257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2168) → U64_ga(T2168, log21319_in_a(T2168))
log21319_in_a(T2189) → U57_a(T2189, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2189))
U57_a(T2189, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2189)) → log21319_out_a(T2189)
U64_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168) → U65_ga(T2168, log21319_in_a(T2168))
U65_ga(T2168, log21319_out_a(T2168)) → log2257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2168)
log2257_in_ga(s(s(s(s(s(s(0)))))), T2208) → U66_ga(T2208, log21370_in_a(T2208))
log21370_in_a(T2229) → U58_a(T2229, log21106_in_ga(s(s(s(s(s(s(s(0))))))), T2229))
U58_a(T2229, log21106_out_ga(s(s(s(s(s(s(s(0))))))), T2229)) → log21370_out_a(T2229)
U66_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(0)))))), T2208)
log2257_in_ga(s(s(s(s(s(s(s(0))))))), T2208) → U67_ga(T2208, log21370_in_a(T2208))
U67_ga(T2208, log21370_out_a(T2208)) → log2257_out_ga(s(s(s(s(s(s(s(0))))))), T2208)
log2257_in_ga(s(s(s(s(0)))), T2246) → U68_ga(T2246, log21425_in_a(T2246))
log21425_in_a(s(s(s(s(s(s(s(0)))))))) → log21425_out_a(s(s(s(s(s(s(s(0))))))))
U68_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(0)))), T2246)
log2257_in_ga(s(s(s(s(s(0))))), T2246) → U69_ga(T2246, log21425_in_a(T2246))
U69_ga(T2246, log21425_out_a(T2246)) → log2257_out_ga(s(s(s(s(s(0))))), T2246)
log2257_in_ga(s(s(0)), T2262) → U70_ga(T2262, log21462_in_a(T2262))
log21462_in_a(s(s(s(s(s(s(s(0)))))))) → log21462_out_a(s(s(s(s(s(s(s(0))))))))
U70_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(0)), T2262)
log2257_in_ga(s(s(s(0))), T2262) → U71_ga(T2262, log21462_in_a(T2262))
U71_ga(T2262, log21462_out_a(T2262)) → log2257_out_ga(s(s(s(0))), T2262)
log2257_in_ga(0, s(s(s(s(s(s(0))))))) → log2257_out_ga(0, s(s(s(s(s(s(0)))))))
log2257_in_ga(s(0), s(s(s(s(s(s(0))))))) → log2257_out_ga(s(0), s(s(s(s(s(s(0)))))))
U14_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(0, s(T684), T686)
log2244_in_gga(s(0), s(T684), T686) → U15_gga(T684, T686, log2257_in_ga(T684, T686))
U15_gga(T684, T686, log2257_out_ga(T684, T686)) → log2244_out_gga(s(0), s(T684), T686)
log2244_in_gga(0, 0, s(s(s(s(s(0)))))) → log2244_out_gga(0, 0, s(s(s(s(s(0))))))
log2244_in_gga(s(0), 0, s(s(s(s(s(0)))))) → log2244_out_gga(s(0), 0, s(s(s(s(s(0))))))
U13_gga(T664, T665, T667, log2244_out_gga(T664, s(T665), T667)) → log2244_out_gga(s(s(T664)), T665, T667)
U76_ga(T643, T645, log2244_out_gga(T643, s(s(s(s(s(s(s(0))))))), T645)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T643)))))))))))))), T645)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292) → U77_ga(T2292, log21540_in_a(T2292))
log21540_in_a(T2324) → U72_a(T2324, log21425_in_a(T2324))
U72_a(T2324, log21425_out_a(T2324)) → log21540_out_a(T2324)
U77_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292) → U78_ga(T2292, log21540_in_a(T2292))
U78_ga(T2292, log21540_out_a(T2292)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2292)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351) → U79_ga(T2351, log21606_in_a(T2351))
log21606_in_a(T2383) → U73_a(T2383, log21425_in_a(T2383))
U73_a(T2383, log21425_out_a(T2383)) → log21606_out_a(T2383)
U79_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351) → U80_ga(T2351, log21606_in_a(T2351))
U80_ga(T2351, log21606_out_a(T2351)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2351)
log2207_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2410) → U81_ga(T2410, log21676_in_a(T2410))
log21676_in_a(T2431) → U74_a(T2431, log21462_in_a(T2431))
U74_a(T2431, log21462_out_a(T2431)) → log21676_out_a(T2431)
U81_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410) → U82_ga(T2410, log21676_in_a(T2410))
U82_ga(T2410, log21676_out_a(T2410)) → log2207_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2410)
log2207_in_ga(s(s(s(s(s(s(0)))))), T2450) → U83_ga(T2450, log21727_in_a(T2450))
log21727_in_a(T2471) → U75_a(T2471, log21462_in_a(T2471))
U75_a(T2471, log21462_out_a(T2471)) → log21727_out_a(T2471)
U83_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(0)))))), T2450)
log2207_in_ga(s(s(s(s(s(s(s(0))))))), T2450) → U84_ga(T2450, log21727_in_a(T2450))
U84_ga(T2450, log21727_out_a(T2450)) → log2207_out_ga(s(s(s(s(s(s(s(0))))))), T2450)
log2207_in_ga(s(s(s(s(0)))), T2488) → U85_ga(T2488, log21782_in_a(T2488))
log21782_in_a(s(s(s(s(s(s(0))))))) → log21782_out_a(s(s(s(s(s(s(0)))))))
U85_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(0)))), T2488)
log2207_in_ga(s(s(s(s(s(0))))), T2488) → U86_ga(T2488, log21782_in_a(T2488))
U86_ga(T2488, log21782_out_a(T2488)) → log2207_out_ga(s(s(s(s(s(0))))), T2488)
log2207_in_ga(s(s(0)), T2504) → U87_ga(T2504, log21819_in_a(T2504))
log21819_in_a(s(s(s(s(s(s(0))))))) → log21819_out_a(s(s(s(s(s(s(0)))))))
U87_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(0)), T2504)
log2207_in_ga(s(s(s(0))), T2504) → U88_ga(T2504, log21819_in_a(T2504))
U88_ga(T2504, log21819_out_a(T2504)) → log2207_out_ga(s(s(s(0))), T2504)
log2207_in_ga(0, s(s(s(s(s(0)))))) → log2207_out_ga(0, s(s(s(s(s(0))))))
log2207_in_ga(s(0), s(s(s(s(s(0)))))) → log2207_out_ga(s(0), s(s(s(s(s(0))))))
U11_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(0, s(T550), T552)
log2194_in_gga(s(0), s(T550), T552) → U12_gga(T550, T552, log2207_in_ga(T550, T552))
U12_gga(T550, T552, log2207_out_ga(T550, T552)) → log2194_out_gga(s(0), s(T550), T552)
log2194_in_gga(0, 0, s(s(s(s(0))))) → log2194_out_gga(0, 0, s(s(s(s(0)))))
log2194_in_gga(s(0), 0, s(s(s(s(0))))) → log2194_out_gga(s(0), 0, s(s(s(s(0)))))
U10_gga(T530, T531, T533, log2194_out_gga(T530, s(T531), T533)) → log2194_out_gga(s(s(T530)), T531, T533)
U93_ga(T509, T511, log2194_out_gga(T509, s(s(s(s(s(s(s(0))))))), T511)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T509)))))))))))))), T511)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534) → U94_ga(T2534, log21897_in_a(T2534))
log21897_in_a(T2566) → U89_a(T2566, log21782_in_a(T2566))
U89_a(T2566, log21782_out_a(T2566)) → log21897_out_a(T2566)
U94_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534) → U95_ga(T2534, log21897_in_a(T2534))
U95_ga(T2534, log21897_out_a(T2534)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2534)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593) → U96_ga(T2593, log21963_in_a(T2593))
log21963_in_a(T2625) → U90_a(T2625, log21782_in_a(T2625))
U90_a(T2625, log21782_out_a(T2625)) → log21963_out_a(T2625)
U96_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593) → U97_ga(T2593, log21963_in_a(T2593))
U97_ga(T2593, log21963_out_a(T2593)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2593)
log2157_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2652) → U98_ga(T2652, log22033_in_a(T2652))
log22033_in_a(T2673) → U91_a(T2673, log21819_in_a(T2673))
U91_a(T2673, log21819_out_a(T2673)) → log22033_out_a(T2673)
U98_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652) → U99_ga(T2652, log22033_in_a(T2652))
U99_ga(T2652, log22033_out_a(T2652)) → log2157_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2652)
log2157_in_ga(s(s(s(s(s(s(0)))))), T2692) → U100_ga(T2692, log22084_in_a(T2692))
log22084_in_a(T2713) → U92_a(T2713, log21819_in_a(T2713))
U92_a(T2713, log21819_out_a(T2713)) → log22084_out_a(T2713)
U100_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(0)))))), T2692)
log2157_in_ga(s(s(s(s(s(s(s(0))))))), T2692) → U101_ga(T2692, log22084_in_a(T2692))
U101_ga(T2692, log22084_out_a(T2692)) → log2157_out_ga(s(s(s(s(s(s(s(0))))))), T2692)
log2157_in_ga(s(s(s(s(0)))), T2730) → U102_ga(T2730, log22139_in_a(T2730))
log22139_in_a(s(s(s(s(s(0)))))) → log22139_out_a(s(s(s(s(s(0))))))
U102_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(0)))), T2730)
log2157_in_ga(s(s(s(s(s(0))))), T2730) → U103_ga(T2730, log22139_in_a(T2730))
U103_ga(T2730, log22139_out_a(T2730)) → log2157_out_ga(s(s(s(s(s(0))))), T2730)
log2157_in_ga(s(s(0)), T2746) → U104_ga(T2746, log22176_in_a(T2746))
log22176_in_a(s(s(s(s(s(0)))))) → log22176_out_a(s(s(s(s(s(0))))))
U104_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(0)), T2746)
log2157_in_ga(s(s(s(0))), T2746) → U105_ga(T2746, log22176_in_a(T2746))
U105_ga(T2746, log22176_out_a(T2746)) → log2157_out_ga(s(s(s(0))), T2746)
log2157_in_ga(0, s(s(s(s(0))))) → log2157_out_ga(0, s(s(s(s(0)))))
log2157_in_ga(s(0), s(s(s(s(0))))) → log2157_out_ga(s(0), s(s(s(s(0)))))
U8_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(0, s(T416), T418)
log2144_in_gga(s(0), s(T416), T418) → U9_gga(T416, T418, log2157_in_ga(T416, T418))
U9_gga(T416, T418, log2157_out_ga(T416, T418)) → log2144_out_gga(s(0), s(T416), T418)
log2144_in_gga(0, 0, s(s(s(0)))) → log2144_out_gga(0, 0, s(s(s(0))))
log2144_in_gga(s(0), 0, s(s(s(0)))) → log2144_out_gga(s(0), 0, s(s(s(0))))
U7_gga(T396, T397, T399, log2144_out_gga(T396, s(T397), T399)) → log2144_out_gga(s(s(T396)), T397, T399)
U110_ga(T375, T377, log2144_out_gga(T375, s(s(s(s(s(s(s(0))))))), T377)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T375)))))))))))))), T377)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776) → U111_ga(T2776, log22254_in_a(T2776))
log22254_in_a(T2808) → U106_a(T2808, log22139_in_a(T2808))
U106_a(T2808, log22139_out_a(T2808)) → log22254_out_a(T2808)
U111_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776) → U112_ga(T2776, log22254_in_a(T2776))
U112_ga(T2776, log22254_out_a(T2776)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T2776)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835) → U113_ga(T2835, log22320_in_a(T2835))
log22320_in_a(T2867) → U107_a(T2867, log22139_in_a(T2867))
U107_a(T2867, log22139_out_a(T2867)) → log22320_out_a(T2867)
U113_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835) → U114_ga(T2835, log22320_in_a(T2835))
U114_ga(T2835, log22320_out_a(T2835)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T2835)
log2107_in_ga(s(s(s(s(s(s(s(s(0)))))))), T2894) → U115_ga(T2894, log22390_in_a(T2894))
log22390_in_a(T2915) → U108_a(T2915, log22176_in_a(T2915))
U108_a(T2915, log22176_out_a(T2915)) → log22390_out_a(T2915)
U115_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(0)))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894) → U116_ga(T2894, log22390_in_a(T2894))
U116_ga(T2894, log22390_out_a(T2894)) → log2107_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T2894)
log2107_in_ga(s(s(s(s(s(s(0)))))), T2934) → U117_ga(T2934, log22441_in_a(T2934))
log22441_in_a(T2955) → U109_a(T2955, log22176_in_a(T2955))
U109_a(T2955, log22176_out_a(T2955)) → log22441_out_a(T2955)
U117_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(0)))))), T2934)
log2107_in_ga(s(s(s(s(s(s(s(0))))))), T2934) → U118_ga(T2934, log22441_in_a(T2934))
U118_ga(T2934, log22441_out_a(T2934)) → log2107_out_ga(s(s(s(s(s(s(s(0))))))), T2934)
log2107_in_ga(s(s(s(s(0)))), T2972) → U119_ga(T2972, log22496_in_a(T2972))
log22496_in_a(s(s(s(s(0))))) → log22496_out_a(s(s(s(s(0)))))
U119_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(0)))), T2972)
log2107_in_ga(s(s(s(s(s(0))))), T2972) → U120_ga(T2972, log22496_in_a(T2972))
U120_ga(T2972, log22496_out_a(T2972)) → log2107_out_ga(s(s(s(s(s(0))))), T2972)
log2107_in_ga(s(s(0)), T2988) → U121_ga(T2988, log22533_in_a(T2988))
log22533_in_a(s(s(s(s(0))))) → log22533_out_a(s(s(s(s(0)))))
U121_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(0)), T2988)
log2107_in_ga(s(s(s(0))), T2988) → U122_ga(T2988, log22533_in_a(T2988))
U122_ga(T2988, log22533_out_a(T2988)) → log2107_out_ga(s(s(s(0))), T2988)
log2107_in_ga(0, s(s(s(0)))) → log2107_out_ga(0, s(s(s(0))))
log2107_in_ga(s(0), s(s(s(0)))) → log2107_out_ga(s(0), s(s(s(0))))
U5_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(0, s(T282), T284)
log294_in_gga(s(0), s(T282), T284) → U6_gga(T282, T284, log2107_in_ga(T282, T284))
U6_gga(T282, T284, log2107_out_ga(T282, T284)) → log294_out_gga(s(0), s(T282), T284)
log294_in_gga(0, 0, s(s(0))) → log294_out_gga(0, 0, s(s(0)))
log294_in_gga(s(0), 0, s(s(0))) → log294_out_gga(s(0), 0, s(s(0)))
U4_gga(T262, T263, T265, log294_out_gga(T262, s(T263), T265)) → log294_out_gga(s(s(T262)), T263, T265)
U127_ga(T241, T243, log294_out_gga(T241, s(s(s(s(s(s(s(0))))))), T243)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T241)))))))))))))), T243)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018) → U128_ga(T3018, log22611_in_a(T3018))
log22611_in_a(T3050) → U123_a(T3050, log22496_in_a(T3050))
U123_a(T3050, log22496_out_a(T3050)) → log22611_out_a(T3050)
U128_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018) → U129_ga(T3018, log22611_in_a(T3018))
U129_ga(T3018, log22611_out_a(T3018)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3018)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077) → U130_ga(T3077, log22677_in_a(T3077))
log22677_in_a(T3109) → U124_a(T3109, log22496_in_a(T3109))
U124_a(T3109, log22496_out_a(T3109)) → log22677_out_a(T3109)
U130_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077) → U131_ga(T3077, log22677_in_a(T3077))
U131_ga(T3077, log22677_out_a(T3077)) → log257_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3077)
log257_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3136) → U132_ga(T3136, log22747_in_a(T3136))
log22747_in_a(T3157) → U125_a(T3157, log22533_in_a(T3157))
U125_a(T3157, log22533_out_a(T3157)) → log22747_out_a(T3157)
U132_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3136)
log257_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136) → U133_ga(T3136, log22747_in_a(T3136))
U133_ga(T3136, log22747_out_a(T3136)) → log257_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3136)
log257_in_ga(s(s(s(s(s(s(0)))))), T3176) → U134_ga(T3176, log22798_in_a(T3176))
log22798_in_a(T3197) → U126_a(T3197, log22533_in_a(T3197))
U126_a(T3197, log22533_out_a(T3197)) → log22798_out_a(T3197)
U134_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(0)))))), T3176)
log257_in_ga(s(s(s(s(s(s(s(0))))))), T3176) → U135_ga(T3176, log22798_in_a(T3176))
U135_ga(T3176, log22798_out_a(T3176)) → log257_out_ga(s(s(s(s(s(s(s(0))))))), T3176)
log257_in_ga(s(s(s(s(0)))), T3214) → U136_ga(T3214, log22853_in_a(T3214))
log22853_in_a(s(s(s(0)))) → log22853_out_a(s(s(s(0))))
U136_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(0)))), T3214)
log257_in_ga(s(s(s(s(s(0))))), T3214) → U137_ga(T3214, log22853_in_a(T3214))
U137_ga(T3214, log22853_out_a(T3214)) → log257_out_ga(s(s(s(s(s(0))))), T3214)
log257_in_ga(s(s(0)), T3230) → U138_ga(T3230, log22890_in_a(T3230))
log22890_in_a(s(s(s(0)))) → log22890_out_a(s(s(s(0))))
U138_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(0)), T3230)
log257_in_ga(s(s(s(0))), T3230) → U139_ga(T3230, log22890_in_a(T3230))
U139_ga(T3230, log22890_out_a(T3230)) → log257_out_ga(s(s(s(0))), T3230)
log257_in_ga(0, s(s(0))) → log257_out_ga(0, s(s(0)))
log257_in_ga(s(0), s(s(0))) → log257_out_ga(s(0), s(s(0)))
U2_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(0, s(T148), T150)
log244_in_gga(s(0), s(T148), T150) → U3_gga(T148, T150, log257_in_ga(T148, T150))
U3_gga(T148, T150, log257_out_ga(T148, T150)) → log244_out_gga(s(0), s(T148), T150)
log244_in_gga(0, 0, s(0)) → log244_out_gga(0, 0, s(0))
log244_in_gga(s(0), 0, s(0)) → log244_out_gga(s(0), 0, s(0))
U1_gga(T128, T129, T131, log244_out_gga(T128, s(T129), T131)) → log244_out_gga(s(s(T128)), T129, T131)
U148_ga(T107, T109, log244_out_gga(T107, s(s(s(s(s(s(s(0))))))), T109)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(T107)))))))))))))))), T109)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260) → U149_ga(T3260, log22968_in_a(T3260))
log22968_in_a(T3292) → U140_a(T3292, log22853_in_a(T3292))
U140_a(T3292, log22853_out_a(T3292)) → log22968_out_a(T3292)
U149_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260) → U150_ga(T3260, log22968_in_a(T3260))
U150_ga(T3260, log22968_out_a(T3260)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))))), T3260)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319) → U151_ga(T3319, log23034_in_a(T3319))
log23034_in_a(T3351) → U141_a(T3351, log22853_in_a(T3351))
U141_a(T3351, log22853_out_a(T3351)) → log23034_out_a(T3351)
U151_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(0)))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319) → U152_ga(T3319, log23034_in_a(T3319))
U152_ga(T3319, log23034_out_a(T3319)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(s(s(0))))))))))))), T3319)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378) → U153_ga(T3378, log23104_in_a(T3378))
log23104_in_a(T3399) → U142_a(T3399, log22890_in_a(T3399))
U142_a(T3399, log22890_out_a(T3399)) → log23104_out_a(T3399)
U153_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(0)))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378) → U154_ga(T3378, log23104_in_a(T3378))
U154_ga(T3378, log23104_out_a(T3378)) → log21_out_ga(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), T3378)
log21_in_ga(s(s(s(s(s(s(s(s(0)))))))), T3418) → U155_ga(T3418, log23155_in_a(T3418))
log23155_in_a(T3439) → U143_a(T3439, log22890_in_a(T3439))
U143_a(T3439, log22890_out_a(T3439)) → log23155_out_a(T3439)
U155_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(0)))))))), T3418)
log21_in_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418) → U156_ga(T3418, log23155_in_a(T3418))
U156_ga(T3418, log23155_out_a(T3418)) → log21_out_ga(s(s(s(s(s(s(s(s(s(0))))))))), T3418)
log21_in_ga(s(s(s(s(s(s(0)))))), T3456) → U157_ga(T3456, log23210_in_a(T3456))
log23210_in_a(s(s(0))) → log23210_out_a(s(s(0)))
U157_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(0)))))), T3456)
log21_in_ga(s(s(s(s(s(s(s(0))))))), T3456) → U158_ga(T3456, log23210_in_a(T3456))
U158_ga(T3456, log23210_out_a(T3456)) → log21_out_ga(s(s(s(s(s(s(s(0))))))), T3456)
log21_in_ga(s(s(s(s(0)))), T3472) → U159_ga(T3472, log23247_in_a(T3472))
log23247_in_a(s(s(0))) → log23247_out_a(s(s(0)))
U159_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(0)))), T3472)
log21_in_ga(s(s(s(s(s(0))))), T3472) → U160_ga(T3472, log23247_in_a(T3472))
U160_ga(T3472, log23247_out_a(T3472)) → log21_out_ga(s(s(s(s(s(0))))), T3472)
log21_in_ga(s(s(0)), s(0)) → log21_out_ga(s(s(0)), s(0))
log21_in_ga(s(s(s(0))), s(0)) → log21_out_ga(s(s(s(0))), s(0))
log21_in_ga(0, s(0)) → log21_out_ga(0, s(0))
log21_in_ga(s(0), s(0)) → log21_out_ga(s(0), s(0))

The argument filtering Pi contains the following mapping:
log21_in_ga(x1, x2)  =  log21_in_ga(x1)
s(x1)  =  s(x1)
U148_ga(x1, x2, x3)  =  U148_ga(x3)
log244_in_gga(x1, x2, x3)  =  log244_in_gga(x1, x2)
U1_gga(x1, x2, x3, x4)  =  U1_gga(x4)
0  =  0
U2_gga(x1, x2, x3)  =  U2_gga(x3)
log257_in_ga(x1, x2)  =  log257_in_ga(x1)
U127_ga(x1, x2, x3)  =  U127_ga(x3)
log294_in_gga(x1, x2, x3)  =  log294_in_gga(x1, x2)
U4_gga(x1, x2, x3, x4)  =  U4_gga(x4)
U5_gga(x1, x2, x3)  =  U5_gga(x3)
log2107_in_ga(x1, x2)  =  log2107_in_ga(x1)
U110_ga(x1, x2, x3)  =  U110_ga(x3)
log2144_in_gga(x1, x2, x3)  =  log2144_in_gga(x1, x2)
U7_gga(x1, x2, x3, x4)  =  U7_gga(x4)
U8_gga(x1, x2, x3)  =  U8_gga(x3)
log2157_in_ga(x1, x2)  =  log2157_in_ga(x1)
U93_ga(x1, x2, x3)  =  U93_ga(x3)
log2194_in_gga(x1, x2, x3)  =  log2194_in_gga(x1, x2)
U10_gga(x1, x2, x3, x4)  =  U10_gga(x4)
U11_gga(x1, x2, x3)  =  U11_gga(x3)
log2207_in_ga(x1, x2)  =  log2207_in_ga(x1)
U76_ga(x1, x2, x3)  =  U76_ga(x3)
log2244_in_gga(x1, x2, x3)  =  log2244_in_gga(x1, x2)
U13_gga(x1, x2, x3, x4)  =  U13_gga(x4)
U14_gga(x1, x2, x3)  =  U14_gga(x3)
log2257_in_ga(x1, x2)  =  log2257_in_ga(x1)
U59_ga(x1, x2, x3)  =  U59_ga(x3)
log2294_in_gga(x1, x2, x3)  =  log2294_in_gga(x1, x2)
U16_gga(x1, x2, x3, x4)  =  U16_gga(x4)
U17_gga(x1, x2, x3)  =  U17_gga(x3)
log2307_in_ga(x1, x2)  =  log2307_in_ga(x1)
U42_ga(x1, x2, x3)  =  U42_ga(x3)
log2344_in_gga(x1, x2, x3)  =  log2344_in_gga(x1, x2)
U19_gga(x1, x2, x3, x4)  =  U19_gga(x4)
U20_gga(x1, x2, x3)  =  U20_gga(x3)
log2359_in_gga(x1, x2, x3)  =  log2359_in_gga(x1, x2)
U25_gga(x1, x2, x3, x4)  =  U25_gga(x4)
log2395_in_ggga(x1, x2, x3, x4)  =  log2395_in_ggga(x1, x2, x3)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4)  =  U23_ggga(x4)
U26_gga(x1, x2, x3)  =  U26_gga(x3)
log2437_in_ga(x1, x2)  =  log2437_in_ga(x1)
U38_ga(x1, x2, x3)  =  U38_ga(x3)
log2454_in_ga(x1, x2)  =  log2454_in_ga(x1)
log2454_out_ga(x1, x2)  =  log2454_out_ga(x2)
log2437_out_ga(x1, x2)  =  log2437_out_ga(x2)
log2359_out_gga(x1, x2, x3)  =  log2359_out_gga(x3)
U27_gga(x1, x2, x3)  =  U27_gga(x3)
U28_gga(x1, x2, x3)  =  U28_gga(x3)
log2515_in_ga(x1, x2)  =  log2515_in_ga(x1)
U39_ga(x1, x2, x3)  =  U39_ga(x3)
log2515_out_ga(x1, x2)  =  log2515_out_ga(x2)
U29_gga(x1, x2, x3)  =  U29_gga(x3)
U30_gga(x1, x2, x3)  =  U30_gga(x3)
log2585_in_ga(x1, x2)  =  log2585_in_ga(x1)
U40_ga(x1, x2, x3)  =  U40_ga(x3)
log2598_in_ga(x1, x2)  =  log2598_in_ga(x1)
log2598_out_ga(x1, x2)  =  log2598_out_ga(x2)
log2585_out_ga(x1, x2)  =  log2585_out_ga(x2)
U31_gga(x1, x2, x3)  =  U31_gga(x3)
U32_gga(x1, x2, x3)  =  U32_gga(x3)
log2650_in_ga(x1, x2)  =  log2650_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x3)
log2650_out_ga(x1, x2)  =  log2650_out_ga(x2)
U33_gga(x1, x2, x3)  =  U33_gga(x3)
U34_gga(x1, x2, x3)  =  U34_gga(x3)
log2705_in_ga(x1, x2)  =  log2705_in_ga(x1)
log2705_out_ga(x1, x2)  =  log2705_out_ga(x2)
U35_gga(x1, x2, x3)  =  U35_gga(x3)
U36_gga(x1, x2, x3)  =  U36_gga(x3)
log2742_in_ga(x1, x2)  =  log2742_in_ga(x1)
log2742_out_ga(x1, x2)  =  log2742_out_ga(x2)
U37_gga(x1, x2, x3)  =  U37_gga(x3)
log2395_out_ggga(x1, x2, x3, x4)  =  log2395_out_ggga(x4)
U24_ggga(x1, x2, x3, x4)  =  U24_ggga(x4)
log2344_out_gga(x1, x2, x3)  =  log2344_out_gga(x3)
U21_gga(x1, x2, x3)  =  U21_gga(x3)
log2307_out_ga(x1, x2)  =  log2307_out_ga(x2)
U43_ga(x1, x2)  =  U43_ga(x2)
log2822_in_ga(x1, x2)  =  log2822_in_ga(x1)
U144_ga(x1, x2, x3)  =  U144_ga(x3)
log2822_out_ga(x1, x2)  =  log2822_out_ga(x2)
U44_ga(x1, x2)  =  U44_ga(x2)
U45_ga(x1, x2)  =  U45_ga(x2)
log2889_in_ga(x1, x2)  =  log2889_in_ga(x1)
U145_ga(x1, x2, x3)  =  U145_ga(x3)
log2889_out_ga(x1, x2)  =  log2889_out_ga(x2)
U46_ga(x1, x2)  =  U46_ga(x2)
U47_ga(x1, x2)  =  U47_ga(x2)
log2960_in_ga(x1, x2)  =  log2960_in_ga(x1)
U146_ga(x1, x2, x3)  =  U146_ga(x3)
log2960_out_ga(x1, x2)  =  log2960_out_ga(x2)
U48_ga(x1, x2)  =  U48_ga(x2)
U49_ga(x1, x2)  =  U49_ga(x2)
log21012_in_ga(x1, x2)  =  log21012_in_ga(x1)
U147_ga(x1, x2, x3)  =  U147_ga(x3)
log21012_out_ga(x1, x2)  =  log21012_out_ga(x2)
U50_ga(x1, x2)  =  U50_ga(x2)
U51_ga(x1, x2)  =  U51_ga(x2)
log21068_in_ga(x1, x2)  =  log21068_in_ga(x1)
log21068_out_ga(x1, x2)  =  log21068_out_ga(x2)
U52_ga(x1, x2)  =  U52_ga(x2)
U53_ga(x1, x2)  =  U53_ga(x2)
log21106_in_ga(x1, x2)  =  log21106_in_ga(x1)
log21106_out_ga(x1, x2)  =  log21106_out_ga(x2)
U54_ga(x1, x2)  =  U54_ga(x2)
log2294_out_gga(x1, x2, x3)  =  log2294_out_gga(x3)
U18_gga(x1, x2, x3)  =  U18_gga(x3)
log2257_out_ga(x1, x2)  =  log2257_out_ga(x2)
U60_ga(x1, x2)  =  U60_ga(x2)
log21183_in_a(x1)  =  log21183_in_a
U55_a(x1, x2)  =  U55_a(x2)
log21183_out_a(x1)  =  log21183_out_a(x1)
U61_ga(x1, x2)  =  U61_ga(x2)
U62_ga(x1, x2)  =  U62_ga(x2)
log21249_in_a(x1)  =  log21249_in_a
U56_a(x1, x2)  =  U56_a(x2)
log21249_out_a(x1)  =  log21249_out_a(x1)
U63_ga(x1, x2)  =  U63_ga(x2)
U64_ga(x1, x2)  =  U64_ga(x2)
log21319_in_a(x1)  =  log21319_in_a
U57_a(x1, x2)  =  U57_a(x2)
log21319_out_a(x1)  =  log21319_out_a(x1)
U65_ga(x1, x2)  =  U65_ga(x2)
U66_ga(x1, x2)  =  U66_ga(x2)
log21370_in_a(x1)  =  log21370_in_a
U58_a(x1, x2)  =  U58_a(x2)
log21370_out_a(x1)  =  log21370_out_a(x1)
U67_ga(x1, x2)  =  U67_ga(x2)
U68_ga(x1, x2)  =  U68_ga(x2)
log21425_in_a(x1)  =  log21425_in_a
log21425_out_a(x1)  =  log21425_out_a(x1)
U69_ga(x1, x2)  =  U69_ga(x2)
U70_ga(x1, x2)  =  U70_ga(x2)
log21462_in_a(x1)  =  log21462_in_a
log21462_out_a(x1)  =  log21462_out_a(x1)
U71_ga(x1, x2)  =  U71_ga(x2)
log2244_out_gga(x1, x2, x3)  =  log2244_out_gga(x3)
U15_gga(x1, x2, x3)  =  U15_gga(x3)
log2207_out_ga(x1, x2)  =  log2207_out_ga(x2)
U77_ga(x1, x2)  =  U77_ga(x2)
log21540_in_a(x1)  =  log21540_in_a
U72_a(x1, x2)  =  U72_a(x2)
log21540_out_a(x1)  =  log21540_out_a(x1)
U78_ga(x1, x2)  =  U78_ga(x2)
U79_ga(x1, x2)  =  U79_ga(x2)
log21606_in_a(x1)  =  log21606_in_a
U73_a(x1, x2)  =  U73_a(x2)
log21606_out_a(x1)  =  log21606_out_a(x1)
U80_ga(x1, x2)  =  U80_ga(x2)
U81_ga(x1, x2)  =  U81_ga(x2)
log21676_in_a(x1)  =  log21676_in_a
U74_a(x1, x2)  =  U74_a(x2)
log21676_out_a(x1)  =  log21676_out_a(x1)
U82_ga(x1, x2)  =  U82_ga(x2)
U83_ga(x1, x2)  =  U83_ga(x2)
log21727_in_a(x1)  =  log21727_in_a
U75_a(x1, x2)  =  U75_a(x2)
log21727_out_a(x1)  =  log21727_out_a(x1)
U84_ga(x1, x2)  =  U84_ga(x2)
U85_ga(x1, x2)  =  U85_ga(x2)
log21782_in_a(x1)  =  log21782_in_a
log21782_out_a(x1)  =  log21782_out_a(x1)
U86_ga(x1, x2)  =  U86_ga(x2)
U87_ga(x1, x2)  =  U87_ga(x2)
log21819_in_a(x1)  =  log21819_in_a
log21819_out_a(x1)  =  log21819_out_a(x1)
U88_ga(x1, x2)  =  U88_ga(x2)
log2194_out_gga(x1, x2, x3)  =  log2194_out_gga(x3)
U12_gga(x1, x2, x3)  =  U12_gga(x3)
log2157_out_ga(x1, x2)  =  log2157_out_ga(x2)
U94_ga(x1, x2)  =  U94_ga(x2)
log21897_in_a(x1)  =  log21897_in_a
U89_a(x1, x2)  =  U89_a(x2)
log21897_out_a(x1)  =  log21897_out_a(x1)
U95_ga(x1, x2)  =  U95_ga(x2)
U96_ga(x1, x2)  =  U96_ga(x2)
log21963_in_a(x1)  =  log21963_in_a
U90_a(x1, x2)  =  U90_a(x2)
log21963_out_a(x1)  =  log21963_out_a(x1)
U97_ga(x1, x2)  =  U97_ga(x2)
U98_ga(x1, x2)  =  U98_ga(x2)
log22033_in_a(x1)  =  log22033_in_a
U91_a(x1, x2)  =  U91_a(x2)
log22033_out_a(x1)  =  log22033_out_a(x1)
U99_ga(x1, x2)  =  U99_ga(x2)
U100_ga(x1, x2)  =  U100_ga(x2)
log22084_in_a(x1)  =  log22084_in_a
U92_a(x1, x2)  =  U92_a(x2)
log22084_out_a(x1)  =  log22084_out_a(x1)
U101_ga(x1, x2)  =  U101_ga(x2)
U102_ga(x1, x2)  =  U102_ga(x2)
log22139_in_a(x1)  =  log22139_in_a
log22139_out_a(x1)  =  log22139_out_a(x1)
U103_ga(x1, x2)  =  U103_ga(x2)
U104_ga(x1, x2)  =  U104_ga(x2)
log22176_in_a(x1)  =  log22176_in_a
log22176_out_a(x1)  =  log22176_out_a(x1)
U105_ga(x1, x2)  =  U105_ga(x2)
log2144_out_gga(x1, x2, x3)  =  log2144_out_gga(x3)
U9_gga(x1, x2, x3)  =  U9_gga(x3)
log2107_out_ga(x1, x2)  =  log2107_out_ga(x2)
U111_ga(x1, x2)  =  U111_ga(x2)
log22254_in_a(x1)  =  log22254_in_a
U106_a(x1, x2)  =  U106_a(x2)
log22254_out_a(x1)  =  log22254_out_a(x1)
U112_ga(x1, x2)  =  U112_ga(x2)
U113_ga(x1, x2)  =  U113_ga(x2)
log22320_in_a(x1)  =  log22320_in_a
U107_a(x1, x2)  =  U107_a(x2)
log22320_out_a(x1)  =  log22320_out_a(x1)
U114_ga(x1, x2)  =  U114_ga(x2)
U115_ga(x1, x2)  =  U115_ga(x2)
log22390_in_a(x1)  =  log22390_in_a
U108_a(x1, x2)  =  U108_a(x2)
log22390_out_a(x1)  =  log22390_out_a(x1)
U116_ga(x1, x2)  =  U116_ga(x2)
U117_ga(x1, x2)  =  U117_ga(x2)
log22441_in_a(x1)  =  log22441_in_a
U109_a(x1, x2)  =  U109_a(x2)
log22441_out_a(x1)  =  log22441_out_a(x1)
U118_ga(x1, x2)  =  U118_ga(x2)
U119_ga(x1, x2)  =  U119_ga(x2)
log22496_in_a(x1)  =  log22496_in_a
log22496_out_a(x1)  =  log22496_out_a(x1)
U120_ga(x1, x2)  =  U120_ga(x2)
U121_ga(x1, x2)  =  U121_ga(x2)
log22533_in_a(x1)  =  log22533_in_a
log22533_out_a(x1)  =  log22533_out_a(x1)
U122_ga(x1, x2)  =  U122_ga(x2)
log294_out_gga(x1, x2, x3)  =  log294_out_gga(x3)
U6_gga(x1, x2, x3)  =  U6_gga(x3)
log257_out_ga(x1, x2)  =  log257_out_ga(x2)
U128_ga(x1, x2)  =  U128_ga(x2)
log22611_in_a(x1)  =  log22611_in_a
U123_a(x1, x2)  =  U123_a(x2)
log22611_out_a(x1)  =  log22611_out_a(x1)
U129_ga(x1, x2)  =  U129_ga(x2)
U130_ga(x1, x2)  =  U130_ga(x2)
log22677_in_a(x1)  =  log22677_in_a
U124_a(x1, x2)  =  U124_a(x2)
log22677_out_a(x1)  =  log22677_out_a(x1)
U131_ga(x1, x2)  =  U131_ga(x2)
U132_ga(x1, x2)  =  U132_ga(x2)
log22747_in_a(x1)  =  log22747_in_a
U125_a(x1, x2)  =  U125_a(x2)
log22747_out_a(x1)  =  log22747_out_a(x1)
U133_ga(x1, x2)  =  U133_ga(x2)
U134_ga(x1, x2)  =  U134_ga(x2)
log22798_in_a(x1)  =  log22798_in_a
U126_a(x1, x2)  =  U126_a(x2)
log22798_out_a(x1)  =  log22798_out_a(x1)
U135_ga(x1, x2)  =  U135_ga(x2)
U136_ga(x1, x2)  =  U136_ga(x2)
log22853_in_a(x1)  =  log22853_in_a
log22853_out_a(x1)  =  log22853_out_a(x1)
U137_ga(x1, x2)  =  U137_ga(x2)
U138_ga(x1, x2)  =  U138_ga(x2)
log22890_in_a(x1)  =  log22890_in_a
log22890_out_a(x1)  =  log22890_out_a(x1)
U139_ga(x1, x2)  =  U139_ga(x2)
log244_out_gga(x1, x2, x3)  =  log244_out_gga(x3)
U3_gga(x1, x2, x3)  =  U3_gga(x3)
log21_out_ga(x1, x2)  =  log21_out_ga(x2)
U149_ga(x1, x2)  =  U149_ga(x2)
log22968_in_a(x1)  =  log22968_in_a
U140_a(x1, x2)  =  U140_a(x2)
log22968_out_a(x1)  =  log22968_out_a(x1)
U150_ga(x1, x2)  =  U150_ga(x2)
U151_ga(x1, x2)  =  U151_ga(x2)
log23034_in_a(x1)  =  log23034_in_a
U141_a(x1, x2)  =  U141_a(x2)
log23034_out_a(x1)  =  log23034_out_a(x1)
U152_ga(x1, x2)  =  U152_ga(x2)
U153_ga(x1, x2)  =  U153_ga(x2)
log23104_in_a(x1)  =  log23104_in_a
U142_a(x1, x2)  =  U142_a(x2)
log23104_out_a(x1)  =  log23104_out_a(x1)
U154_ga(x1, x2)  =  U154_ga(x2)
U155_ga(x1, x2)  =  U155_ga(x2)
log23155_in_a(x1)  =  log23155_in_a
U143_a(x1, x2)  =  U143_a(x2)
log23155_out_a(x1)  =  log23155_out_a(x1)
U156_ga(x1, x2)  =  U156_ga(x2)
U157_ga(x1, x2)  =  U157_ga(x2)
log23210_in_a(x1)  =  log23210_in_a
log23210_out_a(x1)  =  log23210_out_a(x1)
U158_ga(x1, x2)  =  U158_ga(x2)
U159_ga(x1, x2)  =  U159_ga(x2)
log23247_in_a(x1)  =  log23247_in_a
log23247_out_a(x1)  =  log23247_out_a(x1)
U160_ga(x1, x2)  =  U160_ga(x2)
LOG244_IN_GGA(x1, x2, x3)  =  LOG244_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(61) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(62) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

LOG244_IN_GGA(s(s(T128)), T129, T131) → LOG244_IN_GGA(T128, s(T129), T131)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
LOG244_IN_GGA(x1, x2, x3)  =  LOG244_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(63) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(64) Obligation:

Q DP problem:
The TRS P consists of the following rules:

LOG244_IN_GGA(s(s(T128)), T129) → LOG244_IN_GGA(T128, s(T129))

R is empty.
Q is empty.
We have to consider all (P,Q,R)-chains.

(65) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • LOG244_IN_GGA(s(s(T128)), T129) → LOG244_IN_GGA(T128, s(T129))
    The graph contains the following edges 1 > 1

(66) YES