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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP608-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 10:14:58 AM UTC 2026

% Result   : Unsatisfiable 1.87s 1.14s
% Output   : Refutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   69 (  69 unt;   1 def)
%            Number of atoms       :   69 (  65 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  204 ( 204   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

fof(f4,plain,
    inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f5,definition,
    ~ sP0(inverse(double_divide(b,a))),
    introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).

fof(f6,plain,
    sP0(inverse(double_divide(a,b))),
    inference(inequality_splitting,[],[f4,f5]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,X2))))),inverse(double_divide(inverse(X3),X0)))),X2) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(inverse(X0),double_divide(X2,double_divide(X1,X3))))) = double_divide(inverse(double_divide(X1,inverse(X0))),X3),
    inference(superposition,[],[f1,f1]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X4,X5] : double_divide(X3,inverse(double_divide(inverse(double_divide(inverse(X1),double_divide(X4,double_divide(X0,X2)))),double_divide(X3,double_divide(X4,X5))))) = double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),X5),
    inference(superposition,[],[f8,f8]) ).

fof(f22,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
    inference(superposition,[],[f1,f8]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X3))))),inverse(X0))),X3) = double_divide(inverse(double_divide(X4,inverse(double_divide(inverse(X5),double_divide(X4,X2))))),inverse(double_divide(inverse(X0),X5))),
    inference(superposition,[],[f7,f7]) ).

fof(f59,plain,
    ! [X2,X0] : double_divide(inverse(X0),inverse(double_divide(inverse(X2),X0))) = X2,
    inference(superposition,[],[f7,f1]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(inverse(X0),X4)),double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,inverse(X3)))))),inverse(double_divide(inverse(X0),X2)))),X4)) = X3,
    inference(superposition,[],[f22,f7]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X0),X5) = double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,double_divide(inverse(double_divide(inverse(double_divide(X3,inverse(double_divide(inverse(X4),double_divide(X3,inverse(X2)))))),inverse(double_divide(inverse(X0),X4)))),X5))))),
    inference(superposition,[],[f8,f7]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(X3),double_divide(X2,X1))))),inverse(double_divide(inverse(X0),X3))),
    inference(superposition,[],[f59,f7]) ).

fof(f83,plain,
    ! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))))) = X2,
    inference(superposition,[],[f22,f59]) ).

fof(f85,plain,
    ! [X2,X0,X1] : double_divide(inverse(X0),X1) = double_divide(inverse(double_divide(inverse(X0),X2)),double_divide(inverse(X1),X2)),
    inference(superposition,[],[f22,f59]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,inverse(X3)))))),inverse(double_divide(inverse(X0),X2)))) = X3,
    inference(backward_demodulation,[],[f70,f85]) ).

fof(f95,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X3))))),inverse(X0))),X3) = double_divide(inverse(X2),inverse(X0)),
    inference(backward_demodulation,[],[f56,f77]) ).

fof(f99,plain,
    ! [X2,X3] : double_divide(inverse(double_divide(inverse(X2),inverse(X3))),X2) = X3,
    inference(backward_demodulation,[],[f7,f77]) ).

fof(f100,plain,
    ! [X2,X0,X1,X5] : double_divide(inverse(X0),X5) = double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X5))))),
    inference(backward_demodulation,[],[f71,f77]) ).

fof(f104,plain,
    ! [X3,X0] : double_divide(inverse(X0),double_divide(inverse(inverse(X3)),inverse(X0))) = X3,
    inference(forward_demodulation,[],[f92,f77]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),X3) = double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))),
    inference(superposition,[],[f99,f8]) ).

fof(f117,plain,
    ! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
    inference(superposition,[],[f22,f99]) ).

fof(f118,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,double_divide(inverse(X2),X2))))) = X0,
    inference(superposition,[],[f8,f99]) ).

fof(f137,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X0)) = X0,
    inference(superposition,[],[f59,f117]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X0)))) = double_divide(inverse(double_divide(inverse(double_divide(inverse(X3),X3)),inverse(X2))),inverse(X0)),
    inference(superposition,[],[f8,f137]) ).

fof(f206,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(double_divide(inverse(X2),X0)))),inverse(X0)) = X2,
    inference(superposition,[],[f1,f137]) ).

fof(f207,plain,
    ! [X2,X0] : double_divide(inverse(double_divide(inverse(X2),X0)),inverse(X0)) = X2,
    inference(forward_demodulation,[],[f206,f137]) ).

fof(f208,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X0)))) = double_divide(inverse(X2),inverse(X0)),
    inference(forward_demodulation,[],[f205,f137]) ).

fof(f219,plain,
    ! [X2,X3,X0] : double_divide(inverse(X2),inverse(X0)) = double_divide(inverse(double_divide(inverse(double_divide(inverse(X2),inverse(X3))),inverse(X0))),X3),
    inference(backward_demodulation,[],[f95,f208]) ).

fof(f223,plain,
    ! [X3,X0,X1] : double_divide(inverse(double_divide(X1,inverse(X0))),X3) = double_divide(inverse(X0),inverse(double_divide(X1,X3))),
    inference(backward_demodulation,[],[f8,f208]) ).

fof(f248,plain,
    ! [X2,X0,X5] : double_divide(inverse(X0),X5) = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X5))),
    inference(backward_demodulation,[],[f100,f208]) ).

fof(f250,plain,
    ! [X2,X0] : double_divide(inverse(X0),inverse(double_divide(inverse(X2),X2))) = X0,
    inference(backward_demodulation,[],[f118,f208]) ).

fof(f253,plain,
    ! [X2,X0] : double_divide(inverse(X0),double_divide(inverse(X0),inverse(inverse(X2)))) = X2,
    inference(backward_demodulation,[],[f83,f208]) ).

fof(f259,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),X5) = double_divide(inverse(double_divide(inverse(X1),double_divide(X4,double_divide(X0,X2)))),inverse(double_divide(X4,X5))),
    inference(backward_demodulation,[],[f18,f208]) ).

fof(f285,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))) = double_divide(inverse(double_divide(inverse(X1),inverse(double_divide(X0,X2)))),X3),
    inference(backward_demodulation,[],[f113,f223]) ).

fof(f295,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(inverse(X1),double_divide(X4,double_divide(X0,X2)))),inverse(double_divide(X4,X5))) = double_divide(inverse(double_divide(inverse(X1),inverse(double_divide(X0,X2)))),X5),
    inference(backward_demodulation,[],[f259,f223]) ).

fof(f299,plain,
    ! [X2,X0,X5] : double_divide(inverse(X0),X5) = double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(double_divide(inverse(inverse(X2)),X5))))),
    inference(backward_demodulation,[],[f248,f223]) ).

fof(f320,plain,
    ! [X2,X3,X0] : double_divide(inverse(X2),inverse(X0)) = double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(inverse(X2),inverse(X3))),X3))),
    inference(forward_demodulation,[],[f219,f223]) ).

fof(f344,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(inverse(X1),double_divide(X4,double_divide(X0,X2)))),inverse(double_divide(X4,X5))) = double_divide(inverse(double_divide(X0,X2)),inverse(double_divide(inverse(X1),X5))),
    inference(forward_demodulation,[],[f295,f223]) ).

fof(f353,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))) = double_divide(inverse(double_divide(X0,X2)),inverse(double_divide(inverse(X1),X3))),
    inference(forward_demodulation,[],[f285,f223]) ).

fof(f369,plain,
    ! [X2,X3,X0] : double_divide(inverse(X2),inverse(X0)) = double_divide(inverse(X0),inverse(double_divide(inverse(X3),inverse(double_divide(inverse(X2),X3))))),
    inference(forward_demodulation,[],[f320,f223]) ).

fof(f395,plain,
    ! [X2,X0] : double_divide(inverse(X2),inverse(X0)) = double_divide(inverse(X0),inverse(X2)),
    inference(forward_demodulation,[],[f369,f59]) ).

fof(f440,plain,
    ! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(inverse(X0),X0),
    inference(superposition,[],[f137,f250]) ).

fof(f538,plain,
    ! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(inverse(X0),inverse(inverse(X1))),
    inference(superposition,[],[f207,f207]) ).

fof(f542,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X0),X1)),inverse(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(inverse(X2)),X1)))))) = X2,
    inference(superposition,[],[f207,f299]) ).

fof(f564,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(X0),inverse(double_divide(inverse(inverse(X2)),X1)))) = X2,
    inference(backward_demodulation,[],[f542,f538]) ).

fof(f572,plain,
    ! [X2,X0] : double_divide(inverse(X0),double_divide(inverse(X0),X2)) = X2,
    inference(backward_demodulation,[],[f253,f538]) ).

fof(f643,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,X3))) = double_divide(inverse(double_divide(inverse(X0),X1)),inverse(double_divide(X2,X3))),
    inference(superposition,[],[f395,f353]) ).

fof(f660,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(X0,X2)),inverse(double_divide(inverse(X1),X5))) = double_divide(inverse(X1),double_divide(inverse(double_divide(X4,double_divide(X0,X2))),double_divide(X4,X5))),
    inference(backward_demodulation,[],[f344,f643]) ).

fof(f696,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
    inference(superposition,[],[f572,f395]) ).

fof(f714,plain,
    ! [X3] : inverse(inverse(X3)) = X3,
    inference(backward_demodulation,[],[f104,f696]) ).

fof(f745,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(X0),inverse(double_divide(X2,X1)))) = X2,
    inference(backward_demodulation,[],[f564,f714]) ).

fof(f835,plain,
    ! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X1,X2))) = double_divide(inverse(double_divide(X1,X0)),X2),
    inference(superposition,[],[f223,f714]) ).

fof(f836,plain,
    ! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(inverse(X1),X1))),
    inference(superposition,[],[f250,f714]) ).

fof(f844,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[],[f572,f714]) ).

fof(f871,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(inverse(X1),double_divide(inverse(double_divide(X4,double_divide(X0,X2))),double_divide(X4,X5))) = double_divide(X2,inverse(double_divide(X0,inverse(double_divide(inverse(X1),X5))))),
    inference(backward_demodulation,[],[f660,f835]) ).

fof(f887,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X0),double_divide(inverse(X0),inverse(double_divide(X2,X1)))))) = X2,
    inference(backward_demodulation,[],[f745,f835]) ).

fof(f906,plain,
    ! [X2,X1] : double_divide(X1,inverse(inverse(double_divide(X2,X1)))) = X2,
    inference(forward_demodulation,[],[f887,f844]) ).

fof(f911,plain,
    ! [X2,X0,X1,X4,X5] : double_divide(X2,inverse(double_divide(X0,inverse(double_divide(inverse(X1),X5))))) = double_divide(inverse(X1),double_divide(double_divide(X0,X2),inverse(double_divide(X4,double_divide(X4,X5))))),
    inference(forward_demodulation,[],[f871,f835]) ).

fof(f926,plain,
    ! [X2,X1] : double_divide(X1,double_divide(X2,X1)) = X2,
    inference(forward_demodulation,[],[f906,f714]) ).

fof(f929,plain,
    ! [X2,X0,X1,X5] : double_divide(X2,inverse(double_divide(X0,inverse(double_divide(inverse(X1),X5))))) = double_divide(inverse(X1),double_divide(double_divide(X0,X2),inverse(X5))),
    inference(forward_demodulation,[],[f911,f844]) ).

fof(f942,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(X3),double_divide(double_divide(X2,X1),inverse(X3))) = double_divide(X1,inverse(double_divide(X2,inverse(double_divide(inverse(X0),X0))))),
    inference(superposition,[],[f929,f440]) ).

fof(f980,plain,
    ! [X2,X3,X1] : double_divide(inverse(X3),double_divide(double_divide(X2,X1),inverse(X3))) = double_divide(X1,inverse(inverse(X2))),
    inference(forward_demodulation,[],[f942,f836]) ).

fof(f995,plain,
    ! [X2,X3,X1] : double_divide(X1,X2) = double_divide(inverse(X3),double_divide(double_divide(X2,X1),inverse(X3))),
    inference(forward_demodulation,[],[f980,f714]) ).

fof(f1001,plain,
    ! [X2,X1] : double_divide(X1,X2) = double_divide(X2,X1),
    inference(forward_demodulation,[],[f995,f926]) ).

fof(f1516,plain,
    ~ sP0(inverse(double_divide(a,b))),
    inference(superposition,[],[f5,f1001]) ).

fof(f1517,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1516,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP608-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 10:09:45 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 1.87/1.14  % (1799124)Detected a unit-equality problem, will run specialized UEQ schedule.
% 1.87/1.14  % (1799132)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2498703916:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 1.87/1.14  % (1799134)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3697145598:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 1.87/1.14  % (1799132)First to succeed.
% 1.87/1.14  % (1799132)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1799124"
% 1.87/1.14  % (1799135)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2895923483:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 1.87/1.14  % (1799131)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2282332183:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 1.87/1.14  % (1799133)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1449083341:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 1.87/1.14  % (1799130)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=1324283546:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 1.87/1.14  % (1799129)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=3001772343:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 1.87/1.14  % (1799135)Also succeeded, but the first one will report.
% 1.87/1.14  % (1799134)Also succeeded, but the first one will report.
% 1.87/1.14  % (1799133)Instruction limit reached! 
% 1.87/1.14  % (1799133)------------------------------
% 1.87/1.14  % (1799133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.14  % (1799133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.14  % (1799133)CaDiCaL version: 2.1.3
% 1.87/1.14  % (1799133)Termination reason: Instruction limit
% 1.87/1.14  % (1799133)Termination phase: Saturation
% 1.87/1.14  % (1799133)Time elapsed: 0.101 s
% 1.87/1.14  % (1799133)Peak memory usage: 90 MB
% 1.87/1.14  % (1799133)Instructions burned: 182 (million)
% 1.87/1.14  % (1799132)Refutation found. Thanks to Tanya!
% 1.87/1.14  % SZS status Unsatisfiable for theBenchmark
% 1.87/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.34  % (1799132)------------------------------
% 2.77/1.34  % (1799132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.34  % (1799132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.34  % (1799132)CaDiCaL version: 2.1.3
% 2.77/1.34  % (1799132)Termination reason: Refutation
% 2.77/1.34  % (1799132)Time elapsed: 0.044 s
% 2.77/1.34  % (1799132)Peak memory usage: 89 MB
% 2.77/1.34  % (1799132)Instructions burned: 133 (million)
% 2.77/1.34  % (1799132)------------------------------
% 2.77/1.34  % (1799132)------------------------------
% 2.77/1.34  % (1799124)Success in time 0.307 s
% 2.77/1.34  % Vampire exiting
%------------------------------------------------------------------------------