0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n026.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 08:00:39 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a TFF_ problem 0.12/0.35 Running first-order theorem proving 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17940)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 (1800ds/8Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17939)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 (1800ds/34Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17942)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 (1800ds/2Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17944)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/15Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17943)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 (1800ds/37Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17938)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 (1800ds/59848Mi) 0.22/0.42 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (17945)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 (1800ds/32Mi) 0.22/0.42 % (17942)Instruction limit reached! 0.22/0.42 % (17942)------------------------------ 0.22/0.42 % (17942)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.42 % (17942)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.42 % (17942)Termination reason: Time limit 0.22/0.42 % (17942)Termination phase: Including theory axioms 0.22/0.42 0.22/0.42 % (17942)Memory used [KB]: 827 0.22/0.42 % (17942)Time elapsed: 0.004 s 0.22/0.42 % (17942)Instructions burned: 3 (million) 0.22/0.43 % (17940)Instruction limit reached! 0.22/0.43 % (17940)------------------------------ 0.22/0.43 % (17940)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (17940)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (17940)Termination reason: Time limit 0.22/0.43 % (17940)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (17940)Memory used [KB]: 968 0.22/0.43 % (17940)Time elapsed: 0.008 s 0.22/0.43 % (17940)Instructions burned: 8 (million) 0.22/0.43 % (17944)Instruction limit reached! 0.22/0.43 % (17944)------------------------------ 0.22/0.43 % (17944)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (17944)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (17944)Termination reason: Time limit 0.22/0.43 % (17944)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (17944)Memory used [KB]: 1108 0.22/0.43 % (17944)Time elapsed: 0.013 s 0.22/0.43 % (17944)Instructions burned: 15 (million) 0.22/0.44 % (17939)Instruction limit reached! 0.22/0.44 % (17939)------------------------------ 0.22/0.44 % (17939)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.44 % (17939)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.44 % (17939)Termination reason: Time limit 0.22/0.44 % (17939)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17939)Memory used [KB]: 1363 0.22/0.44 % (17939)Time elapsed: 0.024 s 0.22/0.44 % (17939)Instructions burned: 34 (million) 0.22/0.44 % (17945)Instruction limit reached! 0.22/0.44 % (17945)------------------------------ 0.22/0.44 % (17945)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.44 % (17945)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.44 % (17945)Termination reason: Time limit 0.22/0.44 % (17945)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (17945)Memory used [KB]: 1350 0.22/0.44 % (17945)Time elapsed: 0.024 s 0.22/0.44 % (17945)Instructions burned: 32 (million) 0.22/0.45 % (17943)Instruction limit reached! 0.22/0.45 % (17943)------------------------------ 0.22/0.45 % (17943)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.45 % (17943)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.45 % (17943)Termination reason: Time limit 0.22/0.45 % (17943)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (17943)Memory used [KB]: 1480 0.22/0.45 % (17943)Time elapsed: 0.028 s 0.22/0.45 % (17943)Instructions burned: 37 (million) 0.22/0.48 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (17947)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 (1799ds/26Mi) 0.22/0.48 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (17946)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 (1799ds/36Mi) 0.22/0.48 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (17948)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 (1799ds/2Mi) 0.22/0.48 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (17950)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/4Mi) 0.22/0.48 % (17948)Instruction limit reached! 0.22/0.48 % (17948)------------------------------ 0.22/0.48 % (17948)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.48 % (17948)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.48 % (17948)Termination reason: Time limit 0.22/0.48 % (17948)Termination phase: Preprocessing 3 0.22/0.48 0.22/0.48 % (17948)Memory used [KB]: 866 0.22/0.48 % (17948)Time elapsed: 0.003 s 0.22/0.48 % (17948)Instructions burned: 4 (million) 0.22/0.48 % (17950)Instruction limit reached! 0.22/0.48 % (17950)------------------------------ 0.22/0.48 % (17950)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.48 % (17950)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.48 % (17950)Termination reason: Time limit 0.22/0.48 % (17950)Termination phase: Function definition elimination 0.22/0.48 0.22/0.49 % (17950)Memory used [KB]: 902 0.22/0.49 % (17950)Time elapsed: 0.003 s 0.22/0.49 % (17950)Instructions burned: 6 (million) 0.22/0.49 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (17951)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 (1799ds/2Mi) 0.22/0.49 % (17951)Instruction limit reached! 0.22/0.49 % (17951)------------------------------ 0.22/0.49 % (17951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (17951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (17951)Termination reason: Time limit 0.22/0.49 % (17951)Termination phase: Including theory axioms 0.22/0.49 0.22/0.49 % (17951)Memory used [KB]: 827 0.22/0.49 % (17951)Time elapsed: 0.002 s 0.22/0.49 % (17951)Instructions burned: 3 (million) 0.22/0.49 % (17947)Instruction limit reached! 0.22/0.49 % (17947)------------------------------ 0.22/0.49 % (17947)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (17947)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (17947)Termination reason: Time limit 0.22/0.49 % (17947)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (17947)Memory used [KB]: 1379 0.22/0.49 % (17947)Time elapsed: 0.012 s 0.22/0.49 % (17947)Instructions burned: 26 (million) 0.22/0.49 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (17949)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.22/0.50 % (17946)Instruction limit reached! 0.22/0.50 % (17946)------------------------------ 0.22/0.50 % (17946)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (17946)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (17946)Termination reason: Time limit 0.22/0.50 % (17946)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (17946)Memory used [KB]: 1365 0.22/0.50 % (17946)Time elapsed: 0.018 s 0.22/0.50 % (17946)Instructions burned: 38 (million) 0.22/0.51 % (17949)Instruction limit reached! 0.22/0.51 % (17949)------------------------------ 0.22/0.51 % (17949)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.51 % (17949)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.51 % (17949)Termination reason: Time limit 0.22/0.51 % (17949)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (17949)Memory used [KB]: 1421 0.22/0.51 % (17949)Time elapsed: 0.016 s 0.22/0.51 % (17949)Instructions burned: 36 (million) 0.22/0.52 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (17952)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.22/0.52 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (17953)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 (1798ds/50Mi) 0.22/0.52 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (17954)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 (1798ds/2Mi) 0.22/0.52 % (17954)Instruction limit reached! 0.22/0.52 % (17954)------------------------------ 0.22/0.52 % (17954)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.52 % (17954)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.52 % (17954)Termination reason: Time limit 0.22/0.52 % (17954)Termination phase: Including theory axioms 0.22/0.52 0.22/0.52 % (17954)Memory used [KB]: 826 0.22/0.52 % (17954)Time elapsed: 0.002 s 0.22/0.52 % (17954)Instructions burned: 2 (million) 0.22/0.52 % (17937)Running in auto input_syntax mode. Trying TPTP 0.22/0.52 % (17955)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 1.29/0.53 % (17955)Instruction limit reached! 1.29/0.53 % (17955)------------------------------ 1.29/0.53 % (17955)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.29/0.53 % (17955)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.29/0.53 % (17955)Termination reason: Time limit 1.29/0.53 % (17955)Termination phase: Preprocessing 3 1.29/0.53 1.29/0.53 % (17955)Memory used [KB]: 870 1.29/0.53 % (17955)Time elapsed: 0.003 s 1.29/0.53 % (17955)Instructions burned: 4 (million) 1.29/0.53 % (17937)Running in auto input_syntax mode. Trying TPTP 1.29/0.53 % (17956)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 (1798ds/49Mi) 1.29/0.54 % (17952)Instruction limit reached! 1.29/0.54 % (17952)------------------------------ 1.29/0.54 % (17952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.29/0.54 % (17952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.29/0.54 % (17952)Termination reason: Time limit 1.29/0.54 % (17952)Termination phase: Saturation 1.29/0.54 1.29/0.54 % (17952)Memory used [KB]: 1130 1.29/0.54 % (17952)Time elapsed: 0.010 s 1.29/0.54 % (17952)Instructions burned: 21 (million) 1.29/0.54 % (17953)Instruction limit reached! 1.29/0.54 % (17953)------------------------------ 1.29/0.54 % (17953)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.29/0.54 % (17953)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.29/0.54 % (17953)Termination reason: Time limit 1.29/0.54 % (17953)Termination phase: Saturation 1.29/0.54 1.29/0.54 % (17953)Memory used [KB]: 1451 1.29/0.54 % (17953)Time elapsed: 0.019 s 1.29/0.54 % (17953)Instructions burned: 50 (million) 1.40/0.54 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.54 % (17957)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 1.40/0.55 % (17957)Instruction limit reached! 1.40/0.55 % (17957)------------------------------ 1.40/0.55 % (17957)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.55 % (17957)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.55 % (17957)Termination reason: Time limit 1.40/0.55 % (17957)Termination phase: Saturation 1.40/0.55 1.40/0.55 % (17957)Memory used [KB]: 1120 1.40/0.55 % (17957)Time elapsed: 0.007 s 1.40/0.55 % (17957)Instructions burned: 15 (million) 1.40/0.55 % (17956)Instruction limit reached! 1.40/0.55 % (17956)------------------------------ 1.40/0.55 % (17956)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.55 % (17956)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.55 % (17956)Termination reason: Time limit 1.40/0.55 % (17956)Termination phase: Saturation 1.40/0.55 1.40/0.55 % (17956)Memory used [KB]: 1471 1.40/0.55 % (17956)Time elapsed: 0.021 s 1.40/0.55 % (17956)Instructions burned: 50 (million) 1.40/0.56 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.56 % (17958)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 (1798ds/2Mi) 1.40/0.56 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.56 % (17959)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 1.40/0.56 % (17958)Instruction limit reached! 1.40/0.56 % (17958)------------------------------ 1.40/0.56 % (17958)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.56 % (17958)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.56 % (17958)Termination reason: Time limit 1.40/0.56 % (17958)Termination phase: Preprocessing 1 1.40/0.56 1.40/0.56 % (17958)Memory used [KB]: 825 1.40/0.56 % (17958)Time elapsed: 0.002 s 1.40/0.56 % (17958)Instructions burned: 3 (million) 1.40/0.57 % (17959)Instruction limit reached! 1.40/0.57 % (17959)------------------------------ 1.40/0.57 % (17959)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.57 % (17959)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.57 % (17959)Termination reason: Time limit 1.40/0.57 % (17959)Termination phase: Saturation 1.40/0.57 1.40/0.57 % (17959)Memory used [KB]: 1146 1.40/0.57 % (17959)Time elapsed: 0.007 s 1.40/0.57 % (17959)Instructions burned: 15 (million) 1.40/0.57 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.57 % (17960)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 1.40/0.57 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.57 % (17961)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 (1798ds/46Mi) 1.40/0.58 % (17960)Instruction limit reached! 1.40/0.58 % (17960)------------------------------ 1.40/0.58 % (17960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.58 % (17960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.58 % (17960)Termination reason: Time limit 1.40/0.58 % (17960)Termination phase: Saturation 1.40/0.58 1.40/0.58 % (17960)Memory used [KB]: 1172 1.40/0.58 % (17960)Time elapsed: 0.010 s 1.40/0.58 % (17960)Instructions burned: 23 (million) 1.40/0.59 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.59 % (17963)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 (1798ds/47Mi) 1.40/0.59 % (17961)Instruction limit reached! 1.40/0.59 % (17961)------------------------------ 1.40/0.59 % (17961)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.59 % (17961)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.59 % (17961)Termination reason: Time limit 1.40/0.59 % (17961)Termination phase: Saturation 1.40/0.59 1.40/0.59 % (17961)Memory used [KB]: 1422 1.40/0.59 % (17961)Time elapsed: 0.019 s 1.40/0.59 % (17961)Instructions burned: 48 (million) 1.40/0.59 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.59 % (17962)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/50Mi) 1.40/0.60 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.60 % (17965)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 (1798ds/42Mi) 1.40/0.60 % (17963)Instruction limit reached! 1.40/0.60 % (17963)------------------------------ 1.40/0.60 % (17963)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.60 % (17963)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.60 % (17963)Termination reason: Time limit 1.40/0.60 % (17963)Termination phase: Saturation 1.40/0.60 1.40/0.60 % (17963)Memory used [KB]: 1438 1.40/0.60 % (17963)Time elapsed: 0.020 s 1.40/0.60 % (17963)Instructions burned: 49 (million) 1.40/0.61 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.61 % (17966)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/43Mi) 1.40/0.61 % (17962)Instruction limit reached! 1.40/0.61 % (17962)------------------------------ 1.40/0.61 % (17962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.61 % (17962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.61 % (17962)Termination reason: Time limit 1.40/0.61 % (17962)Termination phase: Saturation 1.40/0.61 1.40/0.61 % (17962)Memory used [KB]: 1392 1.40/0.61 % (17962)Time elapsed: 0.041 s 1.40/0.61 % (17962)Instructions burned: 52 (million) 1.40/0.61 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.61 % (17967)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 1.40/0.62 % (17965)Instruction limit reached! 1.40/0.62 % (17965)------------------------------ 1.40/0.62 % (17965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.62 % (17965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.62 % (17965)Termination reason: Time limit 1.40/0.62 % (17965)Termination phase: Saturation 1.40/0.62 1.40/0.62 % (17965)Memory used [KB]: 1441 1.40/0.62 % (17965)Time elapsed: 0.038 s 1.40/0.62 % (17965)Instructions burned: 42 (million) 1.40/0.62 % (17966)Instruction limit reached! 1.40/0.62 % (17966)------------------------------ 1.40/0.62 % (17966)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.62 % (17966)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.62 % (17966)Termination reason: Time limit 1.40/0.62 % (17966)Termination phase: Saturation 1.40/0.62 1.40/0.62 % (17966)Memory used [KB]: 1702 1.40/0.62 % (17966)Time elapsed: 0.015 s 1.40/0.62 % (17966)Instructions burned: 44 (million) 1.40/0.62 % (17967)Instruction limit reached! 1.40/0.62 % (17967)------------------------------ 1.40/0.62 % (17967)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.40/0.62 % (17967)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.40/0.62 % (17967)Termination reason: Time limit 1.40/0.62 % (17967)Termination phase: Saturation 1.40/0.62 1.40/0.62 % (17967)Memory used [KB]: 1167 1.40/0.62 % (17967)Time elapsed: 0.010 s 1.40/0.62 % (17967)Instructions burned: 23 (million) 1.40/0.62 % (17937)Running in auto input_syntax mode. Trying TPTP 1.40/0.62 % (17968)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 (1797ds/21Mi) 1.92/0.63 % (17968)Instruction limit reached! 1.92/0.63 % (17968)------------------------------ 1.92/0.63 % (17968)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.92/0.63 % (17968)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.92/0.63 % (17968)Termination reason: Time limit 1.92/0.63 % (17968)Termination phase: Saturation 1.92/0.63 1.92/0.63 % (17968)Memory used [KB]: 1160 1.92/0.63 % (17968)Time elapsed: 0.010 s 1.92/0.63 % (17968)Instructions burned: 21 (million) 1.92/0.64 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.64 % (17969)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 (1797ds/41Mi) 1.92/0.64 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.64 % (17970)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/15Mi) 1.92/0.65 % (17970)Instruction limit reached! 1.92/0.65 % (17970)------------------------------ 1.92/0.65 % (17970)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.92/0.65 % (17970)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.92/0.65 % (17970)Termination reason: Time limit 1.92/0.65 % (17970)Termination phase: Saturation 1.92/0.65 1.92/0.65 % (17970)Memory used [KB]: 1159 1.92/0.65 % (17970)Time elapsed: 0.008 s 1.92/0.65 % (17970)Instructions burned: 16 (million) 1.92/0.65 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.65 % (17971)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 (1797ds/47Mi) 1.92/0.65 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.65 % (17972)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/25Mi) 1.92/0.65 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.65 % (17973)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 (1797ds/148Mi) 1.92/0.65 % (17969)Instruction limit reached! 1.92/0.65 % (17969)------------------------------ 1.92/0.65 % (17969)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.92/0.65 % (17969)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.92/0.65 % (17969)Termination reason: Time limit 1.92/0.65 % (17969)Termination phase: Saturation 1.92/0.65 1.92/0.65 % (17969)Memory used [KB]: 1493 1.92/0.65 % (17969)Time elapsed: 0.018 s 1.92/0.65 % (17969)Instructions burned: 43 (million) 1.92/0.66 % (17972)Instruction limit reached! 1.92/0.66 % (17972)------------------------------ 1.92/0.66 % (17972)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.92/0.66 % (17972)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.92/0.66 % (17972)Termination reason: Time limit 1.92/0.66 % (17972)Termination phase: Saturation 1.92/0.66 1.92/0.66 % (17972)Memory used [KB]: 1179 1.92/0.66 % (17972)Time elapsed: 0.011 s 1.92/0.66 % (17972)Instructions burned: 25 (million) 1.92/0.66 % (17937)Running in auto input_syntax mode. Trying TPTP 1.92/0.66 % (17974)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 (1797ds/100Mi) 1.92/0.67 % (17971)Instruction limit reached! 1.92/0.67 % (17971)------------------------------ 1.92/0.67 % (17971)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.92/0.67 % (17971)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.92/0.67 % (17971)Termination reason: Time limit 1.92/0.67 % (17971)Termination phase: Saturation 1.92/0.67 1.92/0.67 % (17971)Memory used [KB]: 1577 1.92/0.67 % (17971)Time elapsed: 0.020 s 1.92/0.67 % (17971)Instructions burned: 47 (million) 2.21/0.68 % (17937)Running in auto input_syntax mode. Trying TPTP 2.21/0.68 % (17976)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 (1797ds/76Mi) 2.21/0.69 % (17937)Running in auto input_syntax mode. Trying TPTP 2.21/0.69 % (17977)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 (1797ds/58Mi) 2.21/0.69 % (17973)First to succeed. 2.21/0.69 % (17973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17937" 2.21/0.69 % (17937)Running in auto input_syntax mode. Trying TPTP 2.21/0.69 % (17973)Refutation found. Thanks to Tanya! 2.21/0.69 % SZS status Theorem for theBenchmark 2.21/0.69 % SZS output start Proof for theBenchmark 2.21/0.69 tff(type_def_5, type, uni: $tType). 2.21/0.69 tff(type_def_6, type, ty: $tType). 2.21/0.69 tff(type_def_7, type, bool: $tType). 2.21/0.69 tff(type_def_8, type, tuple0: $tType). 2.21/0.69 tff(type_def_9, type, a: $tType). 2.21/0.69 tff(type_def_10, type, option_a1: $tType). 2.21/0.69 tff(type_def_11, type, list_a1: $tType). 2.21/0.69 tff(func_def_0, type, witness: ty > uni). 2.21/0.69 tff(func_def_1, type, int: ty). 2.21/0.69 tff(func_def_2, type, real: ty). 2.21/0.69 tff(func_def_3, type, bool1: ty). 2.21/0.69 tff(func_def_4, type, true: bool). 2.21/0.69 tff(func_def_5, type, false: bool). 2.21/0.69 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 2.21/0.69 tff(func_def_7, type, tuple01: ty). 2.21/0.69 tff(func_def_8, type, tuple02: tuple0). 2.21/0.69 tff(func_def_9, type, qtmark: ty). 2.21/0.69 tff(func_def_10, type, list: ty > ty). 2.21/0.69 tff(func_def_11, type, nil: ty > uni). 2.21/0.69 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 2.21/0.69 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 2.21/0.69 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 2.21/0.69 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 2.21/0.69 tff(func_def_16, type, length: (ty * uni) > $int). 2.21/0.69 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 2.21/0.69 tff(func_def_18, type, option: ty > ty). 2.21/0.69 tff(func_def_19, type, none: ty > uni). 2.21/0.69 tff(func_def_20, type, some: (ty * uni) > uni). 2.21/0.69 tff(func_def_21, type, match_option: (ty * ty * uni * uni * uni) > uni). 2.21/0.69 tff(func_def_22, type, some_proj_1: (ty * uni) > uni). 2.21/0.69 tff(func_def_23, type, nth: (ty * $int * uni) > uni). 2.21/0.69 tff(func_def_24, type, a1: ty). 2.21/0.69 tff(func_def_25, type, t2tb: a > uni). 2.21/0.69 tff(func_def_26, type, tb2t: uni > a). 2.21/0.69 tff(func_def_27, type, t2tb4: option_a1 > uni). 2.21/0.69 tff(func_def_28, type, tb2t4: uni > option_a1). 2.21/0.69 tff(func_def_29, type, t2tb3: list_a1 > uni). 2.21/0.69 tff(func_def_30, type, tb2t3: uni > list_a1). 2.21/0.69 tff(func_def_37, type, sK0: list_a1). 2.21/0.69 tff(func_def_38, type, sK1: list_a1). 2.21/0.69 tff(func_def_39, type, sK2: list_a1). 2.21/0.69 tff(func_def_40, type, sK3: a). 2.21/0.69 tff(func_def_41, type, sK4: list_a1). 2.21/0.69 tff(func_def_42, type, sK5: a). 2.21/0.69 tff(func_def_43, type, sK6: a). 2.21/0.69 tff(func_def_44, type, sK7: list_a1). 2.21/0.69 tff(func_def_45, type, sK8: list_a1). 2.21/0.69 tff(func_def_46, type, sK9: list_a1). 2.21/0.69 tff(func_def_47, type, sK10: a). 2.21/0.69 tff(func_def_48, type, sK11: list_a1). 2.21/0.69 tff(func_def_49, type, sK12: (uni * uni * ty) > uni). 2.21/0.69 tff(func_def_50, type, sK13: (uni * uni * ty) > uni). 2.21/0.69 tff(pred_def_1, type, sort: (ty * uni) > $o). 2.21/0.69 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 2.21/0.69 tff(pred_def_3, type, pal: (ty * uni * $int) > $o). 2.21/0.69 tff(f1304,plain,( 2.21/0.69 $false), 2.21/0.69 inference(subsumption_resolution,[],[f1303,f223])). 2.21/0.69 tff(f223,plain,( 2.21/0.69 ( ! [X0 : list_a1] : (tb2t3(t2tb3(X0)) = X0) )), 2.21/0.69 inference(cnf_transformation,[],[f134])). 2.21/0.69 tff(f134,plain,( 2.21/0.69 ! [X0 : list_a1] : tb2t3(t2tb3(X0)) = X0), 2.21/0.69 inference(rectify,[],[f58])). 2.21/0.69 tff(f58,axiom,( 2.21/0.69 ! [X3 : list_a1] : tb2t3(t2tb3(X3)) = X3), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f1303,plain,( 2.21/0.69 sK0 != tb2t3(t2tb3(sK0))), 2.21/0.69 inference(superposition,[],[f1254,f425])). 2.21/0.69 tff(f425,plain,( 2.21/0.69 t2tb3(sK0) = cons(a1,cons_proj_1(a1,t2tb3(sK0)),t2tb3(sK7))), 2.21/0.69 inference(backward_demodulation,[],[f332,f424])). 2.21/0.69 tff(f424,plain,( 2.21/0.69 t2tb(sK10) = cons_proj_1(a1,t2tb3(sK0))), 2.21/0.69 inference(subsumption_resolution,[],[f411,f218])). 2.21/0.69 tff(f218,plain,( 2.21/0.69 ( ! [X0 : a] : (sort(a1,t2tb(X0))) )), 2.21/0.69 inference(cnf_transformation,[],[f135])). 2.21/0.69 tff(f135,plain,( 2.21/0.69 ! [X0 : a] : sort(a1,t2tb(X0))), 2.21/0.69 inference(rectify,[],[f17])). 2.21/0.69 tff(f17,axiom,( 2.21/0.69 ! [X1 : a] : sort(a1,t2tb(X1))), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f411,plain,( 2.21/0.69 ~sort(a1,t2tb(sK10)) | t2tb(sK10) = cons_proj_1(a1,t2tb3(sK0))), 2.21/0.69 inference(superposition,[],[f234,f332])). 2.21/0.69 tff(f234,plain,( 2.21/0.69 ( ! [X2 : uni,X0 : uni,X1 : ty] : (cons_proj_1(X1,cons(X1,X0,X2)) = X0 | ~sort(X1,X0)) )), 2.21/0.69 inference(cnf_transformation,[],[f150])). 2.21/0.69 tff(f150,plain,( 2.21/0.69 ! [X0 : uni,X1 : ty,X2 : uni] : (~sort(X1,X0) | cons_proj_1(X1,cons(X1,X0,X2)) = X0)), 2.21/0.69 inference(ennf_transformation,[],[f111])). 2.21/0.69 tff(f111,plain,( 2.21/0.69 ! [X1 : ty,X2 : uni,X0 : uni] : (sort(X1,X0) => cons_proj_1(X1,cons(X1,X0,X2)) = X0)), 2.21/0.69 inference(rectify,[],[f39])). 2.21/0.69 tff(f39,axiom,( 2.21/0.69 ! [X2 : uni,X0 : ty,X16 : uni] : (sort(X0,X2) => cons_proj_1(X0,cons(X0,X2,X16)) = X2)), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f332,plain,( 2.21/0.69 t2tb3(sK0) = cons(a1,t2tb(sK10),t2tb3(sK7))), 2.21/0.69 inference(superposition,[],[f284,f287])). 2.21/0.69 tff(f287,plain,( 2.21/0.69 sK0 = tb2t3(cons(a1,t2tb(sK10),t2tb3(sK7)))), 2.21/0.69 inference(definition_unfolding,[],[f244,f237])). 2.21/0.69 tff(f237,plain,( 2.21/0.69 sK6 = sK10), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f187,plain,( 2.21/0.69 ~$less(length(a1,t2tb3(sK0)),length(a1,t2tb3(sK1))) & (((~$less(length(a1,t2tb3(sK7)),length(a1,t2tb3(sK4))) & sK0 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) & (pal(a1,t2tb3(sK7),length(a1,t2tb3(sK4))) & (sK7 = tb2t3(infix_plpl(a1,t2tb3(sK9),t2tb3(sK8))) & length(a1,t2tb3(sK4)) = length(a1,t2tb3(sK9))) & (sK8 = tb2t3(cons(a1,t2tb(sK10),t2tb3(sK11))) & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | sK0 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK11)))) & tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) = tb2t4(some(a1,t2tb(sK10))) & sK6 = sK10))) & sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4)))) & sK1 = tb2t3(cons(a1,t2tb(sK3),t2tb3(sK2))))), 2.21/0.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f179,f186,f185,f184,f183,f182,f181,f180])). 2.21/0.69 tff(f180,plain,( 2.21/0.69 ? [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))) & ? [X2 : list_a1,X3 : a] : (? [X4 : list_a1,X5 : a] : (? [X6 : a,X7 : list_a1] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != X0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X2) & tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X1)) => (~$less(length(a1,t2tb3(sK0)),length(a1,t2tb3(sK1))) & ? [X3 : a,X2 : list_a1] : (? [X5 : a,X4 : list_a1] : (? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X2) & tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = sK1))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f181,plain,( 2.21/0.69 ? [X3 : a,X2 : list_a1] : (? [X5 : a,X4 : list_a1] : (? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X2) & tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = sK1) => (? [X5 : a,X4 : list_a1] : (? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = sK2) & sK1 = tb2t3(cons(a1,t2tb(sK3),t2tb3(sK2))))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f182,plain,( 2.21/0.69 ? [X5 : a,X4 : list_a1] : (? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = sK2) => (? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(sK4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(sK4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) & sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4))))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f183,plain,( 2.21/0.69 ? [X7 : list_a1,X6 : a] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(sK4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(sK4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & X6 = X10))) => (~$less(length(a1,t2tb3(sK7)),length(a1,t2tb3(sK4))) & sK0 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) & ? [X8 : list_a1] : (pal(a1,t2tb3(sK7),length(a1,t2tb3(sK4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = sK7 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & sK6 = X10)))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f184,plain,( 2.21/0.69 ? [X8 : list_a1] : (pal(a1,t2tb3(sK7),length(a1,t2tb3(sK4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = sK7 & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & sK6 = X10)) => (pal(a1,t2tb3(sK7),length(a1,t2tb3(sK4))) & ? [X9 : list_a1] : (sK7 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK8))) & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) & ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = sK8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & sK6 = X10))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f185,plain,( 2.21/0.69 ? [X9 : list_a1] : (sK7 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK8))) & length(a1,t2tb3(X9)) = length(a1,t2tb3(sK4))) => (sK7 = tb2t3(infix_plpl(a1,t2tb3(sK9),t2tb3(sK8))) & length(a1,t2tb3(sK4)) = length(a1,t2tb3(sK9)))), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f186,plain,( 2.21/0.69 ? [X11 : list_a1,X10 : a] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = sK8 & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != sK0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & sK6 = X10) => (sK8 = tb2t3(cons(a1,t2tb(sK10),t2tb3(sK11))) & ! [X12 : list_a1] : (length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1)) | sK0 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK11)))) & tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) = tb2t4(some(a1,t2tb(sK10))) & sK6 = sK10)), 2.21/0.69 introduced(choice_axiom,[])). 2.21/0.69 tff(f179,plain,( 2.21/0.69 ? [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))) & ? [X2 : list_a1,X3 : a] : (? [X4 : list_a1,X5 : a] : (? [X6 : a,X7 : list_a1] : (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0 & ? [X8 : list_a1] : (pal(a1,t2tb3(X7),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != X0) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & X6 = X10))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X2) & tb2t3(cons(a1,t2tb(X3),t2tb3(X2))) = X1))), 2.21/0.69 inference(rectify,[],[f148])). 2.21/0.69 tff(f148,plain,( 2.21/0.69 ? [X1 : list_a1,X0 : list_a1] : (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))) & ? [X3 : list_a1,X2 : a] : (? [X4 : list_a1,X5 : a] : (? [X7 : a,X6 : list_a1] : (~$less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4))) & tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 & ? [X8 : list_a1] : (pal(a1,t2tb3(X6),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))) & ? [X11 : a,X10 : list_a1] : (tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 & ! [X12 : list_a1] : (length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1) & tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) & X7 = X11))) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0))), 2.21/0.69 inference(flattening,[],[f147])). 2.21/0.69 tff(f147,plain,( 2.21/0.69 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X5 : a,X4 : list_a1] : (? [X6 : list_a1,X7 : a] : ((? [X8 : list_a1] : (? [X11 : a,X10 : list_a1] : (((! [X12 : list_a1] : (length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1) & X7 = X11) & tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1)))) & tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8) & (pal(a1,t2tb3(X6),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9))))) & ~$less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4)))) & tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1) & tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0) & ~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))))), 2.21/0.69 inference(ennf_transformation,[],[f89])). 2.21/0.69 tff(f89,plain,( 2.21/0.69 ~! [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))) => ! [X2 : a,X3 : list_a1] : (tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 => ! [X5 : a,X4 : list_a1] : (tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3 => ! [X6 : list_a1,X7 : a] : (tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 => (~$less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4))) => ! [X8 : list_a1] : ((pal(a1,t2tb3(X6),length(a1,t2tb3(X4))) & ? [X9 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 & length(a1,t2tb3(X4)) = length(a1,t2tb3(X9)))) => ! [X11 : a,X10 : list_a1] : (tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 => (tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) => (X7 = X11 => ? [X12 : list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) = X1 & length(a1,t2tb3(X0)) = length(a1,t2tb3(X12))))))))))))), 2.21/0.69 inference(rectify,[],[f59])). 2.21/0.69 tff(f59,plain,( 2.21/0.69 ~! [X18 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X1)),length(a1,t2tb3(X18))) => ! [X4 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X4),t2tb3(X11))) = X18 => ! [X20 : list_a1,X19 : a] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X11 => ! [X22 : list_a1,X21 : a] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 => (~$less(length(a1,t2tb3(X22)),length(a1,t2tb3(X20))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X20)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X26 : list_a1,X25 : a] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(some(a1,t2tb(X25))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X18)),$uminus(1)),t2tb3(X1))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X18)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1))))))))))), 2.21/0.69 inference(theory_normalization,[],[f50])). 2.21/0.69 tff(f50,negated_conjecture,( 2.21/0.69 ~! [X18 : list_a1,X1 : list_a1] : ($lesseq(length(a1,t2tb3(X18)),length(a1,t2tb3(X1))) => ! [X4 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X4),t2tb3(X11))) = X18 => ! [X20 : list_a1,X19 : a] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X11 => ! [X22 : list_a1,X21 : a] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 => ($lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X20)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X26 : list_a1,X25 : a] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(nth(a1,$difference(length(a1,t2tb3(X18)),1),t2tb3(X1))) = tb2t4(some(a1,t2tb(X25))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X18)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1))))))))))), 2.21/0.69 inference(negated_conjecture,[],[f49])). 2.21/0.69 tff(f49,conjecture,( 2.21/0.69 ! [X18 : list_a1,X1 : list_a1] : ($lesseq(length(a1,t2tb3(X18)),length(a1,t2tb3(X1))) => ! [X4 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X4),t2tb3(X11))) = X18 => ! [X20 : list_a1,X19 : a] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X11 => ! [X22 : list_a1,X21 : a] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 => ($lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X20)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X26 : list_a1,X25 : a] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(nth(a1,$difference(length(a1,t2tb3(X18)),1),t2tb3(X1))) = tb2t4(some(a1,t2tb(X25))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X24)) = length(a1,t2tb3(X18)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1))))))))))), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f244,plain,( 2.21/0.69 sK0 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7)))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f284,plain,( 2.21/0.69 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 2.21/0.69 inference(cnf_transformation,[],[f110])). 2.21/0.69 tff(f110,plain,( 2.21/0.69 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 2.21/0.69 inference(rectify,[],[f29])). 2.21/0.69 tff(f29,axiom,( 2.21/0.69 ! [X9 : uni] : t2tb3(tb2t3(X9)) = X9), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f1254,plain,( 2.21/0.69 ( ! [X0 : uni] : (sK0 != tb2t3(cons(a1,X0,t2tb3(sK7)))) )), 2.21/0.69 inference(subsumption_resolution,[],[f1253,f478])). 2.21/0.69 tff(f478,plain,( 2.21/0.69 length(a1,t2tb3(sK1)) = $sum(2,length(a1,t2tb3(sK4)))), 2.21/0.69 inference(evaluation,[],[f477])). 2.21/0.69 tff(f477,plain,( 2.21/0.69 length(a1,t2tb3(sK1)) = $sum(1,$sum(1,length(a1,t2tb3(sK4))))), 2.21/0.69 inference(backward_demodulation,[],[f354,f466])). 2.21/0.69 tff(f466,plain,( 2.21/0.69 length(a1,cons_proj_2(a1,t2tb3(sK1))) = $sum(1,length(a1,t2tb3(sK4)))), 2.21/0.69 inference(superposition,[],[f275,f356])). 2.21/0.69 tff(f356,plain,( 2.21/0.69 cons(a1,t2tb(sK5),t2tb3(sK4)) = cons_proj_2(a1,t2tb3(sK1))), 2.21/0.69 inference(backward_demodulation,[],[f301,f338])). 2.21/0.69 tff(f338,plain,( 2.21/0.69 t2tb3(sK2) = cons_proj_2(a1,t2tb3(sK1))), 2.21/0.69 inference(superposition,[],[f264,f298])). 2.21/0.69 tff(f298,plain,( 2.21/0.69 t2tb3(sK1) = cons(a1,t2tb(sK3),t2tb3(sK2))), 2.21/0.69 inference(superposition,[],[f284,f235])). 2.21/0.69 tff(f235,plain,( 2.21/0.69 sK1 = tb2t3(cons(a1,t2tb(sK3),t2tb3(sK2)))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f264,plain,( 2.21/0.69 ( ! [X2 : ty,X0 : uni,X1 : uni] : (cons_proj_2(X2,cons(X2,X1,X0)) = X0) )), 2.21/0.69 inference(cnf_transformation,[],[f129])). 2.21/0.69 tff(f129,plain,( 2.21/0.69 ! [X0 : uni,X1 : uni,X2 : ty] : cons_proj_2(X2,cons(X2,X1,X0)) = X0), 2.21/0.69 inference(rectify,[],[f54])). 2.21/0.69 tff(f54,axiom,( 2.21/0.69 ! [X16 : uni,X2 : uni,X0 : ty] : cons_proj_2(X0,cons(X0,X2,X16)) = X16), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f301,plain,( 2.21/0.69 t2tb3(sK2) = cons(a1,t2tb(sK5),t2tb3(sK4))), 2.21/0.69 inference(superposition,[],[f284,f236])). 2.21/0.69 tff(f236,plain,( 2.21/0.69 sK2 = tb2t3(cons(a1,t2tb(sK5),t2tb3(sK4)))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f275,plain,( 2.21/0.69 ( ! [X2 : uni,X0 : ty,X1 : uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 2.21/0.69 inference(cnf_transformation,[],[f92])). 2.21/0.69 tff(f92,plain,( 2.21/0.69 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)))), 2.21/0.69 inference(rectify,[],[f53])). 2.21/0.69 tff(f53,axiom,( 2.21/0.69 ! [X0 : ty] : (0 = length(X0,nil(X0)) & ! [X1 : uni,X4 : uni] : length(X0,cons(X0,X1,X4)) = $sum(1,length(X0,X4)))), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f354,plain,( 2.21/0.69 length(a1,t2tb3(sK1)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK1))))), 2.21/0.69 inference(backward_demodulation,[],[f341,f338])). 2.21/0.69 tff(f341,plain,( 2.21/0.69 length(a1,t2tb3(sK1)) = $sum(1,length(a1,t2tb3(sK2)))), 2.21/0.69 inference(superposition,[],[f275,f298])). 2.21/0.69 tff(f1253,plain,( 2.21/0.69 ( ! [X0 : uni] : (sK0 != tb2t3(cons(a1,X0,t2tb3(sK7))) | length(a1,t2tb3(sK1)) != $sum(2,length(a1,t2tb3(sK4)))) )), 2.21/0.69 inference(forward_demodulation,[],[f1249,f241])). 2.21/0.69 tff(f241,plain,( 2.21/0.69 length(a1,t2tb3(sK4)) = length(a1,t2tb3(sK9))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f1249,plain,( 2.21/0.69 ( ! [X0 : uni] : (length(a1,t2tb3(sK1)) != $sum(2,length(a1,t2tb3(sK9))) | sK0 != tb2t3(cons(a1,X0,t2tb3(sK7)))) )), 2.21/0.69 inference(superposition,[],[f664,f322])). 2.21/0.69 tff(f322,plain,( 2.21/0.69 t2tb3(sK7) = infix_plpl(a1,t2tb3(sK9),t2tb3(sK8))), 2.21/0.69 inference(superposition,[],[f284,f242])). 2.21/0.69 tff(f242,plain,( 2.21/0.69 sK7 = tb2t3(infix_plpl(a1,t2tb3(sK9),t2tb3(sK8)))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f664,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK8)))) | length(a1,t2tb3(sK1)) != $sum(2,length(a1,X1))) )), 2.21/0.69 inference(forward_demodulation,[],[f659,f281])). 2.21/0.69 tff(f281,plain,( 2.21/0.69 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty] : (infix_plpl(X1,cons(X1,X2,X3),X0) = cons(X1,X2,infix_plpl(X1,X3,X0))) )), 2.21/0.69 inference(cnf_transformation,[],[f130])). 2.21/0.69 tff(f130,plain,( 2.21/0.69 ! [X0 : uni,X1 : ty] : (! [X2 : uni,X3 : uni] : infix_plpl(X1,cons(X1,X2,X3),X0) = cons(X1,X2,infix_plpl(X1,X3,X0)) & infix_plpl(X1,nil(X1),X0) = X0)), 2.21/0.69 inference(rectify,[],[f10])). 2.21/0.69 tff(f10,axiom,( 2.21/0.69 ! [X8 : uni,X0 : ty] : (! [X1 : uni,X4 : uni] : infix_plpl(X0,cons(X0,X1,X4),X8) = cons(X0,X1,infix_plpl(X0,X4,X8)) & infix_plpl(X0,nil(X0),X8) = X8)), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f659,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,cons(a1,X0,X1),t2tb3(sK8))) | length(a1,t2tb3(sK1)) != $sum(2,length(a1,X1))) )), 2.21/0.69 inference(evaluation,[],[f657])). 2.21/0.69 tff(f657,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,cons(a1,X0,X1),t2tb3(sK8))) | length(a1,t2tb3(sK1)) != $sum(1,$sum(1,length(a1,X1)))) )), 2.21/0.69 inference(superposition,[],[f646,f275])). 2.21/0.69 tff(f646,plain,( 2.21/0.69 ( ! [X0 : uni] : (length(a1,t2tb3(sK1)) != $sum(1,length(a1,X0)) | sK0 != tb2t3(infix_plpl(a1,X0,t2tb3(sK8)))) )), 2.21/0.69 inference(subsumption_resolution,[],[f637,f366])). 2.21/0.69 tff(f366,plain,( 2.21/0.69 t2tb3(sK8) != nil(a1)), 2.21/0.69 inference(superposition,[],[f249,f303])). 2.21/0.69 tff(f303,plain,( 2.21/0.69 t2tb3(sK8) = cons(a1,t2tb(sK10),t2tb3(sK11))), 2.21/0.69 inference(superposition,[],[f284,f240])). 2.21/0.69 tff(f240,plain,( 2.21/0.69 sK8 = tb2t3(cons(a1,t2tb(sK10),t2tb3(sK11)))), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 tff(f249,plain,( 2.21/0.69 ( ! [X2 : ty,X0 : uni,X1 : uni] : (nil(X2) != cons(X2,X0,X1)) )), 2.21/0.69 inference(cnf_transformation,[],[f189])). 2.21/0.69 tff(f189,plain,( 2.21/0.69 ! [X0 : uni,X1 : uni,X2 : ty] : nil(X2) != cons(X2,X0,X1)), 2.21/0.69 inference(rectify,[],[f86])). 2.21/0.69 tff(f86,plain,( 2.21/0.69 ! [X0 : uni,X2 : uni,X1 : ty] : nil(X1) != cons(X1,X0,X2)), 2.21/0.69 inference(rectify,[],[f6])). 2.21/0.69 tff(f6,axiom,( 2.21/0.69 ! [X5 : uni,X0 : ty,X6 : uni] : nil(X0) != cons(X0,X5,X6)), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f637,plain,( 2.21/0.69 ( ! [X0 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,t2tb3(sK8))) | length(a1,t2tb3(sK1)) != $sum(1,length(a1,X0)) | t2tb3(sK8) = nil(a1)) )), 2.21/0.69 inference(superposition,[],[f600,f231])). 2.21/0.69 tff(f231,plain,( 2.21/0.69 ( ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 2.21/0.69 inference(cnf_transformation,[],[f108])). 2.21/0.69 tff(f108,plain,( 2.21/0.69 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1)), 2.21/0.69 inference(rectify,[],[f34])). 2.21/0.69 tff(f34,axiom,( 2.21/0.69 ! [X0 : ty,X2 : uni] : (nil(X0) = X2 | cons(X0,cons_proj_1(X0,X2),cons_proj_2(X0,X2)) = X2)), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f600,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,cons_proj_2(a1,t2tb3(sK8))))) | length(a1,t2tb3(sK1)) != $sum(1,length(a1,X0))) )), 2.21/0.69 inference(forward_demodulation,[],[f599,f67])). 2.21/0.69 tff(f67,plain,( 2.21/0.69 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 2.21/0.69 introduced(theory_axiom_143,[])). 2.21/0.69 tff(f599,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,cons_proj_2(a1,t2tb3(sK8))))) | length(a1,t2tb3(sK1)) != $sum(length(a1,X0),1)) )), 2.21/0.69 inference(evaluation,[],[f598])). 2.21/0.69 tff(f598,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,cons_proj_2(a1,t2tb3(sK8))))) | length(a1,t2tb3(sK1)) != $sum(length(a1,X0),$sum(1,0))) )), 2.21/0.69 inference(forward_demodulation,[],[f590,f276])). 2.21/0.69 tff(f276,plain,( 2.21/0.69 ( ! [X0 : ty] : (0 = length(X0,nil(X0))) )), 2.21/0.69 inference(cnf_transformation,[],[f92])). 2.21/0.69 tff(f590,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (length(a1,t2tb3(sK1)) != $sum(length(a1,X0),$sum(1,length(a1,nil(a1)))) | sK0 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,cons_proj_2(a1,t2tb3(sK8)))))) )), 2.21/0.69 inference(superposition,[],[f522,f280])). 2.21/0.69 tff(f280,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : ty] : (infix_plpl(X1,nil(X1),X0) = X0) )), 2.21/0.69 inference(cnf_transformation,[],[f130])). 2.21/0.69 tff(f522,plain,( 2.21/0.69 ( ! [X2 : uni,X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X2,cons(a1,X0,infix_plpl(a1,X1,cons_proj_2(a1,t2tb3(sK8)))))) | length(a1,t2tb3(sK1)) != $sum(length(a1,X2),$sum(1,length(a1,X1)))) )), 2.21/0.69 inference(forward_demodulation,[],[f510,f275])). 2.21/0.69 tff(f510,plain,( 2.21/0.69 ( ! [X2 : uni,X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X2,cons(a1,X0,infix_plpl(a1,X1,cons_proj_2(a1,t2tb3(sK8)))))) | length(a1,t2tb3(sK1)) != $sum(length(a1,X2),length(a1,cons(a1,X0,X1)))) )), 2.21/0.69 inference(superposition,[],[f379,f281])). 2.21/0.69 tff(f379,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,infix_plpl(a1,X1,cons_proj_2(a1,t2tb3(sK8))))) | length(a1,t2tb3(sK1)) != $sum(length(a1,X0),length(a1,X1))) )), 2.21/0.69 inference(backward_demodulation,[],[f309,f368])). 2.21/0.69 tff(f368,plain,( 2.21/0.69 t2tb3(sK11) = cons_proj_2(a1,t2tb3(sK8))), 2.21/0.69 inference(superposition,[],[f264,f303])). 2.21/0.69 tff(f309,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (length(a1,t2tb3(sK1)) != $sum(length(a1,X0),length(a1,X1)) | sK0 != tb2t3(infix_plpl(a1,X0,infix_plpl(a1,X1,t2tb3(sK11))))) )), 2.21/0.69 inference(forward_demodulation,[],[f308,f221])). 2.21/0.69 tff(f221,plain,( 2.21/0.69 ( ! [X2 : uni,X0 : uni,X1 : ty] : (length(X1,infix_plpl(X1,X0,X2)) = $sum(length(X1,X0),length(X1,X2))) )), 2.21/0.69 inference(cnf_transformation,[],[f174])). 2.21/0.69 tff(f174,plain,( 2.21/0.69 ! [X0 : uni,X1 : ty,X2 : uni] : length(X1,infix_plpl(X1,X0,X2)) = $sum(length(X1,X0),length(X1,X2))), 2.21/0.69 inference(rectify,[],[f96])). 2.21/0.69 tff(f96,plain,( 2.21/0.69 ! [X1 : uni,X2 : ty,X0 : uni] : length(X2,infix_plpl(X2,X1,X0)) = $sum(length(X2,X1),length(X2,X0))), 2.21/0.69 inference(rectify,[],[f16])). 2.21/0.69 tff(f16,axiom,( 2.21/0.69 ! [X8 : uni,X12 : uni,X0 : ty] : length(X0,infix_plpl(X0,X12,X8)) = $sum(length(X0,X12),length(X0,X8))), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f308,plain,( 2.21/0.69 ( ! [X0 : uni,X1 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,infix_plpl(a1,X1,t2tb3(sK11)))) | length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,X0,X1))) )), 2.21/0.69 inference(superposition,[],[f305,f279])). 2.21/0.69 tff(f279,plain,( 2.21/0.69 ( ! [X2 : uni,X3 : ty,X0 : uni,X1 : uni] : (infix_plpl(X3,X2,infix_plpl(X3,X1,X0)) = infix_plpl(X3,infix_plpl(X3,X2,X1),X0)) )), 2.21/0.69 inference(cnf_transformation,[],[f205])). 2.21/0.69 tff(f205,plain,( 2.21/0.69 ! [X0 : uni,X1 : uni,X2 : uni,X3 : ty] : infix_plpl(X3,X2,infix_plpl(X3,X1,X0)) = infix_plpl(X3,infix_plpl(X3,X2,X1),X0)), 2.21/0.69 inference(rectify,[],[f124])). 2.21/0.69 tff(f124,plain,( 2.21/0.69 ! [X0 : uni,X2 : uni,X1 : uni,X3 : ty] : infix_plpl(X3,X1,infix_plpl(X3,X2,X0)) = infix_plpl(X3,infix_plpl(X3,X1,X2),X0)), 2.21/0.69 inference(rectify,[],[f36])). 2.21/0.69 tff(f36,axiom,( 2.21/0.69 ! [X17 : uni,X12 : uni,X8 : uni,X0 : ty] : infix_plpl(X0,X12,infix_plpl(X0,X8,X17)) = infix_plpl(X0,infix_plpl(X0,X12,X8),X17)), 2.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.21/0.69 tff(f305,plain,( 2.21/0.69 ( ! [X0 : uni] : (sK0 != tb2t3(infix_plpl(a1,X0,t2tb3(sK11))) | length(a1,t2tb3(sK1)) != length(a1,X0)) )), 2.21/0.69 inference(superposition,[],[f239,f284])). 2.21/0.69 tff(f239,plain,( 2.21/0.69 ( ! [X12 : list_a1] : (sK0 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK11))) | length(a1,t2tb3(X12)) != length(a1,t2tb3(sK1))) )), 2.21/0.69 inference(cnf_transformation,[],[f187])). 2.21/0.69 % SZS output end Proof for theBenchmark 2.21/0.69 % (17973)------------------------------ 2.21/0.69 % (17973)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.21/0.69 % (17973)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.21/0.69 % (17973)Termination reason: Refutation 2.21/0.69 2.21/0.69 % (17973)Memory used [KB]: 1491 2.21/0.69 % (17973)Time elapsed: 0.039 s 2.21/0.69 % (17973)Instructions burned: 108 (million) 2.21/0.69 % (17973)------------------------------ 2.21/0.69 % (17973)------------------------------ 2.21/0.69 % (17937)Success in time 0.314 s 2.21/0.70 EOF