%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:07:31 AM UTC 2026
% Result : Unsatisfiable 9.40s 2.09s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 19 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 12 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( multiply(X0,X1) != X2
| multiply(X3,X1) != X2
| X0 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',medial_law) ).
fof(f4,axiom,
multiply(an_element,an_element) = an_element,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent_element) ).
fof(f5,plain,
an_element = multiply(an_element,an_element),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f7,plain,
! [X3,X0,X1] :
( multiply(X0,X1) != multiply(X3,X1)
| X0 = X3 ),
inference(equality_resolution,[],[f1]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X4,multiply(X0,X2)),multiply(X5,multiply(X1,X3))) = multiply(multiply(X4,X5),multiply(multiply(X0,X1),multiply(X2,X3))),
inference(superposition,[],[f3,f3]) ).
fof(f18,plain,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),
inference(superposition,[],[f6,f3]) ).
fof(f21,plain,
! [X0,X1] : multiply(multiply(X0,an_element),multiply(X1,an_element)) = multiply(multiply(X0,X1),an_element),
inference(superposition,[],[f3,f5]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X0,an_element)),multiply(X3,multiply(X1,an_element))) = multiply(multiply(X2,X3),multiply(multiply(X0,X1),an_element)),
inference(superposition,[],[f3,f21]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] :
( multiply(multiply(X0,X1),multiply(X2,X3)) != multiply(X4,multiply(X1,X3))
| multiply(X0,X2) = X4 ),
inference(superposition,[],[f7,f3]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,multiply(X0,an_element)),multiply(multiply(X3,X1),multiply(X4,an_element))) = multiply(multiply(X2,multiply(X3,X4)),multiply(multiply(X0,X1),an_element)),
inference(superposition,[],[f16,f21]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,multiply(multiply(X0,an_element),X3)),multiply(X4,multiply(multiply(X1,an_element),X5))) = multiply(multiply(X2,X4),multiply(multiply(multiply(X0,X1),an_element),multiply(X3,X5))),
inference(superposition,[],[f16,f21]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(X3,X4),multiply(X5,X6))) = multiply(multiply(X0,multiply(X1,X4)),multiply(multiply(X3,X5),multiply(X2,X6))),
inference(superposition,[],[f16,f16]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,multiply(X3,X4)),multiply(multiply(X0,X1),an_element)) = multiply(multiply(X2,multiply(X3,X1)),multiply(multiply(X0,X4),an_element)),
inference(forward_demodulation,[],[f112,f30]) ).
fof(f322,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),X0),multiply(multiply(multiply(b,e),f),X1)) != multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),multiply(X0,X1)),
inference(unit_resulting_resolution,[],[f43,f18]) ).
fof(f768,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),multiply(multiply(X0,X1),multiply(X2,X3))) != multiply(multiply(multiply(a,multiply(d,c)),multiply(X0,X2)),multiply(multiply(multiply(b,e),f),multiply(X1,X3))),
inference(superposition,[],[f322,f3]) ).
fof(f1302,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(X0,an_element),X2)),multiply(multiply(multiply(b,e),f),multiply(multiply(X1,an_element),X3))) != multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),multiply(multiply(multiply(X0,X1),an_element),multiply(X2,X3))),
inference(superposition,[],[f768,f21]) ).
fof(f1419,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(X0,an_element),X2)),multiply(multiply(multiply(b,e),f),multiply(multiply(X1,an_element),X3))) != multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),an_element)),multiply(multiply(multiply(X0,X1),X2),multiply(f,X3))),
inference(forward_demodulation,[],[f1302,f147]) ).
fof(f1437,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(X0,an_element),X2)),multiply(multiply(multiply(b,e),f),multiply(multiply(X1,an_element),X3))) != multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),an_element)),multiply(multiply(multiply(X0,X1),X2),multiply(f,X3))),
inference(forward_demodulation,[],[f1419,f176]) ).
fof(f1446,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),an_element)),multiply(multiply(multiply(X0,X1),X2),multiply(f,X3))) != multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)),multiply(multiply(multiply(X0,X1),an_element),multiply(X2,X3))),
inference(forward_demodulation,[],[f1437,f128]) ).
fof(f1453,plain,
$false,
inference(forward_subsumption_resolution,[],[f1446,f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n009.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:17:00 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.93/1.90 % (3363030)Input is clausal, will run a generic CNF schedule.
% 6.93/1.90 % (3363039)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=481447494:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.93/1.90 % (3363040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=40439057:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.93/1.90 % (3363038)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588595496:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.93/1.90 % (3363041)dis-21_1_sil=8000:lcm=predicate:random_seed=1869529206:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.93/1.90 % (3363036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3801393540:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.93/1.90 % (3363035)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=3446673877:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.93/1.90 % (3363037)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1500991297:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.93/1.90 % (3363041)Refutation not found, incomplete strategy
% 6.93/1.90 % (3363041)------------------------------
% 6.93/1.90 % (3363041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363041)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363041)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.90 % (3363041)Time elapsed: 0.001 s
% 6.93/1.90 % (3363041)Peak memory usage: 88 MB
% 6.93/1.90 % (3363039)Instruction limit reached!
% 6.93/1.90 % (3363039)------------------------------
% 6.93/1.90 % (3363039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363039)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363039)Termination reason: Instruction limit
% 6.93/1.90 % (3363039)Termination phase: Saturation
% 6.93/1.90 % (3363039)Time elapsed: 0.036 s
% 6.93/1.90 % (3363039)Peak memory usage: 89 MB
% 6.93/1.90 % (3363039)Instructions burned: 115 (million)
% 6.93/1.90 % (3363038)Instruction limit reached!
% 6.93/1.90 % (3363038)------------------------------
% 6.93/1.90 % (3363038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363038)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363038)Termination reason: Instruction limit
% 6.93/1.90 % (3363038)Termination phase: Saturation
% 6.93/1.90 % (3363038)Time elapsed: 0.066 s
% 6.93/1.90 % (3363038)Peak memory usage: 89 MB
% 6.93/1.90 % (3363038)Instructions burned: 108 (million)
% 6.93/1.90 % (3363040)Instruction limit reached!
% 6.93/1.90 % (3363040)------------------------------
% 6.93/1.90 % (3363040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363040)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363040)Termination reason: Instruction limit
% 6.93/1.90 % (3363040)Termination phase: Saturation
% 6.93/1.90 % (3363040)Time elapsed: 0.099 s
% 6.93/1.90 % (3363040)Peak memory usage: 89 MB
% 6.93/1.90 % (3363040)Instructions burned: 181 (million)
% 6.93/1.90 % (3363049)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=876060200:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.93/1.90 % (3363049)Instruction limit reached!
% 6.93/1.90 % (3363049)------------------------------
% 6.93/1.90 % (3363049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363049)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363049)Termination reason: Instruction limit
% 6.93/1.90 % (3363049)Termination phase: Saturation
% 6.93/1.90 % (3363049)Time elapsed: 0.043 s
% 6.93/1.90 % (3363049)Peak memory usage: 88 MB
% 6.93/1.90 % (3363049)Instructions burned: 146 (million)
% 6.93/1.90 % (3363050)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1919066130:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.93/1.90 % (3363051)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1308121274:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.93/1.90 % (3363041)------------------------------
% 6.93/1.90 % (3363041)------------------------------
% 6.93/1.90 % (3363053)lrs+10_64_to=lpo:sil=8000:random_seed=1661688988:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.93/1.90 % (3363053)Instruction limit reached!
% 6.93/1.90 % (3363053)------------------------------
% 6.93/1.90 % (3363053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363053)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363053)Termination reason: Instruction limit
% 6.93/1.90 % (3363053)Termination phase: Saturation
% 6.93/1.90 % (3363053)Time elapsed: 0.040 s
% 6.93/1.90 % (3363053)Peak memory usage: 89 MB
% 6.93/1.90 % (3363053)Instructions burned: 127 (million)
% 6.93/1.90 % (3363050)Instruction limit reached!
% 6.93/1.90 % (3363050)------------------------------
% 6.93/1.90 % (3363050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363050)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363050)Termination reason: Instruction limit
% 6.93/1.90 % (3363050)Termination phase: Saturation
% 6.93/1.90 % (3363050)Time elapsed: 0.099 s
% 6.93/1.90 % (3363050)Peak memory usage: 89 MB
% 6.93/1.90 % (3363050)Instructions burned: 190 (million)
% 6.93/1.90 % (3363051)Instruction limit reached!
% 6.93/1.90 % (3363051)------------------------------
% 6.93/1.90 % (3363051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363051)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363051)Termination reason: Instruction limit
% 6.93/1.90 % (3363051)Termination phase: Saturation
% 6.93/1.90 % (3363051)Time elapsed: 0.140 s
% 6.93/1.90 % (3363051)Peak memory usage: 90 MB
% 6.93/1.90 % (3363051)Instructions burned: 220 (million)
% 6.93/1.90 % (3363057)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1115488497:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.93/1.90 % (3363058)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3594037934:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.93/1.90 % (3363058)Instruction limit reached!
% 6.93/1.90 % (3363058)------------------------------
% 6.93/1.90 % (3363058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363058)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363058)Termination reason: Instruction limit
% 6.93/1.90 % (3363058)Termination phase: Saturation
% 6.93/1.90 % (3363058)Time elapsed: 0.047 s
% 6.93/1.90 % (3363058)Peak memory usage: 90 MB
% 6.93/1.90 % (3363058)Instructions burned: 159 (million)
% 6.93/1.90 % (3363059)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=367408587:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.93/1.90 % (3363057)Instruction limit reached!
% 6.93/1.90 % (3363057)------------------------------
% 6.93/1.90 % (3363057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.90 % (3363057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.90 % (3363057)CaDiCaL version: 2.1.3
% 6.93/1.90 % (3363057)Termination reason: Instruction limit
% 6.93/1.90 % (3363057)Termination phase: Saturation
% 6.93/1.90 % (3363057)Time elapsed: 0.121 s
% 6.93/1.90 % (3363057)Peak memory usage: 89 MB
% 6.93/1.90 % (3363057)Instructions burned: 194 (million)
% 6.93/1.90 % (3363061)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3157529050:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.93/1.90 % (3363063)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3137148556:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.93/1.90 % (3363063)Instruction limit reached!
% 6.93/1.90 % (3363063)------------------------------
% 6.93/1.90 % (3363063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363063)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363063)Termination reason: Instruction limit
% 9.40/2.09 % (3363063)Termination phase: Saturation
% 9.40/2.09 % (3363063)Time elapsed: 0.035 s
% 9.40/2.09 % (3363063)Peak memory usage: 88 MB
% 9.40/2.09 % (3363063)Instructions burned: 110 (million)
% 9.40/2.09 % (3363061)Instruction limit reached!
% 9.40/2.09 % (3363061)------------------------------
% 9.40/2.09 % (3363061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363061)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363061)Termination reason: Instruction limit
% 9.40/2.09 % (3363061)Termination phase: Saturation
% 9.40/2.09 % (3363061)Time elapsed: 0.055 s
% 9.40/2.09 % (3363061)Peak memory usage: 90 MB
% 9.40/2.09 % (3363061)Instructions burned: 106 (million)
% 9.40/2.09 % (3363065)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2227057831:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 9.40/2.09 % (3363068)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3108249430:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 9.40/2.09 % (3363069)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2840917785:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 9.40/2.09 % (3363065)Instruction limit reached!
% 9.40/2.09 % (3363065)------------------------------
% 9.40/2.09 % (3363065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363065)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363065)Termination reason: Instruction limit
% 9.40/2.09 % (3363065)Termination phase: Saturation
% 9.40/2.09 % (3363065)Time elapsed: 0.134 s
% 9.40/2.09 % (3363065)Peak memory usage: 91 MB
% 9.40/2.09 % (3363065)Instructions burned: 243 (million)
% 9.40/2.09 % (3363069)Instruction limit reached!
% 9.40/2.09 % (3363069)------------------------------
% 9.40/2.09 % (3363069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363069)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363069)Termination reason: Instruction limit
% 9.40/2.09 % (3363069)Termination phase: Saturation
% 9.40/2.09 % (3363069)Time elapsed: 0.081 s
% 9.40/2.09 % (3363069)Peak memory usage: 88 MB
% 9.40/2.09 % (3363069)Instructions burned: 135 (million)
% 9.40/2.09 % (3363036)First to succeed.
% 9.40/2.09 % (3363036)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3363030"
% 9.40/2.09 % (3363073)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=561877574:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 9.40/2.09 % (3363074)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1739563207:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 9.40/2.09 % (3363073)Also succeeded, but the first one will report.
% 9.40/2.09 % (3363074)Instruction limit reached!
% 9.40/2.09 % (3363074)------------------------------
% 9.40/2.09 % (3363074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363074)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363074)Termination reason: Instruction limit
% 9.40/2.09 % (3363074)Termination phase: Saturation
% 9.40/2.09 % (3363074)Time elapsed: 0.119 s
% 9.40/2.09 % (3363074)Peak memory usage: 89 MB
% 9.40/2.09 % (3363074)Instructions burned: 191 (million)
% 9.40/2.09 % (3363036)Refutation found. Thanks to Tanya!
% 9.40/2.09 % SZS status Unsatisfiable for theBenchmark
% 9.40/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.40/2.09 % (3363036)------------------------------
% 9.40/2.09 % (3363036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.09 % (3363036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.09 % (3363036)CaDiCaL version: 2.1.3
% 9.40/2.09 % (3363036)Termination reason: Refutation
% 9.40/2.09 % (3363036)Time elapsed: 0.839 s
% 9.40/2.09 % (3363036)Peak memory usage: 131 MB
% 9.40/2.09 % (3363036)Instructions burned: 1282 (million)
% 9.40/2.09 % (3363036)------------------------------
% 9.40/2.09 % (3363036)------------------------------
% 9.40/2.09 % (3363030)Success in time 1.245 s
% 9.40/2.09 % Vampire exiting
%------------------------------------------------------------------------------