0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 0.10/0.35 % Computer : n021.cluster.edu 0.10/0.35 % Model : x86_64 x86_64 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.35 % Memory : 8046.5625MB 0.10/0.35 % OS : Linux 6.8.0-71-generic 0.10/0.35 % CPULimit : 1440 0.10/0.35 % WCLimit : 180 0.10/0.35 % DateTime : Mon Jul 27 09:24:07 UTC 2026 0.10/0.36 % CPUTime : 0.12/0.39 This is a FOF_ problem 0.12/0.40 Running first-order theorem proving 0.12/0.40 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.46 % (624855)Running in auto input_syntax mode. Trying TPTP 0.12/0.46 % (624859)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=1600853099:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi) 0.51/0.49 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.49 % (624858)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1469391076:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi) 0.51/0.49 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.49 % (624857)lrs+1011_1_sp=occurrence:random_seed=1238062528:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi) 0.51/0.49 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.49 % (624860)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=829877061:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi) 0.51/0.49 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.49 % (624862)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3081079380:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi) 0.51/0.49 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.49 % (624863)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3537702600:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi) 0.51/0.49 % (624863)Refutation not found, incomplete strategy% (624863)------------------------------ 0.51/0.49 % (624863)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.51/0.49 % (624863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.51/0.49 % (624863)Termination reason: Refutation not found, incomplete strategy 0.51/0.49 0.51/0.49 % (624863)Time elapsed: 0.003 s 0.51/0.49 % (624863)Peak memory usage: 12 MB 0.51/0.49 % (624863)Instructions burned: 4 (million) 0.51/0.49 % (624863)------------------------------ 0.51/0.49 % (624863)------------------------------ 0.51/0.54 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.54 % (624861)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=585693058:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi) 0.51/0.55 % (624860)Instruction limit reached! 0.51/0.55 % (624860)------------------------------ 0.51/0.55 % (624860)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.51/0.55 % (624860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.51/0.55 % (624860)Termination reason: Instruction limit 0.51/0.55 % (624860)Termination phase: Saturation 0.51/0.55 0.51/0.55 % (624860)Time elapsed: 0.056 s 0.51/0.55 % (624860)Peak memory usage: 12 MB 0.51/0.55 % (624860)Instructions burned: 109 (million) 0.51/0.57 % (624862)Instruction limit reached! 0.51/0.57 % (624862)------------------------------ 0.51/0.57 % (624862)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.51/0.57 % (624862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.51/0.57 % (624862)Termination reason: Instruction limit 0.51/0.57 % (624862)Termination phase: Saturation 0.51/0.57 0.51/0.57 % (624862)Time elapsed: 0.075 s 0.51/0.57 % (624862)Peak memory usage: 13 MB 0.51/0.57 % (624862)Instructions burned: 133 (million) 0.51/0.57 % (624855)Running in auto input_syntax mode. Trying TPTP 0.51/0.57 % (624870)lrs+10_1_sil=2000:sos=on:random_seed=1062983474:i=135:sd=2:gtg=position:ss=axioms_1799 on theBenchmark for (1799ds/135Mi) 1.01/0.57 % (624870)Refutation not found, incomplete strategy% (624870)------------------------------ 1.01/0.57 % (624870)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.01/0.57 % (624870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.01/0.57 % (624870)Termination reason: Refutation not found, incomplete strategy 1.01/0.57 1.01/0.57 % (624870)Time elapsed: 0.001 s 1.01/0.57 % (624870)Peak memory usage: 12 MB 1.01/0.57 % (624870)------------------------------ 1.01/0.57 % (624870)------------------------------ 1.01/0.62 % (624855)Running in auto input_syntax mode. Trying TPTP 1.01/0.62 % (624872)lrs+1011_1_sil=16000:random_seed=2536437170:i=269:sd=10:ss=axioms:sgt=16_1798 on theBenchmark for (1798ds/269Mi) 1.43/0.64 % (624861)Instruction limit reached! 1.43/0.64 % (624861)------------------------------ 1.43/0.64 % (624861)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.43/0.64 % (624861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.43/0.64 % (624861)Termination reason: Instruction limit 1.43/0.64 % (624861)Termination phase: Saturation 1.43/0.64 1.43/0.64 % (624861)Time elapsed: 0.098 s 1.43/0.64 % (624861)Peak memory usage: 12 MB 1.43/0.64 % (624861)Instructions burned: 115 (million) 1.43/0.64 % (624855)Running in auto input_syntax mode. Trying TPTP 1.43/0.64 % (624873)dis+1010_4_sil=2000:sos=on:sac=on:random_seed=3101247550:i=140:sd=1:ss=axioms_1798 on theBenchmark for (1798ds/140Mi) 1.43/0.64 % (624873)Refutation not found, incomplete strategy% (624873)------------------------------ 1.43/0.64 % (624873)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.43/0.64 % (624873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.43/0.64 % (624873)Termination reason: Refutation not found, incomplete strategy 1.43/0.64 1.43/0.64 % (624873)Time elapsed: 0.001 s 1.43/0.64 % (624873)Peak memory usage: 12 MB 1.43/0.65 % (624873)------------------------------ 1.43/0.65 % (624873)------------------------------ 1.43/0.65 % (624855)Running in auto input_syntax mode. Trying TPTP 1.43/0.65 % (624875)ott+11_4:1_slsqr=8,1:to=kbo:sil=4000:spb=goal:bsr=on:slsq=on:random_seed=4218338702:s2pl=on:st=3:s2a=on:i=124:gtgl=4:sd=1:kws=inv_arity:ep=RST:gtg=position:ss=axioms:fsd=on_1798 on theBenchmark for (1798ds/124Mi) 1.72/0.71 % (624855)Running in auto input_syntax mode. Trying TPTP 1.72/0.71 % (624877)ott+1010_1_to=lpo:sil=32000:fde=none:sos=on:spb=goal_then_units:urr=on:random_seed=2353700393:st=2.5:cts=off:i=297:sd=4:ins=10:gsp=on:ss=axioms_1797 on theBenchmark for (1797ds/297Mi) 1.72/0.72 % (624855)Running in auto input_syntax mode. Trying TPTP 1.72/0.72 % (624879)lrs-1002_1_sil=2000:random_seed=407095911:i=641:sd=20:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/641Mi) 1.72/0.72 % (624875)Instruction limit reached! 1.72/0.72 % (624875)------------------------------ 1.72/0.72 % (624875)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.72/0.72 % (624875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.72/0.72 % (624875)Termination reason: Instruction limit 1.72/0.72 % (624875)Termination phase: Saturation 1.72/0.72 1.72/0.72 % (624875)Time elapsed: 0.075 s 1.72/0.72 % (624875)Peak memory usage: 13 MB 1.72/0.72 % (624875)Instructions burned: 125 (million) 1.72/0.77 % (624872)Instruction limit reached! 1.72/0.77 % (624872)------------------------------ 1.72/0.77 % (624872)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.72/0.77 % (624872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.72/0.77 % (624872)Termination reason: Instruction limit 1.72/0.77 % (624872)Termination phase: Saturation 1.72/0.77 1.72/0.77 % (624872)Time elapsed: 0.143 s 1.72/0.77 % (624872)Peak memory usage: 13 MB 1.72/0.77 % (624872)Instructions burned: 269 (million) 2.40/0.80 % (624855)Running in auto input_syntax mode. Trying TPTP 2.40/0.80 % (624883)lrs+1011_1_sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=all:erd=off:random_seed=3388424778:st=5:i=160:sup=off:ss=included_1796 on theBenchmark for (1796ds/160Mi) 2.40/0.80 % (624883)Refutation not found, incomplete strategy% (624883)------------------------------ 2.40/0.80 % (624883)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.40/0.80 % (624883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.40/0.80 % (624883)Termination reason: Refutation not found, incomplete strategy 2.40/0.80 2.40/0.80 % (624883)Time elapsed: 0.001 s 2.40/0.80 % (624883)Peak memory usage: 12 MB 2.40/0.80 % (624883)Instructions burned: 1 (million) 2.40/0.80 % (624883)------------------------------ 2.40/0.80 % (624883)------------------------------ 2.40/0.84 % (624855)Running in auto input_syntax mode. Trying TPTP 2.40/0.84 % (624884)lrs+10_16:1_sil=2000:sp=reverse_frequency:bsr=unit_only:lcm=predicate:random_seed=940746432:avsq=on:i=433:kws=inv_frequency:afp=1000:bs=unit_only:gtg=exists_sym_1796 on theBenchmark for (1796ds/433Mi) 2.40/0.86 % (624877)Instruction limit reached! 2.40/0.86 % (624877)------------------------------ 2.40/0.86 % (624877)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.40/0.86 % (624877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.40/0.86 % (624877)Termination reason: Instruction limit 2.40/0.86 % (624877)Termination phase: Saturation 2.40/0.86 2.40/0.86 % (624877)Time elapsed: 0.141 s 2.40/0.86 % (624877)Peak memory usage: 13 MB 2.40/0.86 % (624877)Instructions burned: 298 (million) 2.40/0.88 % (624855)Running in auto input_syntax mode. Trying TPTP 2.40/0.88 % (624886)lrs+1011_32_sfv=off:sil=128000:sos=all:newcnf=on:random_seed=1090377896:cond=fast:i=114:nm=2:fsr=off:gtg=all:ss=axioms_1796 on theBenchmark for (1796ds/114Mi) 2.40/0.88 % (624886)Refutation not found, incomplete strategy% (624886)------------------------------ 2.40/0.88 % (624886)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.40/0.88 % (624886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.40/0.88 % (624886)Termination reason: Refutation not found, incomplete strategy 2.40/0.88 2.40/0.88 % (624886)Time elapsed: 0.001 s 2.40/0.88 % (624886)Peak memory usage: 12 MB 2.40/0.88 % (624886)Instructions burned: 1 (million) 2.40/0.88 % (624886)------------------------------ 2.40/0.88 % (624886)------------------------------ 3.09/0.92 % (624879)Instruction limit reached! 3.09/0.92 % (624879)------------------------------ 3.09/0.92 % (624879)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.09/0.92 % (624879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.09/0.92 % (624879)Termination reason: Instruction limit 3.09/0.92 % (624879)Termination phase: Saturation 3.09/0.92 3.09/0.92 % (624879)Time elapsed: 0.202 s 3.09/0.92 % (624879)Peak memory usage: 11 MB 3.09/0.92 % (624879)Instructions burned: 641 (million) 3.09/0.95 % (624855)Running in auto input_syntax mode. Trying TPTP 3.09/0.95 % (624890)lrs+21_1_slsqr=16,1:to=lpo:sil=4000:fs=off:acc=on:alpa=true:slsq=on:random_seed=3450970673:i=126:sd=3:aac=none:doe=on:fsr=off:sup=off:ss=included:er=filter:sgt=10_1795 on theBenchmark for (1795ds/126Mi) 3.09/0.96 % (624890)Refutation not found, incomplete strategy% (624890)------------------------------ 3.09/0.96 % (624890)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.09/0.96 % (624890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.09/0.96 % (624890)Termination reason: Refutation not found, incomplete strategy 3.09/0.96 3.09/0.96 % (624890)Time elapsed: 0.002 s 3.09/0.96 % (624890)Peak memory usage: 12 MB 3.09/0.96 % (624890)Instructions burned: 2 (million) 3.09/0.96 % (624890)------------------------------ 3.09/0.96 % (624890)------------------------------ 3.09/0.98 % (624855)Running in auto input_syntax mode. Trying TPTP 3.09/0.98 % (624888)lrs+10_64_sil=16000:sos=on:urr=on:br=off:random_seed=3477505540:st=2.2:i=120:sd=1:nm=2:gtg=all:ss=axioms_1795 on theBenchmark for (1795ds/120Mi) 3.09/0.98 % (624888)Refutation not found, incomplete strategy% (624888)------------------------------ 3.09/0.98 % (624888)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.09/0.98 % (624888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.09/0.98 % (624888)Termination reason: Refutation not found, incomplete strategy 3.09/0.98 3.09/0.98 % (624888)Time elapsed: 0.002 s 3.09/0.98 % (624888)Peak memory usage: 12 MB 3.09/0.98 % (624888)Instructions burned: 2 (million) 3.09/0.98 % (624888)------------------------------ 3.09/0.98 % (624888)------------------------------ 3.09/1.00 % (624855)Running in auto input_syntax mode. Trying TPTP 3.09/1.00 % (624891)dis-1011_1_sil=64000:sp=occurrence:nwc=2:sac=on:random_seed=3896541234:i=161:gtgl=2:gtg=exists_sym_1794 on theBenchmark for (1794ds/161Mi) 4.43/1.04 % (624855)Running in auto input_syntax mode. Trying TPTP 4.43/1.04 % (624893)lrs+11_1024_sil=2000:drc=off:gs=on:flr=on:random_seed=3633673629:gsem=off:s2a=on:i=137:sd=2:fgj=on:av=off:ss=axioms:sgt=4_1794 on theBenchmark for (1794ds/137Mi) 4.43/1.08 % (624884)Instruction limit reached! 4.43/1.08 % (624884)------------------------------ 4.43/1.08 % (624884)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.43/1.08 % (624884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.43/1.08 % (624884)Termination reason: Instruction limit 4.43/1.08 % (624884)Termination phase: Saturation 4.43/1.08 4.43/1.08 % (624884)Time elapsed: 0.235 s 4.43/1.08 % (624884)Peak memory usage: 15 MB 4.43/1.08 % (624884)Instructions burned: 434 (million) 4.43/1.08 % (624891)Instruction limit reached! 4.43/1.08 % (624891)------------------------------ 4.43/1.08 % (624891)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.43/1.08 % (624891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.43/1.08 % (624891)Termination reason: Instruction limit 4.43/1.08 % (624891)Termination phase: Saturation 4.43/1.08 4.43/1.08 % (624891)Time elapsed: 0.085 s 4.43/1.08 % (624891)Peak memory usage: 12 MB 4.43/1.08 % (624891)Instructions burned: 162 (million) 4.43/1.10 % (624855)Running in auto input_syntax mode. Trying TPTP 4.43/1.10 % (624895)dis-1010_1_anc=none:sil=2000:sims=off:etr=on:sos=on:spb=units:abs=on:nwc=2:random_seed=3587079165:i=698:sd=2:kws=arity:aac=none:uhcvi=off:ss=axioms:sgt=10_1794 on theBenchmark for (1794ds/698Mi) 4.43/1.10 % (624895)Refutation not found, incomplete strategy% (624895)------------------------------ 4.43/1.10 % (624895)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.43/1.10 % (624895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.43/1.10 % (624895)Termination reason: Refutation not found, incomplete strategy 4.43/1.10 4.43/1.10 % (624895)Time elapsed: 0.002 s 4.43/1.10 % (624895)Peak memory usage: 12 MB 4.43/1.10 % (624895)Instructions burned: 2 (million) 4.43/1.10 % (624895)------------------------------ 4.43/1.10 % (624895)------------------------------ 4.43/1.10 % (624893)Instruction limit reached! 4.43/1.10 % (624893)------------------------------ 4.43/1.10 % (624893)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.43/1.10 % (624893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.43/1.10 % (624893)Termination reason: Instruction limit 4.43/1.10 % (624893)Termination phase: Saturation 4.43/1.10 4.43/1.10 % (624893)Time elapsed: 0.070 s 4.43/1.10 % (624893)Peak memory usage: 13 MB 4.43/1.10 % (624893)Instructions burned: 138 (million) 5.01/1.15 % (624855)Running in auto input_syntax mode. Trying TPTP 5.01/1.15 % (624898)dis+10_1_sil=32000:s2agt=32:random_seed=287228814:st=3:s2a=on:i=183:sd=1:gtg=position:ss=axioms_1793 on theBenchmark for (1793ds/183Mi) 5.01/1.16 % (624855)Running in auto input_syntax mode. Trying TPTP 5.01/1.16 % (624899)dis+1010_2_sil=8000:plsq=on:plsqr=1,2:fd=off:random_seed=3655184108:st=1.5:s2a=on:i=119:sd=2:sup=off:ss=axioms_1793 on theBenchmark for (1793ds/119Mi) 5.01/1.16 % (624899)Refutation not found, incomplete strategy% (624899)------------------------------ 5.01/1.16 % (624899)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.01/1.16 % (624899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.01/1.16 % (624899)Termination reason: Refutation not found, incomplete strategy 5.01/1.16 5.01/1.16 % (624899)Time elapsed: 0.001 s 5.01/1.16 % (624899)Peak memory usage: 12 MB 5.01/1.16 % (624899)Instructions burned: 1 (million) 5.01/1.16 % (624899)------------------------------ 5.01/1.16 % (624899)------------------------------ 5.01/1.18 % (624855)Running in auto input_syntax mode. Trying TPTP 5.01/1.18 % (624902)lrs+1011_1_to=lpo:sil=32000:sp=arity:spb=goal:urr=on:bsr=on:fd=preordered:nwc=0.968:br=off:newcnf=on:random_seed=616868012:s2a=on:i=130:s2at=11:bd=preordered:nm=20:ins=10:gtg=position:gsp=on_1792 on theBenchmark for (1792ds/130Mi) 5.01/1.18 % (624855)Running in auto input_syntax mode. Trying TPTP 5.01/1.18 % (624901)dis+1010_3_sil=2000:tgt=full:plsq=on:drc=off:fde=unused:sp=arity:acc=on:nwc=20:flr=on:sac=on:avsqc=2:random_seed=2059737866:s2pl=on:st=3:avsq=on:i=285:s2at=5:avsqr=52993,1048576:sd=10:afp=4000:gtg=exists_sym:ss=axioms_1792 on theBenchmark for (1792ds/285Mi) 5.30/1.24 % (624855)Running in auto input_syntax mode. Trying TPTP 5.30/1.24 % (624905)lrs+11_128_sil=2000:spb=units:lcm=predicate:nwc=20:slsqc=4:slsq=on:random_seed=59132657:cts=off:i=178:slsql=off:nm=2:av=off:fsr=off_1792 on theBenchmark for (1792ds/178Mi) 5.30/1.24 % (624898)Instruction limit reached! 5.30/1.24 % (624898)------------------------------ 5.30/1.24 % (624898)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.30/1.24 % (624898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.30/1.24 % (624898)Termination reason: Instruction limit 5.30/1.24 % (624898)Termination phase: Saturation 5.30/1.24 5.30/1.24 % (624898)Time elapsed: 0.090 s 5.30/1.24 % (624898)Peak memory usage: 13 MB 5.30/1.24 % (624898)Instructions burned: 185 (million) 5.30/1.27 % (624902)Instruction limit reached! 5.30/1.27 % (624902)------------------------------ 5.30/1.27 % (624902)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.30/1.27 % (624902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.30/1.27 % (624902)Termination reason: Instruction limit 5.30/1.27 % (624902)Termination phase: Saturation 5.30/1.27 5.30/1.27 % (624902)Time elapsed: 0.090 s 5.30/1.27 % (624902)Peak memory usage: 13 MB 5.30/1.27 % (624902)Instructions burned: 131 (million) 5.94/1.32 % (624855)Running in auto input_syntax mode. Trying TPTP 5.94/1.32 % (624909)lrs-10_3:2_anc=all:sil=8000:plsq=on:plsqc=1:plsqr=1,1:erd=off:urr=on:rp=on:br=off:sac=on:avsqc=3:random_seed=3733691437:avsq=on:s2a=on:i=270:s2at=2:nicw=on:ss=axioms_1791 on theBenchmark for (1791ds/270Mi) 5.94/1.33 % (624905)First to succeed. 5.94/1.33 % (624905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-624855" 5.94/1.33 % (624855)Running in auto input_syntax mode. Trying TPTP 5.94/1.33 % (624905)Refutation found. Thanks to Tanya! 5.94/1.33 % SZS status Theorem for theBenchmark 5.94/1.33 % SZS output start Proof for theBenchmark 5.94/1.33 fof(f3324,plain,( 5.94/1.33 $false), 5.94/1.33 inference(trivial_inequality_removal,[],[f3323])). 5.94/1.33 fof(f3323,plain,( 5.94/1.33 proj22(assoc(eX)) != proj22(assoc(eX))), 5.94/1.33 inference(forward_demodulation,[],[f3308,f2492])). 5.94/1.33 fof(f2492,plain,( 5.94/1.33 ( ! [X0] : (assoc(X0) = proj22(assoc(eX))) )), 5.94/1.33 inference(superposition,[],[f193,f2451])). 5.94/1.33 fof(f2451,plain,( 5.94/1.33 ( ! [X0] : (assoc(eX) = assoc(x2(eX,X0))) )), 5.94/1.33 inference(forward_demodulation,[],[f2347,f235])). 5.94/1.33 fof(f235,plain,( 5.94/1.33 ( ! [X0,X1] : (assoc(X0) = proj12(assoc(x2(X0,X1)))) )), 5.94/1.33 inference(superposition,[],[f106,f87])). 5.94/1.33 fof(f87,plain,( 5.94/1.33 ( ! [X0,X1] : (assoc(x2(X0,X1)) = x2(assoc(X0),assoc(X1))) )), 5.94/1.33 inference(cnf_transformation,[],[f50])). 5.94/1.33 fof(f50,plain,( 5.94/1.33 ! [X0,X1] : assoc(x2(X0,X1)) = x2(assoc(X0),assoc(X1))), 5.94/1.33 inference(rectify,[],[f19])). 5.94/1.33 fof(f19,axiom,( 5.94/1.33 ! [X9,X10] : assoc(x2(X9,X10)) = x2(assoc(X9),assoc(X10))), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.33 fof(f106,plain,( 5.94/1.33 ( ! [X0,X1] : (proj12(x2(X0,X1)) = X0) )), 5.94/1.33 inference(cnf_transformation,[],[f62])). 5.94/1.33 fof(f62,plain,( 5.94/1.33 ! [X0,X1] : proj12(x2(X0,X1)) = X0), 5.94/1.33 inference(rectify,[],[f38])). 5.94/1.33 fof(f38,axiom,( 5.94/1.33 ! [X3,X4] : proj12(x2(X3,X4)) = X3), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.33 fof(f2347,plain,( 5.94/1.33 ( ! [X0,X1] : (assoc(x2(eX,X0)) = proj12(assoc(x2(eX,x2(X0,X1))))) )), 5.94/1.33 inference(superposition,[],[f235,f2267])). 5.94/1.33 fof(f2267,plain,( 5.94/1.33 ( ! [X0,X1] : (assoc(x2(x2(eX,X0),X1)) = assoc(x2(eX,x2(X0,X1)))) )), 5.94/1.33 inference(equality_resolution,[],[f2248])). 5.94/1.33 fof(f2248,plain,( 5.94/1.33 ( ! [X2,X0,X1] : (lin(X2) != lin(x2(eX,x2(X0,X1))) | assoc(X2) = assoc(x2(x2(eX,X0),X1))) )), 5.94/1.33 inference(superposition,[],[f80,f2231])). 5.94/1.33 fof(f2231,plain,( 5.94/1.33 ( ! [X0,X1] : (lin(x2(eX,x2(X0,X1))) = lin(x2(x2(eX,X0),X1))) )), 5.94/1.33 inference(forward_demodulation,[],[f2218,f113])). 5.94/1.33 fof(f113,plain,( 5.94/1.33 ( ! [X0,X1] : (lin(x2(X0,X1)) = append(lin(X0),cons(mul,lin(X1)))) )), 5.94/1.33 inference(forward_demodulation,[],[f111,f103])). 5.94/1.33 fof(f103,plain,( 5.94/1.33 ( ! [X0] : (append(nil,X0) = X0) )), 5.94/1.33 inference(cnf_transformation,[],[f59])). 5.94/1.33 fof(f59,plain,( 5.94/1.33 ! [X0] : append(nil,X0) = X0), 5.94/1.33 inference(rectify,[],[f35])). 5.94/1.33 fof(f35,axiom,( 5.94/1.33 ! [X12] : append(nil,X12) = X12), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.33 fof(f111,plain,( 5.94/1.33 ( ! [X0,X1] : (lin(x2(X0,X1)) = append(lin(X0),cons(mul,append(nil,lin(X1))))) )), 5.94/1.33 inference(forward_demodulation,[],[f92,f105])). 5.94/1.33 fof(f105,plain,( 5.94/1.33 ( ! [X2,X0,X1] : (append(cons(X1,X2),X0) = cons(X1,append(X2,X0))) )), 5.94/1.33 inference(cnf_transformation,[],[f61])). 5.94/1.33 fof(f61,plain,( 5.94/1.33 ! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0))), 5.94/1.33 inference(rectify,[],[f37])). 5.94/1.33 fof(f37,axiom,( 5.94/1.33 ! [X12,X13,X14] : append(cons(X13,X14),X12) = cons(X13,append(X14,X12))), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.33 fof(f92,plain,( 5.94/1.33 ( ! [X0,X1] : (lin(x2(X0,X1)) = append(lin(X0),append(cons(mul,nil),lin(X1)))) )), 5.94/1.33 inference(cnf_transformation,[],[f52])). 5.94/1.33 fof(f52,plain,( 5.94/1.33 ! [X0,X1] : lin(x2(X0,X1)) = append(lin(X0),append(cons(mul,nil),lin(X1)))), 5.94/1.33 inference(rectify,[],[f24])). 5.94/1.33 fof(f24,axiom,( 5.94/1.33 ! [X11,X10] : lin(x2(X11,X10)) = append(lin(X11),append(cons(mul,nil),lin(X10)))), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.33 fof(f2218,plain,( 5.94/1.33 ( ! [X0,X1] : (append(lin(x2(eX,X0)),cons(mul,lin(X1))) = lin(x2(eX,x2(X0,X1)))) )), 5.94/1.33 inference(forward_demodulation,[],[f2197,f320])). 5.94/1.33 fof(f320,plain,( 5.94/1.33 ( ! [X0] : (cons(x,cons(mul,lin(X0))) = lin(x2(eX,X0))) )), 5.94/1.33 inference(superposition,[],[f242,f113])). 5.94/1.33 fof(f242,plain,( 5.94/1.33 ( ! [X0] : (append(lin(eX),X0) = cons(x,X0)) )), 5.94/1.33 inference(forward_demodulation,[],[f241,f103])). 5.94/1.33 fof(f241,plain,( 5.94/1.33 ( ! [X0] : (cons(x,append(nil,X0)) = append(lin(eX),X0)) )), 5.94/1.33 inference(superposition,[],[f105,f94])). 5.94/1.33 fof(f94,plain,( 5.94/1.33 lin(eX) = cons(x,nil)), 5.94/1.33 inference(cnf_transformation,[],[f26])). 5.94/1.33 fof(f26,axiom,( 5.94/1.33 lin(eX) = cons(x,nil)), 5.94/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 fof(f2197,plain,( 5.94/1.34 ( ! [X0,X1] : (append(lin(x2(eX,X0)),cons(mul,lin(X1))) = cons(x,cons(mul,lin(x2(X0,X1))))) )), 5.94/1.34 inference(superposition,[],[f329,f113])). 5.94/1.34 fof(f329,plain,( 5.94/1.34 ( ! [X0,X1] : (append(lin(x2(eX,X0)),X1) = cons(x,cons(mul,append(lin(X0),X1)))) )), 5.94/1.34 inference(forward_demodulation,[],[f325,f105])). 5.94/1.34 fof(f325,plain,( 5.94/1.34 ( ! [X0,X1] : (cons(x,append(cons(mul,lin(X0)),X1)) = append(lin(x2(eX,X0)),X1)) )), 5.94/1.34 inference(superposition,[],[f105,f320])). 5.94/1.34 fof(f80,plain,( 5.94/1.34 ( ! [X0,X1] : (lin(X0) != lin(X1) | assoc(X0) = assoc(X1)) )), 5.94/1.34 inference(cnf_transformation,[],[f65])). 5.94/1.34 fof(f65,plain,( 5.94/1.34 ! [X0,X1] : (assoc(X0) = assoc(X1) | lin(X0) != lin(X1))), 5.94/1.34 inference(ennf_transformation,[],[f46])). 5.94/1.34 fof(f46,plain,( 5.94/1.34 ~? [X0,X1] : ~(lin(X0) = lin(X1) => assoc(X0) = assoc(X1))), 5.94/1.34 inference(rectify,[],[f12])). 5.94/1.34 fof(f12,negated_conjecture,( 5.94/1.34 ~? [X7,X8] : ~(lin(X7) = lin(X8) => assoc(X8) = assoc(X7))), 5.94/1.34 inference(negated_conjecture,[status(cth)],[f11])). 5.94/1.34 fof(f11,conjecture,( 5.94/1.34 ? [X7,X8] : ~(lin(X7) = lin(X8) => assoc(X8) = assoc(X7))), 5.94/1.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 fof(f193,plain,( 5.94/1.34 ( ! [X0,X1] : (assoc(X1) = proj22(assoc(x2(X0,X1)))) )), 5.94/1.34 inference(superposition,[],[f86,f87])). 5.94/1.34 fof(f86,plain,( 5.94/1.34 ( ! [X0,X1] : (proj22(x2(X0,X1)) = X1) )), 5.94/1.34 inference(cnf_transformation,[],[f49])). 5.94/1.34 fof(f49,plain,( 5.94/1.34 ! [X0,X1] : proj22(x2(X0,X1)) = X1), 5.94/1.34 inference(rectify,[],[f18])). 5.94/1.34 fof(f18,axiom,( 5.94/1.34 ! [X3,X4] : proj22(x2(X3,X4)) = X4), 5.94/1.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 fof(f3308,plain,( 5.94/1.34 ( ! [X2] : (assoc(z(eX,X2)) != proj22(assoc(eX))) )), 5.94/1.34 inference(superposition,[],[f1950,f2492])). 5.94/1.34 fof(f1950,plain,( 5.94/1.34 ( ! [X2,X0,X1] : (assoc(x2(X1,X2)) != assoc(z(eX,X0))) )), 5.94/1.34 inference(superposition,[],[f116,f1931])). 5.94/1.34 fof(f1931,plain,( 5.94/1.34 ( ! [X0] : (assoc(z(eX,X0)) = z(assoc(eX),assoc(X0))) )), 5.94/1.34 inference(equality_resolution,[],[f1739])). 5.94/1.34 fof(f1739,plain,( 5.94/1.34 ( ! [X0,X1] : (eX != X0 | assoc(z(X0,X1)) = z(assoc(X0),assoc(X1))) )), 5.94/1.34 inference(superposition,[],[f76,f102])). 5.94/1.34 fof(f102,plain,( 5.94/1.34 ( ! [X0,X1] : (assoc(z(X0,X1)) = z(assoc(X0),assoc(X1)) | z(proj1(X0),proj2(X0)) = X0) )), 5.94/1.34 inference(cnf_transformation,[],[f68])). 5.94/1.34 fof(f68,plain,( 5.94/1.34 ! [X0,X1] : (assoc(z(X0,X1)) = z(assoc(X0),assoc(X1)) | z(proj1(X0),proj2(X0)) = X0)), 5.94/1.34 inference(ennf_transformation,[],[f58])). 5.94/1.34 fof(f58,plain,( 5.94/1.34 ! [X0,X1] : (z(proj1(X0),proj2(X0)) != X0 => assoc(z(X0,X1)) = z(assoc(X0),assoc(X1)))), 5.94/1.34 inference(rectify,[],[f34])). 5.94/1.34 fof(f34,axiom,( 5.94/1.34 ! [X12,X0] : (z(proj1(X12),proj2(X12)) != X12 => assoc(z(X12,X0)) = z(assoc(X12),assoc(X0)))), 5.94/1.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 fof(f76,plain,( 5.94/1.34 ( ! [X0,X1] : (eX != z(X0,X1)) )), 5.94/1.34 inference(cnf_transformation,[],[f44])). 5.94/1.34 fof(f44,plain,( 5.94/1.34 ! [X0,X1] : eX != z(X0,X1)), 5.94/1.34 inference(rectify,[],[f7])). 5.94/1.34 fof(f7,axiom,( 5.94/1.34 ! [X3,X4] : z(X3,X4) != eX), 5.94/1.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 fof(f116,plain,( 5.94/1.34 ( ! [X2,X3,X0,X1] : (assoc(x2(X0,X1)) != z(X2,X3)) )), 5.94/1.34 inference(superposition,[],[f77,f87])). 5.94/1.34 fof(f77,plain,( 5.94/1.34 ( ! [X2,X3,X0,X1] : (z(X0,X1) != x2(X2,X3)) )), 5.94/1.34 inference(cnf_transformation,[],[f45])). 5.94/1.34 fof(f45,plain,( 5.94/1.34 ! [X0,X1,X2,X3] : z(X0,X1) != x2(X2,X3)), 5.94/1.34 inference(rectify,[],[f8])). 5.94/1.34 fof(f8,axiom,( 5.94/1.34 ! [X3,X4,X5,X6] : z(X3,X4) != x2(X5,X6)), 5.94/1.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.94/1.34 % SZS output end Proof for theBenchmark 5.94/1.34 % (624905)------------------------------ 5.94/1.34 % (624905)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.94/1.34 % (624905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.94/1.34 % (624905)Termination reason: Refutation 5.94/1.34 5.94/1.34 % (624905)Time elapsed: 0.094 s 5.94/1.34 % (624905)Peak memory usage: 13 MB 5.94/1.34 % (624905)Instructions burned: 171 (million) 5.94/1.34 % (624905)------------------------------ 5.94/1.34 % (624905)------------------------------ 5.94/1.34 % (624855)Success in time 0.932 s 5.94/1.34 EOF