%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:36:00 AM UTC 2026
% Result : Unsatisfiable 8.47s 2.22s
% Output : Refutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 76 unt; 5 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 244 ( 244 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_tba_axioms_1) ).
fof(f3,definition,
sF0 = multiply(d,e,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
multiply(d,e,a) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(d,e,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(d,e,c) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = multiply(sF0,b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
multiply(sF0,b,sF1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(a,b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(a,b,c) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF4 = multiply(d,e,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f12,plain,
multiply(d,e,sF3) = sF4,
inference(reorient_equations,[],[f11]) ).
fof(f13,plain,
sF2 != sF4,
inference(definition_folding,[],[f2,f12,f10,f8,f6,f4]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,multiply(X5,multiply(X6,X7,X8),X9)),inverse(multiply(multiply(X9,X5,X8),X7,multiply(X9,X5,X6))),multiply(X3,X4,multiply(X10,inverse(X10),X0)))),multiply(X4,X0,X3)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,c),b,multiply(X2,X3,a))),multiply(X3,sF3,X2)) = X1,
inference(superposition,[],[f1,f10]) ).
fof(f71,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : multiply(X8,multiply(X9,inverse(multiply(X10,X8,X11)),X11),X10) = multiply(multiply(X10,X8,X9),inverse(multiply(multiply(X0,X1,X12),inverse(multiply(X0,X1,X12)),multiply(X0,X1,X2))),multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3))),
inference(superposition,[],[f14,f14]) ).
fof(f74,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X8,inverse(X8),X9),inverse(multiply(multiply(X0,X1,X10),inverse(multiply(X0,X1,X10)),multiply(X0,X1,X2))),multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3))) = X9,
inference(superposition,[],[f1,f14]) ).
fof(f79,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
inference(superposition,[],[f1,f14]) ).
fof(f104,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(d,e,c),b,sF0)),multiply(e,sF3,d)) = X1,
inference(superposition,[],[f18,f4]) ).
fof(f113,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = X1,
inference(forward_demodulation,[],[f104,f6]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(superposition,[],[f113,f1]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(X3,X0,X4),X1) = multiply(multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(superposition,[],[f113,f14]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(sF1,b,sF0)),multiply(multiply(e,sF3,d),inverse(multiply(multiply(X1,inverse(X1),X0),inverse(multiply(sF1,b,sF0)),X2)),X2),multiply(X1,inverse(X1),X0)) = multiply(X0,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)),
inference(superposition,[],[f14,f113]) ).
fof(f129,plain,
! [X3,X0,X1,X6,X7,X4,X5] : multiply(X0,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(multiply(multiply(X1,inverse(X1),X0),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(backward_demodulation,[],[f120,f115]) ).
fof(f131,plain,
! [X3,X0,X6,X7,X4,X5] : multiply(X0,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X0,inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(forward_demodulation,[],[f129,f113]) ).
fof(f142,plain,
! [X2,X10,X0,X11,X1,X8,X9,X12] : multiply(X8,multiply(X9,inverse(multiply(X10,X8,X11)),X11),X10) = multiply(multiply(X10,X8,X9),inverse(multiply(multiply(X0,X1,X12),inverse(multiply(X0,X1,X12)),multiply(X0,X1,X2))),multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d))),
inference(backward_demodulation,[],[f71,f131]) ).
fof(f143,plain,
! [X2,X10,X0,X1,X8,X9] : multiply(multiply(X8,inverse(X8),X9),inverse(multiply(multiply(X0,X1,X10),inverse(multiply(X0,X1,X10)),multiply(X0,X1,X2))),multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d))) = X9,
inference(backward_demodulation,[],[f74,f131]) ).
fof(f241,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,multiply(multiply(X1,inverse(X1),inverse(X0)),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(superposition,[],[f17,f17]) ).
fof(f255,plain,
! [X10,X0,X1,X8,X9,X7] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,multiply(multiply(X1,inverse(X1),inverse(X0)),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(forward_demodulation,[],[f241,f131]) ).
fof(f256,plain,
! [X10,X0,X8,X9,X7] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,inverse(X0),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(forward_demodulation,[],[f255,f113]) ).
fof(f257,plain,
! [X2,X3,X0,X1] : multiply(e,sF3,d) = multiply(multiply(b,multiply(sF0,inverse(multiply(sF1,b,X0)),X0),sF1),inverse(multiply(X1,inverse(X1),multiply(X2,inverse(X2),X3))),multiply(inverse(X1),X3,X1)),
inference(superposition,[],[f256,f115]) ).
fof(f261,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X0,inverse(X0),inverse(inverse(X1)))),multiply(inverse(multiply(X1,inverse(X1),multiply(X0,inverse(X0),inverse(inverse(X1))))),X1,multiply(X1,inverse(X1),multiply(X0,inverse(X0),inverse(inverse(X1)))))) = X3,
inference(superposition,[],[f256,f256]) ).
fof(f270,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = multiply(inverse(X2),X1,X2),
inference(superposition,[],[f113,f256]) ).
fof(f278,plain,
! [X2,X1] : multiply(inverse(X2),X1,X2) = X1,
inference(forward_demodulation,[],[f270,f113]) ).
fof(f286,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X0,inverse(X0),inverse(inverse(X1)))),X1) = X3,
inference(backward_demodulation,[],[f261,f278]) ).
fof(f288,plain,
! [X2,X3,X0,X1] : multiply(e,sF3,d) = multiply(multiply(b,multiply(sF0,inverse(multiply(sF1,b,X0)),X0),sF1),inverse(multiply(X1,inverse(X1),multiply(X2,inverse(X2),X3))),X3),
inference(backward_demodulation,[],[f257,f278]) ).
fof(f296,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2) = X1,
inference(backward_demodulation,[],[f79,f278]) ).
fof(f323,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = X0,
inference(superposition,[],[f113,f278]) ).
fof(f333,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0))),X0) = X1,
inference(superposition,[],[f296,f278]) ).
fof(f356,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X1,inverse(X1),X0)),
inference(superposition,[],[f278,f296]) ).
fof(f364,plain,
! [X2,X3,X0] : multiply(e,sF3,d) = multiply(multiply(b,multiply(sF0,inverse(multiply(sF1,b,X0)),X0),sF1),inverse(multiply(X2,inverse(X2),X3)),X3),
inference(backward_demodulation,[],[f288,f356]) ).
fof(f373,plain,
! [X2,X1] : multiply(X1,inverse(X2),X2) = X1,
inference(backward_demodulation,[],[f296,f356]) ).
fof(f374,plain,
! [X2,X3,X1] : multiply(multiply(X2,inverse(X2),X3),inverse(inverse(inverse(X1))),X1) = X3,
inference(backward_demodulation,[],[f286,f356]) ).
fof(f376,plain,
! [X2,X10,X0,X11,X1,X8,X9] : multiply(X8,multiply(X9,inverse(multiply(X10,X8,X11)),X11),X10) = multiply(multiply(X10,X8,X9),inverse(multiply(X0,X1,X2)),multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d))),
inference(backward_demodulation,[],[f142,f356]) ).
fof(f377,plain,
! [X2,X0,X1,X8,X9] : multiply(multiply(X8,inverse(X8),X9),inverse(multiply(X0,X1,X2)),multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d))) = X9,
inference(backward_demodulation,[],[f143,f356]) ).
fof(f393,plain,
! [X2,X3] : multiply(X2,inverse(X2),X3) = X3,
inference(forward_demodulation,[],[f374,f333]) ).
fof(f401,plain,
! [X3,X0] : multiply(e,sF3,d) = multiply(multiply(b,multiply(sF0,inverse(multiply(sF1,b,X0)),X0),sF1),inverse(X3),X3),
inference(forward_demodulation,[],[f364,f356]) ).
fof(f446,plain,
! [X1] : multiply(X1,inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = X1,
inference(backward_demodulation,[],[f113,f393]) ).
fof(f547,plain,
! [X2,X0,X1,X9] : multiply(X9,inverse(multiply(X0,X1,X2)),multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d))) = X9,
inference(backward_demodulation,[],[f377,f393]) ).
fof(f564,plain,
! [X0] : multiply(e,sF3,d) = multiply(b,multiply(sF0,inverse(multiply(sF1,b,X0)),X0),sF1),
inference(forward_demodulation,[],[f401,f373]) ).
fof(f575,plain,
! [X10,X11,X8,X9] : multiply(X8,multiply(X9,inverse(multiply(X10,X8,X11)),X11),X10) = multiply(X10,X8,X9),
inference(backward_demodulation,[],[f376,f547]) ).
fof(f651,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f323,f446]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)) = multiply(X2,multiply(X3,X0,X4),X1),
inference(backward_demodulation,[],[f116,f446]) ).
fof(f747,plain,
multiply(e,sF3,d) = multiply(sF1,b,sF0),
inference(backward_demodulation,[],[f564,f575]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,X2,X4),X0,multiply(X1,X2,X3)) = multiply(X2,multiply(X3,X0,X4),X1),
inference(forward_demodulation,[],[f658,f575]) ).
fof(f1114,plain,
! [X0,X1] : multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[],[f278,f651]) ).
fof(f1115,plain,
! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
inference(superposition,[],[f393,f651]) ).
fof(f1146,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X3,X2),X1) = multiply(multiply(X1,X0,X2),X3,X0),
inference(superposition,[],[f801,f1114]) ).
fof(f1149,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,X3,X2),inverse(X1)) = multiply(multiply(inverse(X1),X1,X2),X3,X0),
inference(superposition,[],[f801,f1115]) ).
fof(f1167,plain,
! [X2,X3,X0,X1] : multiply(X2,X3,X0) = multiply(X1,multiply(X0,X3,X2),inverse(X1)),
inference(forward_demodulation,[],[f1149,f1115]) ).
fof(f1183,plain,
! [X2,X3,X0] : multiply(X2,X3,X0) = multiply(X0,X3,X2),
inference(forward_demodulation,[],[f1167,f1114]) ).
fof(f1211,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X3,X2),X1) = multiply(X0,X3,multiply(X1,X0,X2)),
inference(backward_demodulation,[],[f1146,f1183]) ).
fof(f1225,plain,
sF4 = multiply(sF3,e,d),
inference(backward_demodulation,[],[f12,f1183]) ).
fof(f1231,plain,
multiply(sF1,b,sF0) = multiply(d,sF3,e),
inference(backward_demodulation,[],[f747,f1183]) ).
fof(f1247,plain,
multiply(sF0,b,sF1) = multiply(d,sF3,e),
inference(forward_demodulation,[],[f1231,f1183]) ).
fof(f1259,plain,
sF2 = multiply(d,sF3,e),
inference(forward_demodulation,[],[f1247,f8]) ).
fof(f1300,plain,
! [X2,X0,X1] : multiply(X1,X0,X2) = multiply(X1,X0,multiply(X2,X1,inverse(inverse(X2)))),
inference(superposition,[],[f1211,f1114]) ).
fof(f1339,plain,
! [X2,X0,X1] : multiply(X1,X0,X2) = multiply(X1,X0,multiply(X2,X1,X2)),
inference(forward_demodulation,[],[f1300,f651]) ).
fof(f1351,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = multiply(X1,X0,X1),
inference(superposition,[],[f393,f1339]) ).
fof(f1365,plain,
! [X0,X1] : multiply(X1,X0,X1) = X1,
inference(forward_demodulation,[],[f1351,f393]) ).
fof(f1400,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(X1,multiply(X2,X3,X2),X0),
inference(superposition,[],[f801,f1365]) ).
fof(f1401,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X1,X2,X0),
inference(forward_demodulation,[],[f1400,f1365]) ).
fof(f1414,plain,
sF2 = multiply(sF3,e,d),
inference(backward_demodulation,[],[f1259,f1401]) ).
fof(f1417,plain,
sF2 = sF4,
inference(backward_demodulation,[],[f1225,f1414]) ).
fof(f1418,plain,
$false,
inference(forward_subsumption_resolution,[],[f1417,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n002.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 21:10:40 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.33 Running first-order theorem proving
% 0.24/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.47/2.22 % (767929)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.47/2.22 % (767936)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2568792489:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.47/2.22 % (767938)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2253697586:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.47/2.22 % (767934)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1477625349:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.47/2.22 % (767935)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3236868255:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.47/2.22 % (767939)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=180982152:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.47/2.22 % (767937)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=976876696:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.47/2.22 % (767940)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2169467078:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.47/2.22 % (767938)Instruction limit reached!
% 8.47/2.22 % (767938)------------------------------
% 8.47/2.22 % (767938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.22 % (767938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.22 % (767938)CaDiCaL version: 2.1.3
% 8.47/2.22 % (767938)Termination reason: Instruction limit
% 8.47/2.22 % (767938)Termination phase: Saturation
% 8.47/2.22 % (767938)Time elapsed: 0.157 s
% 8.47/2.22 % (767938)Peak memory usage: 89 MB
% 8.47/2.22 % (767938)Instructions burned: 182 (million)
% 8.47/2.22 % (767937)Instruction limit reached!
% 8.47/2.22 % (767937)------------------------------
% 8.47/2.22 % (767937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.22 % (767937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.22 % (767937)CaDiCaL version: 2.1.3
% 8.47/2.22 % (767937)Termination reason: Instruction limit
% 8.47/2.22 % (767937)Termination phase: Saturation
% 8.47/2.22 % (767937)Time elapsed: 0.133 s
% 8.47/2.22 % (767937)Peak memory usage: 89 MB
% 8.47/2.22 % (767937)Instructions burned: 136 (million)
% 8.47/2.22 % (767939)Instruction limit reached!
% 8.47/2.22 % (767939)------------------------------
% 8.47/2.22 % (767939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.22 % (767939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.22 % (767939)CaDiCaL version: 2.1.3
% 8.47/2.22 % (767939)Termination reason: Instruction limit
% 8.47/2.22 % (767939)Termination phase: Saturation
% 8.47/2.22 % (767939)Time elapsed: 0.244 s
% 8.47/2.22 % (767939)Peak memory usage: 89 MB
% 8.47/2.22 % (767939)Instructions burned: 257 (million)
% 8.47/2.22 % (767949)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3682346449:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 8.47/2.22 % (767948)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=678519416:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 8.47/2.22 % (767950)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=209401369:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 8.47/2.22 % (767950)Instruction limit reached!
% 8.47/2.22 % (767950)------------------------------
% 8.47/2.22 % (767950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.22 % (767950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.22 % (767950)CaDiCaL version: 2.1.3
% 8.47/2.22 % (767950)Termination reason: Instruction limit
% 8.47/2.22 % (767950)Termination phase: Saturation
% 8.47/2.22 % (767950)Time elapsed: 0.188 s
% 8.47/2.22 % (767950)Peak memory usage: 88 MB
% 8.47/2.22 % (767950)Instructions burned: 215 (million)
% 8.47/2.22 % (767936)First to succeed.
% 8.47/2.22 % (767936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-767929"
% 8.47/2.22 % (767955)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2028556469:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 8.47/2.22 % (767936)Refutation found. Thanks to Tanya!
% 8.47/2.22 % SZS status Unsatisfiable for theBenchmark
% 8.47/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 9.99/2.38 % (767936)------------------------------
% 9.99/2.38 % (767936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.38 % (767936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.38 % (767936)CaDiCaL version: 2.1.3
% 9.99/2.38 % (767936)Termination reason: Refutation
% 9.99/2.38 % (767936)Time elapsed: 0.860 s
% 9.99/2.38 % (767936)Peak memory usage: 133 MB
% 9.99/2.38 % (767936)Instructions burned: 1499 (million)
% 9.99/2.38 % (767936)------------------------------
% 9.99/2.38 % (767936)------------------------------
% 9.99/2.38 % (767929)Success in time 1.303 s
% 9.99/2.38 % Vampire exiting
%------------------------------------------------------------------------------