%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP203-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:13:19 AM UTC 2026
% Result : Unsatisfiable 13.67s 2.54s
% Output : Refutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 86 unt; 6 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(left_inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang3) ).
fof(f5,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
fof(f6,definition,
sF0 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
multiply(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = multiply(sF0,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
multiply(sF0,c) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = multiply(sF1,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
multiply(sF1,b) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = multiply(c,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
multiply(c,b) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = multiply(b,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
multiply(b,sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = multiply(a,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
multiply(a,sF4) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
sF2 != sF5,
inference(definition_folding,[],[f5,f17,f15,f13,f11,f9,f7]) ).
fof(f19,plain,
multiply(multiply(a,b),c) = sF1,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f20,plain,
! [X0,X1] : multiply(identity,multiply(X0,multiply(identity,X1))) = multiply(multiply(X0,identity),X1),
inference(superposition,[],[f4,f1]) ).
fof(f23,plain,
! [X0,X1] : multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X0))) = multiply(multiply(identity,left_inverse(X1)),X0),
inference(superposition,[],[f4,f3]) ).
fof(f29,plain,
! [X0,X1] : multiply(left_inverse(X1),X0) = multiply(left_inverse(X1),multiply(X1,multiply(left_inverse(X1),X0))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f31,plain,
! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(multiply(X0,identity),X1),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f33,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,identity),X1),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(multiply(X0,multiply(X1,multiply(X0,identity))),X2),
inference(superposition,[],[f33,f4]) ).
fof(f36,plain,
! [X0,X1] : multiply(X0,multiply(identity,multiply(X0,X1))) = multiply(multiply(X0,X0),X1),
inference(superposition,[],[f4,f33]) ).
fof(f39,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X0),X1),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f41,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(X0,multiply(X1,multiply(X0,identity))),X2),
inference(forward_demodulation,[],[f34,f4]) ).
fof(f137,plain,
! [X0] : identity = multiply(left_inverse(X0),multiply(X0,identity)),
inference(superposition,[],[f29,f3]) ).
fof(f152,plain,
! [X0,X1] : identity = multiply(left_inverse(multiply(multiply(X0,X1),X0)),multiply(X0,multiply(X1,multiply(X0,identity)))),
inference(superposition,[],[f137,f4]) ).
fof(f263,plain,
! [X0,X1] : identity = multiply(left_inverse(multiply(multiply(X1,multiply(X0,X0)),X1)),multiply(X1,multiply(X0,multiply(X0,multiply(X1,identity))))),
inference(superposition,[],[f152,f39]) ).
fof(f403,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(X0,multiply(left_inverse(X0),multiply(X0,X1))),
inference(superposition,[],[f41,f137]) ).
fof(f441,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(left_inverse(X0),multiply(X0,X1))),
inference(forward_demodulation,[],[f403,f33]) ).
fof(f507,plain,
! [X0] : identity = multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),identity)),
inference(superposition,[],[f441,f137]) ).
fof(f7604,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),identity))),
inference(superposition,[],[f263,f507]) ).
fof(f7656,plain,
! [X0] : identity = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),identity),
inference(forward_demodulation,[],[f7604,f137]) ).
fof(f7767,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),X1),
inference(superposition,[],[f33,f7656]) ).
fof(f7805,plain,
! [X0,X1] : multiply(left_inverse(multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0)))),X1) = X1,
inference(forward_demodulation,[],[f7767,f1]) ).
fof(f7884,plain,
! [X0] : identity = multiply(multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),left_inverse(X0))),left_inverse(left_inverse(X0))),
inference(superposition,[],[f7805,f3]) ).
fof(f8014,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(left_inverse(X0)),multiply(multiply(left_inverse(X0),left_inverse(X0)),multiply(left_inverse(left_inverse(X0)),X1))),
inference(superposition,[],[f4,f7884]) ).
fof(f8026,plain,
! [X0,X1] : multiply(identity,X1) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)))),
inference(forward_demodulation,[],[f8014,f39]) ).
fof(f8030,plain,
! [X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)))) = X1,
inference(forward_demodulation,[],[f8026,f1]) ).
fof(f8038,plain,
! [X0] : left_inverse(X0) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),identity))),
inference(superposition,[],[f8030,f3]) ).
fof(f8047,plain,
! [X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)))) = multiply(left_inverse(left_inverse(left_inverse(X0))),multiply(left_inverse(left_inverse(X0)),X1)),
inference(superposition,[],[f8030,f441]) ).
fof(f8054,plain,
! [X0,X1] : multiply(left_inverse(X0),X1) = multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),multiply(left_inverse(X0),X1))),
inference(superposition,[],[f8030,f441]) ).
fof(f8055,plain,
! [X0,X1] : multiply(left_inverse(X0),X1) = multiply(left_inverse(X0),multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1))),
inference(superposition,[],[f441,f8030]) ).
fof(f8076,plain,
! [X0,X1] : multiply(left_inverse(left_inverse(X0)),multiply(left_inverse(X0),X1)) = X1,
inference(backward_demodulation,[],[f8030,f8055]) ).
fof(f8082,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)) = multiply(left_inverse(left_inverse(left_inverse(X0))),multiply(left_inverse(left_inverse(X0)),X1)),
inference(forward_demodulation,[],[f8047,f8054]) ).
fof(f8089,plain,
! [X0] : left_inverse(X0) = multiply(left_inverse(X0),identity),
inference(forward_demodulation,[],[f8038,f8054]) ).
fof(f8105,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(left_inverse(left_inverse(X0)),X1)) = X1,
inference(forward_demodulation,[],[f8082,f8076]) ).
fof(f8703,plain,
! [X0] : multiply(left_inverse(left_inverse(X0)),identity) = X0,
inference(superposition,[],[f8076,f3]) ).
fof(f8705,plain,
! [X0,X1] : multiply(X1,multiply(left_inverse(X1),X0)) = multiply(left_inverse(left_inverse(X1)),multiply(left_inverse(X1),X0)),
inference(superposition,[],[f8076,f29]) ).
fof(f8706,plain,
! [X0] : multiply(X0,identity) = multiply(left_inverse(left_inverse(X0)),identity),
inference(superposition,[],[f8076,f137]) ).
fof(f8771,plain,
! [X0] : multiply(X0,identity) = left_inverse(left_inverse(X0)),
inference(forward_demodulation,[],[f8706,f8089]) ).
fof(f8772,plain,
! [X0,X1] : multiply(X1,multiply(left_inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f8705,f8076]) ).
fof(f8773,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(forward_demodulation,[],[f8703,f8089]) ).
fof(f8795,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,identity),X1)) = X1,
inference(backward_demodulation,[],[f8105,f8771]) ).
fof(f8811,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f8771,f8773]) ).
fof(f8998,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f8795,f33]) ).
fof(f9003,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,X2))) = multiply(multiply(X0,multiply(X1,X0)),X2),
inference(backward_demodulation,[],[f41,f8811]) ).
fof(f10200,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,multiply(X0,identity))),
inference(superposition,[],[f4,f8811]) ).
fof(f10219,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f10200,f8811]) ).
fof(f10605,plain,
c = multiply(left_inverse(multiply(a,b)),sF1),
inference(superposition,[],[f8998,f19]) ).
fof(f10609,plain,
sF4 = multiply(left_inverse(a),sF5),
inference(superposition,[],[f8998,f17]) ).
fof(f10618,plain,
b = multiply(left_inverse(sF1),sF2),
inference(superposition,[],[f8998,f11]) ).
fof(f10832,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(multiply(left_inverse(X1),X0),X1)),
inference(superposition,[],[f10219,f8772]) ).
fof(f11018,plain,
! [X0] : multiply(multiply(b,sF3),X0) = multiply(b,multiply(c,multiply(b,X0))),
inference(superposition,[],[f9003,f13]) ).
fof(f11063,plain,
! [X0] : multiply(sF4,X0) = multiply(b,multiply(c,multiply(b,X0))),
inference(forward_demodulation,[],[f11018,f15]) ).
fof(f11714,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = multiply(X0,multiply(left_inverse(X0),multiply(X1,multiply(left_inverse(X0),X0)))),
inference(superposition,[],[f10832,f9003]) ).
fof(f11756,plain,
! [X0,X1] : multiply(X1,multiply(left_inverse(X0),X0)) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f11714,f8772]) ).
fof(f11776,plain,
! [X0,X1] : multiply(X1,identity) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f11756,f3]) ).
fof(f11781,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f11776,f8811]) ).
fof(f11790,plain,
! [X0,X1] : multiply(multiply(X1,X0),left_inverse(X0)) = X1,
inference(superposition,[],[f11781,f8773]) ).
fof(f11872,plain,
! [X0,X1] : left_inverse(X0) = multiply(X1,left_inverse(multiply(X0,X1))),
inference(superposition,[],[f11790,f8998]) ).
fof(f11880,plain,
left_inverse(multiply(a,b)) = multiply(c,left_inverse(sF1)),
inference(superposition,[],[f11790,f10605]) ).
fof(f11886,plain,
left_inverse(a) = multiply(sF4,left_inverse(sF5)),
inference(superposition,[],[f11790,f10609]) ).
fof(f11892,plain,
left_inverse(sF1) = multiply(b,left_inverse(sF2)),
inference(superposition,[],[f11790,f10618]) ).
fof(f12020,plain,
left_inverse(sF5) = multiply(left_inverse(sF4),left_inverse(a)),
inference(superposition,[],[f8998,f11886]) ).
fof(f12023,plain,
multiply(sF4,left_inverse(sF2)) = multiply(b,multiply(c,left_inverse(sF1))),
inference(superposition,[],[f11063,f11892]) ).
fof(f12030,plain,
multiply(sF4,left_inverse(sF2)) = multiply(b,left_inverse(multiply(a,b))),
inference(forward_demodulation,[],[f12023,f11880]) ).
fof(f12031,plain,
left_inverse(a) = multiply(sF4,left_inverse(sF2)),
inference(forward_demodulation,[],[f12030,f11872]) ).
fof(f12045,plain,
left_inverse(sF2) = multiply(left_inverse(sF4),left_inverse(a)),
inference(superposition,[],[f8998,f12031]) ).
fof(f12048,plain,
left_inverse(sF2) = left_inverse(sF5),
inference(forward_demodulation,[],[f12045,f12020]) ).
fof(f12070,plain,
sF2 = left_inverse(left_inverse(sF5)),
inference(superposition,[],[f8773,f12048]) ).
fof(f12077,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f12070,f8773]) ).
fof(f12079,plain,
$false,
inference(forward_subsumption_resolution,[],[f12077,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP203-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.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 : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:37:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.67/2.54 % (550997)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.67/2.54 % (551007)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2357987571:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.67/2.54 % (551002)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=2040586415:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.67/2.54 % (551008)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3268298719:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.67/2.54 % (551006)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2916033931:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.67/2.54 % (551005)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3548576256:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.67/2.54 % (551003)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=3771735333:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.67/2.54 % (551004)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1246781877:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.67/2.54 % (551007)Instruction limit reached!
% 13.67/2.54 % (551007)------------------------------
% 13.67/2.54 % (551007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551007)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551007)Termination reason: Instruction limit
% 13.67/2.54 % (551007)Termination phase: Saturation
% 13.67/2.54 % (551007)Time elapsed: 0.081 s
% 13.67/2.54 % (551007)Peak memory usage: 90 MB
% 13.67/2.54 % (551007)Instructions burned: 260 (million)
% 13.67/2.54 % (551005)Instruction limit reached!
% 13.67/2.54 % (551005)------------------------------
% 13.67/2.54 % (551005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551005)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551005)Termination reason: Instruction limit
% 13.67/2.54 % (551005)Termination phase: Saturation
% 13.67/2.54 % (551005)Time elapsed: 0.077 s
% 13.67/2.54 % (551005)Peak memory usage: 89 MB
% 13.67/2.54 % (551005)Instructions burned: 137 (million)
% 13.67/2.54 % (551006)Instruction limit reached!
% 13.67/2.54 % (551006)------------------------------
% 13.67/2.54 % (551006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551006)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551006)Termination reason: Instruction limit
% 13.67/2.54 % (551006)Termination phase: Saturation
% 13.67/2.54 % (551006)Time elapsed: 0.088 s
% 13.67/2.54 % (551006)Peak memory usage: 89 MB
% 13.67/2.54 % (551006)Instructions burned: 181 (million)
% 13.67/2.54 % (551016)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3562414109:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 13.67/2.54 % (551017)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2144549574:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 13.67/2.54 % (551018)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1735621135:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 13.67/2.54 % (551018)Instruction limit reached!
% 13.67/2.54 % (551018)------------------------------
% 13.67/2.54 % (551018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551018)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551018)Termination reason: Instruction limit
% 13.67/2.54 % (551018)Termination phase: Saturation
% 13.67/2.54 % (551018)Time elapsed: 0.104 s
% 13.67/2.54 % (551018)Peak memory usage: 88 MB
% 13.67/2.54 % (551018)Instructions burned: 216 (million)
% 13.67/2.54 % (551022)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=4142684228:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 13.67/2.54 % (551008)Instruction limit reached!
% 13.67/2.54 % (551008)------------------------------
% 13.67/2.54 % (551008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551008)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551008)Termination reason: Instruction limit
% 13.67/2.54 % (551008)Termination phase: Saturation
% 13.67/2.54 % (551008)Time elapsed: 0.573 s
% 13.67/2.54 % (551008)Peak memory usage: 98 MB
% 13.67/2.54 % (551008)Instructions burned: 1189 (million)
% 13.67/2.54 % (551022)Instruction limit reached!
% 13.67/2.54 % (551022)------------------------------
% 13.67/2.54 % (551022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551022)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551022)Termination reason: Instruction limit
% 13.67/2.54 % (551022)Termination phase: Saturation
% 13.67/2.54 % (551022)Time elapsed: 0.171 s
% 13.67/2.54 % (551022)Peak memory usage: 93 MB
% 13.67/2.54 % (551022)Instructions burned: 319 (million)
% 13.67/2.54 % (551024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1371647054:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 13.67/2.54 % (551025)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1696697761:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 13.67/2.54 % (551016)Instruction limit reached!
% 13.67/2.54 % (551016)------------------------------
% 13.67/2.54 % (551016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.67/2.54 % (551016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.54 % (551016)CaDiCaL version: 2.1.3
% 13.67/2.54 % (551016)Termination reason: Instruction limit
% 13.67/2.54 % (551016)Termination phase: Saturation
% 13.67/2.54 % (551016)Time elapsed: 1.043 s
% 13.67/2.54 % (551016)Peak memory usage: 141 MB
% 13.67/2.54 % (551016)Instructions burned: 2052 (million)
% 13.67/2.54 % (551028)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=58942772:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 13.67/2.54 % (551025)First to succeed.
% 13.67/2.54 % (551025)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-550997"
% 13.67/2.54 % (551025)Refutation found. Thanks to Tanya!
% 13.67/2.54 % SZS status Unsatisfiable for theBenchmark
% 13.67/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 14.06/2.64 % (551025)------------------------------
% 14.06/2.64 % (551025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.64 % (551025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.64 % (551025)CaDiCaL version: 2.1.3
% 14.06/2.64 % (551025)Termination reason: Refutation
% 14.06/2.64 % (551025)Time elapsed: 0.802 s
% 14.06/2.64 % (551025)Peak memory usage: 100 MB
% 14.06/2.64 % (551025)Instructions burned: 1347 (million)
% 14.06/2.64 % (551025)------------------------------
% 14.06/2.64 % (551025)------------------------------
% 14.06/2.64 % (550997)Success in time 1.952 s
% 14.06/2.64 % Vampire exiting
%------------------------------------------------------------------------------