0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n003.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Wed Jul 30 06:59:34 EDT 2025 0.11/0.33 % CPUTime : 0.11/0.35 This is a TFF_ problem 0.11/0.35 Running first-order theorem proving 0.11/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.40 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.40 % (9073)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.20/0.40 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.40 % (9076)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi) 0.20/0.41 % (9073)Instruction limit reached! 0.20/0.41 % (9073)------------------------------ 0.20/0.41 % (9073)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.41 % (9073)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.41 % (9073)Termination reason: Time limit 0.20/0.41 % (9073)Termination phase: Preprocessing 1 0.20/0.41 0.20/0.41 % (9073)Memory used [KB]: 828 0.20/0.41 % (9073)Time elapsed: 0.003 s 0.20/0.41 % (9073)Instructions burned: 3 (million) 0.20/0.41 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.41 % (9074)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.20/0.41 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.41 % (9070)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/59848Mi) 0.20/0.42 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (9071)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/34Mi) 0.20/0.42 % (9076)Instruction limit reached! 0.20/0.42 % (9076)------------------------------ 0.20/0.42 % (9076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.42 % (9076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.42 % (9076)Termination reason: Time limit 0.20/0.42 % (9076)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (9076)Memory used [KB]: 1331 0.20/0.42 % (9076)Time elapsed: 0.018 s 0.20/0.42 % (9076)Instructions burned: 32 (million) 0.20/0.42 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (9075)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi) 0.20/0.42 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (9072)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/8Mi) 0.20/0.43 % (9074)Instruction limit reached! 0.20/0.43 % (9074)------------------------------ 0.20/0.43 % (9074)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (9074)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (9074)Termination reason: Time limit 0.20/0.43 % (9074)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (9074)Memory used [KB]: 1376 0.20/0.43 % (9074)Time elapsed: 0.020 s 0.20/0.43 % (9074)Instructions burned: 37 (million) 0.20/0.43 % (9072)Instruction limit reached! 0.20/0.43 % (9072)------------------------------ 0.20/0.43 % (9072)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (9072)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (9072)Termination reason: Time limit 0.20/0.43 % (9072)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (9072)Memory used [KB]: 901 0.20/0.43 % (9072)Time elapsed: 0.006 s 0.20/0.43 % (9072)Instructions burned: 8 (million) 0.20/0.43 % (9075)Instruction limit reached! 0.20/0.43 % (9075)------------------------------ 0.20/0.43 % (9075)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (9075)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (9075)Termination reason: Time limit 0.20/0.43 % (9075)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (9075)Memory used [KB]: 1008 0.20/0.43 % (9075)Time elapsed: 0.013 s 0.20/0.43 % (9075)Instructions burned: 15 (million) 0.20/0.43 % (9071)Instruction limit reached! 0.20/0.43 % (9071)------------------------------ 0.20/0.43 % (9071)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (9071)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (9071)Termination reason: Time limit 0.20/0.43 % (9071)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (9071)Memory used [KB]: 1161 0.20/0.43 % (9071)Time elapsed: 0.019 s 0.20/0.43 % (9071)Instructions burned: 35 (million) 0.20/0.45 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.45 % (9077)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/36Mi) 0.20/0.47 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.47 % (9080)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/35Mi) 0.20/0.47 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.47 % (9078)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/26Mi) 0.20/0.47 % (9077)Instruction limit reached! 0.20/0.47 % (9077)------------------------------ 0.20/0.47 % (9077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.47 % (9077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.47 % (9077)Termination reason: Time limit 0.20/0.47 % (9077)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (9077)Memory used [KB]: 1253 0.20/0.47 % (9077)Time elapsed: 0.020 s 0.20/0.47 % (9077)Instructions burned: 36 (million) 0.20/0.47 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.47 % (9079)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.20/0.48 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.48 % (9081)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/4Mi) 0.20/0.48 % (9079)Instruction limit reached! 0.20/0.48 % (9079)------------------------------ 0.20/0.48 % (9079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.48 % (9079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.48 % (9079)Termination reason: Time limit 0.20/0.48 % (9079)Termination phase: Preprocessing 3 0.20/0.48 0.20/0.48 % (9079)Memory used [KB]: 854 0.20/0.48 % (9079)Time elapsed: 0.003 s 0.20/0.48 % (9079)Instructions burned: 3 (million) 0.20/0.48 % (9081)Instruction limit reached! 0.20/0.48 % (9081)------------------------------ 0.20/0.48 % (9081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.48 % (9081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.48 % (9081)Termination reason: Time limit 0.20/0.48 % (9081)Termination phase: Function definition elimination 0.20/0.48 0.20/0.48 % (9081)Memory used [KB]: 878 0.20/0.48 % (9081)Time elapsed: 0.004 s 0.20/0.48 % (9081)Instructions burned: 5 (million) 0.20/0.48 % (9078)Instruction limit reached! 0.20/0.48 % (9078)------------------------------ 0.20/0.48 % (9078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.48 % (9078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.48 % (9078)Termination reason: Time limit 0.20/0.48 % (9078)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (9078)Memory used [KB]: 1242 0.20/0.48 % (9078)Time elapsed: 0.014 s 0.20/0.48 % (9078)Instructions burned: 27 (million) 0.20/0.48 % (9080)Instruction limit reached! 0.20/0.48 % (9080)------------------------------ 0.20/0.48 % (9080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.48 % (9080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.48 % (9080)Termination reason: Time limit 0.20/0.48 % (9080)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (9080)Memory used [KB]: 1344 0.20/0.48 % (9080)Time elapsed: 0.016 s 0.20/0.48 % (9080)Instructions burned: 36 (million) 0.20/0.49 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.49 % (9082)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.20/0.49 % (9082)Instruction limit reached! 0.20/0.49 % (9082)------------------------------ 0.20/0.49 % (9082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.49 % (9082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.49 % (9082)Termination reason: Time limit 0.20/0.49 % (9082)Termination phase: Unused predicate definition removal 0.20/0.49 0.20/0.49 % (9082)Memory used [KB]: 835 0.20/0.49 % (9082)Time elapsed: 0.003 s 0.20/0.49 % (9082)Instructions burned: 3 (million) 0.20/0.51 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.51 % (9084)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/50Mi) 0.20/0.52 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.52 % (9086)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/2Mi) 0.20/0.52 % (9086)Instruction limit reached! 0.20/0.52 % (9086)------------------------------ 0.20/0.52 % (9086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.52 % (9086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.52 % (9086)Termination reason: Time limit 0.20/0.52 % (9086)Termination phase: Preprocessing 1 0.20/0.52 0.20/0.52 % (9086)Memory used [KB]: 827 0.20/0.52 % (9086)Time elapsed: 0.002 s 0.20/0.52 % (9086)Instructions burned: 2 (million) 0.20/0.52 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.52 % (9085)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/2Mi) 0.20/0.52 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.52 % (9083)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/21Mi) 0.20/0.52 % (9085)Instruction limit reached! 0.20/0.52 % (9085)------------------------------ 0.20/0.52 % (9085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.52 % (9085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.52 % (9085)Termination reason: Time limit 0.20/0.52 % (9085)Termination phase: Preprocessing 1 0.20/0.52 0.20/0.52 % (9085)Memory used [KB]: 826 0.20/0.52 % (9085)Time elapsed: 0.003 s 0.20/0.52 % (9085)Instructions burned: 3 (million) 0.20/0.53 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.53 % (9087)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/49Mi) 0.20/0.53 % (9083)Instruction limit reached! 0.20/0.53 % (9083)------------------------------ 0.20/0.53 % (9083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.53 % (9084)Instruction limit reached! 0.20/0.53 % (9084)------------------------------ 0.20/0.53 % (9084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.53 % (9084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.53 % (9084)Termination reason: Time limit 0.20/0.53 % (9084)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (9084)Memory used [KB]: 1336 0.20/0.53 % (9084)Time elapsed: 0.022 s 0.20/0.53 % (9084)Instructions burned: 50 (million) 0.20/0.53 % (9083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.53 % (9083)Termination reason: Time limit 0.20/0.53 % (9083)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (9083)Memory used [KB]: 1095 0.20/0.53 % (9083)Time elapsed: 0.013 s 0.20/0.53 % (9083)Instructions burned: 21 (million) 0.20/0.54 % (9087)Instruction limit reached! 0.20/0.54 % (9087)------------------------------ 0.20/0.54 % (9087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.54 % (9087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.54 % (9087)Termination reason: Time limit 0.20/0.54 % (9087)Termination phase: Saturation 0.20/0.54 0.20/0.54 % (9087)Memory used [KB]: 1401 0.20/0.54 % (9087)Time elapsed: 0.020 s 0.20/0.54 % (9087)Instructions burned: 50 (million) 0.20/0.55 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.55 % (9088)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/15Mi) 0.20/0.55 % (9088)Instruction limit reached! 0.20/0.55 % (9088)------------------------------ 0.20/0.55 % (9088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.55 % (9088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.55 % (9088)Termination reason: Time limit 0.20/0.55 % (9088)Termination phase: Saturation 0.20/0.55 0.20/0.55 % (9088)Memory used [KB]: 1106 0.20/0.55 % (9088)Time elapsed: 0.010 s 0.20/0.55 % (9088)Instructions burned: 16 (million) 0.20/0.56 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.56 % (9090)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/15Mi) 0.20/0.56 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.56 % (9089)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/2Mi) 0.20/0.57 % (9089)Instruction limit reached! 0.20/0.57 % (9089)------------------------------ 0.20/0.57 % (9089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.57 % (9089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.57 % (9089)Termination reason: Time limit 0.20/0.57 % (9089)Termination phase: shuffling 0.20/0.57 0.20/0.57 % (9089)Memory used [KB]: 754 0.20/0.57 % (9089)Time elapsed: 0.003 s 0.20/0.57 % (9089)Instructions burned: 2 (million) 0.20/0.57 % (9090)Instruction limit reached! 0.20/0.57 % (9090)------------------------------ 0.20/0.57 % (9090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.57 % (9090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.57 % (9090)Termination reason: Time limit 0.20/0.57 % (9090)Termination phase: Saturation 0.20/0.57 0.20/0.57 % (9090)Memory used [KB]: 1088 0.20/0.57 % (9090)Time elapsed: 0.007 s 0.20/0.57 % (9090)Instructions burned: 15 (million) 0.20/0.58 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.58 % (9093)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/50Mi) 0.20/0.58 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.58 % (9092)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/46Mi) 0.20/0.58 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.58 % (9091)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/21Mi) 0.20/0.59 % (9091)Instruction limit reached! 0.20/0.59 % (9091)------------------------------ 0.20/0.59 % (9091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.59 % (9091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.59 % (9091)Termination reason: Time limit 0.20/0.59 % (9091)Termination phase: Saturation 0.20/0.59 0.20/0.59 % (9091)Memory used [KB]: 1100 0.20/0.59 % (9091)Time elapsed: 0.012 s 0.20/0.59 % (9091)Instructions burned: 22 (million) 0.20/0.59 % (9093)Instruction limit reached! 0.20/0.59 % (9093)------------------------------ 0.20/0.59 % (9093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.59 % (9093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.59 % (9093)Termination reason: Time limit 0.20/0.59 % (9093)Termination phase: Saturation 0.20/0.59 0.20/0.59 % (9093)Memory used [KB]: 1380 0.20/0.59 % (9093)Time elapsed: 0.020 s 0.20/0.59 % (9093)Instructions burned: 51 (million) 0.20/0.60 % (9092)Instruction limit reached! 0.20/0.60 % (9092)------------------------------ 0.20/0.60 % (9092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.60 % (9092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.60 % (9092)Termination reason: Time limit 0.20/0.60 % (9092)Termination phase: Saturation 0.20/0.60 0.20/0.60 % (9092)Memory used [KB]: 1345 0.20/0.60 % (9092)Time elapsed: 0.024 s 0.20/0.60 % (9092)Instructions burned: 47 (million) 0.20/0.60 % (9069)Running in auto input_syntax mode. Trying TPTP 0.20/0.60 % (9094)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/47Mi) 1.79/0.61 % (9069)Running in auto input_syntax mode. Trying TPTP 1.79/0.61 % (9095)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/42Mi) 1.79/0.62 % (9069)Running in auto input_syntax mode. Trying TPTP 1.79/0.62 % (9096)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/43Mi) 1.88/0.63 % (9094)Instruction limit reached! 1.88/0.63 % (9094)------------------------------ 1.88/0.63 % (9094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.63 % (9094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.63 % (9094)Termination reason: Time limit 1.88/0.63 % (9094)Termination phase: Saturation 1.88/0.63 1.88/0.63 % (9094)Memory used [KB]: 1371 1.88/0.63 % (9094)Time elapsed: 0.029 s 1.88/0.63 % (9094)Instructions burned: 47 (million) 1.88/0.63 % (9096)Instruction limit reached! 1.88/0.63 % (9096)------------------------------ 1.88/0.63 % (9096)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.63 % (9096)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.63 % (9096)Termination reason: Time limit 1.88/0.63 % (9096)Termination phase: Saturation 1.88/0.63 1.88/0.63 % (9096)Memory used [KB]: 1365 1.88/0.63 % (9096)Time elapsed: 0.039 s 1.88/0.63 % (9096)Instructions burned: 44 (million) 1.88/0.64 % (9095)Instruction limit reached! 1.88/0.64 % (9095)------------------------------ 1.88/0.64 % (9095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.64 % (9095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.64 % (9095)Termination reason: Time limit 1.88/0.64 % (9095)Termination phase: Saturation 1.88/0.64 1.88/0.64 % (9095)Memory used [KB]: 1403 1.88/0.64 % (9095)Time elapsed: 0.024 s 1.88/0.64 % (9095)Instructions burned: 42 (million) 1.88/0.64 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.64 % (9097)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/21Mi) 1.88/0.65 % (9097)Instruction limit reached! 1.88/0.65 % (9097)------------------------------ 1.88/0.65 % (9097)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.65 % (9097)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.65 % (9097)Termination reason: Time limit 1.88/0.65 % (9097)Termination phase: Saturation 1.88/0.65 1.88/0.65 % (9097)Memory used [KB]: 1097 1.88/0.65 % (9097)Time elapsed: 0.013 s 1.88/0.65 % (9097)Instructions burned: 22 (million) 1.88/0.65 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.65 % (9098)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/21Mi) 1.88/0.66 % (9098)Instruction limit reached! 1.88/0.66 % (9098)------------------------------ 1.88/0.66 % (9098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.66 % (9098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.66 % (9098)Termination reason: Time limit 1.88/0.66 % (9098)Termination phase: Saturation 1.88/0.66 1.88/0.66 % (9098)Memory used [KB]: 1187 1.88/0.66 % (9098)Time elapsed: 0.044 s 1.88/0.66 % (9098)Instructions burned: 22 (million) 1.88/0.67 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.67 % (9101)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/47Mi) 1.88/0.67 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.67 % (9099)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/41Mi) 1.88/0.68 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.68 % (9100)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/15Mi) 1.88/0.69 % (9099)Instruction limit reached! 1.88/0.69 % (9099)------------------------------ 1.88/0.69 % (9099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.69 % (9099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.69 % (9099)Termination reason: Time limit 1.88/0.69 % (9099)Termination phase: Saturation 1.88/0.69 1.88/0.69 % (9099)Memory used [KB]: 1493 1.88/0.69 % (9099)Time elapsed: 0.068 s 1.88/0.69 % (9099)Instructions burned: 42 (million) 1.88/0.69 % (9069)Running in auto input_syntax mode. Trying TPTP 1.88/0.69 % (9102)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/25Mi) 1.88/0.69 % (9101)Instruction limit reached! 1.88/0.69 % (9101)------------------------------ 1.88/0.69 % (9101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.69 % (9101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.69 % (9101)Termination reason: Time limit 1.88/0.69 % (9101)Termination phase: Saturation 1.88/0.69 1.88/0.69 % (9101)Memory used [KB]: 1501 1.88/0.69 % (9101)Time elapsed: 0.025 s 1.88/0.69 % (9101)Instructions burned: 48 (million) 1.88/0.69 % (9100)Instruction limit reached! 1.88/0.69 % (9100)------------------------------ 1.88/0.69 % (9100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.88/0.69 % (9100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.88/0.69 % (9100)Termination reason: Time limit 1.88/0.69 % (9100)Termination phase: Saturation 1.88/0.69 1.88/0.69 % (9100)Memory used [KB]: 1103 1.88/0.69 % (9100)Time elapsed: 0.012 s 1.88/0.69 % (9100)Instructions burned: 15 (million) 2.27/0.70 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.70 % (9103)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/148Mi) 2.27/0.70 % (9102)Instruction limit reached! 2.27/0.70 % (9102)------------------------------ 2.27/0.70 % (9102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.27/0.70 % (9102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.27/0.70 % (9102)Termination reason: Time limit 2.27/0.70 % (9102)Termination phase: Saturation 2.27/0.70 2.27/0.70 % (9102)Memory used [KB]: 1110 2.27/0.70 % (9102)Time elapsed: 0.016 s 2.27/0.70 % (9102)Instructions burned: 26 (million) 2.27/0.71 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.71 % (9104)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/100Mi) 2.27/0.72 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.72 % (9105)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/76Mi) 2.27/0.73 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.73 % (9106)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/58Mi) 2.27/0.74 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.74 % (9107)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/96Mi) 2.27/0.74 % (9105)Instruction limit reached! 2.27/0.74 % (9105)------------------------------ 2.27/0.74 % (9105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.27/0.74 % (9105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.27/0.74 % (9105)Termination reason: Time limit 2.27/0.74 % (9105)Termination phase: Saturation 2.27/0.74 2.27/0.74 % (9105)Memory used [KB]: 2004 2.27/0.74 % (9105)Time elapsed: 0.047 s 2.27/0.74 % (9105)Instructions burned: 78 (million) 2.27/0.75 % (9106)Instruction limit reached! 2.27/0.75 % (9106)------------------------------ 2.27/0.75 % (9106)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.27/0.75 % (9106)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.27/0.75 % (9106)Termination reason: Time limit 2.27/0.75 % (9106)Termination phase: Saturation 2.27/0.75 2.27/0.75 % (9106)Memory used [KB]: 1514 2.27/0.75 % (9106)Time elapsed: 0.046 s 2.27/0.75 % (9106)Instructions burned: 59 (million) 2.27/0.75 % (9069)Running in auto input_syntax mode. Trying TPTP 2.27/0.75 % (9108)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/108Mi) 2.27/0.76 % (9104)Instruction limit reached! 2.27/0.76 % (9104)------------------------------ 2.27/0.76 % (9104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.27/0.76 % (9104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.27/0.76 % (9104)Termination reason: Time limit 2.27/0.76 % (9104)Termination phase: Saturation 2.27/0.76 2.27/0.76 % (9104)Memory used [KB]: 1968 2.27/0.76 % (9104)Time elapsed: 0.074 s 2.27/0.76 % (9104)Instructions burned: 100 (million) 2.27/0.77 % (9103)Refutation not found, non-redundant clauses discarded% (9103)------------------------------ 2.27/0.77 % (9103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.27/0.77 % (9103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.27/0.77 % (9103)Termination reason: Refutation not found, non-redundant clauses discarded 2.27/0.77 2.27/0.77 % (9103)Memory used [KB]: 1577 2.27/0.77 % (9103)Time elapsed: 0.074 s 2.27/0.77 % (9103)Instructions burned: 144 (million) 2.63/0.77 % (9103)------------------------------ 2.63/0.77 % (9103)------------------------------ 2.63/0.78 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.78 % (9109)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/463Mi) 2.63/0.79 % (9107)Instruction limit reached! 2.63/0.79 % (9107)------------------------------ 2.63/0.79 % (9107)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.63/0.79 % (9107)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.63/0.79 % (9107)Termination reason: Time limit 2.63/0.79 % (9107)Termination phase: Saturation 2.63/0.79 2.63/0.79 % (9107)Memory used [KB]: 1093 2.63/0.79 % (9107)Time elapsed: 0.051 s 2.63/0.79 % (9107)Instructions burned: 96 (million) 2.63/0.79 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.79 % (9110)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/494Mi) 2.63/0.81 % (9108)Instruction limit reached! 2.63/0.81 % (9108)------------------------------ 2.63/0.81 % (9108)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.63/0.81 % (9108)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.63/0.81 % (9108)Termination reason: Time limit 2.63/0.81 % (9108)Termination phase: Saturation 2.63/0.81 2.63/0.81 % (9108)Memory used [KB]: 1156 2.63/0.81 % (9108)Time elapsed: 0.054 s 2.63/0.81 % (9108)Instructions burned: 108 (million) 2.63/0.82 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.82 % (9111)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/223Mi) 2.63/0.83 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.83 % (9112)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/343Mi) 2.63/0.84 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.84 % (9113)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/488Mi) 2.63/0.86 % (9069)Running in auto input_syntax mode. Trying TPTP 2.63/0.86 % (9114)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/150Mi) 3.10/0.92 % (9109)Instruction limit reached! 3.10/0.92 % (9109)------------------------------ 3.10/0.92 % (9109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.10/0.92 % (9109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.10/0.92 % (9109)Termination reason: Time limit 3.10/0.92 % (9109)Termination phase: Saturation 3.10/0.92 3.10/0.92 % (9109)Memory used [KB]: 2054 3.10/0.92 % (9109)Time elapsed: 0.168 s 3.10/0.92 % (9109)Instructions burned: 464 (million) 3.10/0.93 % (9111)Instruction limit reached! 3.10/0.93 % (9111)------------------------------ 3.10/0.93 % (9111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.10/0.93 % (9111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.10/0.93 % (9111)Termination reason: Time limit 3.10/0.93 % (9111)Termination phase: Saturation 3.10/0.93 3.10/0.93 % (9111)Memory used [KB]: 1784 3.10/0.93 % (9111)Time elapsed: 0.140 s 3.10/0.93 % (9111)Instructions burned: 224 (million) 3.10/0.93 % (9114)Instruction limit reached! 3.10/0.93 % (9114)------------------------------ 3.10/0.93 % (9114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.10/0.93 % (9114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.10/0.93 % (9114)Termination reason: Time limit 3.10/0.93 % (9114)Termination phase: Saturation 3.10/0.93 3.10/0.93 % (9114)Memory used [KB]: 1132 3.10/0.93 % (9114)Time elapsed: 0.074 s 3.10/0.93 % (9114)Instructions burned: 150 (million) 3.10/0.93 % (9110)Instruction limit reached! 3.10/0.93 % (9110)------------------------------ 3.10/0.93 % (9110)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.10/0.93 % (9110)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.10/0.93 % (9110)Termination reason: Time limit 3.10/0.93 % (9110)Termination phase: Saturation 3.10/0.93 3.10/0.93 % (9110)Memory used [KB]: 3210 3.10/0.93 % (9110)Time elapsed: 0.171 s 3.10/0.93 % (9110)Instructions burned: 496 (million) 3.10/0.96 % (9069)Running in auto input_syntax mode. Trying TPTP 3.10/0.96 % (9115)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/160Mi) 3.10/0.98 % (9069)Running in auto input_syntax mode. Trying TPTP 3.10/0.98 % (9118)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/81Mi) 3.10/0.98 % (9069)Running in auto input_syntax mode. Trying TPTP 3.10/0.98 % (9117)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/493Mi) 3.10/0.98 % (9069)Running in auto input_syntax mode. Trying TPTP 3.10/0.98 % (9116)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/370Mi) 3.10/0.98 % (9112)Instruction limit reached! 3.10/0.98 % (9112)------------------------------ 3.10/0.98 % (9112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.10/0.98 % (9112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.10/0.98 % (9112)Termination reason: Time limit 3.10/0.98 % (9112)Termination phase: Saturation 3.10/0.98 3.10/0.98 % (9112)Memory used [KB]: 2511 3.10/0.98 % (9112)Time elapsed: 0.157 s 3.10/0.98 % (9112)Instructions burned: 344 (million) 4.04/1.01 % (9118)Instruction limit reached! 4.04/1.01 % (9118)------------------------------ 4.04/1.01 % (9118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.04/1.01 % (9118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.04/1.01 % (9118)Termination reason: Time limit 4.04/1.01 % (9118)Termination phase: Saturation 4.04/1.01 4.04/1.01 % (9118)Memory used [KB]: 1524 4.04/1.01 % (9118)Time elapsed: 0.031 s 4.04/1.01 % (9118)Instructions burned: 81 (million) 4.04/1.01 % (9113)Instruction limit reached! 4.04/1.01 % (9113)------------------------------ 4.04/1.01 % (9113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.04/1.01 % (9113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.04/1.01 % (9113)Termination reason: Time limit 4.04/1.01 % (9113)Termination phase: Saturation 4.04/1.01 4.04/1.01 % (9113)Memory used [KB]: 1897 4.04/1.01 % (9113)Time elapsed: 0.175 s 4.04/1.01 % (9113)Instructions burned: 489 (million) 4.04/1.01 % (9115)Instruction limit reached! 4.04/1.01 % (9115)------------------------------ 4.04/1.01 % (9115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.04/1.01 % (9115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.04/1.01 % (9115)Termination reason: Time limit 4.04/1.01 % (9115)Termination phase: Saturation 4.04/1.01 4.04/1.01 % (9115)Memory used [KB]: 1166 4.04/1.01 % (9115)Time elapsed: 0.056 s 4.04/1.01 % (9115)Instructions burned: 160 (million) 4.04/1.04 % (9069)Running in auto input_syntax mode. Trying TPTP 4.04/1.04 % (9120)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/211Mi) 4.04/1.04 % (9069)Running in auto input_syntax mode. Trying TPTP 4.04/1.04 % (9119)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/146Mi) 4.04/1.05 % (9069)Running in auto input_syntax mode. Trying TPTP 4.04/1.05 % (9122)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/330Mi) 4.04/1.06 % (9069)Running in auto input_syntax mode. Trying TPTP 4.04/1.06 % (9121)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/274Mi) 4.50/1.11 % (9120)Instruction limit reached! 4.50/1.11 % (9120)------------------------------ 4.50/1.11 % (9120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.50/1.11 % (9120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.50/1.11 % (9120)Termination reason: Time limit 4.50/1.11 % (9120)Termination phase: Saturation 4.50/1.11 4.50/1.11 % (9120)Memory used [KB]: 2832 4.50/1.11 % (9120)Time elapsed: 0.067 s 4.50/1.11 % (9120)Instructions burned: 213 (million) 4.50/1.12 % (9119)Instruction limit reached! 4.50/1.12 % (9119)------------------------------ 4.50/1.12 % (9119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.50/1.12 % (9119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.50/1.12 % (9119)Termination reason: Time limit 4.50/1.12 % (9119)Termination phase: Saturation 4.50/1.12 4.50/1.12 % (9119)Memory used [KB]: 1134 4.50/1.12 % (9119)Time elapsed: 0.080 s 4.50/1.12 % (9119)Instructions burned: 147 (million) 4.50/1.14 % (9069)Running in auto input_syntax mode. Trying TPTP 4.50/1.14 % (9123)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (1192ds/294Mi) 4.50/1.15 % (9117)First to succeed. 4.50/1.15 % (9122)Instruction limit reached! 4.50/1.15 % (9122)------------------------------ 4.50/1.15 % (9122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.50/1.15 % (9122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.50/1.15 % (9122)Termination reason: Time limit 4.50/1.15 % (9122)Termination phase: Saturation 4.50/1.15 4.50/1.15 % (9122)Memory used [KB]: 2252 4.50/1.15 % (9122)Time elapsed: 0.107 s 4.50/1.15 % (9122)Instructions burned: 331 (million) 4.50/1.15 % (9116)Instruction limit reached! 4.50/1.15 % (9116)------------------------------ 4.50/1.15 % (9116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.50/1.15 % (9116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.50/1.15 % (9116)Termination reason: Time limit 4.50/1.15 % (9116)Termination phase: Saturation 4.50/1.15 4.50/1.15 % (9116)Memory used [KB]: 1908 4.50/1.15 % (9116)Time elapsed: 0.176 s 4.50/1.15 % (9116)Instructions burned: 372 (million) 4.50/1.16 % (9117)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9069" 4.50/1.16 % (9069)Running in auto input_syntax mode. Trying TPTP 4.50/1.16 % (9117)Refutation found. Thanks to Tanya! 4.50/1.16 % SZS status Theorem for theBenchmark 4.50/1.16 % SZS output start Proof for theBenchmark 4.50/1.16 tff(type_def_5, type, uni: $tType). 4.50/1.16 tff(type_def_6, type, ty: $tType). 4.50/1.16 tff(type_def_7, type, bool1: $tType). 4.50/1.16 tff(type_def_8, type, tuple02: $tType). 4.50/1.16 tff(type_def_9, type, array_int: $tType). 4.50/1.16 tff(type_def_10, type, map_int_int: $tType). 4.50/1.16 tff(func_def_0, type, witness1: ty > uni). 4.50/1.16 tff(func_def_1, type, int: ty). 4.50/1.16 tff(func_def_2, type, real: ty). 4.50/1.16 tff(func_def_3, type, bool: ty). 4.50/1.16 tff(func_def_4, type, true1: bool1). 4.50/1.16 tff(func_def_5, type, false1: bool1). 4.50/1.16 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 4.50/1.16 tff(func_def_7, type, tuple0: ty). 4.50/1.16 tff(func_def_8, type, tuple03: tuple02). 4.50/1.16 tff(func_def_9, type, qtmark: ty). 4.50/1.16 tff(func_def_10, type, ref: ty > ty). 4.50/1.16 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 4.50/1.16 tff(func_def_12, type, contents: (ty * uni) > uni). 4.50/1.16 tff(func_def_13, type, map: (ty * ty) > ty). 4.50/1.16 tff(func_def_14, type, get: (ty * ty * uni * uni) > uni). 4.50/1.16 tff(func_def_15, type, set: (ty * ty * uni * uni * uni) > uni). 4.50/1.16 tff(func_def_16, type, const: (ty * ty * uni) > uni). 4.50/1.16 tff(func_def_17, type, array: ty > ty). 4.50/1.16 tff(func_def_18, type, mk_array1: (ty * $int * uni) > uni). 4.50/1.16 tff(func_def_19, type, length1: (ty * uni) > $int). 4.50/1.16 tff(func_def_20, type, elts: (ty * uni) > uni). 4.50/1.16 tff(func_def_21, type, get2: (ty * uni * $int) > uni). 4.50/1.16 tff(func_def_22, type, t2tb: $int > uni). 4.50/1.16 tff(func_def_23, type, tb2t: uni > $int). 4.50/1.16 tff(func_def_24, type, set2: (ty * uni * $int * uni) > uni). 4.50/1.16 tff(func_def_25, type, make1: (ty * $int * uni) > uni). 4.50/1.16 tff(func_def_26, type, t2tb1: array_int > uni). 4.50/1.16 tff(func_def_27, type, tb2t1: uni > array_int). 4.50/1.16 tff(func_def_28, type, t2tb2: map_int_int > uni). 4.50/1.16 tff(func_def_29, type, tb2t2: uni > map_int_int). 4.50/1.16 tff(func_def_34, type, sK0: $int). 4.50/1.16 tff(func_def_35, type, sK1: map_int_int). 4.50/1.16 tff(func_def_36, type, sK2: $int). 4.50/1.16 tff(func_def_37, type, sK3: $int). 4.50/1.16 tff(func_def_38, type, sK4: $int). 4.50/1.16 tff(func_def_39, type, sK5: ($int * $int * array_int * $int) > $int). 4.50/1.16 tff(pred_def_1, type, sort1: (ty * uni) > $o). 4.50/1.16 tff(pred_def_2, type, is_common_prefix1: (array_int * $int * $int * $int) > $o). 4.50/1.16 tff(pred_def_3, type, is_longest_common_prefix1: (array_int * $int * $int * $int) > $o). 4.50/1.16 tff(pred_def_4, type, lt1: (array_int * $int * $int) > $o). 4.50/1.16 tff(f1223,plain,( 4.50/1.16 $false), 4.50/1.16 inference(avatar_smt_refutation,[],[f170,f175,f180,f185,f190,f195,f200,f205,f210,f215,f241,f245,f249,f257,f258,f262,f263,f267,f271,f275,f279,f283,f287,f288,f292,f296,f321,f333,f340,f355,f360,f368,f386,f410,f429,f457,f461,f462,f466,f470,f471,f472,f474,f490,f494,f499,f503,f504,f505,f506,f507,f529,f533,f534,f538,f542,f543,f544,f546,f567,f572,f576,f577,f578,f582,f583,f584,f626,f630,f634,f638,f642,f661,f665,f669,f673,f682,f700,f710,f721,f862,f864,f868,f869,f873,f874,f878,f879,f898,f899,f903,f907,f911,f912,f913,f914,f934,f938,f942,f943,f947,f949,f950,f951,f969,f973,f977,f978,f983,f984,f985,f986,f1100,f1106,f1111,f1113,f1120,f1126,f1128,f1130,f1162,f1167,f1170,f1175,f1177,f1183,f1185,f1188,f1222])). 4.50/1.16 tff(f1222,plain,( 4.50/1.16 spl6_67 | spl6_95 | spl6_96 | spl6_66 | ~spl6_18 | ~spl6_31 | spl6_39), 4.50/1.16 inference(avatar_split_clause,[],[f1213,f426,f337,f265,f689,f1219,f1215,f693])). 4.50/1.16 tff(f693,plain,( 4.50/1.16 spl6_67 <=> $less(0,$sum(sK3,$uminus(sK3)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 4.50/1.16 tff(f1215,plain,( 4.50/1.16 spl6_95 <=> $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_95])])). 4.50/1.16 tff(f1219,plain,( 4.50/1.16 spl6_96 <=> $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 4.50/1.16 tff(f689,plain,( 4.50/1.16 spl6_66 <=> $less(0,$sum($sum(sK2,sK4),$uminus(sK3)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_66])])). 4.50/1.16 tff(f265,plain,( 4.50/1.16 spl6_18 <=> ! [X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(sK0,sK5(X1,sK4,X0,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(X1,sK4,X0,sK0))))) | is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])). 4.50/1.16 tff(f337,plain,( 4.50/1.16 spl6_31 <=> is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4)), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])). 4.50/1.16 tff(f426,plain,( 4.50/1.16 spl6_39 <=> is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4)), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])). 4.50/1.16 tff(f1213,plain,( 4.50/1.16 $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4))) | $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$sum(sK3,$uminus(sK3))) | (~spl6_18 | ~spl6_31 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f1212,f126])). 4.50/1.16 tff(f126,plain,( 4.50/1.16 ( ! [X2 : uni,X0 : ty,X1 : $int] : (length1(X0,mk_array1(X0,X1,X2)) = X1) )), 4.50/1.16 inference(cnf_transformation,[],[f91])). 4.50/1.16 tff(f91,plain,( 4.50/1.16 ! [X0 : ty,X1 : $int,X2 : uni] : length1(X0,mk_array1(X0,X1,X2)) = X1), 4.50/1.16 inference(rectify,[],[f60])). 4.50/1.16 tff(f60,plain,( 4.50/1.16 ! [X2 : ty,X0 : $int,X1 : uni] : length1(X2,mk_array1(X2,X0,X1)) = X0), 4.50/1.16 inference(rectify,[],[f35])). 4.50/1.16 tff(f35,axiom,( 4.50/1.16 ! [X6 : $int,X15 : uni,X0 : ty] : length1(X0,mk_array1(X0,X6,X15)) = X6), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f1212,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4))) | $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum(sK3,$uminus(sK3))) | (~spl6_18 | ~spl6_31 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f1211,f126])). 4.50/1.16 tff(f1211,plain,( 4.50/1.16 $less(0,$sum(sK3,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4))) | (~spl6_18 | ~spl6_31 | spl6_39)), 4.50/1.16 inference(subsumption_resolution,[],[f1208,f428])). 4.50/1.16 tff(f428,plain,( 4.50/1.16 ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | spl6_39), 4.50/1.16 inference(avatar_component_clause,[],[f426])). 4.50/1.16 tff(f1208,plain,( 4.50/1.16 $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4))) | is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK3,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | (~spl6_18 | ~spl6_31)), 4.50/1.16 inference(trivial_inequality_removal,[],[f1203])). 4.50/1.16 tff(f1203,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK3,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | $less(0,$sum($sum(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0),1),$uminus(sK4))) | $less(0,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | (~spl6_18 | ~spl6_31)), 4.50/1.16 inference(superposition,[],[f604,f842])). 4.50/1.16 tff(f842,plain,( 4.50/1.16 ( ! [X0 : $int] : (get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0))) = get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))) | $less(0,$sum($sum(X0,1),$uminus(sK4))) | $less(0,$uminus(X0))) ) | ~spl6_31), 4.50/1.16 inference(forward_demodulation,[],[f840,f117])). 4.50/1.16 tff(f117,plain,( 4.50/1.16 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )), 4.50/1.16 inference(cnf_transformation,[],[f63])). 4.50/1.16 tff(f63,plain,( 4.50/1.16 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 4.50/1.16 inference(rectify,[],[f32])). 4.50/1.16 tff(f32,axiom,( 4.50/1.16 ! [X18 : uni] : t2tb(tb2t(X18)) = X18), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f840,plain,( 4.50/1.16 ( ! [X0 : $int] : ($less(0,$uminus(X0)) | $less(0,$sum($sum(X0,1),$uminus(sK4))) | get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))) = t2tb(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))))) ) | ~spl6_31), 4.50/1.16 inference(superposition,[],[f117,f392])). 4.50/1.16 tff(f392,plain,( 4.50/1.16 ( ! [X0 : $int] : (tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))) = tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0)))) | $less(0,$uminus(X0)) | $less(0,$sum($sum(X0,1),$uminus(sK4)))) ) | ~spl6_31), 4.50/1.16 inference(forward_demodulation,[],[f348,f121])). 4.50/1.16 tff(f121,plain,( 4.50/1.16 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 4.50/1.16 inference(cnf_transformation,[],[f56])). 4.50/1.16 tff(f56,plain,( 4.50/1.16 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 4.50/1.16 inference(rectify,[],[f39])). 4.50/1.16 tff(f39,axiom,( 4.50/1.16 ! [X18 : uni] : t2tb1(tb2t1(X18)) = X18), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f348,plain,( 4.50/1.16 ( ! [X0 : $int] : ($less(0,$sum($sum(X0,1),$uminus(sK4))) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,X0)))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,X0)))) | $less(0,$uminus(X0))) ) | ~spl6_31), 4.50/1.16 inference(resolution,[],[f339,f156])). 4.50/1.16 tff(f156,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : ($less(0,$uminus(X4)) | $less(0,$sum($sum(X4,1),$uminus(X1))) | ~is_common_prefix1(X2,X3,X0,X1) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X0,X4))))) )), 4.50/1.16 inference(evaluation,[],[f143])). 4.50/1.16 tff(f143,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : ($less(X4,0) | ~$less(X4,X1) | ~is_common_prefix1(X2,X3,X0,X1) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X0,X4))))) )), 4.50/1.16 inference(definition_unfolding,[],[f131,f136,f136])). 4.50/1.16 tff(f136,plain,( 4.50/1.16 ( ! [X2 : ty,X0 : uni,X1 : $int] : (get2(X2,X0,X1) = get(X2,int,elts(X2,X0),t2tb(X1))) )), 4.50/1.16 inference(cnf_transformation,[],[f62])). 4.50/1.16 tff(f62,plain,( 4.50/1.16 ! [X0 : uni,X1 : $int,X2 : ty] : get2(X2,X0,X1) = get(X2,int,elts(X2,X0),t2tb(X1))), 4.50/1.16 inference(rectify,[],[f28])). 4.50/1.16 tff(f28,axiom,( 4.50/1.16 ! [X11 : uni,X9 : $int,X0 : ty] : get2(X0,X11,X9) = get(X0,int,elts(X0,X11),t2tb(X9))), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f131,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t(get2(int,t2tb1(X2),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X2),$sum(X0,X4))) | ~$less(X4,X1) | $less(X4,0) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.16 inference(cnf_transformation,[],[f97])). 4.50/1.16 tff(f97,plain,( 4.50/1.16 ! [X0 : $int,X1 : $int,X2 : array_int,X3 : $int] : (((~$less(length1(int,t2tb1(X2)),$sum(X0,X1)) & ~$less(length1(int,t2tb1(X2)),$sum(X3,X1)) & ~$less(X1,0) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X2),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X2),$sum(X0,X4))) | ~$less(X4,X1) | $less(X4,0))) | ~is_common_prefix1(X2,X3,X0,X1)) & (is_common_prefix1(X2,X3,X0,X1) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | $less(length1(int,t2tb1(X2)),$sum(X3,X1)) | $less(X1,0) | (tb2t(get2(int,t2tb1(X2),$sum(X3,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X2),$sum(X0,sK5(X0,X1,X2,X3)))) & $less(sK5(X0,X1,X2,X3),X1) & ~$less(sK5(X0,X1,X2,X3),0))))), 4.50/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f95,f96])). 4.50/1.16 tff(f96,plain,( 4.50/1.16 ! [X0 : $int,X1 : $int,X2 : array_int,X3 : $int] : (? [X5 : $int] : (tb2t(get2(int,t2tb1(X2),$sum(X3,X5))) != tb2t(get2(int,t2tb1(X2),$sum(X0,X5))) & $less(X5,X1) & ~$less(X5,0)) => (tb2t(get2(int,t2tb1(X2),$sum(X3,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X2),$sum(X0,sK5(X0,X1,X2,X3)))) & $less(sK5(X0,X1,X2,X3),X1) & ~$less(sK5(X0,X1,X2,X3),0)))), 4.50/1.16 introduced(choice_axiom,[])). 4.50/1.16 tff(f95,plain,( 4.50/1.16 ! [X0 : $int,X1 : $int,X2 : array_int,X3 : $int] : (((~$less(length1(int,t2tb1(X2)),$sum(X0,X1)) & ~$less(length1(int,t2tb1(X2)),$sum(X3,X1)) & ~$less(X1,0) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X2),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X2),$sum(X0,X4))) | ~$less(X4,X1) | $less(X4,0))) | ~is_common_prefix1(X2,X3,X0,X1)) & (is_common_prefix1(X2,X3,X0,X1) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | $less(length1(int,t2tb1(X2)),$sum(X3,X1)) | $less(X1,0) | ? [X5 : $int] : (tb2t(get2(int,t2tb1(X2),$sum(X3,X5))) != tb2t(get2(int,t2tb1(X2),$sum(X0,X5))) & $less(X5,X1) & ~$less(X5,0))))), 4.50/1.16 inference(rectify,[],[f94])). 4.50/1.16 tff(f94,plain,( 4.50/1.16 ! [X2 : $int,X0 : $int,X1 : array_int,X3 : $int] : (((~$less(length1(int,t2tb1(X1)),$sum(X2,X0)) & ~$less(length1(int,t2tb1(X1)),$sum(X3,X0)) & ~$less(X0,0) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) | ~$less(X4,X0) | $less(X4,0))) | ~is_common_prefix1(X1,X3,X2,X0)) & (is_common_prefix1(X1,X3,X2,X0) | $less(length1(int,t2tb1(X1)),$sum(X2,X0)) | $less(length1(int,t2tb1(X1)),$sum(X3,X0)) | $less(X0,0) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) != tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) & $less(X4,X0) & ~$less(X4,0))))), 4.50/1.16 inference(flattening,[],[f93])). 4.50/1.16 tff(f93,plain,( 4.50/1.16 ! [X2 : $int,X0 : $int,X1 : array_int,X3 : $int] : (((~$less(length1(int,t2tb1(X1)),$sum(X2,X0)) & ~$less(length1(int,t2tb1(X1)),$sum(X3,X0)) & ~$less(X0,0) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) | ~$less(X4,X0) | $less(X4,0))) | ~is_common_prefix1(X1,X3,X2,X0)) & (is_common_prefix1(X1,X3,X2,X0) | ($less(length1(int,t2tb1(X1)),$sum(X2,X0)) | $less(length1(int,t2tb1(X1)),$sum(X3,X0)) | $less(X0,0) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) != tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) & $less(X4,X0) & ~$less(X4,0)))))), 4.50/1.16 inference(nnf_transformation,[],[f74])). 4.50/1.16 tff(f74,plain,( 4.50/1.16 ! [X2 : $int,X0 : $int,X1 : array_int,X3 : $int] : ((~$less(length1(int,t2tb1(X1)),$sum(X2,X0)) & ~$less(length1(int,t2tb1(X1)),$sum(X3,X0)) & ~$less(X0,0) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) | ~$less(X4,X0) | $less(X4,0))) <=> is_common_prefix1(X1,X3,X2,X0))), 4.50/1.16 inference(flattening,[],[f73])). 4.50/1.16 tff(f73,plain,( 4.50/1.16 ! [X3 : $int,X1 : array_int,X0 : $int,X2 : $int] : ((~$less(length1(int,t2tb1(X1)),$sum(X3,X0)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X2,X4))) | (~$less(X4,X0) | $less(X4,0))) & ~$less(X0,0) & ~$less(length1(int,t2tb1(X1)),$sum(X2,X0))) <=> is_common_prefix1(X1,X3,X2,X0))), 4.50/1.16 inference(ennf_transformation,[],[f58])). 4.50/1.16 tff(f58,plain,( 4.50/1.16 ! [X3 : $int,X1 : array_int,X0 : $int,X2 : $int] : ((~$less(length1(int,t2tb1(X1)),$sum(X3,X0)) & ! [X4 : $int] : (($less(X4,X0) & ~$less(X4,0)) => tb2t(get2(int,t2tb1(X1),$sum(X3,X4))) = tb2t(get2(int,t2tb1(X1),$sum(X2,X4)))) & ~$less(X0,0) & ~$less(length1(int,t2tb1(X1)),$sum(X2,X0))) <=> is_common_prefix1(X1,X3,X2,X0))), 4.50/1.16 inference(rectify,[],[f50])). 4.50/1.16 tff(f50,plain,( 4.50/1.16 ! [X8 : $int,X0 : array_int,X7 : $int,X1 : $int] : (is_common_prefix1(X0,X1,X7,X8) <=> (! [X9 : $int] : ((~$less(X9,0) & $less(X9,X8)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X9))) = tb2t(get2(int,t2tb1(X0),$sum(X7,X9)))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X8)) & ~$less(length1(int,t2tb1(X0)),$sum(X7,X8)) & ~$less(X8,0)))), 4.50/1.16 inference(theory_normalization,[],[f5])). 4.50/1.16 tff(f5,axiom,( 4.50/1.16 ! [X8 : $int,X0 : array_int,X7 : $int,X1 : $int] : (is_common_prefix1(X0,X1,X7,X8) <=> (! [X9 : $int] : (($lesseq(0,X9) & $less(X9,X8)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X9))) = tb2t(get2(int,t2tb1(X0),$sum(X7,X9)))) & $lesseq($sum(X1,X8),length1(int,t2tb1(X0))) & $lesseq($sum(X7,X8),length1(int,t2tb1(X0))) & $lesseq(0,X8)))), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f339,plain,( 4.50/1.16 is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4) | ~spl6_31), 4.50/1.16 inference(avatar_component_clause,[],[f337])). 4.50/1.16 tff(f604,plain,( 4.50/1.16 ( ! [X0 : uni,X1 : $int] : (tb2t(get(int,int,elts(int,X0),t2tb($sum(sK0,sK5(X1,sK4,tb2t1(X0),sK0))))) != tb2t(get(int,int,elts(int,X0),t2tb($sum(X1,sK5(X1,sK4,tb2t1(X0),sK0))))) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,X0)))) | $less(0,$sum(sK3,$uminus(length1(int,X0)))) | is_common_prefix1(tb2t1(X0),sK0,X1,sK4)) ) | ~spl6_18), 4.50/1.16 inference(superposition,[],[f266,f121])). 4.50/1.16 tff(f266,plain,( 4.50/1.16 ( ! [X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(sK0,sK5(X1,sK4,X0,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(X1,sK4,X0,sK0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,sK0,X1,sK4)) ) | ~spl6_18), 4.50/1.16 inference(avatar_component_clause,[],[f265])). 4.50/1.16 tff(f1188,plain,( 4.50/1.16 spl6_11 | spl6_94 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1187,f290,f1181,f235])). 4.50/1.16 tff(f235,plain,( 4.50/1.16 spl6_11 <=> $less(0,$uminus(sK4))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 4.50/1.16 tff(f1181,plain,( 4.50/1.16 spl6_94 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 4.50/1.16 tff(f290,plain,( 4.50/1.16 spl6_24 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | $less(0,$sum($sum(sK4,1),$uminus(X2))) | ~is_common_prefix1(X0,sK0,X1,X2))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 4.50/1.16 tff(f1187,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1134,f124])). 4.50/1.16 tff(f124,plain,( 4.50/1.16 ( ! [X0 : ty,X1 : uni] : (sort1(map(int,X0),elts(X0,X1))) )), 4.50/1.16 inference(cnf_transformation,[],[f30])). 4.50/1.16 tff(f30,axiom,( 4.50/1.16 ! [X0 : ty,X1 : uni] : sort1(map(int,X0),elts(X0,X1))), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f1134,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f805,f155])). 4.50/1.16 tff(f155,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_int] : ($less(0,$uminus(X2)) | ~is_common_prefix1(X1,X0,X3,$sum(X2,1)) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,X2)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X3,X2)))) | $less(0,$sum($sum($sum(X3,X2),1),$uminus(length1(int,t2tb1(X1))))) | $less(0,$sum($sum($sum(X0,X2),1),$uminus(length1(int,t2tb1(X1)))))) )), 4.50/1.16 inference(evaluation,[],[f141])). 4.50/1.16 tff(f141,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_int] : ($less(X2,0) | ~is_common_prefix1(X1,X0,X3,$sum(X2,1)) | tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X0,X2)))) = tb2t(get(int,int,elts(int,t2tb1(X1)),t2tb($sum(X3,X2)))) | ~$less($sum(X3,X2),length1(int,t2tb1(X1))) | ~$less($sum(X0,X2),length1(int,t2tb1(X1)))) )), 4.50/1.16 inference(definition_unfolding,[],[f118,f136,f136])). 4.50/1.16 tff(f118,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : array_int] : (~$less($sum(X3,X2),length1(int,t2tb1(X1))) | $less(X2,0) | ~$less($sum(X0,X2),length1(int,t2tb1(X1))) | ~is_common_prefix1(X1,X0,X3,$sum(X2,1)) | tb2t(get2(int,t2tb1(X1),$sum(X0,X2))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X2)))) )), 4.50/1.16 inference(cnf_transformation,[],[f89])). 4.50/1.16 tff(f89,plain,( 4.50/1.16 ! [X0 : $int,X1 : array_int,X2 : $int,X3 : $int] : (~$less($sum(X3,X2),length1(int,t2tb1(X1))) | $less(X2,0) | ~$less($sum(X0,X2),length1(int,t2tb1(X1))) | ~is_common_prefix1(X1,X0,X3,$sum(X2,1)) | tb2t(get2(int,t2tb1(X1),$sum(X0,X2))) = tb2t(get2(int,t2tb1(X1),$sum(X3,X2))))), 4.50/1.16 inference(rectify,[],[f79])). 4.50/1.16 tff(f79,plain,( 4.50/1.16 ! [X3 : $int,X0 : array_int,X2 : $int,X1 : $int] : (~$less($sum(X1,X2),length1(int,t2tb1(X0))) | $less(X2,0) | ~$less($sum(X3,X2),length1(int,t2tb1(X0))) | ~is_common_prefix1(X0,X3,X1,$sum(X2,1)) | tb2t(get2(int,t2tb1(X0),$sum(X3,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X1,X2))))), 4.50/1.16 inference(flattening,[],[f78])). 4.50/1.16 tff(f78,plain,( 4.50/1.16 ! [X3 : $int,X0 : array_int,X1 : $int,X2 : $int] : (~is_common_prefix1(X0,X3,X1,$sum(X2,1)) | (tb2t(get2(int,t2tb1(X0),$sum(X3,X2))) = tb2t(get2(int,t2tb1(X0),$sum(X1,X2))) | ~$less($sum(X3,X2),length1(int,t2tb1(X0))) | ~$less($sum(X1,X2),length1(int,t2tb1(X0))) | $less(X2,0)))), 4.50/1.16 inference(ennf_transformation,[],[f59])). 4.50/1.16 tff(f59,plain,( 4.50/1.16 ! [X3 : $int,X0 : array_int,X1 : $int,X2 : $int] : ((tb2t(get2(int,t2tb1(X0),$sum(X3,X2))) != tb2t(get2(int,t2tb1(X0),$sum(X1,X2))) & $less($sum(X3,X2),length1(int,t2tb1(X0))) & $less($sum(X1,X2),length1(int,t2tb1(X0))) & ~$less(X2,0)) => ~is_common_prefix1(X0,X3,X1,$sum(X2,1)))), 4.50/1.16 inference(rectify,[],[f46])). 4.50/1.16 tff(f46,plain,( 4.50/1.16 ! [X0 : array_int,X7 : $int,X8 : $int,X1 : $int] : ((~$less(X8,0) & $less($sum(X7,X8),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X8))) != tb2t(get2(int,t2tb1(X0),$sum(X7,X8))) & $less($sum(X1,X8),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X1,X7,$sum(X8,1)))), 4.50/1.16 inference(theory_normalization,[],[f29])). 4.50/1.16 tff(f29,axiom,( 4.50/1.16 ! [X0 : array_int,X7 : $int,X8 : $int,X1 : $int] : (($lesseq(0,X8) & $less($sum(X7,X8),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X8))) != tb2t(get2(int,t2tb1(X0),$sum(X7,X8))) & $less($sum(X1,X8),length1(int,t2tb1(X0)))) => ~is_common_prefix1(X0,X1,X7,$sum(X8,1)))), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f805,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : uni] : (tb2t(get(int,int,X1,t2tb($sum(X2,sK4)))) = tb2t(get(int,int,X1,t2tb(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,X0,X1)),sK0,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~sort1(map(int,int),X1)) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f475,f120])). 4.50/1.16 tff(f120,plain,( 4.50/1.16 ( ! [X2 : ty,X0 : $int,X1 : uni] : (~sort1(map(int,X2),X1) | elts(X2,mk_array1(X2,X0,X1)) = X1) )), 4.50/1.16 inference(cnf_transformation,[],[f75])). 4.50/1.16 tff(f75,plain,( 4.50/1.16 ! [X0 : $int,X1 : uni,X2 : ty] : (~sort1(map(int,X2),X1) | elts(X2,mk_array1(X2,X0,X1)) = X1)), 4.50/1.16 inference(ennf_transformation,[],[f65])). 4.50/1.16 tff(f65,plain,( 4.50/1.16 ! [X0 : $int,X1 : uni,X2 : ty] : (sort1(map(int,X2),X1) => elts(X2,mk_array1(X2,X0,X1)) = X1)), 4.50/1.16 inference(rectify,[],[f19])). 4.50/1.16 tff(f19,axiom,( 4.50/1.16 ! [X6 : $int,X15 : uni,X0 : ty] : (sort1(map(int,X0),X15) => elts(X0,mk_array1(X0,X6,X15)) = X15)), 4.50/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.16 tff(f475,plain,( 4.50/1.16 ( ! [X2 : $int,X0 : uni,X1 : $int] : (tb2t(get(int,int,elts(int,X0),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,X0),t2tb(sK3))) | ~is_common_prefix1(tb2t1(X0),sK0,X1,X2) | $less(0,$sum($sum(sK4,1),$uminus(X2)))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f291,f121])). 4.50/1.16 tff(f291,plain,( 4.50/1.16 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,sK0,X1,X2) | $less(0,$sum($sum(sK4,1),$uminus(X2)))) ) | ~spl6_24), 4.50/1.16 inference(avatar_component_clause,[],[f290])). 4.50/1.16 tff(f1185,plain,( 4.50/1.16 spl6_91 | spl6_11 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1184,f290,f235,f1160])). 4.50/1.16 tff(f1160,plain,( 4.50/1.16 spl6_91 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])). 4.50/1.16 tff(f1184,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),sK0,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X5)))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1139,f124])). 4.50/1.16 tff(f1139,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),sK0,X1,X5) | ~sort1(map(int,int),elts(int,t2tb1(X0)))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f156,f805])). 4.50/1.16 tff(f1183,plain,( 4.50/1.16 spl6_11 | spl6_94 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1179,f290,f1181,f235])). 4.50/1.16 tff(f1179,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1142,f124])). 4.50/1.16 tff(f1142,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f155,f805])). 4.50/1.16 tff(f1177,plain,( 4.50/1.16 spl6_93 | spl6_11 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1176,f290,f235,f1173])). 4.50/1.16 tff(f1173,plain,( 4.50/1.16 spl6_93 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_93])])). 4.50/1.16 tff(f1176,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1133,f124])). 4.50/1.16 tff(f1133,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4)) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f805,f155])). 4.50/1.16 tff(f1175,plain,( 4.50/1.16 spl6_93 | spl6_11 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1171,f290,f235,f1173])). 4.50/1.16 tff(f1171,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1141,f124])). 4.50/1.16 tff(f1141,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~sort1(map(int,int),elts(int,t2tb1(X0))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f155,f805])). 4.50/1.16 tff(f1170,plain,( 4.50/1.16 spl6_92 | spl6_11 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1169,f290,f235,f1165])). 4.50/1.16 tff(f1165,plain,( 4.50/1.16 spl6_92 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),sK0,X1,X5))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 4.50/1.16 tff(f1169,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | ~is_common_prefix1(X0,X1,X2,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5)))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1132,f124])). 4.50/1.16 tff(f1132,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X5)) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f805,f156])). 4.50/1.16 tff(f1167,plain,( 4.50/1.16 spl6_11 | spl6_92 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1163,f290,f1165,f235])). 4.50/1.16 tff(f1163,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),sK0,X1,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1140,f124])). 4.50/1.16 tff(f1140,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),sK0,X1,X5)) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f156,f805])). 4.50/1.16 tff(f1162,plain,( 4.50/1.16 spl6_91 | spl6_11 | ~spl6_24), 4.50/1.16 inference(avatar_split_clause,[],[f1158,f290,f235,f1160])). 4.50/1.16 tff(f1158,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X2,X1,X5) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4))) ) | ~spl6_24), 4.50/1.16 inference(subsumption_resolution,[],[f1131,f124])). 4.50/1.16 tff(f1131,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X2,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),sK0,X1,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.16 inference(superposition,[],[f805,f156])). 4.50/1.16 tff(f1130,plain,( 4.50/1.16 spl6_87 | spl6_11 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1129,f281,f235,f1098])). 4.50/1.16 tff(f1098,plain,( 4.50/1.16 spl6_87 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])). 4.50/1.16 tff(f281,plain,( 4.50/1.16 spl6_22 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X2))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,X1,sK0,X2))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 4.50/1.16 tff(f1129,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1083,f124])). 4.50/1.16 tff(f1083,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~sort1(map(int,int),elts(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f155,f776])). 4.50/1.16 tff(f776,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : uni] : (tb2t(get(int,int,X1,t2tb($sum(X2,sK4)))) = tb2t(get(int,int,X1,t2tb(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,X0,X1)),X2,sK0,X3) | ~sort1(map(int,int),X1) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f442,f120])). 4.50/1.16 tff(f442,plain,( 4.50/1.16 ( ! [X2 : $int,X0 : uni,X1 : $int] : (tb2t(get(int,int,elts(int,X0),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,X0),t2tb(sK3))) | $less(0,$sum($sum(sK4,1),$uminus(X2))) | ~is_common_prefix1(tb2t1(X0),X1,sK0,X2)) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f282,f121])). 4.50/1.16 tff(f282,plain,( 4.50/1.16 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | $less(0,$sum($sum(sK4,1),$uminus(X2))) | ~is_common_prefix1(X0,X1,sK0,X2)) ) | ~spl6_22), 4.50/1.16 inference(avatar_component_clause,[],[f281])). 4.50/1.16 tff(f1128,plain,( 4.50/1.16 spl6_90 | spl6_11 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1127,f281,f235,f1124])). 4.50/1.16 tff(f1124,plain,( 4.50/1.16 spl6_90 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])). 4.50/1.16 tff(f1127,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$uminus(sK4))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1084,f124])). 4.50/1.16 tff(f1084,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f155,f776])). 4.50/1.16 tff(f1126,plain,( 4.50/1.16 spl6_11 | spl6_90 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1122,f281,f1124,f235])). 4.50/1.16 tff(f1122,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1076,f124])). 4.50/1.16 tff(f1076,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f776,f155])). 4.50/1.16 tff(f1120,plain,( 4.50/1.16 spl6_11 | spl6_89 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1119,f281,f1109,f235])). 4.50/1.16 tff(f1109,plain,( 4.50/1.16 spl6_89 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_89])])). 4.50/1.16 tff(f1119,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),X1,sK0,X5) | ~is_common_prefix1(X0,X2,X1,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1081,f124])). 4.50/1.16 tff(f1081,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),X1,sK0,X5)) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f156,f776])). 4.50/1.16 tff(f1113,plain,( 4.50/1.16 spl6_88 | spl6_11 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1112,f281,f235,f1104])). 4.50/1.16 tff(f1104,plain,( 4.50/1.16 spl6_88 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X5) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X5))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 4.50/1.16 tff(f1112,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),X1,sK0,X5) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1082,f124])). 4.50/1.16 tff(f1082,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(tb2t1(mk_array1(int,X4,elts(int,t2tb1(X0)))),X1,sK0,X5) | ~is_common_prefix1(X0,X1,X2,X3)) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f156,f776])). 4.50/1.16 tff(f1111,plain,( 4.50/1.16 spl6_11 | spl6_89 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1107,f281,f1109,f235])). 4.50/1.16 tff(f1107,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X2,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1073,f124])). 4.50/1.16 tff(f1073,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | ~is_common_prefix1(X0,X2,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f776,f156])). 4.50/1.16 tff(f1106,plain,( 4.50/1.16 spl6_11 | spl6_88 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1102,f281,f1104,f235])). 4.50/1.16 tff(f1102,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | ~is_common_prefix1(X0,X1,X2,X5)) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1074,f124])). 4.50/1.16 tff(f1074,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X5) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4)) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f776,f156])). 4.50/1.16 tff(f1100,plain,( 4.50/1.16 spl6_87 | spl6_11 | ~spl6_22), 4.50/1.16 inference(avatar_split_clause,[],[f1096,f281,f235,f1098])). 4.50/1.16 tff(f1096,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4)) ) | ~spl6_22), 4.50/1.16 inference(subsumption_resolution,[],[f1075,f124])). 4.50/1.16 tff(f1075,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~sort1(map(int,int),elts(int,t2tb1(X0))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(tb2t1(mk_array1(int,X3,elts(int,t2tb1(X0)))),X1,sK0,X4) | $less(0,$uminus(sK4))) ) | ~spl6_22), 4.50/1.16 inference(superposition,[],[f776,f155])). 4.50/1.16 tff(f986,plain,( 4.50/1.16 spl6_11 | spl6_83 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f962,f501,f967,f235])). 4.50/1.16 tff(f967,plain,( 4.50/1.16 spl6_83 <=> ! [X2 : $int,X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_83])])). 4.50/1.16 tff(f501,plain,( 4.50/1.16 spl6_47 <=> ! [X2 : $int,X4 : $int,X0 : array_int,X3 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X3))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 4.50/1.16 tff(f962,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X3,X4) | ~is_common_prefix1(X0,X3,X1,X5)) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f155,f502])). 4.50/1.16 tff(f502,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_47), 4.50/1.16 inference(avatar_component_clause,[],[f501])). 4.50/1.16 tff(f985,plain,( 4.50/1.16 spl6_11 | spl6_84 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f960,f501,f971,f235])). 4.50/1.16 tff(f971,plain,( 4.50/1.16 spl6_84 <=> ! [X5 : $int,X3 : $int,X4 : $int,X0 : array_int,X6 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X6))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X3,X1,X5) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X2,X6))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 4.50/1.16 tff(f960,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,sK0,X4,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X4,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f156,f502])). 4.50/1.16 tff(f984,plain,( 4.50/1.16 spl6_86 | spl6_11 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f955,f501,f235,f981])). 4.50/1.16 tff(f981,plain,( 4.50/1.16 spl6_86 <=> ! [X5 : $int,X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])). 4.50/1.16 tff(f955,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,sK0,X3,X4) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f502,f155])). 4.50/1.16 tff(f983,plain,( 4.50/1.16 spl6_86 | spl6_11 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f961,f501,f235,f981])). 4.50/1.16 tff(f961,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,sK0,X3,X4)) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f155,f502])). 4.50/1.16 tff(f978,plain,( 4.50/1.16 spl6_11 | spl6_85 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f953,f501,f975,f235])). 4.50/1.16 tff(f975,plain,( 4.50/1.16 spl6_85 <=> ! [X6 : $int,X4 : $int,X3 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X4,X5) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(X0,X4,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_85])])). 4.50/1.16 tff(f953,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X3,X1,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X2,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,sK0,X3,X4)) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f502,f156])). 4.50/1.16 tff(f977,plain,( 4.50/1.16 spl6_11 | spl6_85 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f959,f501,f975,f235])). 4.50/1.16 tff(f959,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X4,X1,X6) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,sK0,X4,X5) | $less(0,$uminus(sK4))) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f156,f502])). 4.50/1.16 tff(f973,plain,( 4.50/1.16 spl6_11 | spl6_84 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f954,f501,f971,f235])). 4.50/1.16 tff(f954,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X6) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,sK0,X3,X4) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f502,f156])). 4.50/1.16 tff(f969,plain,( 4.50/1.16 spl6_11 | spl6_83 | ~spl6_47), 4.50/1.16 inference(avatar_split_clause,[],[f956,f501,f967,f235])). 4.50/1.16 tff(f956,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X3,X1,X5)) ) | ~spl6_47), 4.50/1.16 inference(superposition,[],[f502,f155])). 4.50/1.16 tff(f951,plain,( 4.50/1.16 spl6_11 | spl6_79 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f921,f497,f932,f235])). 4.50/1.16 tff(f932,plain,( 4.50/1.16 spl6_79 <=> ! [X2 : $int,X4 : $int,X0 : array_int,X5 : $int,X3 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,sK0,X3,X4) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,X3,X5) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_79])])). 4.50/1.16 tff(f497,plain,( 4.50/1.16 spl6_46 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(X0,sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 4.50/1.16 tff(f921,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X3,X5)) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f498,f155])). 4.50/1.16 tff(f498,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,X4) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,X3)) ) | ~spl6_46), 4.50/1.16 inference(avatar_component_clause,[],[f497])). 4.50/1.16 tff(f950,plain,( 4.50/1.16 spl6_82 | spl6_11 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f925,f497,f235,f945])). 4.50/1.16 tff(f945,plain,( 4.50/1.16 spl6_82 <=> ! [X5 : $int,X6 : $int,X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,sK0,X3,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X3,X5) | ~is_common_prefix1(X0,X1,X2,X6))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 4.50/1.16 tff(f925,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,sK0,X4,X5) | ~is_common_prefix1(X0,X1,X4,X6) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f156,f498])). 4.50/1.16 tff(f949,plain,( 4.50/1.16 spl6_81 | spl6_11 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f920,f497,f235,f940])). 4.50/1.16 tff(f940,plain,( 4.50/1.16 spl6_81 <=> ! [X2 : $int,X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X3,X5) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])). 4.50/1.16 tff(f920,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X3,X5) | ~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f498,f155])). 4.50/1.16 tff(f947,plain,( 4.50/1.16 spl6_82 | spl6_11 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f919,f497,f235,f945])). 4.50/1.16 tff(f919,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X6) | ~is_common_prefix1(X0,X1,X3,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f498,f156])). 4.50/1.16 tff(f943,plain,( 4.50/1.16 spl6_11 | spl6_80 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f918,f497,f936,f235])). 4.50/1.16 tff(f936,plain,( 4.50/1.16 spl6_80 <=> ! [X5 : $int,X6 : $int,X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(X0,sK0,X4,X5) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X1,X4,X6) | $less(0,$sum($sum(sK4,1),$uminus(X5))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 4.50/1.16 tff(f918,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,sK0,X3,X4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X1,X3,X5) | ~is_common_prefix1(X0,X2,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f498,f156])). 4.50/1.16 tff(f942,plain,( 4.50/1.16 spl6_81 | spl6_11 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f926,f497,f235,f940])). 4.50/1.16 tff(f926,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X3,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X3,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f155,f498])). 4.50/1.16 tff(f938,plain,( 4.50/1.16 spl6_11 | spl6_80 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f924,f497,f936,f235])). 4.50/1.16 tff(f924,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X4,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X4,X6) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X2,X1,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f156,f498])). 4.50/1.16 tff(f934,plain,( 4.50/1.16 spl6_11 | spl6_79 | ~spl6_46), 4.50/1.16 inference(avatar_split_clause,[],[f927,f497,f932,f235])). 4.50/1.16 tff(f927,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X3,X5) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,sK0,X3,X4)) ) | ~spl6_46), 4.50/1.16 inference(superposition,[],[f155,f498])). 4.50/1.16 tff(f914,plain,( 4.50/1.16 spl6_11 | spl6_78 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f882,f468,f909,f235])). 4.50/1.16 tff(f909,plain,( 4.50/1.16 spl6_78 <=> ! [X5 : $int,X3 : $int,X4 : $int,X0 : array_int,X6 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X4,X1,X6) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X4,sK0,X5))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 4.50/1.16 tff(f468,plain,( 4.50/1.16 spl6_43 <=> ! [X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])). 4.50/1.16 tff(f882,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X3,sK0,X4) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f469,f156])). 4.50/1.16 tff(f469,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,X4) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_43), 4.50/1.16 inference(avatar_component_clause,[],[f468])). 4.50/1.16 tff(f913,plain,( 4.50/1.16 spl6_11 | spl6_77 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f890,f468,f905,f235])). 4.50/1.16 tff(f905,plain,( 4.50/1.16 spl6_77 <=> ! [X2 : $int,X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X1 : $int] : (~is_common_prefix1(X0,X3,X1,X5) | ~is_common_prefix1(X0,X3,sK0,X4) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_77])])). 4.50/1.16 tff(f890,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,sK0,X4) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f155,f469])). 4.50/1.16 tff(f912,plain,( 4.50/1.16 spl6_11 | spl6_76 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f891,f468,f901,f235])). 4.50/1.16 tff(f901,plain,( 4.50/1.16 spl6_76 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,X3,X1,X5) | ~is_common_prefix1(X0,X3,sK0,X4) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 4.50/1.16 tff(f891,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,X3,sK0,X4)) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f155,f469])). 4.50/1.16 tff(f911,plain,( 4.50/1.16 spl6_78 | spl6_11 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f888,f468,f235,f909])). 4.50/1.16 tff(f888,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X4,sK0,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X4,X1,X6) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X2,X1,X3)) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f156,f469])). 4.50/1.16 tff(f907,plain,( 4.50/1.16 spl6_77 | spl6_11 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f884,f468,f235,f905])). 4.50/1.16 tff(f884,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X3,X1,X5) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,X3,sK0,X4)) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f469,f155])). 4.50/1.16 tff(f903,plain,( 4.50/1.16 spl6_76 | spl6_11 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f885,f468,f235,f901])). 4.50/1.16 tff(f885,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X3,sK0,X4) | ~is_common_prefix1(X0,X3,X1,X5) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f469,f155])). 4.50/1.16 tff(f899,plain,( 4.50/1.16 spl6_11 | spl6_75 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f883,f468,f896,f235])). 4.50/1.16 tff(f896,plain,( 4.50/1.16 spl6_75 <=> ! [X5 : $int,X3 : $int,X4 : $int,X0 : array_int,X6 : $int,X2 : $int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X4,X1,X6) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X4,sK0,X5))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_75])])). 4.50/1.16 tff(f883,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,X2,X6) | ~is_common_prefix1(X0,X3,X1,X5) | ~is_common_prefix1(X0,X3,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X5)))) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f469,f156])). 4.50/1.16 tff(f898,plain,( 4.50/1.16 spl6_11 | spl6_75 | ~spl6_43), 4.50/1.16 inference(avatar_split_clause,[],[f889,f468,f896,f235])). 4.50/1.16 tff(f889,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X4,sK0,X5) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X4,X1,X6)) ) | ~spl6_43), 4.50/1.16 inference(superposition,[],[f156,f469])). 4.50/1.16 tff(f879,plain,( 4.50/1.16 spl6_74 | spl6_11 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f848,f459,f235,f876])). 4.50/1.16 tff(f876,plain,( 4.50/1.16 spl6_74 <=> ! [X2 : $int,X4 : $int,X0 : array_int,X3 : $int,X5 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X3,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 4.50/1.16 tff(f459,plain,( 4.50/1.16 spl6_41 <=> ! [X2 : $int,X4 : $int,X0 : array_int,X3 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 4.50/1.16 tff(f848,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X3,X4) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f460,f155])). 4.50/1.16 tff(f460,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(X0,X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_41), 4.50/1.16 inference(avatar_component_clause,[],[f459])). 4.50/1.16 tff(f878,plain,( 4.50/1.16 spl6_11 | spl6_74 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f854,f459,f876,f235])). 4.50/1.16 tff(f854,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X3,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f155,f460])). 4.50/1.16 tff(f874,plain,( 4.50/1.16 spl6_73 | spl6_11 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f853,f459,f235,f871])). 4.50/1.16 tff(f871,plain,( 4.50/1.16 spl6_73 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X6 : $int,X5 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,X3,X4) | ~is_common_prefix1(X0,X1,X2,X6))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])). 4.50/1.16 tff(f853,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X4,sK0,X6) | ~is_common_prefix1(X0,X1,X4,X5) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f156,f460])). 4.50/1.16 tff(f873,plain,( 4.50/1.16 spl6_11 | spl6_73 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f847,f459,f871,f235])). 4.50/1.16 tff(f847,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,X6) | ~is_common_prefix1(X0,X1,X3,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X3,sK0,X5)) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f460,f156])). 4.50/1.16 tff(f869,plain,( 4.50/1.16 spl6_72 | spl6_11 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f846,f459,f235,f866])). 4.50/1.16 tff(f866,plain,( 4.50/1.16 spl6_72 <=> ! [X5 : $int,X6 : $int,X4 : $int,X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | ~is_common_prefix1(X0,X1,X4,X5) | ~is_common_prefix1(X0,X4,sK0,X6))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 4.50/1.16 tff(f846,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,sK0,X5) | ~is_common_prefix1(X0,X1,X3,X4) | ~is_common_prefix1(X0,X2,X1,X6) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f460,f156])). 4.50/1.16 tff(f868,plain,( 4.50/1.16 spl6_11 | spl6_72 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f852,f459,f866,f235])). 4.50/1.16 tff(f852,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (~is_common_prefix1(X0,X2,X1,X3) | ~is_common_prefix1(X0,X4,sK0,X6) | ~is_common_prefix1(X0,X1,X4,X5) | $less(0,$sum($sum(sK4,1),$uminus(X6))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f156,f460])). 4.50/1.16 tff(f864,plain,( 4.50/1.16 spl6_11 | spl6_71 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f855,f459,f860,f235])). 4.50/1.16 tff(f860,plain,( 4.50/1.16 spl6_71 <=> ! [X3 : $int,X4 : $int,X0 : array_int,X5 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X3,sK0,X5) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X3,X4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X4))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_71])])). 4.50/1.16 tff(f855,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X3,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4)))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f155,f460])). 4.50/1.16 tff(f862,plain,( 4.50/1.16 spl6_71 | spl6_11 | ~spl6_41), 4.50/1.16 inference(avatar_split_clause,[],[f849,f459,f235,f860])). 4.50/1.16 tff(f849,plain,( 4.50/1.16 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int,X5 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X3,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X3,sK0,X5) | $less(0,$sum($sum(sK4,1),$uminus(X5))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1))) ) | ~spl6_41), 4.50/1.16 inference(superposition,[],[f460,f155])). 4.50/1.16 tff(f721,plain,( 4.50/1.16 spl6_66 | spl6_11 | spl6_67 | ~spl6_70 | ~spl6_2 | spl6_39), 4.50/1.16 inference(avatar_split_clause,[],[f716,f426,f172,f718,f693,f235,f689])). 4.50/1.16 tff(f718,plain,( 4.50/1.16 spl6_70 <=> tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) = tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 4.50/1.16 tff(f172,plain,( 4.50/1.16 spl6_2 <=> sK3 = $sum(sK0,sK4)), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 4.50/1.16 tff(f716,plain,( 4.50/1.16 $less(0,$sum(sK3,$uminus(sK3))) | tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$uminus(sK4)) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f715,f126])). 4.50/1.16 tff(f715,plain,( 4.50/1.16 $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | $less(0,$sum(sK3,$uminus(sK3))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f714,f121])). 4.50/1.16 tff(f714,plain,( 4.50/1.16 tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | $less(0,$sum(sK3,$uminus(sK3))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f713,f121])). 4.50/1.16 tff(f713,plain,( 4.50/1.16 $less(0,$sum(sK3,$uminus(sK3))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f712,f174])). 4.50/1.16 tff(f174,plain,( 4.50/1.16 sK3 = $sum(sK0,sK4) | ~spl6_2), 4.50/1.16 inference(avatar_component_clause,[],[f172])). 4.50/1.16 tff(f712,plain,( 4.50/1.16 $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK0,sK4),$uminus(sK3))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f711,f126])). 4.50/1.16 tff(f711,plain,( 4.50/1.16 $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f674,f121])). 4.50/1.16 tff(f674,plain,( 4.50/1.16 $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))) | spl6_39), 4.50/1.16 inference(resolution,[],[f428,f154])). 4.50/1.16 tff(f154,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(0,$sum($sum(X3,X1),$uminus(length1(int,t2tb1(X2))))) | is_common_prefix1(X2,X3,X0,X1) | $less(0,$sum($sum(X0,X1),$uminus(length1(int,t2tb1(X2))))) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK5(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X0,sK5(X0,X1,X2,X3))))) | $less(0,$uminus(X1))) )), 4.50/1.16 inference(evaluation,[],[f144])). 4.50/1.16 tff(f144,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(length1(int,t2tb1(X2)),$sum(X3,X1)) | is_common_prefix1(X2,X3,X0,X1) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X3,sK5(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X2)),t2tb($sum(X0,sK5(X0,X1,X2,X3))))) | $less(X1,0)) )), 4.50/1.16 inference(definition_unfolding,[],[f130,f136,f136])). 4.50/1.16 tff(f130,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (is_common_prefix1(X2,X3,X0,X1) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | $less(length1(int,t2tb1(X2)),$sum(X3,X1)) | $less(X1,0) | tb2t(get2(int,t2tb1(X2),$sum(X3,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X2),$sum(X0,sK5(X0,X1,X2,X3))))) )), 4.50/1.16 inference(cnf_transformation,[],[f97])). 4.50/1.16 tff(f710,plain,( 4.50/1.16 spl6_69 | spl6_66 | spl6_67 | spl6_11 | ~spl6_2 | spl6_39), 4.50/1.16 inference(avatar_split_clause,[],[f705,f426,f172,f235,f693,f689,f707])). 4.50/1.16 tff(f707,plain,( 4.50/1.16 spl6_69 <=> $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_69])])). 4.50/1.16 tff(f705,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$sum(sK3,$uminus(sK3))) | $less(0,$uminus(sK4)) | $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f704,f174])). 4.50/1.16 tff(f704,plain,( 4.50/1.16 $less(0,$sum($sum(sK0,sK4),$uminus(sK3))) | $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f703,f126])). 4.50/1.16 tff(f703,plain,( 4.50/1.16 $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f702,f126])). 4.50/1.16 tff(f702,plain,( 4.50/1.16 $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$uminus(sK4)) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f701,f121])). 4.50/1.16 tff(f701,plain,( 4.50/1.16 $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f676,f121])). 4.50/1.16 tff(f676,plain,( 4.50/1.16 $less(0,$sum(sK4,$uminus(sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | spl6_39), 4.50/1.16 inference(resolution,[],[f428,f152])). 4.50/1.16 tff(f152,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(0,$sum($sum(X3,X1),$uminus(length1(int,t2tb1(X2))))) | $less(0,$sum(X1,$uminus(sK5(X0,X1,X2,X3)))) | $less(0,$sum($sum(X0,X1),$uminus(length1(int,t2tb1(X2))))) | $less(0,$uminus(X1)) | is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.16 inference(evaluation,[],[f129])). 4.50/1.16 tff(f129,plain,( 4.50/1.16 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(length1(int,t2tb1(X2)),$sum(X3,X1)) | $less(sK5(X0,X1,X2,X3),X1) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | $less(X1,0) | is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.16 inference(cnf_transformation,[],[f97])). 4.50/1.16 tff(f700,plain,( 4.50/1.16 spl6_11 | spl6_66 | spl6_67 | spl6_68 | ~spl6_2 | spl6_39), 4.50/1.16 inference(avatar_split_clause,[],[f687,f426,f172,f697,f693,f689,f235])). 4.50/1.16 tff(f697,plain,( 4.50/1.16 spl6_68 <=> $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0)))), 4.50/1.16 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 4.50/1.16 tff(f687,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$sum(sK3,$uminus(sK3))) | $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$uminus(sK4)) | (~spl6_2 | spl6_39)), 4.50/1.16 inference(forward_demodulation,[],[f686,f174])). 4.50/1.16 tff(f686,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK0,sK4),$uminus(sK3))) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f685,f126])). 4.50/1.16 tff(f685,plain,( 4.50/1.16 $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$uminus(sK4)) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f684,f121])). 4.50/1.16 tff(f684,plain,( 4.50/1.16 $less(0,$sum($sum(sK2,sK4),$uminus(sK3))) | $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK4)) | spl6_39), 4.50/1.16 inference(forward_demodulation,[],[f683,f126])). 4.50/1.16 tff(f683,plain,( 4.50/1.16 $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | spl6_39), 4.50/1.17 inference(forward_demodulation,[],[f675,f121])). 4.50/1.17 tff(f675,plain,( 4.50/1.17 $less(0,$sum(1,sK5(sK2,sK4,tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0))) | $less(0,$sum($sum(sK2,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK0,sK4),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | spl6_39), 4.50/1.17 inference(resolution,[],[f428,f153])). 4.50/1.17 tff(f153,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (is_common_prefix1(X2,X3,X0,X1) | $less(0,$sum(1,sK5(X0,X1,X2,X3))) | $less(0,$sum($sum(X0,X1),$uminus(length1(int,t2tb1(X2))))) | $less(0,$uminus(X1)) | $less(0,$sum($sum(X3,X1),$uminus(length1(int,t2tb1(X2)))))) )), 4.50/1.17 inference(evaluation,[],[f128])). 4.50/1.17 tff(f128,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (is_common_prefix1(X2,X3,X0,X1) | ~$less(sK5(X0,X1,X2,X3),0) | $less(length1(int,t2tb1(X2)),$sum(X0,X1)) | $less(X1,0) | $less(length1(int,t2tb1(X2)),$sum(X3,X1))) )), 4.50/1.17 inference(cnf_transformation,[],[f97])). 4.50/1.17 tff(f682,plain,( 4.50/1.17 ~spl6_65 | spl6_39), 4.50/1.17 inference(avatar_split_clause,[],[f677,f426,f679])). 4.50/1.17 tff(f679,plain,( 4.50/1.17 spl6_65 <=> is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4)), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_65])])). 4.50/1.17 tff(f677,plain,( 4.50/1.17 ~is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | spl6_39), 4.50/1.17 inference(resolution,[],[f428,f140])). 4.50/1.17 tff(f140,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : array_int,X0 : $int,X1 : $int] : (is_common_prefix1(X3,X2,X1,X0) | ~is_longest_common_prefix1(X3,X2,X1,X0)) )), 4.50/1.17 inference(cnf_transformation,[],[f99])). 4.50/1.17 tff(f99,plain,( 4.50/1.17 ! [X0 : $int,X1 : $int,X2 : $int,X3 : array_int] : (~is_longest_common_prefix1(X3,X2,X1,X0) | (is_common_prefix1(X3,X2,X1,X0) & ! [X4 : $int] : (~is_common_prefix1(X3,X2,X1,X4) | ~$less(X0,X4))))), 4.50/1.17 inference(rectify,[],[f82])). 4.50/1.17 tff(f82,plain,( 4.50/1.17 ! [X1 : $int,X0 : $int,X2 : $int,X3 : array_int] : (~is_longest_common_prefix1(X3,X2,X0,X1) | (is_common_prefix1(X3,X2,X0,X1) & ! [X4 : $int] : (~is_common_prefix1(X3,X2,X0,X4) | ~$less(X1,X4))))), 4.50/1.17 inference(ennf_transformation,[],[f70])). 4.50/1.17 tff(f70,plain,( 4.50/1.17 ! [X2 : $int,X3 : array_int,X1 : $int,X0 : $int] : (is_longest_common_prefix1(X3,X2,X0,X1) => (is_common_prefix1(X3,X2,X0,X1) & ! [X4 : $int] : ($less(X1,X4) => ~is_common_prefix1(X3,X2,X0,X4))))), 4.50/1.17 inference(unused_predicate_definition_removal,[],[f52])). 4.50/1.17 tff(f52,plain,( 4.50/1.17 ! [X2 : $int,X3 : array_int,X1 : $int,X0 : $int] : (is_longest_common_prefix1(X3,X2,X0,X1) <=> (is_common_prefix1(X3,X2,X0,X1) & ! [X4 : $int] : ($less(X1,X4) => ~is_common_prefix1(X3,X2,X0,X4))))), 4.50/1.17 inference(rectify,[],[f11])). 4.50/1.17 tff(f11,axiom,( 4.50/1.17 ! [X7 : $int,X8 : $int,X1 : $int,X0 : array_int] : (is_longest_common_prefix1(X0,X1,X7,X8) <=> (is_common_prefix1(X0,X1,X7,X8) & ! [X10 : $int] : ($less(X8,X10) => ~is_common_prefix1(X0,X1,X7,X10))))), 4.50/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.17 tff(f673,plain,( 4.50/1.17 spl6_11 | spl6_64 | ~spl6_21), 4.50/1.17 inference(avatar_split_clause,[],[f653,f277,f671,f235])). 4.50/1.17 tff(f671,plain,( 4.50/1.17 spl6_64 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,sK0,X1) | $less(0,$uminus(X1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 4.50/1.17 tff(f277,plain,( 4.50/1.17 spl6_21 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,sK0,X1) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 4.50/1.17 tff(f653,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | lt1(X0,sK0,X1) | $less(0,$uminus(sK4)) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_21), 4.50/1.17 inference(duplicate_literal_removal,[],[f652])). 4.50/1.17 tff(f652,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | lt1(X0,sK0,X1) | $less(0,$uminus(X1)) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_21), 4.50/1.17 inference(superposition,[],[f278,f155])). 4.50/1.17 tff(f278,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4))))))) | lt1(X0,sK0,X1) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1))) ) | ~spl6_21), 4.50/1.17 inference(avatar_component_clause,[],[f277])). 4.50/1.17 tff(f669,plain,( 4.50/1.17 spl6_63 | spl6_11 | ~spl6_21), 4.50/1.17 inference(avatar_split_clause,[],[f649,f277,f235,f667])). 4.50/1.17 tff(f667,plain,( 4.50/1.17 spl6_63 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$uminus(X1)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | lt1(X0,sK0,X1) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_63])])). 4.50/1.17 tff(f649,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$uminus(sK4)) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,sK0,X1) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | $less(0,$uminus(X1)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_21), 4.50/1.17 inference(superposition,[],[f278,f156])). 4.50/1.17 tff(f665,plain,( 4.50/1.17 spl6_62 | spl6_11 | ~spl6_21), 4.50/1.17 inference(avatar_split_clause,[],[f650,f277,f235,f663])). 4.50/1.17 tff(f663,plain,( 4.50/1.17 spl6_62 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$uminus(X1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | lt1(X0,sK0,X1))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 4.50/1.17 tff(f650,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | lt1(X0,sK0,X1) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_21), 4.50/1.17 inference(superposition,[],[f278,f156])). 4.50/1.17 tff(f661,plain,( 4.50/1.17 spl6_61 | spl6_11 | ~spl6_21), 4.50/1.17 inference(avatar_split_clause,[],[f657,f277,f235,f659])). 4.50/1.17 tff(f659,plain,( 4.50/1.17 spl6_61 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | lt1(X0,sK0,X1) | $less(0,$uminus(X1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_61])])). 4.50/1.17 tff(f657,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$uminus(X1)) | lt1(X0,sK0,X1) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))))))) ) | ~spl6_21), 4.50/1.17 inference(duplicate_literal_removal,[],[f651])). 4.50/1.17 tff(f651,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | lt1(X0,sK0,X1) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_21), 4.50/1.17 inference(superposition,[],[f278,f155])). 4.50/1.17 tff(f642,plain,( 4.50/1.17 spl6_60 | spl6_11 | ~spl6_16), 4.50/1.17 inference(avatar_split_clause,[],[f615,f255,f235,f640])). 4.50/1.17 tff(f640,plain,( 4.50/1.17 spl6_60 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$uminus(X1)) | lt1(X0,X1,sK0) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 4.50/1.17 tff(f255,plain,( 4.50/1.17 spl6_16 <=> ! [X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$uminus(X1)) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,sK0))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 4.50/1.17 tff(f615,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$uminus(X1)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,sK0) | $less(0,$uminus(sK4))) ) | ~spl6_16), 4.50/1.17 inference(superposition,[],[f256,f156])). 4.50/1.17 tff(f256,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | lt1(X0,X1,sK0) | $less(0,$uminus(X1)) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_16), 4.50/1.17 inference(avatar_component_clause,[],[f255])). 4.50/1.17 tff(f638,plain,( 4.50/1.17 spl6_59 | spl6_11 | ~spl6_16), 4.50/1.17 inference(avatar_split_clause,[],[f616,f255,f235,f636])). 4.50/1.17 tff(f636,plain,( 4.50/1.17 spl6_59 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$uminus(X1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,sK0) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])). 4.50/1.17 tff(f616,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | lt1(X0,X1,sK0) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1))) ) | ~spl6_16), 4.50/1.17 inference(superposition,[],[f256,f156])). 4.50/1.17 tff(f634,plain,( 4.50/1.17 spl6_11 | spl6_58 | ~spl6_16), 4.50/1.17 inference(avatar_split_clause,[],[f617,f255,f632,f235])). 4.50/1.17 tff(f632,plain,( 4.50/1.17 spl6_58 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,sK0) | $less(0,$uminus(X1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])). 4.50/1.17 tff(f617,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | lt1(X0,X1,sK0) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_16), 4.50/1.17 inference(superposition,[],[f256,f155])). 4.50/1.17 tff(f630,plain,( 4.50/1.17 spl6_11 | spl6_57 | ~spl6_16), 4.50/1.17 inference(avatar_split_clause,[],[f618,f255,f628,f235])). 4.50/1.17 tff(f628,plain,( 4.50/1.17 spl6_57 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,sK0) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_57])])). 4.50/1.17 tff(f618,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | lt1(X0,X1,sK0) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$uminus(X1)) | $less(0,$uminus(sK4))) ) | ~spl6_16), 4.50/1.17 inference(superposition,[],[f256,f155])). 4.50/1.17 tff(f626,plain,( 4.50/1.17 spl6_56 | spl6_15 | ~spl6_2 | ~spl6_16), 4.50/1.17 inference(avatar_split_clause,[],[f622,f255,f172,f251,f624])). 4.50/1.17 tff(f624,plain,( 4.50/1.17 spl6_56 <=> ! [X0 : array_int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,sK0,sK0) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | ~is_common_prefix1(X0,sK0,sK0,sK4))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 4.50/1.17 tff(f251,plain,( 4.50/1.17 spl6_15 <=> $less(0,$uminus(sK0))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 4.50/1.17 tff(f622,plain,( 4.50/1.17 ( ! [X0 : array_int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,sK0,sK4) | $less(0,$uminus(sK0)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | lt1(X0,sK0,sK0) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0)))))) ) | (~spl6_2 | ~spl6_16)), 4.50/1.17 inference(duplicate_literal_removal,[],[f610])). 4.50/1.17 tff(f610,plain,( 4.50/1.17 ( ! [X0 : array_int] : ($less(0,$uminus(sK0)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,sK0,sK4) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,sK0,sK0) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0)))))) ) | (~spl6_2 | ~spl6_16)), 4.50/1.17 inference(superposition,[],[f256,f174])). 4.50/1.17 tff(f584,plain,( 4.50/1.17 spl6_55 | spl6_11 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f548,f243,f235,f580])). 4.50/1.17 tff(f580,plain,( 4.50/1.17 spl6_55 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_55])])). 4.50/1.17 tff(f243,plain,( 4.50/1.17 spl6_13 <=> ! [X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])). 4.50/1.17 tff(f548,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f244,f156])). 4.50/1.17 tff(f244,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(avatar_component_clause,[],[f243])). 4.50/1.17 tff(f583,plain,( 4.50/1.17 spl6_11 | spl6_52 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f559,f243,f565,f235])). 4.50/1.17 tff(f565,plain,( 4.50/1.17 spl6_52 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 4.50/1.17 tff(f559,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(duplicate_literal_removal,[],[f551])). 4.50/1.17 tff(f551,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f244,f155])). 4.50/1.17 tff(f582,plain,( 4.50/1.17 spl6_11 | spl6_55 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f552,f243,f580,f235])). 4.50/1.17 tff(f552,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$uminus(sK4))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f156,f244])). 4.50/1.17 tff(f578,plain,( 4.50/1.17 spl6_11 | spl6_54 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f549,f243,f574,f235])). 4.50/1.17 tff(f574,plain,( 4.50/1.17 spl6_54 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 4.50/1.17 tff(f549,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f244,f156])). 4.50/1.17 tff(f577,plain,( 4.50/1.17 spl6_11 | spl6_53 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f560,f243,f570,f235])). 4.50/1.17 tff(f570,plain,( 4.50/1.17 spl6_53 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_53])])). 4.50/1.17 tff(f560,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(duplicate_literal_removal,[],[f554])). 4.50/1.17 tff(f554,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f155,f244])). 4.50/1.17 tff(f576,plain,( 4.50/1.17 spl6_11 | spl6_54 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f553,f243,f574,f235])). 4.50/1.17 tff(f553,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f156,f244])). 4.50/1.17 tff(f572,plain,( 4.50/1.17 spl6_53 | spl6_11 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f561,f243,f235,f570])). 4.50/1.17 tff(f561,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1))) ) | ~spl6_13), 4.50/1.17 inference(duplicate_literal_removal,[],[f550])). 4.50/1.17 tff(f550,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f244,f155])). 4.50/1.17 tff(f567,plain,( 4.50/1.17 spl6_11 | spl6_52 | ~spl6_13), 4.50/1.17 inference(avatar_split_clause,[],[f563,f243,f565,f235])). 4.50/1.17 tff(f563,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(duplicate_literal_removal,[],[f555])). 4.50/1.17 tff(f555,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_13), 4.50/1.17 inference(superposition,[],[f155,f244])). 4.50/1.17 tff(f546,plain,( 4.50/1.17 spl6_11 | spl6_49 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f515,f239,f531,f235])). 4.50/1.17 tff(f531,plain,( 4.50/1.17 spl6_49 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])). 4.50/1.17 tff(f239,plain,( 4.50/1.17 spl6_12 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 4.50/1.17 tff(f515,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f156,f240])). 4.50/1.17 tff(f240,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(avatar_component_clause,[],[f239])). 4.50/1.17 tff(f544,plain,( 4.50/1.17 spl6_11 | spl6_50 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f521,f239,f536,f235])). 4.50/1.17 tff(f536,plain,( 4.50/1.17 spl6_50 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])). 4.50/1.17 tff(f521,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1))) ) | ~spl6_12), 4.50/1.17 inference(duplicate_literal_removal,[],[f516])). 4.50/1.17 tff(f516,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f155,f240])). 4.50/1.17 tff(f543,plain,( 4.50/1.17 spl6_11 | spl6_51 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f510,f239,f540,f235])). 4.50/1.17 tff(f540,plain,( 4.50/1.17 spl6_51 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])). 4.50/1.17 tff(f510,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f240,f156])). 4.50/1.17 tff(f542,plain,( 4.50/1.17 spl6_51 | spl6_11 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f514,f239,f235,f540])). 4.50/1.17 tff(f514,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f156,f240])). 4.50/1.17 tff(f538,plain,( 4.50/1.17 spl6_50 | spl6_11 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f523,f239,f235,f536])). 4.50/1.17 tff(f523,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(duplicate_literal_removal,[],[f512])). 4.50/1.17 tff(f512,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f240,f155])). 4.50/1.17 tff(f534,plain,( 4.50/1.17 spl6_48 | spl6_11 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f524,f239,f235,f527])). 4.50/1.17 tff(f527,plain,( 4.50/1.17 spl6_48 <=> ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 4.50/1.17 tff(f524,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1))) ) | ~spl6_12), 4.50/1.17 inference(duplicate_literal_removal,[],[f517])). 4.50/1.17 tff(f517,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f155,f240])). 4.50/1.17 tff(f533,plain,( 4.50/1.17 spl6_49 | spl6_11 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f511,f239,f235,f531])). 4.50/1.17 tff(f511,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f240,f156])). 4.50/1.17 tff(f529,plain,( 4.50/1.17 spl6_48 | spl6_11 | ~spl6_12), 4.50/1.17 inference(avatar_split_clause,[],[f525,f239,f235,f527])). 4.50/1.17 tff(f525,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1))) ) | ~spl6_12), 4.50/1.17 inference(duplicate_literal_removal,[],[f513])). 4.50/1.17 tff(f513,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_12), 4.50/1.17 inference(superposition,[],[f240,f155])). 4.50/1.17 tff(f507,plain,( 4.50/1.17 spl6_11 | spl6_46 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f476,f290,f497,f235])). 4.50/1.17 tff(f476,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,sK0,X1,X3) | ~is_common_prefix1(X0,X2,X1,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f291,f156])). 4.50/1.17 tff(f506,plain,( 4.50/1.17 spl6_45 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f483,f290,f235,f492])). 4.50/1.17 tff(f492,plain,( 4.50/1.17 spl6_45 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,X3) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])). 4.50/1.17 tff(f483,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,X3) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f155,f291])). 4.50/1.17 tff(f505,plain,( 4.50/1.17 spl6_47 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f477,f290,f235,f501])). 4.50/1.17 tff(f477,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X4) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,X3)) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f291,f156])). 4.50/1.17 tff(f504,plain,( 4.50/1.17 spl6_44 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f478,f290,f235,f488])). 4.50/1.17 tff(f488,plain,( 4.50/1.17 spl6_44 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,sK0,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])). 4.50/1.17 tff(f478,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | ~is_common_prefix1(X0,sK0,X1,X3) | $less(0,$uminus(sK4))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f291,f155])). 4.50/1.17 tff(f503,plain,( 4.50/1.17 spl6_47 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f481,f290,f235,f501])). 4.50/1.17 tff(f481,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,sK0,X1,X4)) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f156,f291])). 4.50/1.17 tff(f499,plain,( 4.50/1.17 spl6_46 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f480,f290,f235,f497])). 4.50/1.17 tff(f480,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f156,f291])). 4.50/1.17 tff(f494,plain,( 4.50/1.17 spl6_11 | spl6_45 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f479,f290,f492,f235])). 4.50/1.17 tff(f479,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | ~is_common_prefix1(X0,sK0,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f291,f155])). 4.50/1.17 tff(f490,plain,( 4.50/1.17 spl6_44 | spl6_11 | ~spl6_24), 4.50/1.17 inference(avatar_split_clause,[],[f482,f290,f235,f488])). 4.50/1.17 tff(f482,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,sK0,X1,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4))) ) | ~spl6_24), 4.50/1.17 inference(superposition,[],[f155,f291])). 4.50/1.17 tff(f474,plain,( 4.50/1.17 spl6_43 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f444,f281,f235,f468])). 4.50/1.17 tff(f444,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,X3) | ~is_common_prefix1(X0,X1,X2,X4) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f282,f156])). 4.50/1.17 tff(f472,plain,( 4.50/1.17 spl6_42 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f449,f281,f235,f464])). 4.50/1.17 tff(f464,plain,( 4.50/1.17 spl6_42 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,X3) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum(sK4,1),$uminus(X3))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 4.50/1.17 tff(f449,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,X3) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$uminus(sK4))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f155,f282])). 4.50/1.17 tff(f471,plain,( 4.50/1.17 spl6_11 | spl6_41 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f443,f281,f459,f235])). 4.50/1.17 tff(f443,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(X0,X1,sK0,X3) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X2,X1,X4) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$sum($sum(sK4,1),$uminus(X3)))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f282,f156])). 4.50/1.17 tff(f470,plain,( 4.50/1.17 spl6_43 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f448,f281,f235,f468])). 4.50/1.17 tff(f448,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : ($less(0,$uminus(sK4)) | ~is_common_prefix1(X0,X1,X2,X3) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | ~is_common_prefix1(X0,X1,sK0,X4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f156,f282])). 4.50/1.17 tff(f466,plain,( 4.50/1.17 spl6_11 | spl6_42 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f445,f281,f464,f235])). 4.50/1.17 tff(f445,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X2,X1,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,X3)) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f282,f155])). 4.50/1.17 tff(f462,plain,( 4.50/1.17 spl6_40 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f450,f281,f235,f455])). 4.50/1.17 tff(f455,plain,( 4.50/1.17 spl6_40 <=> ! [X0 : array_int,X3 : $int,X2 : $int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | ~is_common_prefix1(X0,X1,sK0,X3) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])). 4.50/1.17 tff(f450,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | ~is_common_prefix1(X0,X1,sK0,X3) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X1,X2,$sum(sK4,1))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f155,f282])). 4.50/1.17 tff(f461,plain,( 4.50/1.17 spl6_41 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f447,f281,f235,f459])). 4.50/1.17 tff(f447,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int,X4 : $int] : (~is_common_prefix1(X0,X1,sK0,X4) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | ~is_common_prefix1(X0,X2,X1,X3) | $less(0,$sum($sum(sK4,1),$uminus(X4))) | $less(0,$uminus(sK4)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4))))) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f156,f282])). 4.50/1.17 tff(f457,plain,( 4.50/1.17 spl6_40 | spl6_11 | ~spl6_22), 4.50/1.17 inference(avatar_split_clause,[],[f446,f281,f235,f455])). 4.50/1.17 tff(f446,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(sK4,1)) | $less(0,$sum($sum($sum(X2,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK4)))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X3))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,X3)) ) | ~spl6_22), 4.50/1.17 inference(superposition,[],[f282,f155])). 4.50/1.17 tff(f429,plain,( 4.50/1.17 spl6_38 | ~spl6_39 | ~spl6_2 | ~spl6_30), 4.50/1.17 inference(avatar_split_clause,[],[f420,f331,f172,f426,f422])). 4.50/1.17 tff(f422,plain,( 4.50/1.17 spl6_38 <=> $less(0,$sum($sum($sum(sK2,sK4),1),$uminus(sK3)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 4.50/1.17 tff(f331,plain,( 4.50/1.17 spl6_30 <=> ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | sK3 != $sum(sK0,X0))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 4.50/1.17 tff(f420,plain,( 4.50/1.17 ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | $less(0,$sum($sum($sum(sK2,sK4),1),$uminus(sK3))) | (~spl6_2 | ~spl6_30)), 4.50/1.17 inference(trivial_inequality_removal,[],[f419])). 4.50/1.17 tff(f419,plain,( 4.50/1.17 sK3 != sK3 | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,sK4) | $less(0,$sum($sum($sum(sK2,sK4),1),$uminus(sK3))) | (~spl6_2 | ~spl6_30)), 4.50/1.17 inference(superposition,[],[f332,f174])). 4.50/1.17 tff(f332,plain,( 4.50/1.17 ( ! [X0 : $int] : (sK3 != $sum(sK0,X0) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3)))) ) | ~spl6_30), 4.50/1.17 inference(avatar_component_clause,[],[f331])). 4.50/1.17 tff(f410,plain,( 4.50/1.17 spl6_37 | ~spl6_3 | ~spl6_31), 4.50/1.17 inference(avatar_split_clause,[],[f395,f337,f177,f407])). 4.50/1.17 tff(f407,plain,( 4.50/1.17 spl6_37 <=> $less(0,$sum($sum(sK4,1),$uminus(sK4)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])). 4.50/1.17 tff(f177,plain,( 4.50/1.17 spl6_3 <=> is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4)), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 4.50/1.17 tff(f395,plain,( 4.50/1.17 $less(0,$sum($sum(sK4,1),$uminus(sK4))) | (~spl6_3 | ~spl6_31)), 4.50/1.17 inference(resolution,[],[f335,f339])). 4.50/1.17 tff(f335,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,X0) | $less(0,$sum($sum(sK4,1),$uminus(X0)))) ) | ~spl6_3), 4.50/1.17 inference(resolution,[],[f179,f150])). 4.50/1.17 tff(f150,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : array_int,X0 : $int,X1 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X2,X1,X0) | $less(0,$sum($sum(X0,1),$uminus(X4))) | ~is_common_prefix1(X3,X2,X1,X4)) )), 4.50/1.17 inference(evaluation,[],[f139])). 4.50/1.17 tff(f139,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : array_int,X0 : $int,X1 : $int,X4 : $int] : (~is_longest_common_prefix1(X3,X2,X1,X0) | ~$less(X0,X4) | ~is_common_prefix1(X3,X2,X1,X4)) )), 4.50/1.17 inference(cnf_transformation,[],[f99])). 4.50/1.17 tff(f179,plain,( 4.50/1.17 is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4) | ~spl6_3), 4.50/1.17 inference(avatar_component_clause,[],[f177])). 4.50/1.17 tff(f386,plain,( 4.50/1.17 spl6_34 | spl6_29 | spl6_35 | spl6_26 | spl6_15 | spl6_36 | spl6_27 | ~spl6_2 | ~spl6_31), 4.50/1.17 inference(avatar_split_clause,[],[f377,f337,f172,f311,f383,f251,f307,f379,f318,f365])). 4.50/1.17 tff(f365,plain,( 4.50/1.17 spl6_34 <=> $less(0,$sum($sum(sK3,1),$uminus(sK3)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])). 4.50/1.17 tff(f318,plain,( 4.50/1.17 spl6_29 <=> $less(0,$uminus(sK2))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])). 4.50/1.17 tff(f379,plain,( 4.50/1.17 spl6_35 <=> lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0)), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 4.50/1.17 tff(f307,plain,( 4.50/1.17 spl6_26 <=> $less(0,$sum(sK2,$uminus(sK3)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 4.50/1.17 tff(f383,plain,( 4.50/1.17 spl6_36 <=> $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb(sK3))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 4.50/1.17 tff(f311,plain,( 4.50/1.17 spl6_27 <=> $less(0,$sum(sK0,$uminus(sK3)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 4.50/1.17 tff(f377,plain,( 4.50/1.17 $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb(sK3)))))) | $less(0,$sum($sum(sK3,1),$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK0,$uminus(sK3))) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$uminus(sK2)) | $less(0,$sum(sK2,$uminus(sK3))) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f376,f121])). 4.50/1.17 tff(f376,plain,( 4.50/1.17 lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb(sK3)))))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK0,$uminus(sK3))) | $less(0,$sum($sum(sK3,1),$uminus(sK3))) | $less(0,$sum(sK2,$uminus(sK3))) | $less(0,$uminus(sK2)) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f375,f174])). 4.50/1.17 tff(f375,plain,( 4.50/1.17 $less(0,$sum(sK2,$uminus(sK3))) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(sK3))) | $less(0,$uminus(sK2)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb(sK3)))))) | $less(0,$sum(sK0,$uminus(sK3))) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$uminus(sK0)) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f374,f174])). 4.50/1.17 tff(f374,plain,( 4.50/1.17 $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | $less(0,$uminus(sK0)) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(sK3))) | $less(0,$sum(sK2,$uminus(sK3))) | $less(0,$uminus(sK2)) | $less(0,$sum(sK0,$uminus(sK3))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f373,f126])). 4.50/1.17 tff(f373,plain,( 4.50/1.17 lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$sum(sK0,$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | $less(0,$sum(sK2,$uminus(sK3))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f372,f126])). 4.50/1.17 tff(f372,plain,( 4.50/1.17 $less(0,$uminus(sK2)) | $less(0,$sum(sK2,$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK0,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f371,f121])). 4.50/1.17 tff(f371,plain,( 4.50/1.17 lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | $less(0,$sum(sK0,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK2,$uminus(sK3))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f370,f121])). 4.50/1.17 tff(f370,plain,( 4.50/1.17 $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(sK3))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f369,f126])). 4.50/1.17 tff(f369,plain,( 4.50/1.17 lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f342,f121])). 4.50/1.17 tff(f342,plain,( 4.50/1.17 $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK2)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,sK4))))))) | $less(0,$uminus(sK0)) | lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0) | $less(0,$sum($sum($sum(sK0,sK4),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | ~spl6_31), 4.50/1.17 inference(resolution,[],[f339,f146])). 4.50/1.17 tff(f146,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,X3),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | lt1(X0,X1,X2) | $less(0,$uminus(X2)) | $less(0,$sum(X2,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X3)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X3))))))) | $less(0,$uminus(X1)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 4.50/1.17 inference(evaluation,[],[f145])). 4.50/1.17 tff(f145,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~$less($sum(X2,X3),length1(int,t2tb1(X0))) | $less(length1(int,t2tb1(X0)),X1) | lt1(X0,X1,X2) | $less(X2,0) | $less(length1(int,t2tb1(X0)),X2) | ~$less(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X3)))),tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X3))))) | $less(X1,0) | ~is_common_prefix1(X0,X1,X2,X3)) )), 4.50/1.17 inference(definition_unfolding,[],[f138,f136,f136])). 4.50/1.17 tff(f138,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | ~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,X3))),tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | $less(length1(int,t2tb1(X0)),X2) | $less(X2,0) | lt1(X0,X1,X2) | $less(length1(int,t2tb1(X0)),X1) | $less(X1,0)) )), 4.50/1.17 inference(cnf_transformation,[],[f98])). 4.50/1.17 tff(f98,plain,( 4.50/1.17 ! [X0 : array_int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~is_common_prefix1(X0,X1,X2,X3) | (~$less(tb2t(get2(int,t2tb1(X0),$sum(X1,X3))),tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) & length1(int,t2tb1(X0)) != $sum(X1,X3)) | ~$less($sum(X2,X3),length1(int,t2tb1(X0)))) | $less(length1(int,t2tb1(X0)),X2) | $less(X2,0) | lt1(X0,X1,X2) | $less(length1(int,t2tb1(X0)),X1) | $less(X1,0))), 4.50/1.17 inference(rectify,[],[f77])). 4.50/1.17 tff(f77,plain,( 4.50/1.17 ! [X2 : array_int,X0 : $int,X1 : $int] : (! [X3 : $int] : (~is_common_prefix1(X2,X0,X1,X3) | (~$less(tb2t(get2(int,t2tb1(X2),$sum(X0,X3))),tb2t(get2(int,t2tb1(X2),$sum(X1,X3)))) & length1(int,t2tb1(X2)) != $sum(X0,X3)) | ~$less($sum(X1,X3),length1(int,t2tb1(X2)))) | $less(length1(int,t2tb1(X2)),X1) | $less(X1,0) | lt1(X2,X0,X1) | $less(length1(int,t2tb1(X2)),X0) | $less(X0,0))), 4.50/1.17 inference(flattening,[],[f76])). 4.50/1.17 tff(f76,plain,( 4.50/1.17 ! [X2 : array_int,X1 : $int,X0 : $int] : (lt1(X2,X0,X1) | ($less(X1,0) | $less(X0,0) | ! [X3 : $int] : (~is_common_prefix1(X2,X0,X1,X3) | (~$less(tb2t(get2(int,t2tb1(X2),$sum(X0,X3))),tb2t(get2(int,t2tb1(X2),$sum(X1,X3)))) & length1(int,t2tb1(X2)) != $sum(X0,X3)) | ~$less($sum(X1,X3),length1(int,t2tb1(X2)))) | $less(length1(int,t2tb1(X2)),X0) | $less(length1(int,t2tb1(X2)),X1)))), 4.50/1.17 inference(ennf_transformation,[],[f69])). 4.50/1.17 tff(f69,plain,( 4.50/1.17 ! [X2 : array_int,X1 : $int,X0 : $int] : ((~$less(X1,0) & ~$less(X0,0) & ? [X3 : $int] : ($less($sum(X1,X3),length1(int,t2tb1(X2))) & ($less(tb2t(get2(int,t2tb1(X2),$sum(X0,X3))),tb2t(get2(int,t2tb1(X2),$sum(X1,X3)))) | length1(int,t2tb1(X2)) = $sum(X0,X3)) & is_common_prefix1(X2,X0,X1,X3)) & ~$less(length1(int,t2tb1(X2)),X0) & ~$less(length1(int,t2tb1(X2)),X1)) => lt1(X2,X0,X1))), 4.50/1.17 inference(unused_predicate_definition_removal,[],[f54])). 4.50/1.17 tff(f54,plain,( 4.50/1.17 ! [X2 : array_int,X1 : $int,X0 : $int] : ((~$less(X1,0) & ~$less(X0,0) & ? [X3 : $int] : ($less($sum(X1,X3),length1(int,t2tb1(X2))) & ($less(tb2t(get2(int,t2tb1(X2),$sum(X0,X3))),tb2t(get2(int,t2tb1(X2),$sum(X1,X3)))) | length1(int,t2tb1(X2)) = $sum(X0,X3)) & is_common_prefix1(X2,X0,X1,X3)) & ~$less(length1(int,t2tb1(X2)),X0) & ~$less(length1(int,t2tb1(X2)),X1)) <=> lt1(X2,X0,X1))), 4.50/1.17 inference(rectify,[],[f49])). 4.50/1.17 tff(f49,plain,( 4.50/1.17 ! [X1 : $int,X7 : $int,X0 : array_int] : (lt1(X0,X1,X7) <=> (? [X8 : $int] : (is_common_prefix1(X0,X1,X7,X8) & $less($sum(X7,X8),length1(int,t2tb1(X0))) & ($less(tb2t(get2(int,t2tb1(X0),$sum(X1,X8))),tb2t(get2(int,t2tb1(X0),$sum(X7,X8)))) | $sum(X1,X8) = length1(int,t2tb1(X0)))) & ~$less(X7,0) & ~$less(length1(int,t2tb1(X0)),X7) & ~$less(length1(int,t2tb1(X0)),X1) & ~$less(X1,0)))), 4.50/1.17 inference(theory_normalization,[],[f7])). 4.50/1.17 tff(f7,axiom,( 4.50/1.17 ! [X1 : $int,X7 : $int,X0 : array_int] : (lt1(X0,X1,X7) <=> (? [X8 : $int] : (is_common_prefix1(X0,X1,X7,X8) & $less($sum(X7,X8),length1(int,t2tb1(X0))) & ($less(tb2t(get2(int,t2tb1(X0),$sum(X1,X8))),tb2t(get2(int,t2tb1(X0),$sum(X7,X8)))) | $sum(X1,X8) = length1(int,t2tb1(X0)))) & $lesseq(0,X7) & $lesseq(X7,length1(int,t2tb1(X0))) & $lesseq(X1,length1(int,t2tb1(X0))) & $lesseq(0,X1)))), 4.50/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.17 tff(f368,plain,( 4.50/1.17 spl6_34 | ~spl6_2 | ~spl6_31), 4.50/1.17 inference(avatar_split_clause,[],[f363,f337,f172,f365])). 4.50/1.17 tff(f363,plain,( 4.50/1.17 $less(0,$sum($sum(sK3,1),$uminus(sK3))) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f362,f126])). 4.50/1.17 tff(f362,plain,( 4.50/1.17 $less(0,$sum($sum(length1(int,mk_array1(int,sK3,t2tb2(sK1))),1),$uminus(sK3))) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f361,f121])). 4.50/1.17 tff(f361,plain,( 4.50/1.17 $less(0,$sum($sum(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),1),$uminus(sK3))) | (~spl6_2 | ~spl6_31)), 4.50/1.17 inference(forward_demodulation,[],[f347,f174])). 4.50/1.17 tff(f347,plain,( 4.50/1.17 $less(0,$sum($sum(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),1),$uminus($sum(sK0,sK4)))) | ~spl6_31), 4.50/1.17 inference(resolution,[],[f339,f151])). 4.50/1.17 tff(f151,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(0,$sum($sum(length1(int,t2tb1(X2)),1),$uminus($sum(X0,X1)))) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(evaluation,[],[f134])). 4.50/1.17 tff(f134,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (~$less(length1(int,t2tb1(X2)),$sum(X0,X1)) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(cnf_transformation,[],[f97])). 4.50/1.17 tff(f360,plain,( 4.50/1.17 spl6_33 | ~spl6_31), 4.50/1.17 inference(avatar_split_clause,[],[f343,f337,f357])). 4.50/1.17 tff(f357,plain,( 4.50/1.17 spl6_33 <=> $less(0,$sum(1,sK4))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])). 4.50/1.17 tff(f343,plain,( 4.50/1.17 $less(0,$sum(1,sK4)) | ~spl6_31), 4.50/1.17 inference(resolution,[],[f339,f147])). 4.50/1.17 tff(f147,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(0,$sum(1,X1)) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(evaluation,[],[f132])). 4.50/1.17 tff(f132,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (~$less(X1,0) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(cnf_transformation,[],[f97])). 4.50/1.17 tff(f355,plain,( 4.50/1.17 spl6_32 | ~spl6_31), 4.50/1.17 inference(avatar_split_clause,[],[f350,f337,f352])). 4.50/1.17 tff(f352,plain,( 4.50/1.17 spl6_32 <=> $less(0,$sum($sum(sK3,1),$uminus($sum(sK2,sK4))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])). 4.50/1.17 tff(f350,plain,( 4.50/1.17 $less(0,$sum($sum(sK3,1),$uminus($sum(sK2,sK4)))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f349,f126])). 4.50/1.17 tff(f349,plain,( 4.50/1.17 $less(0,$sum($sum(length1(int,mk_array1(int,sK3,t2tb2(sK1))),1),$uminus($sum(sK2,sK4)))) | ~spl6_31), 4.50/1.17 inference(forward_demodulation,[],[f344,f121])). 4.50/1.17 tff(f344,plain,( 4.50/1.17 $less(0,$sum($sum(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),1),$uminus($sum(sK2,sK4)))) | ~spl6_31), 4.50/1.17 inference(resolution,[],[f339,f148])). 4.50/1.17 tff(f148,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : ($less(0,$sum($sum(length1(int,t2tb1(X2)),1),$uminus($sum(X3,X1)))) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(evaluation,[],[f133])). 4.50/1.17 tff(f133,plain,( 4.50/1.17 ( ! [X2 : array_int,X3 : $int,X0 : $int,X1 : $int] : (~$less(length1(int,t2tb1(X2)),$sum(X3,X1)) | ~is_common_prefix1(X2,X3,X0,X1)) )), 4.50/1.17 inference(cnf_transformation,[],[f97])). 4.50/1.17 tff(f340,plain,( 4.50/1.17 spl6_31 | ~spl6_3), 4.50/1.17 inference(avatar_split_clause,[],[f334,f177,f337])). 4.50/1.17 tff(f334,plain,( 4.50/1.17 is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4) | ~spl6_3), 4.50/1.17 inference(resolution,[],[f179,f140])). 4.50/1.17 tff(f333,plain,( 4.50/1.17 spl6_27 | spl6_15 | spl6_30 | spl6_29 | spl6_26 | spl6_8), 4.50/1.17 inference(avatar_split_clause,[],[f329,f202,f307,f318,f331,f251,f311])). 4.50/1.17 tff(f202,plain,( 4.50/1.17 spl6_8 <=> lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2)), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 4.50/1.17 tff(f329,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | sK3 != $sum(sK0,X0) | $less(0,$sum(sK2,$uminus(sK3))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$sum(sK0,$uminus(sK3)))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f328,f126])). 4.50/1.17 tff(f328,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK0,$uminus(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | sK3 != $sum(sK0,X0) | $less(0,$uminus(sK2))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f327,f121])). 4.50/1.17 tff(f327,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | sK3 != $sum(sK0,X0) | $less(0,$uminus(sK0)) | $less(0,$uminus(sK2)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK0,$uminus(sK3)))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f326,f126])). 4.50/1.17 tff(f326,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $sum(sK0,X0) != length1(int,mk_array1(int,sK3,t2tb2(sK1))) | $less(0,$sum(sK0,$uminus(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f325,f121])). 4.50/1.17 tff(f325,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))) != $sum(sK0,X0) | $less(0,$uminus(sK0)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK2)) | $less(0,$sum(sK0,$uminus(sK3))) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f324,f126])). 4.50/1.17 tff(f324,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK0,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))) != $sum(sK0,X0) | $less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f323,f121])). 4.50/1.17 tff(f323,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))) != $sum(sK0,X0) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f322,f126])). 4.50/1.17 tff(f322,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))) != $sum(sK0,X0) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK0))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f297,f121])). 4.50/1.17 tff(f297,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))) != $sum(sK0,X0)) ) | spl6_8), 4.50/1.17 inference(resolution,[],[f204,f149])). 4.50/1.17 tff(f149,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X2,X3),1),$uminus(length1(int,t2tb1(X0))))) | length1(int,t2tb1(X0)) != $sum(X1,X3) | $less(0,$uminus(X1)) | lt1(X0,X1,X2) | $less(0,$uminus(X2)) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(X2,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,X2,X3)) )), 4.50/1.17 inference(evaluation,[],[f137])). 4.50/1.17 tff(f137,plain,( 4.50/1.17 ( ! [X2 : $int,X3 : $int,X0 : array_int,X1 : $int] : (~$less($sum(X2,X3),length1(int,t2tb1(X0))) | length1(int,t2tb1(X0)) != $sum(X1,X3) | $less(X1,0) | lt1(X0,X1,X2) | $less(X2,0) | $less(length1(int,t2tb1(X0)),X1) | $less(length1(int,t2tb1(X0)),X2) | ~is_common_prefix1(X0,X1,X2,X3)) )), 4.50/1.17 inference(cnf_transformation,[],[f98])). 4.50/1.17 tff(f204,plain,( 4.50/1.17 ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2) | spl6_8), 4.50/1.17 inference(avatar_component_clause,[],[f202])). 4.50/1.17 tff(f321,plain,( 4.50/1.17 spl6_15 | spl6_26 | spl6_27 | spl6_28 | spl6_29 | spl6_8), 4.50/1.17 inference(avatar_split_clause,[],[f305,f202,f318,f315,f311,f307,f251])). 4.50/1.17 tff(f315,plain,( 4.50/1.17 spl6_28 <=> ! [X0 : $int] : ($less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 4.50/1.17 tff(f305,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$uminus(sK2)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK0,$uminus(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK2,$uminus(sK3)))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f304,f126])). 4.50/1.17 tff(f304,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | $less(0,$sum(sK0,$uminus(sK3))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$uminus(sK2)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$sum(sK2,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f303,f126])). 4.50/1.17 tff(f303,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | $less(0,$sum(sK0,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$sum(sK2,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | $less(0,$uminus(sK0)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK2)) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0)) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f302,f121])). 4.50/1.17 tff(f302,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$uminus(sK0)) | $less(0,$uminus(sK2)) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | $less(0,$sum(sK2,$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f301,f121])). 4.50/1.17 tff(f301,plain,( 4.50/1.17 ( ! [X0 : $int] : (~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(sK3))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK0)) | $less(0,$uminus(sK2)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0)))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f300,f126])). 4.50/1.17 tff(f300,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$uminus(sK0)) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(length1(int,mk_array1(int,sK3,t2tb2(sK1)))))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$uminus(sK2)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0)))))))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f299,f121])). 4.50/1.17 tff(f299,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$sum($sum($sum(sK2,X0),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,mk_array1(int,sK3,t2tb2(sK1))),t2tb($sum(sK2,X0))))))) | $less(0,$uminus(sK2)) | $less(0,$uminus(sK0))) ) | spl6_8), 4.50/1.17 inference(forward_demodulation,[],[f298,f121])). 4.50/1.17 tff(f298,plain,( 4.50/1.17 ( ! [X0 : $int] : ($less(0,$uminus(sK2)) | $less(0,$uminus(sK0)) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK0,X0)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))),t2tb($sum(sK2,X0))))))) | $less(0,$sum($sum($sum(sK2,X0),1),$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | $less(0,$sum(sK2,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1)))))))) | ~is_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2,X0) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))))))))) ) | spl6_8), 4.50/1.17 inference(resolution,[],[f204,f146])). 4.50/1.17 tff(f296,plain,( 4.50/1.17 spl6_11 | spl6_25 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f225,f172,f294,f235])). 4.50/1.17 tff(f294,plain,( 4.50/1.17 spl6_25 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(1,sK5(sK0,sK4,X0,X1))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])). 4.50/1.17 tff(f225,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(1,sK5(sK0,sK4,X0,X1))) | $less(0,$uminus(sK4)) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,X1,sK0,sK4)) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f153,f174])). 4.50/1.17 tff(f292,plain,( 4.50/1.17 spl6_24 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f233,f172,f235,f290])). 4.50/1.17 tff(f233,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,sK0,X1,X2) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X2)))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f156,f174])). 4.50/1.17 tff(f288,plain,( 4.50/1.17 spl6_13 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f231,f172,f235,f243])). 4.50/1.17 tff(f231,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$uminus(sK4))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f155,f174])). 4.50/1.17 tff(f287,plain,( 4.50/1.17 spl6_23 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f222,f172,f235,f285])). 4.50/1.17 tff(f285,plain,( 4.50/1.17 spl6_23 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK4,$uminus(sK5(X1,sK4,X0,sK0)))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])). 4.50/1.17 tff(f222,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK4,$uminus(sK5(X1,sK4,X0,sK0)))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$uminus(sK4))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f152,f174])). 4.50/1.17 tff(f283,plain,( 4.50/1.17 spl6_11 | spl6_22 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f232,f172,f281,f235])). 4.50/1.17 tff(f232,plain,( 4.50/1.17 ( ! [X2 : $int,X0 : array_int,X1 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum($sum(sK4,1),$uminus(X2))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | ~is_common_prefix1(X0,X1,sK0,X2)) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f156,f174])). 4.50/1.17 tff(f279,plain,( 4.50/1.17 spl6_15 | spl6_21 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f217,f172,f277,f251])). 4.50/1.17 tff(f217,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$uminus(sK0)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4))))))) | lt1(X0,sK0,X1) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$uminus(X1))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f146,f174])). 4.50/1.17 tff(f275,plain,( 4.50/1.17 spl6_15 | spl6_20 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f220,f172,f273,f251])). 4.50/1.17 tff(f273,plain,( 4.50/1.17 spl6_20 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | length1(int,t2tb1(X0)) != $sum(X1,sK4) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1)) | lt1(X0,X1,sK0) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])). 4.50/1.17 tff(f220,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$uminus(sK0)) | lt1(X0,X1,sK0) | $less(0,$uminus(X1)) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | length1(int,t2tb1(X0)) != $sum(X1,sK4)) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f149,f174])). 4.50/1.17 tff(f271,plain,( 4.50/1.17 spl6_19 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f224,f172,f235,f269])). 4.50/1.17 tff(f269,plain,( 4.50/1.17 spl6_19 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum(1,sK5(X1,sK4,X0,sK0))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,sK0,X1,sK4))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 4.50/1.17 tff(f224,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$uminus(sK4)) | $less(0,$sum(1,sK5(X1,sK4,X0,sK0))) | is_common_prefix1(X0,sK0,X1,sK4) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f153,f174])). 4.50/1.17 tff(f267,plain,( 4.50/1.17 spl6_18 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f226,f172,f235,f265])). 4.50/1.17 tff(f226,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(sK0,sK5(X1,sK4,X0,sK0))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(X1,sK4,X0,sK0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,sK0,X1,sK4)) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f154,f174])). 4.50/1.17 tff(f263,plain,( 4.50/1.17 spl6_12 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f228,f172,f235,f239])). 4.50/1.17 tff(f228,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f155,f174])). 4.50/1.17 tff(f262,plain,( 4.50/1.17 spl6_17 | spl6_11 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f227,f172,f235,f260])). 4.50/1.17 tff(f260,plain,( 4.50/1.17 spl6_17 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK4,X0,X1))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(sK0,sK5(sK0,sK4,X0,X1))))) | is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 4.50/1.17 tff(f227,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,X1,sK0,sK4) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK4,X0,X1))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(sK0,sK5(sK0,sK4,X0,X1))))) | $less(0,$uminus(sK4))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f154,f174])). 4.50/1.17 tff(f258,plain,( 4.50/1.17 spl6_15 | spl6_16 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f218,f172,f255,f251])). 4.50/1.17 tff(f218,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$uminus(X1)) | $less(0,$uminus(sK0)) | ~is_common_prefix1(X0,X1,sK0,sK4) | lt1(X0,X1,sK0) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0)))))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f146,f174])). 4.50/1.17 tff(f257,plain,( 4.50/1.17 spl6_15 | spl6_16 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f216,f172,f255,f251])). 4.50/1.17 tff(f216,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$uminus(sK0)) | ~is_common_prefix1(X0,X1,sK0,sK4) | lt1(X0,X1,sK0) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK0,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))),1),$uminus(tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))))) | $less(0,$sum(X1,$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(X1))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f146,f174])). 4.50/1.17 tff(f249,plain,( 4.50/1.17 spl6_11 | spl6_14 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f223,f172,f247,f235])). 4.50/1.17 tff(f247,plain,( 4.50/1.17 spl6_14 <=> ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | is_common_prefix1(X0,X1,sK0,sK4) | $less(0,$sum(sK4,$uminus(sK5(sK0,sK4,X0,X1)))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 4.50/1.17 tff(f223,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum(X1,sK4),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK3,$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum(sK4,$uminus(sK5(sK0,sK4,X0,X1)))) | $less(0,$uminus(sK4)) | is_common_prefix1(X0,X1,sK0,sK4)) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f152,f174])). 4.50/1.17 tff(f245,plain,( 4.50/1.17 spl6_11 | spl6_13 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f229,f172,f243,f235])). 4.50/1.17 tff(f229,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : (~is_common_prefix1(X0,sK0,X1,$sum(sK4,1)) | $less(0,$uminus(sK4)) | $less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f155,f174])). 4.50/1.17 tff(f241,plain,( 4.50/1.17 spl6_11 | spl6_12 | ~spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f230,f172,f239,f235])). 4.50/1.17 tff(f230,plain,( 4.50/1.17 ( ! [X0 : array_int,X1 : $int] : ($less(0,$sum($sum($sum(X1,sK4),1),$uminus(length1(int,t2tb1(X0))))) | $less(0,$uminus(sK4)) | $less(0,$sum($sum(sK3,1),$uminus(length1(int,t2tb1(X0))))) | ~is_common_prefix1(X0,X1,sK0,$sum(sK4,1)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb(sK3)))) ) | ~spl6_2), 4.50/1.17 inference(superposition,[],[f155,f174])). 4.50/1.17 tff(f215,plain,( 4.50/1.17 ~spl6_10), 4.50/1.17 inference(avatar_split_clause,[],[f108,f212])). 4.50/1.17 tff(f212,plain,( 4.50/1.17 spl6_10 <=> sK0 = sK2), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 4.50/1.17 tff(f108,plain,( 4.50/1.17 sK0 != sK2), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f88,plain,( 4.50/1.17 ~$less(sK3,sK0) & (is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4) & sK3 != $sum(sK2,sK4) & sK3 = $sum(sK0,sK4) & ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2) & $less(0,1)) & ~$less(sK2,0) & ~$less(sK2,0) & sK0 != sK2 & ~$less(sK3,sK0) & ~$less(sK3,0) & ~$less(sK3,sK2) & ~$less(sK0,0) & ~$less(sK3,sK2) & ~$less(sK0,0)), 4.50/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f85,f87,f86])). 4.50/1.17 tff(f86,plain,( 4.50/1.17 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (~$less(X3,X0) & ? [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X3,t2tb2(X1))),X2,X0,X4) & $sum(X2,X4) != X3 & $sum(X0,X4) = X3 & ~lt1(tb2t1(mk_array1(int,X3,t2tb2(X1))),X0,X2) & $less(0,1)) & ~$less(X2,0) & ~$less(X2,0) & X0 != X2 & ~$less(X3,X0) & ~$less(X3,0) & ~$less(X3,X2) & ~$less(X0,0) & ~$less(X3,X2) & ~$less(X0,0)) => (~$less(sK3,sK0) & ? [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,X4) & sK3 != $sum(sK2,X4) & sK3 = $sum(sK0,X4) & ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2) & $less(0,1)) & ~$less(sK2,0) & ~$less(sK2,0) & sK0 != sK2 & ~$less(sK3,sK0) & ~$less(sK3,0) & ~$less(sK3,sK2) & ~$less(sK0,0) & ~$less(sK3,sK2) & ~$less(sK0,0))), 4.50/1.17 introduced(choice_axiom,[])). 4.50/1.17 tff(f87,plain,( 4.50/1.17 ? [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,X4) & sK3 != $sum(sK2,X4) & sK3 = $sum(sK0,X4) & ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2) & $less(0,1)) => (is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4) & sK3 != $sum(sK2,sK4) & sK3 = $sum(sK0,sK4) & ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2) & $less(0,1))), 4.50/1.17 introduced(choice_axiom,[])). 4.50/1.17 tff(f85,plain,( 4.50/1.17 ? [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (~$less(X3,X0) & ? [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X3,t2tb2(X1))),X2,X0,X4) & $sum(X2,X4) != X3 & $sum(X0,X4) = X3 & ~lt1(tb2t1(mk_array1(int,X3,t2tb2(X1))),X0,X2) & $less(0,1)) & ~$less(X2,0) & ~$less(X2,0) & X0 != X2 & ~$less(X3,X0) & ~$less(X3,0) & ~$less(X3,X2) & ~$less(X0,0) & ~$less(X3,X2) & ~$less(X0,0))), 4.50/1.17 inference(rectify,[],[f72])). 4.50/1.17 tff(f72,plain,( 4.50/1.17 ? [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int] : (~$less(X1,X2) & ? [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X0,X2,X4) & $sum(X0,X4) != X1 & $sum(X2,X4) = X1 & ~lt1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X2,X0) & $less(0,1)) & ~$less(X0,0) & ~$less(X0,0) & X0 != X2 & ~$less(X1,X2) & ~$less(X1,0) & ~$less(X1,X0) & ~$less(X2,0) & ~$less(X1,X0) & ~$less(X2,0))), 4.50/1.17 inference(flattening,[],[f71])). 4.50/1.17 tff(f71,plain,( 4.50/1.17 ? [X1 : $int,X0 : $int,X3 : map_int_int,X2 : $int] : (((? [X4 : $int] : ((((~lt1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X2,X0) & $less(0,1)) & $sum(X2,X4) = X1) & $sum(X0,X4) != X1) & is_longest_common_prefix1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X0,X2,X4)) & (~$less(X0,0) & ~$less(X1,X2) & ~$less(X1,X0) & ~$less(X2,0))) & X0 != X2) & (~$less(X2,0) & ~$less(X1,0) & ~$less(X0,0) & ~$less(X1,X0) & ~$less(X1,X2)))), 4.50/1.17 inference(ennf_transformation,[],[f51])). 4.50/1.17 tff(f51,plain,( 4.50/1.17 ~! [X1 : $int,X0 : $int,X3 : map_int_int,X2 : $int] : ((~$less(X2,0) & ~$less(X1,0) & ~$less(X0,0) & ~$less(X1,X0) & ~$less(X1,X2)) => (X0 != X2 => ((~$less(X0,0) & ~$less(X1,X2) & ~$less(X1,X0) & ~$less(X2,0)) => ! [X4 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X0,X2,X4) => ($sum(X0,X4) != X1 => ($sum(X2,X4) = X1 => ($less(0,1) => lt1(tb2t1(mk_array1(int,X1,t2tb2(X3))),X2,X0))))))))), 4.50/1.17 inference(rectify,[],[f48])). 4.50/1.17 tff(f48,plain,( 4.50/1.17 ~! [X1 : $int,X0 : $int,X7 : $int,X11 : map_int_int] : ((~$less(X0,X1) & ~$less(X0,X7) & ~$less(X7,0) & ~$less(X1,0) & ~$less(X0,0)) => (X1 != X7 => ((~$less(X0,X7) & ~$less(X7,0) & ~$less(X0,X1) & ~$less(X1,0)) => ! [X8 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X1,X7,X8) => ($sum(X1,X8) != X0 => ($sum(X7,X8) = X0 => ($less(0,1) => lt1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X7,X1))))))))), 4.50/1.17 inference(theory_normalization,[],[f16])). 4.50/1.17 tff(f16,negated_conjecture,( 4.50/1.17 ~! [X1 : $int,X0 : $int,X7 : $int,X11 : map_int_int] : (($lesseq(X1,X0) & $lesseq(X7,X0) & $lesseq(0,X7) & $lesseq(0,X1) & $lesseq(0,X0)) => (X1 != X7 => (($lesseq(X7,X0) & $lesseq(0,X7) & $lesseq(X1,X0) & $lesseq(0,X1)) => ! [X8 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X1,X7,X8) => ($sum(X1,X8) != X0 => ($sum(X7,X8) = X0 => ($less(0,1) => lt1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X7,X1))))))))), 4.50/1.17 inference(negated_conjecture,[],[f15])). 4.50/1.17 tff(f15,conjecture,( 4.50/1.17 ! [X1 : $int,X0 : $int,X7 : $int,X11 : map_int_int] : (($lesseq(X1,X0) & $lesseq(X7,X0) & $lesseq(0,X7) & $lesseq(0,X1) & $lesseq(0,X0)) => (X1 != X7 => (($lesseq(X7,X0) & $lesseq(0,X7) & $lesseq(X1,X0) & $lesseq(0,X1)) => ! [X8 : $int] : (is_longest_common_prefix1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X1,X7,X8) => ($sum(X1,X8) != X0 => ($sum(X7,X8) = X0 => ($less(0,1) => lt1(tb2t1(mk_array1(int,X0,t2tb2(X11))),X7,X1))))))))), 4.50/1.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 4.50/1.17 tff(f210,plain,( 4.50/1.17 ~spl6_9), 4.50/1.17 inference(avatar_split_clause,[],[f114,f207])). 4.50/1.17 tff(f207,plain,( 4.50/1.17 spl6_9 <=> sK3 = $sum(sK2,sK4)), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 4.50/1.17 tff(f114,plain,( 4.50/1.17 sK3 != $sum(sK2,sK4)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f205,plain,( 4.50/1.17 ~spl6_8), 4.50/1.17 inference(avatar_split_clause,[],[f112,f202])). 4.50/1.17 tff(f112,plain,( 4.50/1.17 ~lt1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK0,sK2)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f200,plain,( 4.50/1.17 spl6_7), 4.50/1.17 inference(avatar_split_clause,[],[f160,f197])). 4.50/1.17 tff(f197,plain,( 4.50/1.17 spl6_7 <=> $less(0,$sum(1,sK2))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 4.50/1.17 tff(f160,plain,( 4.50/1.17 $less(0,$sum(1,sK2))), 4.50/1.17 inference(evaluation,[],[f109])). 4.50/1.17 tff(f109,plain,( 4.50/1.17 ~$less(sK2,0)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f195,plain,( 4.50/1.17 spl6_6), 4.50/1.17 inference(avatar_split_clause,[],[f161,f192])). 4.50/1.17 tff(f192,plain,( 4.50/1.17 spl6_6 <=> $less(0,$sum(1,sK3))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 4.50/1.17 tff(f161,plain,( 4.50/1.17 $less(0,$sum(1,sK3))), 4.50/1.17 inference(evaluation,[],[f106])). 4.50/1.17 tff(f106,plain,( 4.50/1.17 ~$less(sK3,0)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f190,plain,( 4.50/1.17 spl6_5), 4.50/1.17 inference(avatar_split_clause,[],[f163,f187])). 4.50/1.17 tff(f187,plain,( 4.50/1.17 spl6_5 <=> $less(0,$sum($sum(sK3,1),$uminus(sK0)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 4.50/1.17 tff(f163,plain,( 4.50/1.17 $less(0,$sum($sum(sK3,1),$uminus(sK0)))), 4.50/1.17 inference(evaluation,[],[f107])). 4.50/1.17 tff(f107,plain,( 4.50/1.17 ~$less(sK3,sK0)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f185,plain,( 4.50/1.17 spl6_4), 4.50/1.17 inference(avatar_split_clause,[],[f164,f182])). 4.50/1.17 tff(f182,plain,( 4.50/1.17 spl6_4 <=> $less(0,$sum(1,sK0))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 4.50/1.17 tff(f164,plain,( 4.50/1.17 $less(0,$sum(1,sK0))), 4.50/1.17 inference(evaluation,[],[f102])). 4.50/1.17 tff(f102,plain,( 4.50/1.17 ~$less(sK0,0)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f180,plain,( 4.50/1.17 spl6_3), 4.50/1.17 inference(avatar_split_clause,[],[f115,f177])). 4.50/1.17 tff(f115,plain,( 4.50/1.17 is_longest_common_prefix1(tb2t1(mk_array1(int,sK3,t2tb2(sK1))),sK2,sK0,sK4)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f175,plain,( 4.50/1.17 spl6_2), 4.50/1.17 inference(avatar_split_clause,[],[f113,f172])). 4.50/1.17 tff(f113,plain,( 4.50/1.17 sK3 = $sum(sK0,sK4)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 tff(f170,plain,( 4.50/1.17 spl6_1), 4.50/1.17 inference(avatar_split_clause,[],[f165,f167])). 4.50/1.17 tff(f167,plain,( 4.50/1.17 spl6_1 <=> $less(0,$sum($sum(sK3,1),$uminus(sK2)))), 4.50/1.17 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 4.50/1.17 tff(f165,plain,( 4.50/1.17 $less(0,$sum($sum(sK3,1),$uminus(sK2)))), 4.50/1.17 inference(evaluation,[],[f105])). 4.50/1.17 tff(f105,plain,( 4.50/1.17 ~$less(sK3,sK2)), 4.50/1.17 inference(cnf_transformation,[],[f88])). 4.50/1.17 % SZS output end Proof for theBenchmark 4.50/1.17 % (9117)------------------------------ 4.50/1.17 % (9117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.50/1.17 % (9117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.50/1.17 % (9117)Termination reason: Refutation 4.50/1.17 4.50/1.17 % (9117)Memory used [KB]: 1961 4.50/1.17 % (9117)Time elapsed: 0.182 s 4.50/1.17 % (9117)Instructions burned: 405 (million) 4.50/1.17 % (9117)------------------------------ 4.50/1.17 % (9117)------------------------------ 4.50/1.17 % (9069)Success in time 0.803 s 4.50/1.17 EOF