0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.18/0.45	% Computer : n026.cluster.edu
0.18/0.45	% Model    : x86_64 x86_64
0.18/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.45	% Memory   : 8046.5625MB
0.18/0.45	% OS       : Linux 6.8.0-71-generic
0.18/0.45	% CPULimit : 1440
0.18/0.45	% WCLimit  : 180
0.18/0.45	% DateTime : Mon Jul 27 10:16:20 UTC 2026
0.18/0.45	% CPUTime  : 
0.18/0.45	Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.24/0.52	Running first-order theorem proving
0.24/0.52	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
21.04/4.20	% (2573823)Detected formulas, will run a generic FOF schedule.
21.04/4.20	% (2573829)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=3429723166:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
21.04/4.20	% (2573831)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1406318094:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
21.04/4.20	% (2573828)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=2440983746:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
21.04/4.20	% (2573832)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3458700127:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
21.04/4.20	% (2573833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1398800755:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
21.04/4.20	% (2573830)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=1232838201:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
21.04/4.20	% (2573834)dis-21_1_sil=8000:lcm=predicate:random_seed=76825364: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)
21.04/4.20	% (2573831)Instruction limit reached! 
21.04/4.20	% (2573831)------------------------------
21.04/4.20	% (2573831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
21.04/4.20	% (2573831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
21.04/4.20	% (2573831)CaDiCaL version: 2.1.3
21.04/4.20	% (2573831)Termination reason: Instruction limit
21.04/4.20	% (2573831)Termination phase: Saturation
21.04/4.20	% (2573831)Time elapsed: 0.106 s
21.04/4.20	% (2573831)Peak memory usage: 89 MB
21.04/4.20	% (2573831)Instructions burned: 110 (million)
21.04/4.20	% (2573832)Instruction limit reached! 
21.04/4.20	% (2573832)------------------------------
21.04/4.20	% (2573832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
21.04/4.20	% (2573832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
21.04/4.20	% (2573832)CaDiCaL version: 2.1.3
21.04/4.20	% (2573832)Termination reason: Instruction limit
21.04/4.20	% (2573832)Termination phase: Saturation
21.04/4.20	% (2573832)Time elapsed: 0.113 s
21.04/4.20	% (2573832)Peak memory usage: 88 MB
21.04/4.20	% (2573832)Instructions burned: 120 (million)
21.04/4.20	% (2573834)Instruction limit reached! 
21.04/4.20	% (2573834)------------------------------
21.04/4.20	% (2573834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
21.04/4.20	% (2573834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
21.04/4.20	% (2573834)CaDiCaL version: 2.1.3
21.04/4.20	% (2573834)Termination reason: Instruction limit
21.04/4.20	% (2573834)Termination phase: Saturation
21.04/4.20	% (2573834)Time elapsed: 0.129 s
21.04/4.20	% (2573834)Peak memory usage: 89 MB
21.04/4.20	% (2573834)Instructions burned: 129 (million)
21.04/4.20	% (2573833)Instruction limit reached! 
21.04/4.20	% (2573833)------------------------------
21.04/4.20	% (2573833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
21.04/4.20	% (2573833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
21.04/4.20	% (2573833)CaDiCaL version: 2.1.3
21.04/4.20	% (2573833)Termination reason: Instruction limit
21.04/4.20	% (2573833)Termination phase: Saturation
21.04/4.20	% (2573833)Time elapsed: 0.154 s
21.04/4.20	% (2573833)Peak memory usage: 89 MB
21.04/4.20	% (2573833)Instructions burned: 139 (million)
21.04/4.20	% (2573842)lrs+10_1_sil=8000:sp=occurrence:random_seed=403702797:i=285:sd=3:ss=axioms:sgt=8_1796 on theBenchmark for (1796ds/285Mi)
21.04/4.20	% (2573843)lrs+10_1_sil=32000:urr=on:br=off:random_seed=48194009:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1795 on theBenchmark for (1795ds/157Mi)
21.04/4.20	% (2573844)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2460548043:i=325:sd=1:ss=axioms:sgt=32_1795 on theBenchmark for (1795ds/325Mi)
21.04/4.20	% (2573845)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=3682137897:s2a=on:i=248:s2at=1.23:gtg=position_1795 on theBenchmark for (1795ds/248Mi)
21.04/4.20	% (2573843)Instruction limit reached! 
27.31/5.11	% (2573843)------------------------------
27.31/5.11	% (2573843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573843)CaDiCaL version: 2.1.3
27.31/5.11	% (2573843)Termination reason: Instruction limit
27.31/5.11	% (2573843)Termination phase: Saturation
27.31/5.11	% (2573843)Time elapsed: 0.141 s
27.31/5.11	% (2573843)Peak memory usage: 90 MB
27.31/5.11	% (2573843)Instructions burned: 157 (million)
27.31/5.11	% (2573845)Instruction limit reached! 
27.31/5.11	% (2573845)------------------------------
27.31/5.11	% (2573845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573845)CaDiCaL version: 2.1.3
27.31/5.11	% (2573845)Termination reason: Instruction limit
27.31/5.11	% (2573845)Termination phase: Saturation
27.31/5.11	% (2573845)Time elapsed: 0.123 s
27.31/5.11	% (2573845)Peak memory usage: 92 MB
27.31/5.11	% (2573845)Instructions burned: 249 (million)
27.31/5.11	% (2573842)Instruction limit reached! 
27.31/5.11	% (2573842)------------------------------
27.31/5.11	% (2573842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573842)CaDiCaL version: 2.1.3
27.31/5.11	% (2573842)Termination reason: Instruction limit
27.31/5.11	% (2573842)Termination phase: Saturation
27.31/5.11	% (2573842)Time elapsed: 0.273 s
27.31/5.11	% (2573842)Peak memory usage: 91 MB
27.31/5.11	% (2573842)Instructions burned: 285 (million)
27.31/5.11	% (2573844)Instruction limit reached! 
27.31/5.11	% (2573844)------------------------------
27.31/5.11	% (2573844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573844)CaDiCaL version: 2.1.3
27.31/5.11	% (2573844)Termination reason: Instruction limit
27.31/5.11	% (2573844)Termination phase: Saturation
27.31/5.11	% (2573844)Time elapsed: 0.311 s
27.31/5.11	% (2573844)Peak memory usage: 90 MB
27.31/5.11	% (2573844)Instructions burned: 325 (million)
27.31/5.11	% (2573852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3681808371:i=2350_1791 on theBenchmark for (1791ds/2350Mi)
27.31/5.11	% (2573851)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1315964650:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1791 on theBenchmark for (1791ds/294Mi)
27.31/5.11	% (2573853)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1394989132:cts=off:i=113:fsr=off:ss=included:sgt=4_1790 on theBenchmark for (1790ds/113Mi)
27.31/5.11	% (2573854)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3290446637:i=127:av=off:fsr=off:sup=off_1789 on theBenchmark for (1789ds/127Mi)
27.31/5.11	% (2573853)Instruction limit reached! 
27.31/5.11	% (2573853)------------------------------
27.31/5.11	% (2573853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573853)CaDiCaL version: 2.1.3
27.31/5.11	% (2573853)Termination reason: Instruction limit
27.31/5.11	% (2573853)Termination phase: Saturation
27.31/5.11	% (2573853)Time elapsed: 0.117 s
27.31/5.11	% (2573853)Peak memory usage: 89 MB
27.31/5.11	% (2573853)Instructions burned: 113 (million)
27.31/5.11	% (2573854)Instruction limit reached! 
27.31/5.11	% (2573854)------------------------------
27.31/5.11	% (2573854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573854)CaDiCaL version: 2.1.3
27.31/5.11	% (2573854)Termination reason: Instruction limit
27.31/5.11	% (2573854)Termination phase: Saturation
27.31/5.11	% (2573854)Time elapsed: 0.112 s
27.31/5.11	% (2573854)Peak memory usage: 89 MB
27.31/5.11	% (2573854)Instructions burned: 128 (million)
27.31/5.11	% (2573851)Instruction limit reached! 
27.31/5.11	% (2573851)------------------------------
27.31/5.11	% (2573851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573851)CaDiCaL version: 2.1.3
27.31/5.11	% (2573851)Termination reason: Instruction limit
27.31/5.11	% (2573851)Termination phase: Saturation
27.31/5.11	% (2573851)Time elapsed: 0.269 s
27.31/5.11	% (2573851)Peak memory usage: 88 MB
27.31/5.11	% (2573851)Instructions burned: 295 (million)
27.31/5.11	% (2573859)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4100145548:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1786 on theBenchmark for (1786ds/114Mi)
27.31/5.11	% (2573860)lrs+10_1_sil=8000:sp=occurrence:random_seed=3195041193:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1785 on theBenchmark for (1785ds/907Mi)
27.31/5.11	% (2573861)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=554321838:i=437:sd=1:aac=none:ss=included_1785 on theBenchmark for (1785ds/437Mi)
27.31/5.11	% (2573859)Instruction limit reached! 
27.31/5.11	% (2573859)------------------------------
27.31/5.11	% (2573859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573859)CaDiCaL version: 2.1.3
27.31/5.11	% (2573859)Termination reason: Instruction limit
27.31/5.11	% (2573859)Termination phase: Saturation
27.31/5.11	% (2573859)Time elapsed: 0.114 s
27.31/5.11	% (2573859)Peak memory usage: 89 MB
27.31/5.11	% (2573859)Instructions burned: 114 (million)
27.31/5.11	% (2573865)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1878470673:i=5202:ss=axioms:sgt=16_1782 on theBenchmark for (1782ds/5202Mi)
27.31/5.11	% (2573861)Instruction limit reached! 
27.31/5.11	% (2573861)------------------------------
27.31/5.11	% (2573861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573861)CaDiCaL version: 2.1.3
27.31/5.11	% (2573861)Termination reason: Instruction limit
27.31/5.11	% (2573861)Termination phase: Saturation
27.31/5.11	% (2573861)Time elapsed: 0.382 s
27.31/5.11	% (2573861)Peak memory usage: 90 MB
27.31/5.11	% (2573861)Instructions burned: 438 (million)
27.31/5.11	% (2573852)Instruction limit reached! 
27.31/5.11	% (2573852)------------------------------
27.31/5.11	% (2573852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573852)CaDiCaL version: 2.1.3
27.31/5.11	% (2573852)Termination reason: Instruction limit
27.31/5.11	% (2573852)Termination phase: Saturation
27.31/5.11	% (2573852)Time elapsed: 1.348 s
27.31/5.11	% (2573852)Peak memory usage: 137 MB
27.31/5.11	% (2573852)Instructions burned: 2352 (million)
27.31/5.11	% (2573867)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3691004835:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1778 on theBenchmark for (1778ds/134Mi)
27.31/5.11	% (2573867)Instruction limit reached! 
27.31/5.11	% (2573867)------------------------------
27.31/5.11	% (2573867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573867)CaDiCaL version: 2.1.3
27.31/5.11	% (2573867)Termination reason: Instruction limit
27.31/5.11	% (2573867)Termination phase: Saturation
27.31/5.11	% (2573867)Time elapsed: 0.120 s
27.31/5.11	% (2573867)Peak memory usage: 90 MB
27.31/5.11	% (2573867)Instructions burned: 135 (million)
27.31/5.11	% (2573860)Instruction limit reached! 
27.31/5.11	% (2573860)------------------------------
27.31/5.11	% (2573860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573860)CaDiCaL version: 2.1.3
27.31/5.11	% (2573860)Termination reason: Instruction limit
27.31/5.11	% (2573860)Termination phase: Saturation
27.31/5.11	% (2573860)Time elapsed: 0.904 s
27.31/5.11	% (2573860)Peak memory usage: 96 MB
27.31/5.11	% (2573860)Instructions burned: 908 (million)
27.31/5.11	% (2573869)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3319076768:st=8:i=592:sd=3:ep=RST:ss=axioms_1775 on theBenchmark for (1775ds/592Mi)
27.31/5.11	% (2573870)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2194048002:st=3:i=13193:sd=3:ss=axioms_1774 on theBenchmark for (1774ds/13193Mi)
27.31/5.11	% (2573871)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=4119489964:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_1773 on theBenchmark for (1773ds/125Mi)
27.31/5.11	% (2573869)Instruction limit reached! 
27.31/5.11	% (2573869)------------------------------
27.31/5.11	% (2573869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573869)CaDiCaL version: 2.1.3
27.31/5.11	% (2573869)Termination reason: Instruction limit
27.31/5.11	% (2573869)Termination phase: Saturation
27.31/5.11	% (2573869)Time elapsed: 0.300 s
27.31/5.11	% (2573869)Peak memory usage: 92 MB
27.31/5.11	% (2573869)Instructions burned: 594 (million)
27.31/5.11	% (2573871)Instruction limit reached! 
27.31/5.11	% (2573871)------------------------------
27.31/5.11	% (2573871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573871)CaDiCaL version: 2.1.3
27.31/5.11	% (2573871)Termination reason: Instruction limit
27.31/5.11	% (2573871)Termination phase: Saturation
27.31/5.11	% (2573871)Time elapsed: 0.128 s
27.31/5.11	% (2573871)Peak memory usage: 90 MB
27.31/5.11	% (2573871)Instructions burned: 125 (million)
27.31/5.11	% (2573875)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=675888948:i=134:gtgl=5:slsql=off:gtg=exists_sym_1769 on theBenchmark for (1769ds/134Mi)
27.31/5.11	% (2573876)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2971592028:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_1769 on theBenchmark for (1769ds/141Mi)
27.31/5.11	% (2573875)Instruction limit reached! 
27.31/5.11	% (2573875)------------------------------
27.31/5.11	% (2573875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573875)CaDiCaL version: 2.1.3
27.31/5.11	% (2573875)Termination reason: Instruction limit
27.31/5.11	% (2573875)Termination phase: Saturation
27.31/5.11	% (2573875)Time elapsed: 0.075 s
27.31/5.11	% (2573875)Peak memory usage: 89 MB
27.31/5.11	% (2573875)Instructions burned: 134 (million)
27.31/5.11	% (2573865)First to succeed.
27.31/5.11	% (2573865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2573823"
27.31/5.11	% (2573876)Instruction limit reached! 
27.31/5.11	% (2573876)------------------------------
27.31/5.11	% (2573876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.31/5.11	% (2573876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.31/5.11	% (2573876)CaDiCaL version: 2.1.3
27.31/5.11	% (2573876)Termination reason: Instruction limit
27.31/5.11	% (2573876)Termination phase: Saturation
27.31/5.11	% (2573876)Time elapsed: 0.151 s
27.31/5.11	% (2573876)Peak memory usage: 90 MB
27.31/5.11	% (2573876)Instructions burned: 141 (million)
27.31/5.11	% (2573879)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2511792293:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_1766 on theBenchmark for (1766ds/431Mi)
27.31/5.11	% (2573880)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=3365584253:i=6060:aac=none:ins=25_1765 on theBenchmark for (1765ds/6060Mi)
27.31/5.11	% (2573865)Refutation found. Thanks to Tanya!
27.31/5.11	% SZS status Theorem for theBenchmark
27.31/5.11	% SZS output start Proof for theBenchmark
27.31/5.11	fof(f1,axiom,(
27.31/5.11	  ! [X0] : ? [X1] : ! [X2] : ((~id(X2,X1) & ~r2(X0,X2)) | (id(X2,X1) & r2(X0,X2)))),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2)).
27.31/5.11	fof(f2,axiom,(
27.31/5.11	  ! [X0,X1,X2] : (~id(X0,X1) | id(X0,X2) | ~id(X1,X2))),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7)).
27.31/5.11	fof(f5,axiom,(
27.31/5.11	  ! [X0,X1] : (~id(X0,X1) | (r1(X1) & r1(X0)) | (~r1(X0) & ~r1(X1)))),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8)).
27.31/5.11	fof(f6,axiom,(
27.31/5.11	  ! [X0,X1] : (~r2(X0,X1) | ! [X2] : (~id(X2,X1) | ~r1(X2)))),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a)).
27.31/5.11	fof(f9,axiom,(
27.31/5.11	  ! [X0,X1] : ? [X2] : ! [X3] : ((r3(X0,X1,X3) & id(X3,X2)) | (~r3(X0,X1,X3) & ~id(X3,X2)))),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3)).
27.31/5.11	fof(f10,axiom,(
27.31/5.11	  ! [X0] : id(X0,X0)),
27.31/5.11	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5)).
27.31/5.11	fof(f12,axiom,(
27.31/5.11	  ! [X0,X1,X2,X3,X4,X5] : (~id(X1,X4) | ~id(X2,X5) | (r3(X0,X1,X2) & r3(X3,X4,X5)) | (~r3(X0,X1,X2) & ~r3(X3,X4,X5)) | ~id(X0,X3))),
27.97/5.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10)).
27.97/5.48	fof(f14,axiom,(
27.97/5.48	  ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r3(X0,X1,X5) & r2(X5,X2)))),
27.97/5.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a)).
27.97/5.48	fof(f17,axiom,(
27.97/5.48	  ! [X0,X1] : (id(X1,X0) | ~id(X0,X1))),
27.97/5.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6)).
27.97/5.48	fof(f19,conjecture,(
27.97/5.48	  ! [X0] : (! [X1] : (~id(X0,X1) | ~r1(X1)) | ! [X2] : (! [X3] : (~r2(X3,X2) | ~r1(X3)) | ! [X4] : (~r1(X4) | ~r3(X4,X2,X0))))),
27.97/5.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)).
27.97/5.48	fof(f20,negated_conjecture,(
27.97/5.48	  ~! [X0] : (! [X1] : (~id(X0,X1) | ~r1(X1)) | ! [X2] : (! [X3] : (~r2(X3,X2) | ~r1(X3)) | ! [X4] : (~r1(X4) | ~r3(X4,X2,X0))))),
27.97/5.48	  inference(negated_conjecture,[status(cth)],[f19])).
27.97/5.48	fof(f21,plain,(
27.97/5.48	  ? [X0] : (? [X1] : (id(X0,X1) & r1(X1)) & ? [X2] : (? [X3] : (r2(X3,X2) & r1(X3)) & ? [X4] : (r1(X4) & r3(X4,X2,X0))))),
27.97/5.48	  inference(ennf_transformation,[],[f20])).
27.97/5.48	fof(f22,plain,(
27.97/5.48	  (id(sK0,sK1) & r1(sK1)) & ((r2(sK3,sK2) & r1(sK3)) & (r1(sK4) & r3(sK4,sK2,sK0)))),
27.97/5.48	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f21])).
27.97/5.48	fof(f24,plain,(
27.97/5.48	  ! [X0,X1] : (((r3(X0,sK10(X0,X1),sK9(X0,X1)) & r2(X1,sK10(X0,X1))) & id(sK9(X0,X1),sK8(X0,X1))) & (r3(X0,X1,sK11(X0,X1)) & r2(sK11(X0,X1),sK8(X0,X1))))),
27.97/5.48	  inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f14])).
27.97/5.48	fof(f26,plain,(
27.97/5.48	  ! [X0] : ! [X2] : ((~id(X2,sK16(X0)) & ~r2(X0,X2)) | (id(X2,sK16(X0)) & r2(X0,X2)))),
27.97/5.48	  inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f1])).
27.97/5.48	fof(f28,plain,(
27.97/5.48	  ! [X0,X1] : ! [X3] : ((r3(X0,X1,X3) & id(X3,sK19(X0,X1))) | (~r3(X0,X1,X3) & ~id(X3,sK19(X0,X1))))),
27.97/5.48	  inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f9])).
27.97/5.48	fof(f32,plain,(
27.97/5.48	  r3(sK4,sK2,sK0)),
27.97/5.48	  inference(cnf_transformation,[],[f22])).
27.97/5.48	fof(f35,plain,(
27.97/5.48	  r2(sK3,sK2)),
27.97/5.48	  inference(cnf_transformation,[],[f22])).
27.97/5.48	fof(f36,plain,(
27.97/5.48	  r1(sK1)),
27.97/5.48	  inference(cnf_transformation,[],[f22])).
27.97/5.48	fof(f37,plain,(
27.97/5.48	  id(sK0,sK1)),
27.97/5.48	  inference(cnf_transformation,[],[f22])).
27.97/5.48	fof(f38,plain,(
27.97/5.48	  ( ! [X0,X1] : (id(X1,X0) | ~id(X0,X1)) )),
27.97/5.48	  inference(cnf_transformation,[],[f17])).
27.97/5.48	fof(f39,plain,(
27.97/5.48	  ( ! [X0] : (id(X0,X0)) )),
27.97/5.48	  inference(cnf_transformation,[],[f10])).
27.97/5.48	fof(f40,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (id(X0,X2) | ~id(X0,X1) | ~id(X1,X2)) )),
27.97/5.48	  inference(cnf_transformation,[],[f2])).
27.97/5.48	fof(f45,plain,(
27.97/5.48	  ( ! [X0,X1] : (r2(sK11(X0,X1),sK8(X0,X1))) )),
27.97/5.48	  inference(cnf_transformation,[],[f24])).
27.97/5.48	fof(f47,plain,(
27.97/5.48	  ( ! [X0,X1] : (id(sK9(X0,X1),sK8(X0,X1))) )),
27.97/5.48	  inference(cnf_transformation,[],[f24])).
27.97/5.48	fof(f48,plain,(
27.97/5.48	  ( ! [X0,X1] : (r2(X1,sK10(X0,X1))) )),
27.97/5.48	  inference(cnf_transformation,[],[f24])).
27.97/5.48	fof(f49,plain,(
27.97/5.48	  ( ! [X0,X1] : (r3(X0,sK10(X0,X1),sK9(X0,X1))) )),
27.97/5.48	  inference(cnf_transformation,[],[f24])).
27.97/5.48	fof(f55,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (~r2(X0,X1) | ~id(X2,X1) | ~r1(X2)) )),
27.97/5.48	  inference(cnf_transformation,[],[f6])).
27.97/5.48	fof(f62,plain,(
27.97/5.48	  ( ! [X2,X0] : (id(X2,sK16(X0)) | ~r2(X0,X2)) )),
27.97/5.48	  inference(cnf_transformation,[],[f26])).
27.97/5.48	fof(f67,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X4,X5] : (r3(X0,X1,X2) | ~id(X2,X5) | ~id(X1,X4) | ~r3(X3,X4,X5) | ~id(X0,X3)) )),
27.97/5.48	  inference(cnf_transformation,[],[f12])).
27.97/5.48	fof(f73,plain,(
27.97/5.48	  ( ! [X3,X0,X1] : (id(X3,sK19(X0,X1)) | ~r3(X0,X1,X3)) )),
27.97/5.48	  inference(cnf_transformation,[],[f28])).
27.97/5.48	fof(f84,plain,(
27.97/5.48	  ( ! [X0,X1] : (~id(X0,X1) | r1(X0) | ~r1(X1)) )),
27.97/5.48	  inference(cnf_transformation,[],[f5])).
27.97/5.48	fof(f87,plain,(
27.97/5.48	  ( ! [X0,X1] : (~id(X0,X1) | r1(X1) | ~r1(X0)) )),
27.97/5.48	  inference(cnf_transformation,[],[f5])).
27.97/5.48	fof(f121,plain,(
27.97/5.48	  r1(sK0) | ~r1(sK1)),
27.97/5.48	  inference(resolution,[],[f84,f37])).
27.97/5.48	fof(f128,plain,(
27.97/5.48	  r1(sK0)),
27.97/5.48	  inference(forward_subsumption_resolution,[],[f121,f36])).
27.97/5.48	fof(f147,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (r1(sK19(X0,X1)) | ~r3(X0,X1,X2) | ~r1(X2)) )),
27.97/5.48	  inference(resolution,[],[f73,f87])).
27.97/5.48	fof(f152,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (~id(X0,sK8(X1,X2)) | ~r1(X0)) )),
27.97/5.48	  inference(resolution,[],[f45,f55])).
27.97/5.48	fof(f155,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1] : (~id(X1,sK8(X2,X3)) | ~id(X0,X1) | ~r1(X0)) )),
27.97/5.48	  inference(resolution,[],[f152,f40])).
27.97/5.48	fof(f177,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (~id(X0,sK9(X1,X2)) | ~r1(X0)) )),
27.97/5.48	  inference(resolution,[],[f155,f47])).
27.97/5.48	fof(f180,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (~id(sK9(X1,X2),X0) | ~r1(X0)) )),
27.97/5.48	  inference(resolution,[],[f177,f38])).
27.97/5.48	fof(f189,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1] : (~r3(X0,X1,sK9(X2,X3)) | ~r1(sK19(X0,X1))) )),
27.97/5.48	  inference(resolution,[],[f180,f73])).
27.97/5.48	fof(f846,plain,(
27.97/5.48	  ( ! [X0,X1] : (~r1(sK19(X0,sK10(X0,X1)))) )),
27.97/5.48	  inference(resolution,[],[f189,f49])).
27.97/5.48	fof(f850,plain,(
27.97/5.48	  ( ! [X2,X0,X1] : (~r3(X0,sK10(X0,X1),X2) | ~r1(X2)) )),
27.97/5.48	  inference(resolution,[],[f846,f147])).
27.97/5.48	fof(f859,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X4,X5] : (~id(sK10(X2,X3),X4) | ~id(X0,X1) | ~r1(X0) | ~r3(X5,X4,X1) | ~id(X2,X5)) )),
27.97/5.48	  inference(resolution,[],[f850,f67])).
27.97/5.48	fof(f870,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X4,X5] : (~r3(X2,sK16(X3),X1) | ~r1(X0) | ~id(X0,X1) | ~id(X4,X2) | ~r2(X3,sK10(X4,X5))) )),
27.97/5.48	  inference(resolution,[],[f859,f62])).
27.97/5.48	fof(f942,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : (~r2(X4,sK10(X2,X5)) | ~id(X0,X1) | ~id(X2,X3) | ~r1(X0) | ~id(X1,X6) | ~id(sK16(X4),X7) | ~r3(X8,X7,X6) | ~id(X3,X8)) )),
27.97/5.48	  inference(resolution,[],[f870,f67])).
27.97/5.48	fof(f950,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : (~r3(X7,X6,X4) | ~id(X2,X3) | ~r1(X0) | ~id(X1,X4) | ~id(sK16(X5),X6) | ~id(X0,X1) | ~id(X3,X7)) )),
27.97/5.48	  inference(resolution,[],[f942,f48])).
27.97/5.48	fof(f954,plain,(
27.97/5.48	  ( ! [X2,X3,X0,X1,X4] : (~id(X0,X1) | ~r1(X2) | ~id(X3,sK0) | ~id(sK16(X4),sK2) | ~id(X2,X3) | ~id(X1,sK4)) )),
27.97/5.48	  inference(resolution,[],[f950,f32])).
27.97/5.48	fof(f967,definition,(
27.97/5.48	  spl25_5 <=> ! [X4] : ~id(sK16(X4),sK2)),
27.97/5.48	  introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition])).
27.97/5.48	fof(f968,plain,(
27.97/5.48	  ( ! [X4] : (~id(sK16(X4),sK2)) ) | ~spl25_5),
27.97/5.48	  inference(avatar_component_clause,[],[f967])).
27.97/5.48	fof(f970,definition,(
27.97/5.48	  spl25_6 <=> ! [X2,X3] : (~r1(X2) | ~id(X2,X3) | ~id(X3,sK0))),
27.97/5.48	  introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition])).
27.97/5.48	fof(f971,plain,(
27.97/5.48	  ( ! [X2,X3] : (~id(X3,sK0) | ~id(X2,X3) | ~r1(X2)) ) | ~spl25_6),
27.97/5.48	  inference(avatar_component_clause,[],[f970])).
27.97/5.48	fof(f973,definition,(
27.97/5.48	  spl25_7 <=> ! [X0,X1] : (~id(X0,X1) | ~id(X1,sK4))),
27.97/5.48	  introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition])).
27.97/5.48	fof(f974,plain,(
27.97/5.48	  ( ! [X0,X1] : (~id(X1,sK4) | ~id(X0,X1)) ) | ~spl25_7),
27.97/5.48	  inference(avatar_component_clause,[],[f973])).
27.97/5.48	fof(f975,plain,(
27.97/5.48	  spl25_5 | spl25_6 | spl25_7),
27.97/5.48	  inference(avatar_split_clause,[],[f954,f973,f970,f967])).
27.97/5.48	fof(f976,plain,(
27.97/5.48	  ( ! [X0] : (~id(sK2,sK16(X0))) ) | ~spl25_5),
27.97/5.48	  inference(resolution,[],[f968,f38])).
27.97/5.48	fof(f1017,plain,(
27.97/5.48	  ( ! [X0] : (~r2(X0,sK2)) ) | ~spl25_5),
27.97/5.48	  inference(resolution,[],[f976,f62])).
27.97/5.48	fof(f1020,plain,(
27.97/5.48	  $false | ~spl25_5),
27.97/5.48	  inference(resolution,[],[f1017,f35])).
27.97/5.48	fof(f1024,plain,(
27.97/5.48	  ~spl25_5),
27.97/5.48	  inference(avatar_contradiction_clause,[],[f1020])).
27.97/5.48	fof(f1029,plain,(
27.97/5.48	  ~id(sK0,sK0) | ~r1(sK0) | ~spl25_6),
27.97/5.48	  inference(factoring,[],[f971])).
27.97/5.48	fof(f1030,plain,(
27.97/5.48	  ~r1(sK0) | ~spl25_6),
27.97/5.48	  inference(forward_subsumption_resolution,[],[f1029,f39])).
27.97/5.48	fof(f1031,plain,(
27.97/5.48	  $false | ~spl25_6),
27.97/5.48	  inference(forward_subsumption_resolution,[],[f1030,f128])).
27.97/5.48	fof(f1032,plain,(
27.97/5.48	  ~spl25_6),
27.97/5.48	  inference(avatar_contradiction_clause,[],[f1031])).
27.97/5.48	fof(f1037,plain,(
27.97/5.48	  ~id(sK4,sK4) | ~spl25_7),
27.97/5.48	  inference(factoring,[],[f974])).
27.97/5.48	fof(f1038,plain,(
27.97/5.48	  $false | ~spl25_7),
27.97/5.48	  inference(forward_subsumption_resolution,[],[f1037,f39])).
27.97/5.48	fof(f1039,plain,(
27.97/5.48	  ~spl25_7),
27.97/5.48	  inference(avatar_contradiction_clause,[],[f1038])).
27.97/5.48	cnf(s3, plain, spl25_5 | spl25_6 | spl25_7, inference(sat_conversion,[],[f975])).
27.97/5.48	cnf(s4, plain, ~spl25_5, inference(sat_conversion,[],[f1024])).
27.97/5.48	cnf(s5, plain, ~spl25_6, inference(sat_conversion,[],[f1032])).
27.97/5.48	cnf(s6, plain, ~spl25_7, inference(sat_conversion,[],[f1039])).
27.97/5.48	cnf(s7, plain, $false, inference(rat,[],[s3,s6,s5,s4])).
27.97/5.48	fof(f1040,plain,(
27.97/5.48	  $false),
27.97/5.48	  inference(avatar_sat_refutation,[],[s7])).
27.97/5.48	% SZS output end Proof for theBenchmark
27.97/5.48	% (2573865)------------------------------
27.97/5.48	% (2573865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.97/5.48	% (2573865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.97/5.48	% (2573865)CaDiCaL version: 2.1.3
27.97/5.48	% (2573865)Termination reason: Refutation
27.97/5.48	% (2573865)Time elapsed: 1.336 s
27.97/5.48	% (2573865)Peak memory usage: 132 MB
27.97/5.48	% (2573865)Instructions burned: 1199 (million)
27.97/5.48	% (2573865)------------------------------
27.97/5.48	% (2573865)------------------------------
27.97/5.48	% (2573823)Success in time 3.812 s
27.97/5.48	% Vampire exiting
27.97/5.49	EOF