0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.10/0.36	% Computer : n025.cluster.edu
0.10/0.36	% Model    : x86_64 x86_64
0.10/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.36	% Memory   : 8046.5625MB
0.10/0.36	% OS       : Linux 6.8.0-71-generic
0.10/0.36	% CPULimit : 1440
0.10/0.36	% WCLimit  : 180
0.10/0.36	% DateTime : Mon Jul 27 08:57:50 UTC 2026
0.10/0.36	% CPUTime  : 
0.10/0.36	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.10/0.39	Running first-order theorem proving
0.10/0.39	Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
12.35/2.70	% (2454219)Detected formulas, will run a generic FOF schedule.
12.35/2.70	% (2454233)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1151215146:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
12.35/2.70	% (2454234)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3942773561:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
12.35/2.70	% (2454232)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2534541091:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
12.35/2.70	% (2454232)Refutation not found, incomplete strategy
12.35/2.70	% (2454232)------------------------------
12.35/2.70	% (2454232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.35/2.70	% (2454232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.35/2.70	% (2454232)CaDiCaL version: 2.1.3
12.35/2.70	% (2454232)Termination reason: Refutation not found, incomplete strategy
12.35/2.70	% (2454232)Time elapsed: 0.0000 s
12.35/2.70	% (2454232)Peak memory usage: 87 MB
12.35/2.70	% (2454229)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4261229110:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
12.35/2.70	% (2454231)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=813145791:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
12.35/2.70	% (2454230)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=420346674:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
12.35/2.70	% (2454233)Instruction limit reached! 
12.35/2.70	% (2454233)------------------------------
12.35/2.70	% (2454233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.35/2.70	% (2454233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.35/2.70	% (2454233)CaDiCaL version: 2.1.3
12.35/2.70	% (2454233)Termination reason: Instruction limit
12.35/2.70	% (2454233)Termination phase: Saturation
12.35/2.70	% (2454233)Time elapsed: 0.038 s
12.35/2.70	% (2454233)Peak memory usage: 88 MB
12.35/2.70	% (2454233)Instructions burned: 121 (million)
12.35/2.70	% (2454235)dis-21_1_sil=8000:lcm=predicate:random_seed=1488869995:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
12.35/2.70	% (2454235)Instruction limit reached! 
12.35/2.70	% (2454235)------------------------------
12.35/2.70	% (2454235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.35/2.70	% (2454235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.35/2.70	% (2454235)CaDiCaL version: 2.1.3
12.35/2.70	% (2454235)Termination reason: Instruction limit
12.35/2.70	% (2454235)Termination phase: Saturation
12.35/2.70	% (2454235)Time elapsed: 0.067 s
12.35/2.70	% (2454235)Peak memory usage: 88 MB
12.35/2.70	% (2454235)Instructions burned: 130 (million)
12.35/2.70	% (2454269)lrs+10_1_sil=8000:sp=occurrence:random_seed=4184983886:i=285:sd=3:ss=axioms:sgt=8_1798 on theBenchmark for (1798ds/285Mi)
12.35/2.70	% (2454234)Instruction limit reached! 
12.35/2.70	% (2454234)------------------------------
12.35/2.70	% (2454234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.35/2.70	% (2454234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.35/2.70	% (2454234)CaDiCaL version: 2.1.3
12.35/2.70	% (2454234)Termination reason: Instruction limit
12.35/2.70	% (2454234)Termination phase: Saturation
12.35/2.70	% (2454234)Time elapsed: 0.099 s
12.35/2.70	% (2454234)Peak memory usage: 90 MB
12.35/2.70	% (2454234)Instructions burned: 139 (million)
12.35/2.70	% (2454269)Instruction limit reached! 
12.35/2.70	% (2454269)------------------------------
12.35/2.70	% (2454269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.35/2.70	% (2454269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.35/2.70	% (2454269)CaDiCaL version: 2.1.3
12.35/2.70	% (2454269)Termination reason: Instruction limit
12.35/2.70	% (2454269)Termination phase: Saturation
12.35/2.70	% (2454269)Time elapsed: 0.101 s
12.35/2.70	% (2454269)Peak memory usage: 91 MB
12.35/2.70	% (2454269)Instructions burned: 286 (million)
12.35/2.70	% (2454306)lrs+10_1_sil=32000:urr=on:br=off:random_seed=502331957:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi)
19.04/3.84	% (2454306)Refutation not found, incomplete strategy
19.04/3.84	% (2454306)------------------------------
19.04/3.84	% (2454306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454306)CaDiCaL version: 2.1.3
19.04/3.84	% (2454306)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454306)Time elapsed: 0.001 s
19.04/3.84	% (2454306)Peak memory usage: 87 MB
19.04/3.84	% (2454232)------------------------------
19.04/3.84	% (2454232)------------------------------
19.04/3.84	% (2454314)lrs+1011_1_sil=32000:sp=occurrence:random_seed=443608462:i=325:sd=1:ss=axioms:sgt=32_1797 on theBenchmark for (1797ds/325Mi)
19.04/3.84	% (2454314)Refutation not found, incomplete strategy
19.04/3.84	% (2454314)------------------------------
19.04/3.84	% (2454314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454314)CaDiCaL version: 2.1.3
19.04/3.84	% (2454314)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454314)Time elapsed: 0.0000 s
19.04/3.84	% (2454314)Peak memory usage: 87 MB
19.04/3.84	% (2454332)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3744895807:s2a=on:i=248:s2at=1.23:gtg=position_1796 on theBenchmark for (1796ds/248Mi)
19.04/3.84	% (2454332)Instruction limit reached! 
19.04/3.84	% (2454332)------------------------------
19.04/3.84	% (2454332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454332)CaDiCaL version: 2.1.3
19.04/3.84	% (2454332)Termination reason: Instruction limit
19.04/3.84	% (2454332)Termination phase: Saturation
19.04/3.84	% (2454332)Time elapsed: 0.070 s
19.04/3.84	% (2454332)Peak memory usage: 91 MB
19.04/3.84	% (2454332)Instructions burned: 252 (million)
19.04/3.84	% (2454340)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1956949644:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1796 on theBenchmark for (1796ds/294Mi)
19.04/3.84	% (2454340)Refutation not found, incomplete strategy
19.04/3.84	% (2454340)------------------------------
19.04/3.84	% (2454340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454340)CaDiCaL version: 2.1.3
19.04/3.84	% (2454340)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454340)Time elapsed: 0.001 s
19.04/3.84	% (2454340)Peak memory usage: 87 MB
19.04/3.84	% (2454348)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=994973316:i=2350_1795 on theBenchmark for (1795ds/2350Mi)
19.04/3.84	% (2454306)------------------------------
19.04/3.84	% (2454306)------------------------------
19.04/3.84	% (2454314)------------------------------
19.04/3.84	% (2454314)------------------------------
19.04/3.84	% (2454351)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2333289960:cts=off:i=113:fsr=off:ss=included:sgt=4_1794 on theBenchmark for (1794ds/113Mi)
19.04/3.84	% (2454340)------------------------------
19.04/3.84	% (2454340)------------------------------
19.04/3.84	% (2454354)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2522996899:i=127:av=off:fsr=off:sup=off_1793 on theBenchmark for (1793ds/127Mi)
19.04/3.84	% (2454351)Instruction limit reached! 
19.04/3.84	% (2454351)------------------------------
19.04/3.84	% (2454351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454351)CaDiCaL version: 2.1.3
19.04/3.84	% (2454351)Termination reason: Instruction limit
19.04/3.84	% (2454351)Termination phase: Saturation
19.04/3.84	% (2454351)Time elapsed: 0.073 s
19.04/3.84	% (2454351)Peak memory usage: 89 MB
19.04/3.84	% (2454351)Instructions burned: 113 (million)
19.04/3.84	% (2454354)Instruction limit reached! 
19.04/3.84	% (2454354)------------------------------
19.04/3.84	% (2454354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454354)CaDiCaL version: 2.1.3
19.04/3.84	% (2454354)Termination reason: Instruction limit
19.04/3.84	% (2454354)Termination phase: Saturation
19.04/3.84	% (2454354)Time elapsed: 0.079 s
19.04/3.84	% (2454354)Peak memory usage: 89 MB
19.04/3.84	% (2454354)Instructions burned: 127 (million)
19.04/3.84	% (2454374)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=154059156:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1792 on theBenchmark for (1792ds/114Mi)
19.04/3.84	% (2454374)Refutation not found, incomplete strategy
19.04/3.84	% (2454374)------------------------------
19.04/3.84	% (2454374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454374)CaDiCaL version: 2.1.3
19.04/3.84	% (2454374)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454374)Time elapsed: 0.001 s
19.04/3.84	% (2454374)Peak memory usage: 87 MB
19.04/3.84	% (2454376)lrs+10_1_sil=8000:sp=occurrence:random_seed=3553076894:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1792 on theBenchmark for (1792ds/907Mi)
19.04/3.84	% (2454379)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=970526282:i=437:sd=1:aac=none:ss=included_1791 on theBenchmark for (1791ds/437Mi)
19.04/3.84	% (2454379)Refutation not found, incomplete strategy
19.04/3.84	% (2454379)------------------------------
19.04/3.84	% (2454379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454379)CaDiCaL version: 2.1.3
19.04/3.84	% (2454379)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454379)Time elapsed: 0.002 s
19.04/3.84	% (2454379)Peak memory usage: 88 MB
19.04/3.84	% (2454374)------------------------------
19.04/3.84	% (2454374)------------------------------
19.04/3.84	% (2454379)------------------------------
19.04/3.84	% (2454379)------------------------------
19.04/3.84	% (2454423)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2635101682:i=5202:ss=axioms:sgt=16_1787 on theBenchmark for (1787ds/5202Mi)
19.04/3.84	% (2454426)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1528399720:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1785 on theBenchmark for (1785ds/134Mi)
19.04/3.84	% (2454426)Instruction limit reached! 
19.04/3.84	% (2454426)------------------------------
19.04/3.84	% (2454426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454426)CaDiCaL version: 2.1.3
19.04/3.84	% (2454426)Termination reason: Instruction limit
19.04/3.84	% (2454426)Termination phase: Saturation
19.04/3.84	% (2454426)Time elapsed: 0.067 s
19.04/3.84	% (2454426)Peak memory usage: 90 MB
19.04/3.84	% (2454426)Instructions burned: 134 (million)
19.04/3.84	% (2454376)Instruction limit reached! 
19.04/3.84	% (2454376)------------------------------
19.04/3.84	% (2454376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454376)CaDiCaL version: 2.1.3
19.04/3.84	% (2454376)Termination reason: Instruction limit
19.04/3.84	% (2454376)Termination phase: Saturation
19.04/3.84	% (2454376)Time elapsed: 0.841 s
19.04/3.84	% (2454376)Peak memory usage: 96 MB
19.04/3.84	% (2454376)Instructions burned: 907 (million)
19.04/3.84	% (2454348)Instruction limit reached! 
19.04/3.84	% (2454348)------------------------------
19.04/3.84	% (2454348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454348)CaDiCaL version: 2.1.3
19.04/3.84	% (2454348)Termination reason: Instruction limit
19.04/3.84	% (2454348)Termination phase: Saturation
19.04/3.84	% (2454348)Time elapsed: 1.291 s
19.04/3.84	% (2454348)Peak memory usage: 139 MB
19.04/3.84	% (2454348)Instructions burned: 2351 (million)
19.04/3.84	% (2454433)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4130636136:st=8:i=592:sd=3:ep=RST:ss=axioms_1783 on theBenchmark for (1783ds/592Mi)
19.04/3.84	% (2454433)Refutation not found, incomplete strategy
19.04/3.84	% (2454433)------------------------------
19.04/3.84	% (2454433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454433)CaDiCaL version: 2.1.3
19.04/3.84	% (2454433)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454433)Time elapsed: 0.001 s
19.04/3.84	% (2454433)Peak memory usage: 88 MB
19.04/3.84	% (2454436)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3225588681:st=3:i=13193:sd=3:ss=axioms_1782 on theBenchmark for (1782ds/13193Mi)
19.04/3.84	% (2454433)------------------------------
19.04/3.84	% (2454433)------------------------------
19.04/3.84	% (2454439)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1418857578:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_1781 on theBenchmark for (1781ds/125Mi)
19.04/3.84	% (2454439)Refutation not found, incomplete strategy
19.04/3.84	% (2454439)------------------------------
19.04/3.84	% (2454439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454439)CaDiCaL version: 2.1.3
19.04/3.84	% (2454439)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454439)Time elapsed: 0.003 s
19.04/3.84	% (2454439)Peak memory usage: 88 MB
19.04/3.84	% (2454439)Instructions burned: 1 (million)
19.04/3.84	% (2454447)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=569827653:i=134:gtgl=5:slsql=off:gtg=exists_sym_1778 on theBenchmark for (1778ds/134Mi)
19.04/3.84	% (2454447)Instruction limit reached! 
19.04/3.84	% (2454447)------------------------------
19.04/3.84	% (2454447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454447)CaDiCaL version: 2.1.3
19.04/3.84	% (2454447)Termination reason: Instruction limit
19.04/3.84	% (2454447)Termination phase: Saturation
19.04/3.84	% (2454447)Time elapsed: 0.077 s
19.04/3.84	% (2454447)Peak memory usage: 90 MB
19.04/3.84	% (2454447)Instructions burned: 135 (million)
19.04/3.84	% (2454453)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3146154085:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_1776 on theBenchmark for (1776ds/141Mi)
19.04/3.84	% (2454453)Refutation not found, incomplete strategy
19.04/3.84	% (2454453)------------------------------
19.04/3.84	% (2454453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454453)CaDiCaL version: 2.1.3
19.04/3.84	% (2454453)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454453)Time elapsed: 0.0000 s
19.04/3.84	% (2454453)Peak memory usage: 87 MB
19.04/3.84	% (2454439)------------------------------
19.04/3.84	% (2454439)------------------------------
19.04/3.84	% (2454423)First to succeed.
19.04/3.84	% (2454423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2454219"
19.04/3.84	% (2454453)------------------------------
19.04/3.84	% (2454453)------------------------------
19.04/3.84	% (2454457)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2592302007:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_1774 on theBenchmark for (1774ds/431Mi)
19.04/3.84	% (2454457)Refutation not found, incomplete strategy
19.04/3.84	% (2454457)------------------------------
19.04/3.84	% (2454457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
19.04/3.84	% (2454457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
19.04/3.84	% (2454457)CaDiCaL version: 2.1.3
19.04/3.84	% (2454457)Termination reason: Refutation not found, incomplete strategy
19.04/3.84	% (2454457)Time elapsed: 0.001 s
19.04/3.84	% (2454457)Peak memory usage: 87 MB
19.04/3.84	% (2454462)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2735631214:i=6060:aac=none:ins=25_1772 on theBenchmark for (1772ds/6060Mi)
19.04/3.84	% (2454423)Refutation found. Thanks to Tanya!
19.04/3.84	% SZS status Theorem for theBenchmark
19.04/3.84	% SZS output start Proof for theBenchmark
19.04/3.84	fof(f1,axiom,(
19.04/3.84	  ! [X0] : ((transitive_reflexive_rewrite(c,X0) & transitive_reflexive_rewrite(b,X0)) => goal)),
19.04/3.84	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',found)).
19.04/3.85	fof(f2,conjecture,(
19.04/3.85	  goal),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved)).
19.04/3.85	fof(f3,negated_conjecture,(
19.04/3.85	  ~goal),
19.04/3.85	  inference(negated_conjecture,[status(cth)],[f2])).
19.04/3.85	fof(f4,axiom,(
19.04/3.85	  ! [X0,X1] : (equalish(X0,X1) => equalish(X1,X0))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)).
19.04/3.85	fof(f5,axiom,(
19.04/3.85	  ! [X0,X1,X2] : ((rewrite(X0,X2) & rewrite(X0,X1)) => ? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl)).
19.04/3.85	fof(f6,axiom,(
19.04/3.85	  ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) => (? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | equalish(X0,X1)))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite)).
19.04/3.85	fof(f7,axiom,(
19.04/3.85	  ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,X2) & transitive_reflexive_rewrite(X0,X1)) => transitive_reflexive_rewrite(X0,X2))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)).
19.04/3.85	fof(f9,axiom,(
19.04/3.85	  ! [X0,X1,X2] : ((rewrite(a,X0) & transitive_reflexive_rewrite(X0,X2) & transitive_reflexive_rewrite(X0,X1)) => ? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)).
19.04/3.85	fof(f10,axiom,(
19.04/3.85	  transitive_reflexive_rewrite(a,c) & transitive_reflexive_rewrite(a,b)),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption)).
19.04/3.85	fof(f11,axiom,(
19.04/3.85	  ! [X0,X1] : (equalish(X0,X1) => transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)).
19.04/3.85	fof(f12,axiom,(
19.04/3.85	  ! [X0] : equalish(X0,X0)),
19.04/3.85	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity)).
19.04/3.85	fof(f13,plain,(
19.04/3.85	  ~goal),
19.04/3.85	  inference(flattening,[],[f3])).
19.04/3.85	fof(f14,plain,(
19.04/3.85	  ! [X0] : (goal | (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)))),
19.04/3.85	  inference(ennf_transformation,[],[f1])).
19.04/3.85	fof(f15,plain,(
19.04/3.85	  ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0))),
19.04/3.85	  inference(flattening,[],[f14])).
19.04/3.85	fof(f16,plain,(
19.04/3.85	  ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | ~equalish(X0,X1))),
19.04/3.85	  inference(ennf_transformation,[],[f11])).
19.04/3.85	fof(f17,plain,(
19.04/3.85	  ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)))),
19.04/3.85	  inference(ennf_transformation,[],[f9])).
19.04/3.85	fof(f18,plain,(
19.04/3.85	  ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(flattening,[],[f17])).
19.04/3.85	fof(f20,plain,(
19.04/3.85	  ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1)))),
19.04/3.85	  inference(ennf_transformation,[],[f7])).
19.04/3.85	fof(f21,plain,(
19.04/3.85	  ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(flattening,[],[f20])).
19.04/3.85	fof(f22,plain,(
19.04/3.85	  ! [X0,X1] : ((? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | equalish(X0,X1)) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(ennf_transformation,[],[f6])).
19.04/3.85	fof(f23,plain,(
19.04/3.85	  ! [X0,X1] : (? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(flattening,[],[f22])).
19.04/3.85	fof(f24,plain,(
19.04/3.85	  ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | (~rewrite(X0,X2) | ~rewrite(X0,X1)))),
19.04/3.85	  inference(ennf_transformation,[],[f5])).
19.04/3.85	fof(f25,plain,(
19.04/3.85	  ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | ~rewrite(X0,X2) | ~rewrite(X0,X1))),
19.04/3.85	  inference(flattening,[],[f24])).
19.04/3.85	fof(f26,plain,(
19.04/3.85	  ! [X0,X1] : (equalish(X1,X0) | ~equalish(X0,X1))),
19.04/3.85	  inference(ennf_transformation,[],[f4])).
19.04/3.85	fof(f27,plain,(
19.04/3.85	  ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X2,sK0(X1,X2)) & transitive_reflexive_rewrite(X1,sK0(X1,X2))) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X1,X2))],[f18])).
19.04/3.85	fof(f28,plain,(
19.04/3.85	  ! [X0,X1] : ((rewrite(X0,sK1(X0,X1)) & transitive_reflexive_rewrite(sK1(X0,X1),X1)) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1))),
19.04/3.85	  inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f23])).
19.04/3.85	fof(f29,plain,(
19.04/3.85	  ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,sK2(X1,X2)) & transitive_reflexive_rewrite(X2,sK2(X1,X2))) | ~rewrite(X0,X2) | ~rewrite(X0,X1))),
19.04/3.85	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X1,X2))],[f25])).
19.04/3.85	fof(f30,plain,(
19.04/3.85	  ~goal),
19.04/3.85	  inference(cnf_transformation,[],[f13])).
19.04/3.85	fof(f31,plain,(
19.04/3.85	  ( ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)) )),
19.04/3.85	  inference(cnf_transformation,[],[f15])).
19.04/3.85	fof(f32,plain,(
19.04/3.85	  transitive_reflexive_rewrite(a,b)),
19.04/3.85	  inference(cnf_transformation,[],[f10])).
19.04/3.85	fof(f33,plain,(
19.04/3.85	  transitive_reflexive_rewrite(a,c)),
19.04/3.85	  inference(cnf_transformation,[],[f10])).
19.04/3.85	fof(f34,plain,(
19.04/3.85	  ( ! [X0,X1] : (~equalish(X0,X1) | transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f16])).
19.04/3.85	fof(f35,plain,(
19.04/3.85	  ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK0(X1,X2)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f27])).
19.04/3.85	fof(f36,plain,(
19.04/3.85	  ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK0(X1,X2)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f27])).
19.04/3.85	fof(f38,plain,(
19.04/3.85	  ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f21])).
19.04/3.85	fof(f39,plain,(
19.04/3.85	  ( ! [X0,X1] : (transitive_reflexive_rewrite(sK1(X0,X1),X1) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f28])).
19.04/3.85	fof(f40,plain,(
19.04/3.85	  ( ! [X0,X1] : (rewrite(X0,sK1(X0,X1)) | equalish(X0,X1) | ~transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f28])).
19.04/3.85	fof(f41,plain,(
19.04/3.85	  ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK2(X1,X2)) | ~rewrite(X0,X2) | ~rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f29])).
19.04/3.85	fof(f42,plain,(
19.04/3.85	  ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK2(X1,X2)) | ~rewrite(X0,X2) | ~rewrite(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f29])).
19.04/3.85	fof(f43,plain,(
19.04/3.85	  ( ! [X0] : (equalish(X0,X0)) )),
19.04/3.85	  inference(cnf_transformation,[],[f12])).
19.04/3.85	fof(f44,plain,(
19.04/3.85	  ( ! [X0,X1] : (equalish(X1,X0) | ~equalish(X0,X1)) )),
19.04/3.85	  inference(cnf_transformation,[],[f26])).
19.04/3.85	fof(f46,definition,(
19.04/3.85	  spl3_1 <=> ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0))),
19.04/3.85	  introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
19.04/3.85	fof(f47,plain,(
19.04/3.85	  ( ! [X0] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0)) ) | ~spl3_1),
19.04/3.85	  inference(avatar_component_clause,[],[f46])).
19.04/3.85	fof(f49,definition,(
19.04/3.85	  spl3_2 <=> goal),
19.04/3.85	  introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
19.04/3.85	fof(f52,plain,(
19.04/3.85	  spl3_1 | spl3_2),
19.04/3.85	  inference(avatar_split_clause,[],[f31,f49,f46])).
19.04/3.85	fof(f53,plain,(
19.04/3.85	  ~spl3_2),
19.04/3.85	  inference(avatar_split_clause,[],[f30,f49])).
19.04/3.85	fof(f58,plain,(
19.04/3.85	  ( ! [X0,X1] : (~equalish(X1,X0) | transitive_reflexive_rewrite(X0,X1)) )),
19.04/3.85	  inference(resolution,[],[f34,f44])).
19.04/3.85	fof(f61,plain,(
19.04/3.85	  ( ! [X0] : (transitive_reflexive_rewrite(X0,X0)) )),
19.04/3.85	  inference(resolution,[],[f43,f34])).
19.04/3.85	fof(f62,plain,(
19.04/3.85	  ~transitive_reflexive_rewrite(c,b) | ~spl3_1),
19.04/3.85	  inference(resolution,[],[f61,f47])).
19.04/3.85	fof(f74,plain,(
19.04/3.85	  ( ! [X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f38,f47])).
21.79/4.09	fof(f83,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(X0,b),X1) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X2,X0)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f74,f36])).
21.79/4.09	fof(f89,plain,(
21.79/4.09	  ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f62,f38])).
21.79/4.09	fof(f100,plain,(
21.79/4.09	  ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,sK0(sK0(X0,b),X1)) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X2,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X3,sK0(X0,b))) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f83,f35])).
21.79/4.09	fof(f111,plain,(
21.79/4.09	  ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X3,sK0(X1,b)) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X2,sK0(X1,b)) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,c) | ~rewrite(a,X0)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f100,f36])).
21.79/4.09	fof(f118,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(X1,b)) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X2)) ) | ~spl3_1),
21.79/4.09	  inference(factoring,[],[f111])).
21.79/4.09	fof(f119,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(X1,b)) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X2)) ) | ~spl3_1),
21.79/4.09	  inference(duplicate_literal_removal,[],[f118])).
21.79/4.09	fof(f123,plain,(
21.79/4.09	  ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X3,sK0(X1,b)) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f119,f38])).
21.79/4.09	fof(f126,definition,(
21.79/4.09	  spl3_5 <=> transitive_reflexive_rewrite(b,c)),
21.79/4.09	  introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition])).
21.79/4.09	fof(f127,plain,(
21.79/4.09	  transitive_reflexive_rewrite(b,c) | ~spl3_5),
21.79/4.09	  inference(avatar_component_clause,[],[f126])).
21.79/4.09	fof(f128,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(b,c) | spl3_5),
21.79/4.09	  inference(avatar_component_clause,[],[f126])).
21.79/4.09	fof(f137,plain,(
21.79/4.09	  ( ! [X0] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X0,c)) ) | spl3_5),
21.79/4.09	  inference(resolution,[],[f128,f38])).
21.79/4.09	fof(f155,definition,(
21.79/4.09	  spl3_8 <=> equalish(a,c)),
21.79/4.09	  introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition])).
21.79/4.09	fof(f156,plain,(
21.79/4.09	  ~equalish(a,c) | spl3_8),
21.79/4.09	  inference(avatar_component_clause,[],[f155])).
21.79/4.09	fof(f157,plain,(
21.79/4.09	  equalish(a,c) | ~spl3_8),
21.79/4.09	  inference(avatar_component_clause,[],[f155])).
21.79/4.09	fof(f162,plain,(
21.79/4.09	  transitive_reflexive_rewrite(c,a) | ~spl3_8),
21.79/4.09	  inference(resolution,[],[f157,f58])).
21.79/4.09	fof(f173,definition,(
21.79/4.09	  spl3_11 <=> equalish(a,b)),
21.79/4.09	  introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition])).
21.79/4.09	fof(f175,plain,(
21.79/4.09	  equalish(a,b) | ~spl3_11),
21.79/4.09	  inference(avatar_component_clause,[],[f173])).
21.79/4.09	fof(f200,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(a,b) | (~spl3_1 | ~spl3_8)),
21.79/4.09	  inference(resolution,[],[f89,f162])).
21.79/4.09	fof(f207,plain,(
21.79/4.09	  $false | (~spl3_1 | ~spl3_8)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f200,f32])).
21.79/4.09	fof(f208,plain,(
21.79/4.09	  ~spl3_1 | ~spl3_8),
21.79/4.09	  inference(avatar_contradiction_clause,[],[f207])).
21.79/4.09	fof(f213,definition,(
21.79/4.09	  spl3_12 <=> rewrite(a,sK1(a,c))),
21.79/4.09	  introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition])).
21.79/4.09	fof(f214,plain,(
21.79/4.09	  rewrite(a,sK1(a,c)) | ~spl3_12),
21.79/4.09	  inference(avatar_component_clause,[],[f213])).
21.79/4.09	fof(f215,plain,(
21.79/4.09	  ~rewrite(a,sK1(a,c)) | spl3_12),
21.79/4.09	  inference(avatar_component_clause,[],[f213])).
21.79/4.09	fof(f222,plain,(
21.79/4.09	  equalish(a,c) | ~transitive_reflexive_rewrite(a,c) | spl3_12),
21.79/4.09	  inference(resolution,[],[f215,f40])).
21.79/4.09	fof(f223,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(a,c) | (spl3_8 | spl3_12)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f222,f156])).
21.79/4.09	fof(f224,plain,(
21.79/4.09	  $false | (spl3_8 | spl3_12)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f223,f33])).
21.79/4.09	fof(f225,plain,(
21.79/4.09	  spl3_8 | spl3_12),
21.79/4.09	  inference(avatar_contradiction_clause,[],[f224])).
21.79/4.09	fof(f279,definition,(
21.79/4.09	  spl3_16 <=> transitive_reflexive_rewrite(sK1(a,c),c)),
21.79/4.09	  introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition])).
21.79/4.09	fof(f280,plain,(
21.79/4.09	  transitive_reflexive_rewrite(sK1(a,c),c) | ~spl3_16),
21.79/4.09	  inference(avatar_component_clause,[],[f279])).
21.79/4.09	fof(f281,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(sK1(a,c),c) | spl3_16),
21.79/4.09	  inference(avatar_component_clause,[],[f279])).
21.79/4.09	fof(f283,plain,(
21.79/4.09	  equalish(a,c) | ~transitive_reflexive_rewrite(a,c) | spl3_16),
21.79/4.09	  inference(resolution,[],[f281,f39])).
21.79/4.09	fof(f285,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(a,c) | (spl3_8 | spl3_16)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f283,f156])).
21.79/4.09	fof(f286,plain,(
21.79/4.09	  $false | (spl3_8 | spl3_16)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f285,f33])).
21.79/4.09	fof(f287,plain,(
21.79/4.09	  spl3_8 | spl3_16),
21.79/4.09	  inference(avatar_contradiction_clause,[],[f286])).
21.79/4.09	fof(f326,plain,(
21.79/4.09	  ( ! [X2,X3,X0,X1] : (~rewrite(a,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X3,X1)) ) | ~spl3_1),
21.79/4.09	  inference(resolution,[],[f123,f35])).
21.79/4.09	fof(f335,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X2)) ) | ~spl3_1),
21.79/4.09	  inference(factoring,[],[f326])).
21.79/4.09	fof(f336,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~rewrite(a,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,c) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2)) ) | ~spl3_1),
21.79/4.09	  inference(duplicate_literal_removal,[],[f335])).
21.79/4.09	fof(f338,plain,(
21.79/4.09	  ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK1(a,c),c) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK1(a,c),X1) | ~transitive_reflexive_rewrite(X0,X1)) ) | (~spl3_1 | ~spl3_12)),
21.79/4.09	  inference(resolution,[],[f336,f214])).
21.79/4.09	fof(f342,plain,(
21.79/4.09	  ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK1(a,c),X1) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f338,f280])).
21.79/4.09	fof(f349,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,sK2(sK1(a,c),X1)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(X2,X1) | ~rewrite(X2,sK1(a,c))) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(resolution,[],[f342,f42])).
21.79/4.09	fof(f375,plain,(
21.79/4.09	  ( ! [X2,X0,X1] : (~rewrite(X2,sK1(a,c)) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(X1,X0) | ~rewrite(X1,sK1(a,c)) | ~rewrite(X2,X0) | ~rewrite(a,X0)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(resolution,[],[f349,f41])).
21.79/4.09	fof(f382,plain,(
21.79/4.09	  ( ! [X0,X1] : (~rewrite(X0,sK1(a,c)) | ~transitive_reflexive_rewrite(X1,b) | ~rewrite(X0,X1) | ~rewrite(X0,X1) | ~rewrite(a,X1)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(factoring,[],[f375])).
21.79/4.09	fof(f387,plain,(
21.79/4.09	  ( ! [X0,X1] : (~rewrite(X0,sK1(a,c)) | ~transitive_reflexive_rewrite(X1,b) | ~rewrite(X0,X1) | ~rewrite(a,X1)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(duplicate_literal_removal,[],[f382])).
21.79/4.09	fof(f392,plain,(
21.79/4.09	  ( ! [X0] : (~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0) | ~rewrite(a,X0)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(resolution,[],[f387,f214])).
21.79/4.09	fof(f396,plain,(
21.79/4.09	  ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(duplicate_literal_removal,[],[f392])).
21.79/4.09	fof(f399,plain,(
21.79/4.09	  ( ! [X0] : (~transitive_reflexive_rewrite(sK1(a,X0),b) | equalish(a,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(resolution,[],[f396,f40])).
21.79/4.09	fof(f400,plain,(
21.79/4.09	  equalish(a,b) | ~transitive_reflexive_rewrite(a,b) | equalish(a,b) | ~transitive_reflexive_rewrite(a,b) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(resolution,[],[f399,f39])).
21.79/4.09	fof(f402,plain,(
21.79/4.09	  equalish(a,b) | ~transitive_reflexive_rewrite(a,b) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(duplicate_literal_removal,[],[f400])).
21.79/4.09	fof(f403,plain,(
21.79/4.09	  equalish(a,b) | (~spl3_1 | ~spl3_12 | ~spl3_16)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f402,f32])).
21.79/4.09	fof(f404,plain,(
21.79/4.09	  spl3_11 | ~spl3_1 | ~spl3_12 | ~spl3_16),
21.79/4.09	  inference(avatar_split_clause,[],[f403,f279,f213,f46,f173])).
21.79/4.09	fof(f405,plain,(
21.79/4.09	  transitive_reflexive_rewrite(b,a) | ~spl3_11),
21.79/4.09	  inference(resolution,[],[f175,f58])).
21.79/4.09	fof(f407,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(a,c) | (spl3_5 | ~spl3_11)),
21.79/4.09	  inference(resolution,[],[f405,f137])).
21.79/4.09	fof(f410,plain,(
21.79/4.09	  $false | (spl3_5 | ~spl3_11)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f407,f33])).
21.79/4.09	fof(f411,plain,(
21.79/4.09	  spl3_5 | ~spl3_11),
21.79/4.09	  inference(avatar_contradiction_clause,[],[f410])).
21.79/4.09	fof(f413,plain,(
21.79/4.09	  ~transitive_reflexive_rewrite(c,c) | (~spl3_1 | ~spl3_5)),
21.79/4.09	  inference(resolution,[],[f127,f47])).
21.79/4.09	fof(f415,plain,(
21.79/4.09	  $false | (~spl3_1 | ~spl3_5)),
21.79/4.09	  inference(forward_subsumption_resolution,[],[f413,f61])).
21.79/4.09	fof(f416,plain,(
21.79/4.09	  ~spl3_1 | ~spl3_5),
21.79/4.09	  inference(avatar_contradiction_clause,[],[f415])).
21.79/4.09	cnf(s1, plain, spl3_1 | spl3_2, inference(sat_conversion,[],[f52])).
21.79/4.09	cnf(s2, plain, ~spl3_2, inference(sat_conversion,[],[f53])).
21.79/4.09	cnf(s10, plain, ~spl3_1 | ~spl3_8, inference(sat_conversion,[],[f208])).
21.79/4.09	cnf(s12, plain, spl3_8 | spl3_12, inference(sat_conversion,[],[f225])).
21.79/4.09	cnf(s17, plain, spl3_8 | spl3_16, inference(sat_conversion,[],[f287])).
21.79/4.09	cnf(s18, plain, ~spl3_1 | spl3_11 | ~spl3_12 | ~spl3_16, inference(sat_conversion,[],[f404])).
21.79/4.09	cnf(s19, plain, spl3_5 | ~spl3_11, inference(sat_conversion,[],[f411])).
21.79/4.09	cnf(s20, plain, ~spl3_1 | ~spl3_5, inference(sat_conversion,[],[f416])).
21.79/4.09	cnf(s21, plain, spl3_1, inference(rat,[],[s1,s2])).
21.79/4.09	cnf(s22, plain, ~spl3_5, inference(rat,[],[s20,s21])).
21.79/4.09	cnf(s23, plain, ~spl3_8, inference(rat,[],[s10,s21])).
21.79/4.09	cnf(s26, plain, ~spl3_11, inference(rat,[],[s19,s22])).
21.79/4.09	cnf(s27, plain, spl3_16, inference(rat,[],[s17,s23])).
21.79/4.09	cnf(s28, plain, spl3_12, inference(rat,[],[s12,s23])).
21.79/4.09	cnf(s31, plain, $false, inference(rat,[],[s18,s27,s21,s28,s26])).
21.79/4.09	fof(f417,plain,(
21.79/4.09	  $false),
21.79/4.09	  inference(avatar_sat_refutation,[],[s31])).
21.79/4.09	% SZS output end Proof for theBenchmark
21.79/4.09	% (2454423)------------------------------
21.79/4.09	% (2454423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
21.79/4.09	% (2454423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
21.79/4.09	% (2454423)CaDiCaL version: 2.1.3
21.79/4.09	% (2454423)Termination reason: Refutation
21.79/4.09	% (2454423)Time elapsed: 1.102 s
21.79/4.09	% (2454423)Peak memory usage: 129 MB
21.79/4.09	% (2454423)Instructions burned: 990 (million)
21.79/4.09	% (2454423)------------------------------
21.79/4.09	% (2454423)------------------------------
21.79/4.09	% (2454219)Success in time 3.025 s
21.79/4.09	% Vampire exiting
21.79/4.09	EOF