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 0.10/0.37 % Computer : n016.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 08:59:57 UTC 2026 0.10/0.37 % CPUTime : 0.10/0.41 This is a FOF_ problem 0.10/0.41 Running first-order theorem proving 0.10/0.41 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.52 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.10/0.52 % (1075817)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=863434668:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi) 0.10/0.52 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.10/0.52 % (1075819)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=2590263195:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi) 0.19/0.56 % (1075817)Instruction limit reached! 0.19/0.56 % (1075817)------------------------------ 0.19/0.56 % (1075817)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.56 % (1075817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.56 % (1075817)Termination reason: Instruction limit 0.19/0.56 % (1075817)Termination phase: Saturation 0.19/0.56 0.19/0.56 % (1075817)Time elapsed: 0.046 s 0.19/0.56 % (1075817)Peak memory usage: 12 MB 0.19/0.56 % (1075817)Instructions burned: 109 (million) 0.19/0.57 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.19/0.57 % (1075814)lrs+1011_1_sp=occurrence:random_seed=3663162842:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi) 0.19/0.57 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.19/0.57 % (1075820)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=608801915:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi) 0.19/0.57 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.19/0.57 % (1075818)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=257639626:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi) 0.19/0.58 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.19/0.58 % (1075815)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2217818131:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi) 0.19/0.59 % (1075812)Running in auto input_syntax mode. Trying TPTP 0.19/0.59 % (1075816)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3049586189:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi) 0.19/0.60 % (1075819)Instruction limit reached! 0.19/0.60 % (1075819)------------------------------ 0.19/0.60 % (1075819)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.19/0.60 % (1075819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.60 % (1075819)Termination reason: Instruction limit 0.19/0.60 % (1075819)Termination phase: Saturation 0.19/0.60 0.19/0.60 % (1075819)Time elapsed: 0.083 s 0.19/0.60 % (1075819)Peak memory usage: 12 MB 0.19/0.60 % (1075819)Instructions burned: 133 (million) 1.38/0.65 % (1075820)Instruction limit reached! 1.38/0.65 % (1075820)------------------------------ 1.38/0.65 % (1075820)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.38/0.65 % (1075820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.38/0.65 % (1075820)Termination reason: Instruction limit 1.38/0.65 % (1075820)Termination phase: Saturation 1.38/0.65 1.38/0.65 % (1075820)Time elapsed: 0.081 s 1.38/0.65 % (1075820)Peak memory usage: 12 MB 1.38/0.65 % (1075820)Instructions burned: 122 (million) 1.38/0.66 % (1075812)Running in auto input_syntax mode. Trying TPTP 1.38/0.66 % (1075823)lrs+10_1_sil=2000:sos=on:random_seed=3264931805:i=135:sd=2:gtg=position:ss=axioms_1798 on theBenchmark for (1798ds/135Mi) 1.38/0.66 % (1075823)Refutation not found, incomplete strategy% (1075823)------------------------------ 1.38/0.66 % (1075823)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.38/0.66 % (1075823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.38/0.66 % (1075823)Termination reason: Refutation not found, incomplete strategy 1.38/0.66 1.38/0.66 % (1075823)Time elapsed: 0.001 s 1.38/0.66 % (1075823)Peak memory usage: 12 MB 1.38/0.66 % (1075823)------------------------------ 1.38/0.66 % (1075823)------------------------------ 1.38/0.68 % (1075812)Running in auto input_syntax mode. Trying TPTP 1.38/0.68 % (1075829)lrs+1011_1_sil=16000:random_seed=955511463:i=269:sd=10:ss=axioms:sgt=16_1798 on theBenchmark for (1798ds/269Mi) 1.38/0.68 % (1075818)Instruction limit reached! 1.38/0.68 % (1075818)------------------------------ 1.38/0.68 % (1075818)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.38/0.68 % (1075818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.38/0.68 % (1075818)Termination reason: Instruction limit 1.38/0.68 % (1075818)Termination phase: Saturation 1.38/0.68 1.38/0.68 % (1075818)Time elapsed: 0.113 s 1.38/0.68 % (1075818)Peak memory usage: 13 MB 1.38/0.68 % (1075818)Instructions burned: 115 (million) 1.72/0.74 % (1075812)Running in auto input_syntax mode. Trying TPTP 1.72/0.74 % (1075832)ott+11_4:1_slsqr=8,1:to=kbo:sil=4000:spb=goal:bsr=on:slsq=on:random_seed=4199896795:s2pl=on:st=3:s2a=on:i=124:gtgl=4:sd=1:kws=inv_arity:ep=RST:gtg=position:ss=axioms:fsd=on_1797 on theBenchmark for (1797ds/124Mi) 1.72/0.74 % (1075832)Refutation not found, incomplete strategy% (1075832)------------------------------ 1.72/0.74 % (1075832)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.72/0.74 % (1075832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.72/0.74 % (1075832)Termination reason: Refutation not found, incomplete strategy 1.72/0.74 1.72/0.74 % (1075832)Time elapsed: 0.001 s 1.72/0.74 % (1075832)Peak memory usage: 12 MB 1.72/0.74 % (1075832)------------------------------ 1.72/0.74 % (1075832)------------------------------ 1.72/0.78 % (1075812)Running in auto input_syntax mode. Trying TPTP 1.72/0.78 % (1075830)dis+1010_4_sil=2000:sos=on:sac=on:random_seed=581159725:i=140:sd=1:ss=axioms_1797 on theBenchmark for (1797ds/140Mi) 1.72/0.78 % (1075830)Refutation not found, incomplete strategy% (1075830)------------------------------ 1.72/0.78 % (1075830)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.72/0.78 % (1075830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.72/0.78 % (1075830)Termination reason: Refutation not found, incomplete strategy 1.72/0.78 1.72/0.78 % (1075830)Time elapsed: 0.001 s 1.72/0.78 % (1075830)Peak memory usage: 12 MB 1.72/0.78 % (1075830)------------------------------ 1.72/0.78 % (1075830)------------------------------ 2.18/0.81 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.18/0.81 % (1075834)ott+1010_1_to=lpo:sil=32000:fde=none:sos=on:spb=goal_then_units:urr=on:random_seed=3091728738:st=2.5:cts=off:i=297:sd=4:ins=10:gsp=on:ss=axioms_1797 on theBenchmark for (1797ds/297Mi) 2.18/0.81 % (1075834)Refutation not found, incomplete strategy% (1075834)------------------------------ 2.18/0.81 % (1075834)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.18/0.81 % (1075834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.18/0.81 % (1075834)Termination reason: Refutation not found, incomplete strategy 2.18/0.81 2.18/0.81 % (1075834)Time elapsed: 0.001 s 2.18/0.81 % (1075834)Peak memory usage: 12 MB 2.18/0.81 % (1075834)------------------------------ 2.18/0.81 % (1075834)------------------------------ 2.18/0.84 % (1075829)Instruction limit reached! 2.18/0.84 % (1075829)------------------------------ 2.18/0.84 % (1075829)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.18/0.84 % (1075829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.18/0.84 % (1075829)Termination reason: Instruction limit 2.18/0.84 % (1075829)Termination phase: Saturation 2.18/0.84 2.18/0.84 % (1075829)Time elapsed: 0.160 s 2.18/0.84 % (1075829)Peak memory usage: 13 MB 2.18/0.84 % (1075829)Instructions burned: 269 (million) 2.18/0.85 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.18/0.85 % (1075836)lrs-1002_1_sil=2000:random_seed=623269157:i=641:sd=20:ss=axioms:sgt=8_1796 on theBenchmark for (1796ds/641Mi) 2.18/0.86 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.18/0.86 % (1075838)lrs+1011_1_sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=all:erd=off:random_seed=2072590795:st=5:i=160:sup=off:ss=included_1796 on theBenchmark for (1796ds/160Mi) 2.18/0.89 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.18/0.89 % (1075840)lrs+10_16:1_sil=2000:sp=reverse_frequency:bsr=unit_only:lcm=predicate:random_seed=3133847008:avsq=on:i=433:kws=inv_frequency:afp=1000:bs=unit_only:gtg=exists_sym_1796 on theBenchmark for (1796ds/433Mi) 2.82/0.92 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.82/0.92 % (1075841)lrs+1011_32_sfv=off:sil=128000:sos=all:newcnf=on:random_seed=400506003:cond=fast:i=114:nm=2:fsr=off:gtg=all:ss=axioms_1795 on theBenchmark for (1795ds/114Mi) 2.82/0.95 % (1075838)Instruction limit reached! 2.82/0.95 % (1075838)------------------------------ 2.82/0.95 % (1075838)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.82/0.95 % (1075838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.82/0.95 % (1075838)Termination reason: Instruction limit 2.82/0.95 % (1075838)Termination phase: Saturation 2.82/0.95 2.82/0.95 % (1075838)Time elapsed: 0.084 s 2.82/0.95 % (1075838)Peak memory usage: 13 MB 2.82/0.95 % (1075838)Instructions burned: 162 (million) 2.82/1.00 % (1075841)Instruction limit reached! 2.82/1.00 % (1075841)------------------------------ 2.82/1.00 % (1075841)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.82/1.00 % (1075841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.82/1.00 % (1075841)Termination reason: Instruction limit 2.82/1.00 % (1075841)Termination phase: Saturation 2.82/1.00 2.82/1.00 % (1075841)Time elapsed: 0.075 s 2.82/1.00 % (1075841)Peak memory usage: 14 MB 2.82/1.00 % (1075841)Instructions burned: 116 (million) 2.82/1.03 % (1075812)Running in auto input_syntax mode. Trying TPTP 2.82/1.03 % (1075846)lrs+10_64_sil=16000:sos=on:urr=on:br=off:random_seed=377027269:st=2.2:i=120:sd=1:nm=2:gtg=all:ss=axioms_1794 on theBenchmark for (1794ds/120Mi) 2.82/1.03 % (1075846)Refutation not found, incomplete strategy% (1075846)------------------------------ 2.82/1.03 % (1075846)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.82/1.03 % (1075846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.82/1.03 % (1075846)Termination reason: Refutation not found, incomplete strategy 2.82/1.03 2.82/1.03 % (1075846)Time elapsed: 0.001 s 2.82/1.03 % (1075846)Peak memory usage: 11 MB 2.82/1.03 % (1075846)------------------------------ 2.82/1.03 % (1075846)------------------------------ 4.31/1.08 % (1075812)Running in auto input_syntax mode. Trying TPTP 4.31/1.08 % (1075847)lrs+21_1_slsqr=16,1:to=lpo:sil=4000:fs=off:acc=on:alpa=true:slsq=on:random_seed=3201536605:i=126:sd=3:aac=none:doe=on:fsr=off:sup=off:ss=included:er=filter:sgt=10_1794 on theBenchmark for (1794ds/126Mi) 4.31/1.12 % (1075812)Running in auto input_syntax mode. Trying TPTP 4.31/1.12 % (1075849)dis-1011_1_sil=64000:sp=occurrence:nwc=2:sac=on:random_seed=4210787485:i=161:gtgl=2:gtg=exists_sym_1793 on theBenchmark for (1793ds/161Mi) 4.31/1.14 % (1075847)Instruction limit reached! 4.31/1.14 % (1075847)------------------------------ 4.31/1.14 % (1075847)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.31/1.14 % (1075847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.31/1.14 % (1075847)Termination reason: Instruction limit 4.31/1.14 % (1075847)Termination phase: Saturation 4.31/1.14 4.31/1.14 % (1075847)Time elapsed: 0.065 s 4.31/1.14 % (1075847)Peak memory usage: 15 MB 4.31/1.14 % (1075847)Instructions burned: 127 (million) 4.31/1.17 % (1075840)Instruction limit reached! 4.31/1.17 % (1075840)------------------------------ 4.31/1.17 % (1075840)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.31/1.17 % (1075840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.31/1.17 % (1075840)Termination reason: Instruction limit 4.31/1.17 % (1075840)Termination phase: Saturation 4.31/1.17 4.31/1.17 % (1075840)Time elapsed: 0.275 s 4.31/1.17 % (1075840)Peak memory usage: 18 MB 4.31/1.17 % (1075840)Instructions burned: 434 (million) 4.90/1.20 % (1075849)Instruction limit reached! 4.90/1.20 % (1075849)------------------------------ 4.90/1.20 % (1075849)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 4.90/1.20 % (1075849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.90/1.20 % (1075849)Termination reason: Instruction limit 4.90/1.20 % (1075849)Termination phase: Saturation 4.90/1.20 4.90/1.20 % (1075849)Time elapsed: 0.084 s 4.90/1.20 % (1075849)Peak memory usage: 12 MB 4.90/1.20 % (1075849)Instructions burned: 162 (million) 5.08/1.22 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.08/1.22 % (1075852)lrs+11_1024_sil=2000:drc=off:gs=on:flr=on:random_seed=2595242298:gsem=off:s2a=on:i=137:sd=2:fgj=on:av=off:ss=axioms:sgt=4_1792 on theBenchmark for (1792ds/137Mi) 5.08/1.22 % (1075852)Refutation not found, incomplete strategy% (1075852)------------------------------ 5.08/1.22 % (1075852)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.08/1.22 % (1075852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.08/1.22 % (1075852)Termination reason: Refutation not found, incomplete strategy 5.08/1.22 5.08/1.22 % (1075852)Time elapsed: 0.001 s 5.08/1.22 % (1075852)Peak memory usage: 12 MB 5.08/1.22 % (1075852)------------------------------ 5.08/1.22 % (1075852)------------------------------ 5.08/1.25 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.08/1.25 % (1075853)dis-1010_1_anc=none:sil=2000:sims=off:etr=on:sos=on:spb=units:abs=on:nwc=2:random_seed=119327229:i=698:sd=2:kws=arity:aac=none:uhcvi=off:ss=axioms:sgt=10_1792 on theBenchmark for (1792ds/698Mi) 5.08/1.25 % (1075853)Refutation not found, incomplete strategy% (1075853)------------------------------ 5.08/1.25 % (1075853)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.08/1.25 % (1075853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.08/1.25 % (1075853)Termination reason: Refutation not found, incomplete strategy 5.08/1.25 5.08/1.25 % (1075853)Time elapsed: 0.001 s 5.08/1.25 % (1075853)Peak memory usage: 12 MB 5.08/1.25 % (1075853)------------------------------ 5.08/1.25 % (1075853)------------------------------ 5.08/1.28 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.08/1.28 % (1075854)dis+10_1_sil=32000:s2agt=32:random_seed=1519612758:st=3:s2a=on:i=183:sd=1:gtg=position:ss=axioms_1792 on theBenchmark for (1792ds/183Mi) 5.08/1.28 % (1075854)Refutation not found, incomplete strategy% (1075854)------------------------------ 5.08/1.28 % (1075854)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.08/1.28 % (1075854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.08/1.28 % (1075854)Termination reason: Refutation not found, incomplete strategy 5.08/1.28 5.08/1.28 % (1075854)Time elapsed: 0.001 s 5.08/1.28 % (1075854)Peak memory usage: 12 MB 5.08/1.28 % (1075854)------------------------------ 5.08/1.28 % (1075854)------------------------------ 5.87/1.30 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.87/1.30 % (1075856)dis+1010_2_sil=8000:plsq=on:plsqr=1,2:fd=off:random_seed=3471951003:st=1.5:s2a=on:i=119:sd=2:sup=off:ss=axioms_1791 on theBenchmark for (1791ds/119Mi) 5.87/1.30 % (1075856)Refutation not found, incomplete strategy% (1075856)------------------------------ 5.87/1.30 % (1075856)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.87/1.30 % (1075856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.87/1.30 % (1075856)Termination reason: Refutation not found, incomplete strategy 5.87/1.30 5.87/1.30 % (1075856)Time elapsed: 0.001 s 5.87/1.30 % (1075856)Peak memory usage: 12 MB 5.87/1.30 % (1075856)------------------------------ 5.87/1.30 % (1075856)------------------------------ 5.87/1.33 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.87/1.33 % (1075858)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=992000822:s2pl=on:st=3:avsq=on:i=285:s2at=5:avsqr=52993,1048576:sd=10:afp=4000:gtg=exists_sym:ss=axioms_1791 on theBenchmark for (1791ds/285Mi) 5.87/1.36 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.87/1.36 % (1075860)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=1687729684:s2a=on:i=130:s2at=11:bd=preordered:nm=20:ins=10:gtg=position:gsp=on_1791 on theBenchmark for (1791ds/130Mi) 5.87/1.38 % (1075812)Running in auto input_syntax mode. Trying TPTP 5.87/1.38 % (1075862)lrs+11_128_sil=2000:spb=units:lcm=predicate:nwc=20:slsqc=4:slsq=on:random_seed=3151775793:cts=off:i=178:slsql=off:nm=2:av=off:fsr=off_1791 on theBenchmark for (1791ds/178Mi) 6.37/1.41 % (1075836)Instruction limit reached! 6.37/1.41 % (1075836)------------------------------ 6.37/1.41 % (1075836)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.37/1.41 % (1075836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.37/1.41 % (1075836)Termination reason: Instruction limit 6.37/1.41 % (1075836)Termination phase: Saturation 6.37/1.41 6.37/1.41 % (1075836)Time elapsed: 0.566 s 6.37/1.41 % (1075836)Peak memory usage: 16 MB 6.37/1.41 % (1075836)Instructions burned: 642 (million) 6.37/1.44 % (1075860)Instruction limit reached! 6.37/1.44 % (1075860)------------------------------ 6.37/1.44 % (1075860)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.37/1.44 % (1075860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.37/1.44 % (1075860)Termination reason: Instruction limit 6.37/1.44 % (1075860)Termination phase: Saturation 6.37/1.44 6.37/1.44 % (1075860)Time elapsed: 0.074 s 6.37/1.44 % (1075860)Peak memory usage: 14 MB 6.37/1.44 % (1075860)Instructions burned: 130 (million) 6.37/1.47 % (1075858)Instruction limit reached! 6.37/1.47 % (1075858)------------------------------ 6.37/1.47 % (1075858)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.37/1.47 % (1075858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.37/1.47 % (1075858)Termination reason: Instruction limit 6.37/1.47 % (1075858)Termination phase: Saturation 6.37/1.47 6.37/1.47 % (1075858)Time elapsed: 0.139 s 6.37/1.47 % (1075858)Peak memory usage: 13 MB 6.37/1.47 % (1075858)Instructions burned: 286 (million) 6.37/1.48 % (1075862)Instruction limit reached! 6.37/1.48 % (1075862)------------------------------ 6.37/1.48 % (1075862)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.37/1.48 % (1075862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.37/1.48 % (1075862)Termination reason: Instruction limit 6.37/1.48 % (1075862)Termination phase: Saturation 6.37/1.48 6.37/1.48 % (1075862)Time elapsed: 0.092 s 6.37/1.48 % (1075862)Peak memory usage: 12 MB 6.37/1.48 % (1075862)Instructions burned: 180 (million) 7.24/1.52 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.24/1.52 % (1075867)dis-1011_1_sil=16000:tgt=full:prc=on:bsd=on:avsql=on:sp=unary_first:spb=intro:acc=on:fd=preordered:avsqc=1:random_seed=2807109489:st=4:avsq=on:i=960:avsqr=1,16:kws=precedence:afp=100000:bd=all:ins=10:ss=axioms_1789 on theBenchmark for (1789ds/960Mi) 7.24/1.55 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.24/1.55 % (1075866)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=2751874736:avsq=on:s2a=on:i=270:s2at=2:nicw=on:ss=axioms_1790 on theBenchmark for (1790ds/270Mi) 7.24/1.55 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.24/1.55 % (1075869)lrs+11_8_slsqr=4,1:sil=2000:erd=off:spb=goal:lsd=50:s2agt=8:slsqc=3:slsq=on:random_seed=3758200481:s2pl=on:i=137:sd=2:ep=R:nm=6:av=off:ss=axioms:sgt=8_1789 on theBenchmark for (1789ds/137Mi) 7.24/1.56 % (1075869)Refutation not found, incomplete strategy% (1075869)------------------------------ 7.24/1.56 % (1075869)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.24/1.56 % (1075869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.24/1.56 % (1075869)Termination reason: Refutation not found, incomplete strategy 7.24/1.56 7.24/1.56 % (1075869)Time elapsed: 0.001 s 7.24/1.56 % (1075869)Peak memory usage: 12 MB 7.24/1.56 % (1075869)Instructions burned: 1 (million) 7.24/1.56 % (1075869)------------------------------ 7.24/1.56 % (1075869)------------------------------ 7.24/1.57 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.24/1.57 % (1075868)lrs+4_1_sfv=off:sil=16000:sos=all:random_seed=2006428839:i=183:av=off_1789 on theBenchmark for (1789ds/183Mi) 7.24/1.57 % (1075868)Refutation not found, incomplete strategy% (1075868)------------------------------ 7.24/1.57 % (1075868)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.24/1.57 % (1075868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.24/1.57 % (1075868)Termination reason: Refutation not found, incomplete strategy 7.24/1.57 7.24/1.57 % (1075868)Time elapsed: 0.001 s 7.24/1.57 % (1075868)Peak memory usage: 11 MB 7.24/1.57 % (1075868)------------------------------ 7.24/1.57 % (1075868)------------------------------ 7.73/1.64 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.73/1.64 % (1075873)lrs+1010_14_sil=4000:tgt=full:plsq=on:plsqc=3:plsqr=1,64:erd=off:spb=goal_then_units:plsql=on:slsqc=3:slsq=on:random_seed=516566788:i=274:s2at=3:sd=1:kws=arity_squared:gtg=exists_all:ss=axioms:fsd=on:sgt=16_1788 on theBenchmark for (1788ds/274Mi) 7.73/1.64 % (1075873)Refutation not found, incomplete strategy% (1075873)------------------------------ 7.73/1.64 % (1075873)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.73/1.64 % (1075873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.73/1.64 % (1075873)Termination reason: Refutation not found, incomplete strategy 7.73/1.64 7.73/1.64 % (1075873)Time elapsed: 0.001 s 7.73/1.64 % (1075873)Peak memory usage: 12 MB 7.73/1.64 % (1075873)------------------------------ 7.73/1.64 % (1075873)------------------------------ 7.73/1.67 % (1075812)Running in auto input_syntax mode. Trying TPTP 7.73/1.67 % (1075875)lrs+34_16:1_anc=all_dependent:to=lpo:sil=2000:sp=unary_first:sos=on:urr=full:fd=off:sac=on:random_seed=2735248264:i=259:aac=none:bd=preordered:ss=axioms_1788 on theBenchmark for (1788ds/259Mi) 7.73/1.67 % (1075875)Refutation not found, incomplete strategy% (1075875)------------------------------ 7.73/1.67 % (1075875)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 7.73/1.67 % (1075875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.73/1.67 % (1075875)Termination reason: Refutation not found, incomplete strategy 7.73/1.67 7.73/1.67 % (1075875)Time elapsed: 0.001 s 7.73/1.67 % (1075875)Peak memory usage: 12 MB 7.73/1.67 % (1075875)------------------------------ 7.73/1.67 % (1075875)------------------------------ 8.22/1.74 % (1075812)Running in auto input_syntax mode. Trying TPTP 8.22/1.74 % (1075877)ott+10_1_sil=8000:drc=ordering:abs=on:urr=on:br=off:random_seed=3783180302:s2a=on:cond=on:i=1197:gtg=position:ss=axioms:sgt=8_1787 on theBenchmark for (1787ds/1197Mi) 8.22/1.75 % (1075812)Running in auto input_syntax mode. Trying TPTP 8.22/1.75 % (1075879)lrs+22_32_sil=4000:plsq=on:rp=on:newcnf=on:random_seed=925296908:st=2.5:s2a=on:i=132:sd=5:ss=included_1787 on theBenchmark for (1787ds/132Mi) 8.52/1.80 % (1075866)Instruction limit reached! 8.52/1.80 % (1075866)------------------------------ 8.52/1.80 % (1075866)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.52/1.80 % (1075866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.52/1.80 % (1075866)Termination reason: Instruction limit 8.52/1.80 % (1075866)Termination phase: Saturation 8.52/1.80 8.52/1.80 % (1075866)Time elapsed: 0.245 s 8.52/1.80 % (1075866)Peak memory usage: 17 MB 8.52/1.80 % (1075866)Instructions burned: 271 (million) 8.52/1.84 % (1075879)Instruction limit reached! 8.52/1.84 % (1075879)------------------------------ 8.52/1.84 % (1075879)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 8.52/1.84 % (1075879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.52/1.84 % (1075879)Termination reason: Instruction limit 8.52/1.84 % (1075879)Termination phase: Saturation 8.52/1.84 8.52/1.84 % (1075879)Time elapsed: 0.081 s 8.52/1.84 % (1075879)Peak memory usage: 14 MB 8.52/1.84 % (1075879)Instructions burned: 133 (million) 9.38/1.93 % (1075812)Running in auto input_syntax mode. Trying TPTP 9.38/1.93 % (1075883)lrs+1002_16:1_sil=2000:sos=on:acc=on:urr=full:fd=off:newcnf=on:random_seed=2264234531:i=1517:sd=1:sup=off:ss=included_1785 on theBenchmark for (1785ds/1517Mi) 9.38/1.93 % (1075883)Refutation not found, incomplete strategy% (1075883)------------------------------ 9.38/1.93 % (1075883)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.38/1.93 % (1075883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.38/1.93 % (1075883)Termination reason: Refutation not found, incomplete strategy 9.38/1.93 9.38/1.93 % (1075883)Time elapsed: 0.001 s 9.38/1.93 % (1075883)Peak memory usage: 12 MB 9.38/1.93 % (1075883)------------------------------ 9.38/1.93 % (1075883)------------------------------ 9.38/1.94 % (1075812)Running in auto input_syntax mode. Trying TPTP 9.38/1.94 % (1075882)dis-1011_1_anc=none:to=lpo:sil=4000:plsq=on:prc=on:plsqc=3:plsqr=2804223,1048576:fdtod=off:sp=reverse_frequency:sos=on:lsd=20:abs=on:nwc=1:flr=on:random_seed=3645328715:st=3:cond=fast:prac=on:i=179:gtgl=2:bs=unit_only:ep=RS:nm=10:ins=25:amm=off:gtg=all:ss=included_1786 on theBenchmark for (1786ds/179Mi) 9.38/2.01 % (1075812)Running in auto input_syntax mode. Trying TPTP 9.38/2.01 % (1075885)ott+11_1_slsqr=12,1:sil=4000:erd=off:spb=goal:urr=on:br=off:slsq=on:random_seed=1804939568:cts=off:i=159:slsql=off:nm=6:gsp=on_1784 on theBenchmark for (1784ds/159Mi) 11.30/2.10 % (1075885)Instruction limit reached! 11.30/2.10 % (1075885)------------------------------ 11.30/2.10 % (1075885)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.30/2.10 % (1075885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.30/2.10 % (1075885)Termination reason: Instruction limit 11.30/2.10 % (1075885)Termination phase: Saturation 11.30/2.10 11.30/2.10 % (1075885)Time elapsed: 0.085 s 11.30/2.10 % (1075885)Peak memory usage: 13 MB 11.30/2.10 % (1075885)Instructions burned: 159 (million) 11.30/2.14 % (1075882)Instruction limit reached! 11.30/2.14 % (1075882)------------------------------ 11.30/2.14 % (1075882)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.30/2.14 % (1075882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.30/2.14 % (1075882)Termination reason: Instruction limit 11.30/2.14 % (1075882)Termination phase: Saturation 11.30/2.14 11.30/2.14 % (1075882)Time elapsed: 0.193 s 11.30/2.14 % (1075882)Peak memory usage: 13 MB 11.30/2.14 % (1075882)Instructions burned: 180 (million) 11.97/2.18 % (1075812)Running in auto input_syntax mode. Trying TPTP 11.97/2.18 % (1075888)lrs-1011_1_sil=2000:random_seed=2981767801:st=5:avsq=on:i=175:avsqr=1,16:ep=R:ss=included_1783 on theBenchmark for (1783ds/175Mi) 11.97/2.19 % (1075867)Instruction limit reached! 11.97/2.19 % (1075867)------------------------------ 11.97/2.19 % (1075867)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.97/2.19 % (1075867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.97/2.19 % (1075867)Termination reason: Instruction limit 11.97/2.19 % (1075867)Termination phase: Saturation 11.97/2.19 11.97/2.19 % (1075867)Time elapsed: 0.676 s 11.97/2.19 % (1075867)Peak memory usage: 20 MB 11.97/2.19 % (1075867)Instructions burned: 962 (million) 12.13/2.28 % (1075812)Running in auto input_syntax mode. Trying TPTP 12.13/2.28 % (1075889)lrs-1010_8_sil=4000:tgt=ground:drc=off:abs=on:br=off:slsq=on:random_seed=1851687408:i=176:kws=frequency:ss=axioms_1782 on theBenchmark for (1782ds/176Mi) 12.13/2.28 % (1075889)Refutation not found, incomplete strategy% (1075889)------------------------------ 12.13/2.28 % (1075889)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.13/2.28 % (1075889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.13/2.28 % (1075889)Termination reason: Refutation not found, incomplete strategy 12.13/2.28 12.13/2.28 % (1075889)Time elapsed: 0.002 s 12.13/2.28 % (1075889)Peak memory usage: 12 MB 12.13/2.28 % (1075889)Instructions burned: 1 (million) 12.13/2.28 % (1075889)------------------------------ 12.13/2.28 % (1075889)------------------------------ 12.13/2.29 % (1075888)Instruction limit reached! 12.13/2.29 % (1075888)------------------------------ 12.13/2.29 % (1075888)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.13/2.29 % (1075888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.13/2.29 % (1075888)Termination reason: Instruction limit 12.13/2.29 % (1075888)Termination phase: Saturation 12.13/2.29 12.13/2.29 % (1075888)Time elapsed: 0.117 s 12.13/2.29 % (1075888)Peak memory usage: 14 MB 12.13/2.29 % (1075888)Instructions burned: 176 (million) 12.87/2.32 % (1075812)Running in auto input_syntax mode. Trying TPTP 12.87/2.32 % (1075891)lrs+1011_3:1_to=lpo:sil=2000:plsq=on:plsqc=1:plsqr=64,1:sp=reverse_frequency:sos=on:fd=preordered:rp=on:random_seed=3404261956:i=574:aac=none:bd=all:ins=1_1782 on theBenchmark for (1782ds/574Mi) 12.87/2.38 % (1075812)Running in auto input_syntax mode. Trying TPTP 12.87/2.38 % (1075898)lrs+10_1_sil=4000:plsq=on:s2agt=16:slsqc=1:slsq=on:random_seed=48365296:st=5:s2a=on:i=879:sd=3:av=off:gtg=exists_top:ss=axioms_1781 on theBenchmark for (1781ds/879Mi) 13.28/2.44 % (1075877)Instruction limit reached! 13.28/2.44 % (1075877)------------------------------ 13.28/2.44 % (1075877)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.28/2.44 % (1075877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.28/2.44 % (1075877)Termination reason: Instruction limit 13.28/2.44 % (1075877)Termination phase: Saturation 13.28/2.44 13.28/2.44 % (1075877)Time elapsed: 0.699 s 13.28/2.44 % (1075877)Peak memory usage: 26 MB 13.28/2.44 % (1075877)Instructions burned: 1198 (million) 13.28/2.44 % (1075812)Running in auto input_syntax mode. Trying TPTP 13.28/2.44 % (1075896)dis+1010_7_anc=all_dependent:sil=64000:plsq=on:plsqr=8,1:sp=occurrence:sos=on:urr=ec_only:bsr=on:alpa=true:flr=on:slsq=on:random_seed=123808774:avsq=on:cond=on:i=116:gtgl=5:avsqr=1,32:aac=none:amm=off:gtg=all:rawr=on_1781 on theBenchmark for (1781ds/116Mi) 13.65/2.50 % (1075896)First to succeed. 13.65/2.50 % (1075896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1075812" 13.65/2.51 % (1075812)Running in auto input_syntax mode. Trying TPTP 13.65/2.51 % (1075896)Refutation found. Thanks to Tanya! 13.65/2.51 % SZS status Theorem for theBenchmark 13.65/2.51 % SZS output start Proof for theBenchmark 13.65/2.51 fof(f887,plain,( 13.65/2.51 $false), 13.65/2.51 inference(avatar_sat_refutation,[],[f54,f76,f101,f129,f141,f159,f161,f439,f444,f469,f519,f551,f565,f736,f844,f861,f877,f884,f886])). 13.65/2.51 fof(f886,plain,( 13.65/2.51 ~spl3_19 | spl3_11 | ~spl3_74), 13.65/2.51 inference(avatar_split_clause,[],[f885,f549,f120,f165])). 13.65/2.51 fof(f165,definition,( 13.65/2.51 spl3_19 <=> transitive_reflexive_rewrite(c,b)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_19])],[avatar_definition])). 13.65/2.51 fof(f120,definition,( 13.65/2.51 spl3_11 <=> equalish(b,a)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_11])],[avatar_definition])). 13.65/2.51 fof(f549,definition,( 13.65/2.51 spl3_74 <=> ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(sK1(a,b),X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_74])],[avatar_definition])). 13.65/2.51 fof(f885,plain,( 13.65/2.51 equalish(b,a) | ~transitive_reflexive_rewrite(c,b) | ~spl3_74), 13.65/2.51 inference(forward_literal_rewriting,[],[f882,f35])). 13.65/2.51 fof(f35,plain,( 13.65/2.51 ( ! [X0,X1] : (~equalish(X0,X1) | equalish(X1,X0)) )), 13.65/2.51 inference(cnf_transformation,[],[f16])). 13.65/2.51 fof(f16,plain,( 13.65/2.51 ! [X0,X1] : (equalish(X1,X0) | ~equalish(X0,X1))), 13.65/2.51 inference(ennf_transformation,[],[f4])). 13.65/2.51 fof(f4,axiom,( 13.65/2.51 ! [X0,X1] : (equalish(X0,X1) => equalish(X1,X0))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f882,plain,( 13.65/2.51 ~transitive_reflexive_rewrite(c,b) | equalish(a,b) | ~spl3_74), 13.65/2.51 inference(subsumption_resolution,[],[f552,f45])). 13.65/2.51 fof(f45,plain,( 13.65/2.51 transitive_reflexive_rewrite(a,b)), 13.65/2.51 inference(cnf_transformation,[],[f10])). 13.65/2.51 fof(f10,negated_conjecture,( 13.65/2.51 transitive_reflexive_rewrite(a,b) & transitive_reflexive_rewrite(a,c)), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f552,plain,( 13.65/2.51 ~transitive_reflexive_rewrite(c,b) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b) | ~spl3_74), 13.65/2.51 inference(resolution,[],[f550,f39])). 13.65/2.51 fof(f39,plain,( 13.65/2.51 ( ! [X0,X1] : (transitive_reflexive_rewrite(sK1(X0,X1),X1) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1)) )), 13.65/2.51 inference(cnf_transformation,[],[f30])). 13.65/2.51 fof(f30,plain,( 13.65/2.51 ! [X0,X1] : (equalish(X0,X1) | (transitive_reflexive_rewrite(sK1(X0,X1),X1) & rewrite(X0,sK1(X0,X1))) | ~transitive_reflexive_rewrite(X0,X1))), 13.65/2.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f29])). 13.65/2.51 fof(f29,plain,( 13.65/2.51 ! [X0,X1] : (? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) => (transitive_reflexive_rewrite(sK1(X0,X1),X1) & rewrite(X0,sK1(X0,X1))))), 13.65/2.51 introduced(definition,[],[choice_axiom])). 13.65/2.51 fof(f20,plain,( 13.65/2.51 ! [X0,X1] : (equalish(X0,X1) | ? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) | ~transitive_reflexive_rewrite(X0,X1))), 13.65/2.51 inference(flattening,[],[f19])). 13.65/2.51 fof(f19,plain,( 13.65/2.51 ! [X0,X1] : ((equalish(X0,X1) | ? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2))) | ~transitive_reflexive_rewrite(X0,X1))), 13.65/2.51 inference(ennf_transformation,[],[f6])). 13.65/2.51 fof(f6,axiom,( 13.65/2.51 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) => (equalish(X0,X1) | ? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2))))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f550,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(sK1(a,b),X0) | ~transitive_reflexive_rewrite(c,X0)) ) | ~spl3_74), 13.65/2.51 inference(avatar_component_clause,[],[f549])). 13.65/2.51 fof(f884,plain,( 13.65/2.51 spl3_19 | ~spl3_72), 13.65/2.51 inference(avatar_split_clause,[],[f878,f517,f165])). 13.65/2.51 fof(f517,definition,( 13.65/2.51 spl3_72 <=> equalish(c,a)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_72])],[avatar_definition])). 13.65/2.51 fof(f878,plain,( 13.65/2.51 transitive_reflexive_rewrite(c,b) | ~spl3_72), 13.65/2.51 inference(forward_literal_rewriting,[],[f521,f78])). 13.65/2.51 fof(f78,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(X0,a) | transitive_reflexive_rewrite(X0,b)) )), 13.65/2.51 inference(resolution,[],[f45,f40])). 13.65/2.51 fof(f40,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1) | transitive_reflexive_rewrite(X0,X2)) )), 13.65/2.51 inference(cnf_transformation,[],[f22])). 13.65/2.51 fof(f22,plain,( 13.65/2.51 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2))), 13.65/2.51 inference(flattening,[],[f21])). 13.65/2.51 fof(f21,plain,( 13.65/2.51 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2)))), 13.65/2.51 inference(ennf_transformation,[],[f7])). 13.65/2.51 fof(f7,axiom,( 13.65/2.51 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X0,X1) & transitive_reflexive_rewrite(X1,X2)) => transitive_reflexive_rewrite(X0,X2))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f521,plain,( 13.65/2.51 transitive_reflexive_rewrite(c,a) | ~spl3_72), 13.65/2.51 inference(resolution,[],[f518,f46])). 13.65/2.51 fof(f46,plain,( 13.65/2.51 ( ! [X0,X1] : (~equalish(X0,X1) | transitive_reflexive_rewrite(X0,X1)) )), 13.65/2.51 inference(cnf_transformation,[],[f26])). 13.65/2.51 fof(f26,plain,( 13.65/2.51 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | ~equalish(X0,X1))), 13.65/2.51 inference(ennf_transformation,[],[f11])). 13.65/2.51 fof(f11,axiom,( 13.65/2.51 ! [X0,X1] : (equalish(X0,X1) => transitive_reflexive_rewrite(X0,X1))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f518,plain,( 13.65/2.51 equalish(c,a) | ~spl3_72), 13.65/2.51 inference(avatar_component_clause,[],[f517])). 13.65/2.51 fof(f877,plain,( 13.65/2.51 spl3_65 | spl3_11 | ~spl3_120), 13.65/2.51 inference(avatar_split_clause,[],[f876,f859,f120,f462])). 13.65/2.51 fof(f462,definition,( 13.65/2.51 spl3_65 <=> ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_65])],[avatar_definition])). 13.65/2.51 fof(f859,definition,( 13.65/2.51 spl3_120 <=> ! [X0,X1] : (~rewrite(X0,sK1(a,b)) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,X1))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_120])],[avatar_definition])). 13.65/2.51 fof(f876,plain,( 13.65/2.51 ( ! [X0] : (equalish(b,a) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c)) ) | ~spl3_120), 13.65/2.51 inference(forward_literal_rewriting,[],[f875,f35])). 13.65/2.51 fof(f875,plain,( 13.65/2.51 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | equalish(a,b)) ) | ~spl3_120), 13.65/2.51 inference(subsumption_resolution,[],[f874,f45])). 13.65/2.51 fof(f874,plain,( 13.65/2.51 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_120), 13.65/2.51 inference(duplicate_literal_removal,[],[f873])). 13.65/2.51 fof(f873,plain,( 13.65/2.51 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_120), 13.65/2.51 inference(resolution,[],[f860,f38])). 13.65/2.51 fof(f38,plain,( 13.65/2.51 ( ! [X0,X1] : (rewrite(X0,sK1(X0,X1)) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1)) )), 13.65/2.51 inference(cnf_transformation,[],[f30])). 13.65/2.51 fof(f860,plain,( 13.65/2.51 ( ! [X0,X1] : (~rewrite(X0,sK1(a,b)) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,X1)) ) | ~spl3_120), 13.65/2.51 inference(avatar_component_clause,[],[f859])). 13.65/2.51 fof(f861,plain,( 13.65/2.51 spl3_120 | ~spl3_118), 13.65/2.51 inference(avatar_split_clause,[],[f853,f842,f859])). 13.65/2.51 fof(f842,definition,( 13.65/2.51 spl3_118 <=> ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X1))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_118])],[avatar_definition])). 13.65/2.51 fof(f853,plain,( 13.65/2.51 ( ! [X0,X1] : (~rewrite(X0,sK1(a,b)) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,X1)) ) | ~spl3_118), 13.65/2.51 inference(duplicate_literal_removal,[],[f852])). 13.65/2.51 fof(f852,plain,( 13.65/2.51 ( ! [X0,X1] : (~rewrite(X0,sK1(a,b)) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,X1) | ~rewrite(X0,X1)) ) | ~spl3_118), 13.65/2.51 inference(condensation,[],[f845])). 13.65/2.51 fof(f845,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X1,sK1(a,b)) | ~rewrite(X1,X0) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X0)) ) | ~spl3_118), 13.65/2.51 inference(resolution,[],[f843,f37])). 13.65/2.51 fof(f37,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK0(X1,X2)) | ~rewrite(X0,X1) | ~rewrite(X0,X2)) )), 13.65/2.51 inference(cnf_transformation,[],[f28])). 13.65/2.51 fof(f28,plain,( 13.65/2.51 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X2,sK0(X1,X2)) & transitive_reflexive_rewrite(X1,sK0(X1,X2))) | ~rewrite(X0,X1) | ~rewrite(X0,X2))), 13.65/2.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f27])). 13.65/2.51 fof(f27,plain,( 13.65/2.51 ! [X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) => (transitive_reflexive_rewrite(X2,sK0(X1,X2)) & transitive_reflexive_rewrite(X1,sK0(X1,X2))))), 13.65/2.51 introduced(definition,[],[choice_axiom])). 13.65/2.51 fof(f18,plain,( 13.65/2.51 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | ~rewrite(X0,X1) | ~rewrite(X0,X2))), 13.65/2.51 inference(flattening,[],[f17])). 13.65/2.51 fof(f17,plain,( 13.65/2.51 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | (~rewrite(X0,X1) | ~rewrite(X0,X2)))), 13.65/2.51 inference(ennf_transformation,[],[f5])). 13.65/2.51 fof(f5,axiom,( 13.65/2.51 ! [X0,X1,X2] : ((rewrite(X0,X1) & rewrite(X0,X2)) => ? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f843,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X1)) ) | ~spl3_118), 13.65/2.51 inference(avatar_component_clause,[],[f842])). 13.65/2.51 fof(f844,plain,( 13.65/2.51 spl3_118 | ~spl3_102), 13.65/2.51 inference(avatar_split_clause,[],[f837,f734,f842])). 13.65/2.51 fof(f734,definition,( 13.65/2.51 spl3_102 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,sK2(X2,sK0(sK1(a,b),X1))) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X3,sK1(a,b)) | ~rewrite(X3,X1))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_102])],[avatar_definition])). 13.65/2.51 fof(f837,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X1)) ) | ~spl3_102), 13.65/2.51 inference(duplicate_literal_removal,[],[f836])). 13.65/2.51 fof(f836,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1))) ) | ~spl3_102), 13.65/2.51 inference(condensation,[],[f835])). 13.65/2.51 fof(f835,plain,( 13.65/2.51 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(X2,sK1(a,b)) | ~rewrite(X2,X1) | ~transitive_reflexive_rewrite(X3,c) | ~transitive_reflexive_rewrite(X3,sK0(sK1(a,b),X1)) | ~rewrite(a,X3)) ) | ~spl3_102), 13.65/2.51 inference(resolution,[],[f735,f43])). 13.65/2.51 fof(f43,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK2(X1,X2)) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0)) )), 13.65/2.51 inference(cnf_transformation,[],[f32])). 13.65/2.51 fof(f32,plain,( 13.65/2.51 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,sK2(X1,X2)) & transitive_reflexive_rewrite(X2,sK2(X1,X2))) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0))), 13.65/2.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f25,f31])). 13.65/2.51 fof(f31,plain,( 13.65/2.51 ! [X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) => (transitive_reflexive_rewrite(X1,sK2(X1,X2)) & transitive_reflexive_rewrite(X2,sK2(X1,X2))))), 13.65/2.51 introduced(definition,[],[choice_axiom])). 13.65/2.51 fof(f25,plain,( 13.65/2.51 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0))), 13.65/2.51 inference(flattening,[],[f24])). 13.65/2.51 fof(f24,plain,( 13.65/2.51 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0)))), 13.65/2.51 inference(ennf_transformation,[],[f9])). 13.65/2.51 fof(f9,negated_conjecture,( 13.65/2.51 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X0,X1) & transitive_reflexive_rewrite(X0,X2) & rewrite(a,X0)) => ? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)))), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f735,plain,( 13.65/2.51 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,sK2(X2,sK0(sK1(a,b),X1))) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X3,sK1(a,b)) | ~rewrite(X3,X1)) ) | ~spl3_102), 13.65/2.51 inference(avatar_component_clause,[],[f734])). 13.65/2.51 fof(f736,plain,( 13.65/2.51 spl3_102 | ~spl3_76), 13.65/2.51 inference(avatar_split_clause,[],[f717,f563,f734])). 13.65/2.51 fof(f563,definition,( 13.65/2.51 spl3_76 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,sK2(X0,X1)) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(sK1(a,b),X1) | ~transitive_reflexive_rewrite(X2,X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_76])],[avatar_definition])). 13.65/2.51 fof(f717,plain,( 13.65/2.51 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(sK1(a,b),X1)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,sK2(X2,sK0(sK1(a,b),X1))) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X3,sK1(a,b)) | ~rewrite(X3,X1)) ) | ~spl3_76), 13.65/2.51 inference(resolution,[],[f564,f36])). 13.65/2.51 fof(f36,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK0(X1,X2)) | ~rewrite(X0,X1) | ~rewrite(X0,X2)) )), 13.65/2.51 inference(cnf_transformation,[],[f28])). 13.65/2.51 fof(f564,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK1(a,b),X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(c,sK2(X0,X1)) | ~transitive_reflexive_rewrite(X2,X0)) ) | ~spl3_76), 13.65/2.51 inference(avatar_component_clause,[],[f563])). 13.65/2.51 fof(f565,plain,( 13.65/2.51 spl3_76 | ~spl3_74), 13.65/2.51 inference(avatar_split_clause,[],[f556,f549,f563])). 13.65/2.51 fof(f556,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,sK2(X0,X1)) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(sK1(a,b),X1) | ~transitive_reflexive_rewrite(X2,X0)) ) | ~spl3_74), 13.65/2.51 inference(resolution,[],[f550,f83])). 13.65/2.51 fof(f83,plain,( 13.65/2.51 ( ! [X2,X3,X0,X1] : (transitive_reflexive_rewrite(X3,sK2(X1,X2)) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X0,X1)) )), 13.65/2.51 inference(resolution,[],[f42,f40])). 13.65/2.51 fof(f42,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK2(X1,X2)) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0)) )), 13.65/2.51 inference(cnf_transformation,[],[f32])). 13.65/2.51 fof(f551,plain,( 13.65/2.51 spl3_74 | spl3_11 | ~spl3_63), 13.65/2.51 inference(avatar_split_clause,[],[f547,f442,f120,f549])). 13.65/2.51 fof(f442,definition,( 13.65/2.51 spl3_63 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(sK1(a,X0),X1) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(sK1(a,X0),b) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_63])],[avatar_definition])). 13.65/2.51 fof(f547,plain,( 13.65/2.51 ( ! [X0] : (equalish(b,a) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(sK1(a,b),X0)) ) | ~spl3_63), 13.65/2.51 inference(forward_literal_rewriting,[],[f546,f35])). 13.65/2.51 fof(f546,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(sK1(a,b),X0) | equalish(a,b)) ) | ~spl3_63), 13.65/2.51 inference(subsumption_resolution,[],[f539,f45])). 13.65/2.51 fof(f539,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(sK1(a,b),X0) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_63), 13.65/2.51 inference(duplicate_literal_removal,[],[f538])). 13.65/2.51 fof(f538,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(sK1(a,b),X0) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_63), 13.65/2.51 inference(resolution,[],[f443,f39])). 13.65/2.51 fof(f443,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK1(a,X0),b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(sK1(a,X0),X1) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_63), 13.65/2.51 inference(avatar_component_clause,[],[f442])). 13.65/2.51 fof(f519,plain,( 13.65/2.51 spl3_72 | ~spl3_66), 13.65/2.51 inference(avatar_split_clause,[],[f515,f467,f517])). 13.65/2.51 fof(f467,definition,( 13.65/2.51 spl3_66 <=> ! [X0] : (~transitive_reflexive_rewrite(sK1(a,X0),c) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_66])],[avatar_definition])). 13.65/2.51 fof(f515,plain,( 13.65/2.51 equalish(c,a) | ~spl3_66), 13.65/2.51 inference(forward_literal_rewriting,[],[f494,f35])). 13.65/2.51 fof(f494,plain,( 13.65/2.51 equalish(a,c) | ~spl3_66), 13.65/2.51 inference(subsumption_resolution,[],[f482,f44])). 13.65/2.51 fof(f44,plain,( 13.65/2.51 transitive_reflexive_rewrite(a,c)), 13.65/2.51 inference(cnf_transformation,[],[f10])). 13.65/2.51 fof(f482,plain,( 13.65/2.51 equalish(a,c) | ~transitive_reflexive_rewrite(a,c) | ~spl3_66), 13.65/2.51 inference(duplicate_literal_removal,[],[f481])). 13.65/2.51 fof(f481,plain,( 13.65/2.51 equalish(a,c) | ~transitive_reflexive_rewrite(a,c) | equalish(a,c) | ~transitive_reflexive_rewrite(a,c) | ~spl3_66), 13.65/2.51 inference(resolution,[],[f468,f39])). 13.65/2.51 fof(f468,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(sK1(a,X0),c) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_66), 13.65/2.51 inference(avatar_component_clause,[],[f467])). 13.65/2.51 fof(f469,plain,( 13.65/2.51 spl3_66 | ~spl3_65), 13.65/2.51 inference(avatar_split_clause,[],[f465,f462,f467])). 13.65/2.51 fof(f465,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(sK1(a,X0),c) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_65), 13.65/2.51 inference(resolution,[],[f463,f38])). 13.65/2.51 fof(f463,plain,( 13.65/2.51 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c)) ) | ~spl3_65), 13.65/2.51 inference(avatar_component_clause,[],[f462])). 13.65/2.51 fof(f444,plain,( 13.65/2.51 spl3_63 | ~spl3_62), 13.65/2.51 inference(avatar_split_clause,[],[f440,f437,f442])). 13.65/2.51 fof(f437,definition,( 13.65/2.51 spl3_62 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,b))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_62])],[avatar_definition])). 13.65/2.51 fof(f440,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK1(a,X0),X1) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(sK1(a,X0),b) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_62), 13.65/2.51 inference(resolution,[],[f438,f38])). 13.65/2.51 fof(f438,plain,( 13.65/2.51 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_62), 13.65/2.51 inference(avatar_component_clause,[],[f437])). 13.65/2.51 fof(f439,plain,( 13.65/2.51 spl3_62 | ~spl3_8), 13.65/2.51 inference(avatar_split_clause,[],[f427,f99,f437])). 13.65/2.51 fof(f99,definition,( 13.65/2.51 spl3_8 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,sK2(b,X1)))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_8])],[avatar_definition])). 13.65/2.51 fof(f427,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_8), 13.65/2.51 inference(duplicate_literal_removal,[],[f426])). 13.65/2.51 fof(f426,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_8), 13.65/2.51 inference(condensation,[],[f424])). 13.65/2.51 fof(f424,plain,( 13.65/2.51 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b)) ) | ~spl3_8), 13.65/2.51 inference(resolution,[],[f83,f100])). 13.65/2.51 fof(f100,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(c,sK2(b,X1)) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_8), 13.65/2.51 inference(avatar_component_clause,[],[f99])). 13.65/2.51 fof(f161,plain,( 13.65/2.51 spl3_18), 13.65/2.51 inference(avatar_contradiction_clause,[],[f160])). 13.65/2.51 fof(f160,plain,( 13.65/2.51 $false | spl3_18), 13.65/2.51 inference(unit_resulting_resolution,[],[f47,f158,f46])). 13.65/2.51 fof(f158,plain,( 13.65/2.51 ~transitive_reflexive_rewrite(c,c) | spl3_18), 13.65/2.51 inference(avatar_component_clause,[],[f157])). 13.65/2.51 fof(f157,definition,( 13.65/2.51 spl3_18 <=> transitive_reflexive_rewrite(c,c)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_18])],[avatar_definition])). 13.65/2.51 fof(f47,plain,( 13.65/2.51 ( ! [X0] : (equalish(X0,X0)) )), 13.65/2.51 inference(cnf_transformation,[],[f12])). 13.65/2.51 fof(f12,axiom,( 13.65/2.51 ! [X0] : equalish(X0,X0)), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f159,plain,( 13.65/2.51 ~spl3_18 | ~spl3_1 | ~spl3_14), 13.65/2.51 inference(avatar_split_clause,[],[f150,f139,f49,f157])). 13.65/2.51 fof(f49,definition,( 13.65/2.51 spl3_1 <=> ! [X0] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0))), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_1])],[avatar_definition])). 13.65/2.51 fof(f139,definition,( 13.65/2.51 spl3_14 <=> transitive_reflexive_rewrite(b,c)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_14])],[avatar_definition])). 13.65/2.51 fof(f150,plain,( 13.65/2.51 ~transitive_reflexive_rewrite(c,c) | (~spl3_1 | ~spl3_14)), 13.65/2.51 inference(resolution,[],[f140,f50])). 13.65/2.51 fof(f50,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0)) ) | ~spl3_1), 13.65/2.51 inference(avatar_component_clause,[],[f49])). 13.65/2.51 fof(f140,plain,( 13.65/2.51 transitive_reflexive_rewrite(b,c) | ~spl3_14), 13.65/2.51 inference(avatar_component_clause,[],[f139])). 13.65/2.51 fof(f141,plain,( 13.65/2.51 spl3_14 | ~spl3_12), 13.65/2.51 inference(avatar_split_clause,[],[f132,f127,f139])). 13.65/2.51 fof(f127,definition,( 13.65/2.51 spl3_12 <=> transitive_reflexive_rewrite(b,a)), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_12])],[avatar_definition])). 13.65/2.51 fof(f132,plain,( 13.65/2.51 transitive_reflexive_rewrite(b,c) | ~spl3_12), 13.65/2.51 inference(resolution,[],[f128,f77])). 13.65/2.51 fof(f77,plain,( 13.65/2.51 ( ! [X0] : (~transitive_reflexive_rewrite(X0,a) | transitive_reflexive_rewrite(X0,c)) )), 13.65/2.51 inference(resolution,[],[f44,f40])). 13.65/2.51 fof(f128,plain,( 13.65/2.51 transitive_reflexive_rewrite(b,a) | ~spl3_12), 13.65/2.51 inference(avatar_component_clause,[],[f127])). 13.65/2.51 fof(f129,plain,( 13.65/2.51 spl3_12 | ~spl3_11), 13.65/2.51 inference(avatar_split_clause,[],[f123,f120,f127])). 13.65/2.51 fof(f123,plain,( 13.65/2.51 transitive_reflexive_rewrite(b,a) | ~spl3_11), 13.65/2.51 inference(resolution,[],[f121,f46])). 13.65/2.51 fof(f121,plain,( 13.65/2.51 equalish(b,a) | ~spl3_11), 13.65/2.51 inference(avatar_component_clause,[],[f120])). 13.65/2.51 fof(f101,plain,( 13.65/2.51 spl3_8 | ~spl3_1), 13.65/2.51 inference(avatar_split_clause,[],[f90,f49,f99])). 13.65/2.51 fof(f90,plain,( 13.65/2.51 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,sK2(b,X1))) ) | ~spl3_1), 13.65/2.51 inference(resolution,[],[f43,f50])). 13.65/2.51 fof(f76,plain,( 13.65/2.51 ~spl3_2), 13.65/2.51 inference(avatar_contradiction_clause,[],[f75])). 13.65/2.51 fof(f75,plain,( 13.65/2.51 $false | ~spl3_2), 13.65/2.51 inference(subsumption_resolution,[],[f53,f34])). 13.65/2.51 fof(f34,plain,( 13.65/2.51 ~goal), 13.65/2.51 inference(cnf_transformation,[],[f13])). 13.65/2.51 fof(f13,plain,( 13.65/2.51 ~goal), 13.65/2.51 inference(flattening,[],[f3])). 13.65/2.51 fof(f3,negated_conjecture,( 13.65/2.51 ~goal), 13.65/2.51 inference(negated_conjecture,[status(cth)],[f2])). 13.65/2.51 fof(f2,conjecture,( 13.65/2.51 goal), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 fof(f53,plain,( 13.65/2.51 goal | ~spl3_2), 13.65/2.51 inference(avatar_component_clause,[],[f52])). 13.65/2.51 fof(f52,definition,( 13.65/2.51 spl3_2 <=> goal), 13.65/2.51 introduced(definition,[new_symbols(naming,[spl3_2])],[avatar_definition])). 13.65/2.51 fof(f54,plain,( 13.65/2.51 spl3_1 | spl3_2), 13.65/2.51 inference(avatar_split_clause,[],[f33,f52,f49])). 13.65/2.51 fof(f33,plain,( 13.65/2.51 ( ! [X0] : (goal | ~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0)) )), 13.65/2.51 inference(cnf_transformation,[],[f15])). 13.65/2.51 fof(f15,plain,( 13.65/2.51 ! [X0] : (goal | ~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0))), 13.65/2.51 inference(flattening,[],[f14])). 13.65/2.51 fof(f14,plain,( 13.65/2.51 ! [X0] : (goal | (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0)))), 13.65/2.51 inference(ennf_transformation,[],[f1])). 13.65/2.51 fof(f1,negated_conjecture,( 13.65/2.51 ! [X0] : ((transitive_reflexive_rewrite(b,X0) & transitive_reflexive_rewrite(c,X0)) => goal)), 13.65/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 13.65/2.51 % SZS output end Proof for theBenchmark 13.65/2.51 % (1075896)------------------------------ 13.65/2.51 % (1075896)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.65/2.51 % (1075896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.65/2.51 % (1075896)Termination reason: Refutation 13.65/2.51 13.65/2.51 % (1075896)Time elapsed: 0.065 s 13.65/2.51 % (1075896)Peak memory usage: 13 MB 13.65/2.51 % (1075896)Instructions burned: 64 (million) 13.65/2.51 % (1075896)------------------------------ 13.65/2.51 % (1075896)------------------------------ 13.65/2.51 % (1075812)Success in time 2.087 s 13.65/2.52 EOF