0 Prolog
↳1 PrologToPiTRSViaGraphTransformerProof (⇒, 228 ms)
↳2 PiTRS
↳3 DependencyPairsProof (⇔, 247 ms)
↳4 PiDP
↳5 DependencyGraphProof (⇔, 26 ms)
↳6 AND
↳7 PiDP
↳8 UsableRulesProof (⇔, 0 ms)
↳9 PiDP
↳10 PiDPToQDPProof (⇒, 0 ms)
↳11 QDP
↳12 QDPSizeChangeProof (⇔, 0 ms)
↳13 YES
↳14 PiDP
↳15 UsableRulesProof (⇔, 0 ms)
↳16 PiDP
↳17 PiDPToQDPProof (⇒, 0 ms)
↳18 QDP
↳19 QDPSizeChangeProof (⇔, 0 ms)
↳20 YES
↳21 PiDP
↳22 UsableRulesProof (⇔, 0 ms)
↳23 PiDP
↳24 PiDPToQDPProof (⇒, 0 ms)
↳25 QDP
↳26 QDPQMonotonicMRRProof (⇔, 274 ms)
↳27 QDP
↳28 DependencyGraphProof (⇔, 0 ms)
↳29 TRUE
↳30 PiDP
↳31 UsableRulesProof (⇔, 0 ms)
↳32 PiDP
↳33 PiDPToQDPProof (⇒, 0 ms)
↳34 QDP
↳35 QDPSizeChangeProof (⇔, 0 ms)
↳36 YES
↳37 PiDP
↳38 UsableRulesProof (⇔, 0 ms)
↳39 PiDP
↳40 PiDPToQDPProof (⇒, 0 ms)
↳41 QDP
↳42 QDPSizeChangeProof (⇔, 0 ms)
↳43 YES
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
CONFA_IN_G(T11) → U1_G(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
CONFA_IN_G(T11) → PB_IN_AGAAAAA(X23, T11, X24, X25, X26, X4, X5)
PB_IN_AGAAAAA(T16, T11, T17, X25, X26, X4, X5) → U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
PB_IN_AGAAAAA(T16, T11, T17, X25, X26, X4, X5) → DELC_IN_AGA(T16, T11, T17)
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → U2_AGA(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → DELC_IN_AGA(X70, T37, X71)
U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → PK_IN_AGAAA(X25, T17, X26, X4, X5)
PK_IN_AGAAA(T46, T17, T47, X4, X5) → U10_AGAAA(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
PK_IN_AGAAA(T46, T17, T47, X4, X5) → DELC_IN_AGA(T46, T17, T47)
U10_AGAAA(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_AGAAA(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
U10_AGAAA(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → PL_IN_AAG(X4, X5, T47)
PL_IN_AAG(T53, T54, T47) → U12_AAG(T53, T54, T47, delD_in_aag(T53, T54, T47))
PL_IN_AAG(T53, T54, T47) → DELD_IN_AAG(T53, T54, T47)
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → U3_AAG(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → DELD_IN_AAG(X141, X143, T66)
U12_AAG(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_AAG(T53, T54, T47, confF_in_g(T54))
U12_AAG(T53, T54, T47, delD_out_aag(T53, T54, T47)) → CONFF_IN_G(T54)
CONFF_IN_G(T74) → U5_G(T74, pG_in_gaaa(T74, X164, X165, X166))
CONFF_IN_G(T74) → PG_IN_GAAA(T74, X164, X165, X166)
PG_IN_GAAA(T74, T76, X165, X166) → U14_GAAA(T74, T76, X165, X166, del2I_in_ga(T74, T76))
PG_IN_GAAA(T74, T76, X165, X166) → DEL2I_IN_GA(T74, T76)
DEL2I_IN_GA(T86, X199) → U7_GA(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
DEL2I_IN_GA(T86, X199) → PJ_IN_AGAAA(X196, T86, X197, X198, X199)
PJ_IN_AGAAA(T91, T86, T92, X198, X199) → U18_AGAAA(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
PJ_IN_AGAAA(T91, T86, T92, X198, X199) → DELE_IN_AGA(T91, T86, T92)
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → U4_AGA(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → DELE_IN_AGA(X249, T117, X250)
U18_AGAAA(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_AGAAA(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U18_AGAAA(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → DELE_IN_AGA(X198, T92, X199)
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_GAAA(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → PM_IN_AAG(X165, X166, T76)
PM_IN_AAG(T123, T124, T76) → U16_AAG(T123, T124, T76, delH_in_aag(T123, T124, T76))
PM_IN_AAG(T123, T124, T76) → DELH_IN_AAG(T123, T124, T76)
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → U6_AAG(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → DELH_IN_AAG(X308, X310, T137)
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_AAG(T123, T124, T76, confF_in_g(T124))
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → CONFF_IN_G(T124)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
CONFA_IN_G(T11) → U1_G(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
CONFA_IN_G(T11) → PB_IN_AGAAAAA(X23, T11, X24, X25, X26, X4, X5)
PB_IN_AGAAAAA(T16, T11, T17, X25, X26, X4, X5) → U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
PB_IN_AGAAAAA(T16, T11, T17, X25, X26, X4, X5) → DELC_IN_AGA(T16, T11, T17)
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → U2_AGA(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → DELC_IN_AGA(X70, T37, X71)
U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
U8_AGAAAAA(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → PK_IN_AGAAA(X25, T17, X26, X4, X5)
PK_IN_AGAAA(T46, T17, T47, X4, X5) → U10_AGAAA(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
PK_IN_AGAAA(T46, T17, T47, X4, X5) → DELC_IN_AGA(T46, T17, T47)
U10_AGAAA(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_AGAAA(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
U10_AGAAA(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → PL_IN_AAG(X4, X5, T47)
PL_IN_AAG(T53, T54, T47) → U12_AAG(T53, T54, T47, delD_in_aag(T53, T54, T47))
PL_IN_AAG(T53, T54, T47) → DELD_IN_AAG(T53, T54, T47)
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → U3_AAG(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → DELD_IN_AAG(X141, X143, T66)
U12_AAG(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_AAG(T53, T54, T47, confF_in_g(T54))
U12_AAG(T53, T54, T47, delD_out_aag(T53, T54, T47)) → CONFF_IN_G(T54)
CONFF_IN_G(T74) → U5_G(T74, pG_in_gaaa(T74, X164, X165, X166))
CONFF_IN_G(T74) → PG_IN_GAAA(T74, X164, X165, X166)
PG_IN_GAAA(T74, T76, X165, X166) → U14_GAAA(T74, T76, X165, X166, del2I_in_ga(T74, T76))
PG_IN_GAAA(T74, T76, X165, X166) → DEL2I_IN_GA(T74, T76)
DEL2I_IN_GA(T86, X199) → U7_GA(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
DEL2I_IN_GA(T86, X199) → PJ_IN_AGAAA(X196, T86, X197, X198, X199)
PJ_IN_AGAAA(T91, T86, T92, X198, X199) → U18_AGAAA(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
PJ_IN_AGAAA(T91, T86, T92, X198, X199) → DELE_IN_AGA(T91, T86, T92)
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → U4_AGA(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → DELE_IN_AGA(X249, T117, X250)
U18_AGAAA(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_AGAAA(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U18_AGAAA(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → DELE_IN_AGA(X198, T92, X199)
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_GAAA(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → PM_IN_AAG(X165, X166, T76)
PM_IN_AAG(T123, T124, T76) → U16_AAG(T123, T124, T76, delH_in_aag(T123, T124, T76))
PM_IN_AAG(T123, T124, T76) → DELH_IN_AAG(T123, T124, T76)
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → U6_AAG(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → DELH_IN_AAG(X308, X310, T137)
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_AAG(T123, T124, T76, confF_in_g(T124))
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → CONFF_IN_G(T124)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → DELH_IN_AAG(X308, X310, T137)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
DELH_IN_AAG(X308, cons(T135, X310), cons(T135, T137)) → DELH_IN_AAG(X308, X310, T137)
DELH_IN_AAG(cons(T137)) → DELH_IN_AAG(T137)
From the DPs we obtained the following set of size-change graphs:
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → DELE_IN_AGA(X249, T117, X250)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
DELE_IN_AGA(X249, cons(T115, T117), cons(T115, X250)) → DELE_IN_AGA(X249, T117, X250)
DELE_IN_AGA(cons(T117)) → DELE_IN_AGA(T117)
From the DPs we obtained the following set of size-change graphs:
CONFF_IN_G(T74) → PG_IN_GAAA(T74, X164, X165, X166)
PG_IN_GAAA(T74, T76, X165, X166) → U14_GAAA(T74, T76, X165, X166, del2I_in_ga(T74, T76))
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → PM_IN_AAG(X165, X166, T76)
PM_IN_AAG(T123, T124, T76) → U16_AAG(T123, T124, T76, delH_in_aag(T123, T124, T76))
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → CONFF_IN_G(T124)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
CONFF_IN_G(T74) → PG_IN_GAAA(T74, X164, X165, X166)
PG_IN_GAAA(T74, T76, X165, X166) → U14_GAAA(T74, T76, X165, X166, del2I_in_ga(T74, T76))
U14_GAAA(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → PM_IN_AAG(X165, X166, T76)
PM_IN_AAG(T123, T124, T76) → U16_AAG(T123, T124, T76, delH_in_aag(T123, T124, T76))
U16_AAG(T123, T124, T76, delH_out_aag(T123, T124, T76)) → CONFF_IN_G(T124)
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
CONFF_IN_G(T74) → PG_IN_GAAA(T74)
PG_IN_GAAA(T74) → U14_GAAA(T74, del2I_in_ga(T74))
U14_GAAA(T74, del2I_out_ga(T74, T76)) → PM_IN_AAG(T76)
PM_IN_AAG(T76) → U16_AAG(T76, delH_in_aag(T76))
U16_AAG(T76, delH_out_aag(T124, T76)) → CONFF_IN_G(T124)
del2I_in_ga(T86) → U7_ga(T86, pJ_in_agaaa(T86))
delH_in_aag(T130) → delH_out_aag(cons(T130), T130)
delH_in_aag(cons(T137)) → U6_aag(T137, delH_in_aag(T137))
U7_ga(T86, pJ_out_agaaa(T86, X197, X199)) → del2I_out_ga(T86, X199)
U6_aag(T137, delH_out_aag(X310, T137)) → delH_out_aag(cons(X310), cons(T137))
pJ_in_agaaa(T86) → U18_agaaa(T86, delE_in_aga(T86))
U18_agaaa(T86, delE_out_aga(T86, T92)) → U19_agaaa(T86, T92, delE_in_aga(T92))
delE_in_aga(cons(T110)) → delE_out_aga(cons(T110), T110)
delE_in_aga(cons(T117)) → U4_aga(T117, delE_in_aga(T117))
U19_agaaa(T86, T92, delE_out_aga(T92, X199)) → pJ_out_agaaa(T86, T92, X199)
U4_aga(T117, delE_out_aga(T117, X250)) → delE_out_aga(cons(T117), cons(X250))
del2I_in_ga(x0)
delH_in_aag(x0)
U7_ga(x0, x1)
U6_aag(x0, x1)
pJ_in_agaaa(x0)
U18_agaaa(x0, x1)
delE_in_aga(x0)
U19_agaaa(x0, x1, x2)
U4_aga(x0, x1)
U14_GAAA(T74, del2I_out_ga(T74, T76)) → PM_IN_AAG(T76)
POL(CONFF_IN_G(x1)) = 2·x1
POL(PG_IN_GAAA(x1)) = 2·x1
POL(PM_IN_AAG(x1)) = 2 + 2·x1
POL(U14_GAAA(x1, x2)) = 2·x2
POL(U16_AAG(x1, x2)) = x2
POL(U18_agaaa(x1, x2)) = x2
POL(U19_agaaa(x1, x2, x3)) = 1 + x3
POL(U4_aga(x1, x2)) = 1 + x2
POL(U6_aag(x1, x2)) = 2 + x2
POL(U7_ga(x1, x2)) = x2
POL(cons(x1)) = 1 + x1
POL(del2I_in_ga(x1)) = x1
POL(del2I_out_ga(x1, x2)) = 2 + x2
POL(delE_in_aga(x1)) = x1
POL(delE_out_aga(x1, x2)) = 1 + x2
POL(delH_in_aag(x1)) = 2 + 2·x1
POL(delH_out_aag(x1, x2)) = 2·x1
POL(pJ_in_agaaa(x1)) = x1
POL(pJ_out_agaaa(x1, x2, x3)) = 2 + x3
CONFF_IN_G(T74) → PG_IN_GAAA(T74)
PG_IN_GAAA(T74) → U14_GAAA(T74, del2I_in_ga(T74))
PM_IN_AAG(T76) → U16_AAG(T76, delH_in_aag(T76))
U16_AAG(T76, delH_out_aag(T124, T76)) → CONFF_IN_G(T124)
del2I_in_ga(T86) → U7_ga(T86, pJ_in_agaaa(T86))
delH_in_aag(T130) → delH_out_aag(cons(T130), T130)
delH_in_aag(cons(T137)) → U6_aag(T137, delH_in_aag(T137))
U7_ga(T86, pJ_out_agaaa(T86, X197, X199)) → del2I_out_ga(T86, X199)
U6_aag(T137, delH_out_aag(X310, T137)) → delH_out_aag(cons(X310), cons(T137))
pJ_in_agaaa(T86) → U18_agaaa(T86, delE_in_aga(T86))
U18_agaaa(T86, delE_out_aga(T86, T92)) → U19_agaaa(T86, T92, delE_in_aga(T92))
delE_in_aga(cons(T110)) → delE_out_aga(cons(T110), T110)
delE_in_aga(cons(T117)) → U4_aga(T117, delE_in_aga(T117))
U19_agaaa(T86, T92, delE_out_aga(T92, X199)) → pJ_out_agaaa(T86, T92, X199)
U4_aga(T117, delE_out_aga(T117, X250)) → delE_out_aga(cons(T117), cons(X250))
del2I_in_ga(x0)
delH_in_aag(x0)
U7_ga(x0, x1)
U6_aag(x0, x1)
pJ_in_agaaa(x0)
U18_agaaa(x0, x1)
delE_in_aga(x0)
U19_agaaa(x0, x1, x2)
U4_aga(x0, x1)
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → DELD_IN_AAG(X141, X143, T66)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
DELD_IN_AAG(X141, cons(T65, X143), cons(T65, T66)) → DELD_IN_AAG(X141, X143, T66)
DELD_IN_AAG(cons(T66)) → DELD_IN_AAG(T66)
From the DPs we obtained the following set of size-change graphs:
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → DELC_IN_AGA(X70, T37, X71)
confA_in_g(T11) → U1_g(T11, pB_in_agaaaaa(X23, T11, X24, X25, X26, X4, X5))
pB_in_agaaaaa(T16, T11, T17, X25, X26, X4, X5) → U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_in_aga(T16, T11, T17))
delC_in_aga(T30, cons(T30, T31), T31) → delC_out_aga(T30, cons(T30, T31), T31)
delC_in_aga(X70, cons(T36, T37), cons(T36, X71)) → U2_aga(X70, T36, T37, X71, delC_in_aga(X70, T37, X71))
U2_aga(X70, T36, T37, X71, delC_out_aga(X70, T37, X71)) → delC_out_aga(X70, cons(T36, T37), cons(T36, X71))
U8_agaaaaa(T16, T11, T17, X25, X26, X4, X5, delC_out_aga(T16, T11, T17)) → U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_in_agaaa(X25, T17, X26, X4, X5))
pK_in_agaaa(T46, T17, T47, X4, X5) → U10_agaaa(T46, T17, T47, X4, X5, delC_in_aga(T46, T17, T47))
U10_agaaa(T46, T17, T47, X4, X5, delC_out_aga(T46, T17, T47)) → U11_agaaa(T46, T17, T47, X4, X5, pL_in_aag(X4, X5, T47))
pL_in_aag(T53, T54, T47) → U12_aag(T53, T54, T47, delD_in_aag(T53, T54, T47))
delD_in_aag(X121, cons(X121, T60), T60) → delD_out_aag(X121, cons(X121, T60), T60)
delD_in_aag(X141, cons(T65, X143), cons(T65, T66)) → U3_aag(X141, T65, X143, T66, delD_in_aag(X141, X143, T66))
U3_aag(X141, T65, X143, T66, delD_out_aag(X141, X143, T66)) → delD_out_aag(X141, cons(T65, X143), cons(T65, T66))
U12_aag(T53, T54, T47, delD_out_aag(T53, T54, T47)) → U13_aag(T53, T54, T47, confF_in_g(T54))
confF_in_g(T74) → U5_g(T74, pG_in_gaaa(T74, X164, X165, X166))
pG_in_gaaa(T74, T76, X165, X166) → U14_gaaa(T74, T76, X165, X166, del2I_in_ga(T74, T76))
del2I_in_ga(T86, X199) → U7_ga(T86, X199, pJ_in_agaaa(X196, T86, X197, X198, X199))
pJ_in_agaaa(T91, T86, T92, X198, X199) → U18_agaaa(T91, T86, T92, X198, X199, delE_in_aga(T91, T86, T92))
delE_in_aga(T109, cons(T109, T110), T110) → delE_out_aga(T109, cons(T109, T110), T110)
delE_in_aga(X249, cons(T115, T117), cons(T115, X250)) → U4_aga(X249, T115, T117, X250, delE_in_aga(X249, T117, X250))
U4_aga(X249, T115, T117, X250, delE_out_aga(X249, T117, X250)) → delE_out_aga(X249, cons(T115, T117), cons(T115, X250))
U18_agaaa(T91, T86, T92, X198, X199, delE_out_aga(T91, T86, T92)) → U19_agaaa(T91, T86, T92, X198, X199, delE_in_aga(X198, T92, X199))
U19_agaaa(T91, T86, T92, X198, X199, delE_out_aga(X198, T92, X199)) → pJ_out_agaaa(T91, T86, T92, X198, X199)
U7_ga(T86, X199, pJ_out_agaaa(X196, T86, X197, X198, X199)) → del2I_out_ga(T86, X199)
U14_gaaa(T74, T76, X165, X166, del2I_out_ga(T74, T76)) → U15_gaaa(T74, T76, X165, X166, pM_in_aag(X165, X166, T76))
pM_in_aag(T123, T124, T76) → U16_aag(T123, T124, T76, delH_in_aag(T123, T124, T76))
delH_in_aag(X288, cons(X288, T130), T130) → delH_out_aag(X288, cons(X288, T130), T130)
delH_in_aag(X308, cons(T135, X310), cons(T135, T137)) → U6_aag(X308, T135, X310, T137, delH_in_aag(X308, X310, T137))
U6_aag(X308, T135, X310, T137, delH_out_aag(X308, X310, T137)) → delH_out_aag(X308, cons(T135, X310), cons(T135, T137))
U16_aag(T123, T124, T76, delH_out_aag(T123, T124, T76)) → U17_aag(T123, T124, T76, confF_in_g(T124))
U17_aag(T123, T124, T76, confF_out_g(T124)) → pM_out_aag(T123, T124, T76)
U15_gaaa(T74, T76, X165, X166, pM_out_aag(X165, X166, T76)) → pG_out_gaaa(T74, T76, X165, X166)
U5_g(T74, pG_out_gaaa(T74, X164, X165, X166)) → confF_out_g(T74)
U13_aag(T53, T54, T47, confF_out_g(T54)) → pL_out_aag(T53, T54, T47)
U11_agaaa(T46, T17, T47, X4, X5, pL_out_aag(X4, X5, T47)) → pK_out_agaaa(T46, T17, T47, X4, X5)
U9_agaaaaa(T16, T11, T17, X25, X26, X4, X5, pK_out_agaaa(X25, T17, X26, X4, X5)) → pB_out_agaaaaa(T16, T11, T17, X25, X26, X4, X5)
U1_g(T11, pB_out_agaaaaa(X23, T11, X24, X25, X26, X4, X5)) → confA_out_g(T11)
DELC_IN_AGA(X70, cons(T36, T37), cons(T36, X71)) → DELC_IN_AGA(X70, T37, X71)
DELC_IN_AGA(cons(T37)) → DELC_IN_AGA(T37)
From the DPs we obtained the following set of size-change graphs: