%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:14:08 AM UTC 2026
% Result : Unsatisfiable 3.07s 1.35s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 194 ( 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f9,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,X0),multiply(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X1,X0)) = inverse(multiply(X0,X1)),
inference(superposition,[],[f7,f6]) ).
fof(f12,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f83,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1)))) = X1,
inference(superposition,[],[f26,f4]) ).
fof(f89,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,inverse(X0)),inverse(identity)),identity)) = X1,
inference(superposition,[],[f26,f4]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(double_divide(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),inverse(identity)),double_divide(X1,X3))),inverse(identity)),X0)) = X2,
inference(superposition,[],[f26,f26]) ).
fof(f97,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(X2,X1)),double_divide(identity,X2)),
inference(superposition,[],[f6,f26]) ).
fof(f101,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),inverse(double_divide(double_divide(X1,inverse(X0)),inverse(identity)))) = X1,
inference(forward_demodulation,[],[f89,f3]) ).
fof(f106,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
inference(forward_demodulation,[],[f83,f4]) ).
fof(f111,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),multiply(inverse(identity),double_divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f101,f6]) ).
fof(f130,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(superposition,[],[f106,f4]) ).
fof(f137,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f130,f3]) ).
fof(f139,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f137,f4]) ).
fof(f148,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f139,f4]) ).
fof(f149,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f137,f148]) ).
fof(f163,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f149,f3]) ).
fof(f165,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f163,f6]) ).
fof(f188,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(superposition,[],[f9,f165]) ).
fof(f208,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),multiply(identity,double_divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f111,f148]) ).
fof(f209,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(forward_demodulation,[],[f208,f10]) ).
fof(f218,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f106,f188]) ).
fof(f230,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f218,f3]) ).
fof(f236,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[],[f230,f137]) ).
fof(f326,plain,
! [X0] : double_divide(inverse(identity),inverse(multiply(inverse(identity),X0))) = X0,
inference(superposition,[],[f209,f3]) ).
fof(f352,plain,
! [X0] : double_divide(identity,inverse(multiply(identity,X0))) = X0,
inference(forward_demodulation,[],[f326,f148]) ).
fof(f359,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f352,f236]) ).
fof(f365,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f359,f10]) ).
fof(f371,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(superposition,[],[f12,f359]) ).
fof(f394,plain,
! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f106,f371]) ).
fof(f395,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(double_divide(double_divide(X1,X0),inverse(identity)),identity)) = X1,
inference(superposition,[],[f26,f371]) ).
fof(f405,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),inverse(double_divide(double_divide(X1,X0),inverse(identity)))) = X1,
inference(forward_demodulation,[],[f395,f3]) ).
fof(f406,plain,
! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f394,f3]) ).
fof(f413,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),multiply(inverse(identity),double_divide(X1,X0))) = X1,
inference(forward_demodulation,[],[f405,f6]) ).
fof(f414,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f406,f137]) ).
fof(f416,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),multiply(identity,double_divide(X1,X0))) = X1,
inference(forward_demodulation,[],[f413,f148]) ).
fof(f417,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),inverse(multiply(X0,X1))) = X1,
inference(forward_demodulation,[],[f416,f10]) ).
fof(f418,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(forward_demodulation,[],[f417,f236]) ).
fof(f434,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(superposition,[],[f236,f414]) ).
fof(f609,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f418,f365]) ).
fof(f612,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f609,f609]) ).
fof(f626,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(superposition,[],[f6,f609]) ).
fof(f1380,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(X2,X1)),inverse(X2)),
inference(forward_demodulation,[],[f97,f434]) ).
fof(f1381,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)),inverse(X2)),
inference(forward_demodulation,[],[f1380,f148]) ).
fof(f1382,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)),inverse(X2)),
inference(forward_demodulation,[],[f1381,f3]) ).
fof(f1383,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(multiply(X1,X0),double_divide(X2,X1)),inverse(X2)),
inference(forward_demodulation,[],[f1382,f6]) ).
fof(f1580,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(multiply(X1,X0),double_divide(identity,X1)),identity),
inference(superposition,[],[f1383,f148]) ).
fof(f1601,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,X0),double_divide(identity,X1)),
inference(forward_demodulation,[],[f1580,f165]) ).
fof(f1639,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[],[f1601,f434]) ).
fof(f1740,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f609,f1639]) ).
fof(f1741,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f612,f1639]) ).
fof(f1820,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f1740,f414]) ).
fof(f2448,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(double_divide(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3))),identity),X0)) = X2,
inference(forward_demodulation,[],[f91,f148]) ).
fof(f2449,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(inverse(double_divide(X2,double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3)))),X0)) = X2,
inference(forward_demodulation,[],[f2448,f3]) ).
fof(f2450,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(multiply(double_divide(double_divide(double_divide(X0,X3),identity),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2449,f6]) ).
fof(f2451,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(multiply(double_divide(inverse(double_divide(X0,X3)),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2450,f3]) ).
fof(f2452,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,X1)),double_divide(multiply(double_divide(multiply(X3,X0),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2451,f6]) ).
fof(f2453,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(identity,X1)),double_divide(multiply(double_divide(multiply(X3,X0),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2452,f434]) ).
fof(f2454,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X1,identity),double_divide(multiply(double_divide(multiply(X3,X0),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2453,f6]) ).
fof(f2455,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(multiply(double_divide(multiply(X3,X0),double_divide(X1,X3)),X2),X0)) = X2,
inference(forward_demodulation,[],[f2454,f165]) ).
fof(f2683,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,multiply(double_divide(multiply(X1,X2),double_divide(double_divide(double_divide(X3,X2),inverse(identity)),X1)),X0)),X0) = X3,
inference(superposition,[],[f26,f2455]) ).
fof(f2685,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(X0,inverse(multiply(double_divide(multiply(X3,X2),double_divide(multiply(X2,X1),X3)),X0))),
inference(superposition,[],[f1383,f2455]) ).
fof(f2688,plain,
! [X2,X3,X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(double_divide(multiply(X3,X2),double_divide(multiply(X2,X1),X3)),X0)),
inference(forward_demodulation,[],[f2685,f1820]) ).
fof(f2690,plain,
! [X2,X3,X0,X1] : double_divide(inverse(multiply(double_divide(multiply(X1,X2),double_divide(double_divide(double_divide(X3,X2),inverse(identity)),X1)),X0)),X0) = X3,
inference(forward_demodulation,[],[f2683,f434]) ).
fof(f2752,plain,
! [X2,X3,X1] : inverse(X1) = inverse(double_divide(multiply(X3,X2),double_divide(multiply(X2,X1),X3))),
inference(forward_demodulation,[],[f2688,f1741]) ).
fof(f2753,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X1,X2),double_divide(double_divide(double_divide(X3,X2),inverse(identity)),X1))),X0) = X3,
inference(forward_demodulation,[],[f2690,f365]) ).
fof(f2796,plain,
! [X2,X3,X1] : inverse(X1) = multiply(double_divide(multiply(X2,X1),X3),multiply(X3,X2)),
inference(forward_demodulation,[],[f2752,f6]) ).
fof(f2797,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),double_divide(double_divide(double_divide(X3,X2),inverse(identity)),X1)) = X3,
inference(forward_demodulation,[],[f2753,f612]) ).
fof(f2829,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),double_divide(double_divide(double_divide(X3,X2),identity),X1)) = X3,
inference(forward_demodulation,[],[f2797,f148]) ).
fof(f2840,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),double_divide(inverse(double_divide(X3,X2)),X1)) = X3,
inference(forward_demodulation,[],[f2829,f3]) ).
fof(f2847,plain,
! [X2,X3,X1] : double_divide(multiply(X1,X2),double_divide(multiply(X2,X3),X1)) = X3,
inference(forward_demodulation,[],[f2840,f6]) ).
fof(f2879,plain,
! [X2,X0,X1] : double_divide(inverse(multiply(X0,X1)),double_divide(multiply(double_divide(X1,X0),X2),identity)) = X2,
inference(superposition,[],[f2847,f10]) ).
fof(f2995,plain,
! [X2,X0,X1] : double_divide(inverse(multiply(X0,X1)),inverse(multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[],[f2879,f3]) ).
fof(f3030,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = X2,
inference(forward_demodulation,[],[f2995,f1740]) ).
fof(f3732,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(multiply(X1,multiply(X2,X0)),inverse(X0)),
inference(superposition,[],[f3030,f2796]) ).
fof(f3770,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(inverse(multiply(X1,multiply(X2,X0))),X0),
inference(forward_demodulation,[],[f3732,f1820]) ).
fof(f3821,plain,
! [X2,X0,X1] : multiply(X1,X2) = double_divide(double_divide(multiply(X2,X0),X1),X0),
inference(forward_demodulation,[],[f3770,f365]) ).
fof(f3945,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(superposition,[],[f626,f3821]) ).
fof(f3961,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f3945,f6]) ).
fof(f5078,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f3961]) ).
fof(f5113,plain,
$false,
inference(trivial_inequality_removal,[],[f5078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP495-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:03:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 3.07/1.35 % (1175488)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.07/1.35 % (1175508)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=933376483:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.07/1.35 % (1175512)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1760257831:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.07/1.35 % (1175507)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=357040068:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.07/1.35 % (1175506)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=3639845471:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.07/1.35 % (1175509)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3674168891:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.07/1.35 % (1175510)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3730972913:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.07/1.35 % (1175511)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=935316491:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.07/1.35 % (1175512)First to succeed.
% 3.07/1.35 % (1175512)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1175488"
% 3.07/1.35 % (1175511)Also succeeded, but the first one will report.
% 3.07/1.35 % (1175509)Instruction limit reached!
% 3.07/1.35 % (1175509)------------------------------
% 3.07/1.35 % (1175509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.35 % (1175509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.35 % (1175509)CaDiCaL version: 2.1.3
% 3.07/1.35 % (1175509)Termination reason: Instruction limit
% 3.07/1.35 % (1175509)Termination phase: Saturation
% 3.07/1.35 % (1175509)Time elapsed: 0.085 s
% 3.07/1.35 % (1175509)Peak memory usage: 89 MB
% 3.07/1.35 % (1175509)Instructions burned: 137 (million)
% 3.07/1.35 % (1175510)Instruction limit reached!
% 3.07/1.35 % (1175510)------------------------------
% 3.07/1.35 % (1175510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.35 % (1175510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.35 % (1175510)CaDiCaL version: 2.1.3
% 3.07/1.35 % (1175510)Termination reason: Instruction limit
% 3.07/1.35 % (1175510)Termination phase: Saturation
% 3.07/1.35 % (1175510)Time elapsed: 0.097 s
% 3.07/1.35 % (1175510)Peak memory usage: 89 MB
% 3.07/1.35 % (1175510)Instructions burned: 183 (million)
% 3.07/1.35 % (1175555)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2610396820:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.07/1.35 % (1175556)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=808879109:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.07/1.35 % (1175512)Refutation found. Thanks to Tanya!
% 3.07/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.07/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.54 % (1175512)------------------------------
% 3.94/1.54 % (1175512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.54 % (1175512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.54 % (1175512)CaDiCaL version: 2.1.3
% 3.94/1.54 % (1175512)Termination reason: Refutation
% 3.94/1.54 % (1175512)Time elapsed: 0.076 s
% 3.94/1.54 % (1175512)Peak memory usage: 89 MB
% 3.94/1.54 % (1175512)Instructions burned: 134 (million)
% 3.94/1.54 % (1175512)------------------------------
% 3.94/1.54 % (1175512)------------------------------
% 3.94/1.54 % (1175488)Success in time 0.465 s
% 3.94/1.54 % Vampire exiting
%------------------------------------------------------------------------------