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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP610-1 : 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 : n006.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 2.31s 1.16s
% Output   : Refutation 2.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  104 ( 104 unt;  10 def)
%            Number of atoms       :  104 ( 103 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   92 (  92   !;   0   ?)

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

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

fof(f3,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

fof(f4,plain,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    inference(reorient_equations,[],[f3]) ).

fof(f5,plain,
    a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
    inference(definition_unfolding,[],[f4,f2,f2]) ).

fof(f6,definition,
    ! [X0,X1] : sF0(X0,X1) = inverse(double_divide(X0,X1)),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(double_divide(X0,X1)) = sF0(X0,X1),
    inference(reorient_equations,[],[f6]) ).

fof(f8,definition,
    ! [X2,X0,X1] : sF1(X0,X1,X2) = double_divide(sF0(X0,X1),X2),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f9,plain,
    ! [X2,X0,X1] : double_divide(sF0(X0,X1),X2) = sF1(X0,X1,X2),
    inference(reorient_equations,[],[f8]) ).

fof(f10,definition,
    ! [X2,X0,X1] : sF2(X0,X1,X2) = inverse(sF1(X0,X1,X2)),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f11,plain,
    ! [X2,X0,X1] : inverse(sF1(X0,X1,X2)) = sF2(X0,X1,X2),
    inference(reorient_equations,[],[f10]) ).

fof(f12,definition,
    ! [X2,X0,X1] : sF3(X0,X1,X2) = double_divide(sF2(X0,X1,X2),double_divide(X0,X2)),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f13,plain,
    ! [X2,X0,X1] : double_divide(sF2(X0,X1,X2),double_divide(X0,X2)) = sF3(X0,X1,X2),
    inference(reorient_equations,[],[f12]) ).

fof(f14,definition,
    ! [X2,X0,X1] : sF4(X0,X1,X2) = inverse(sF3(X0,X1,X2)),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f15,plain,
    ! [X2,X0,X1] : inverse(sF3(X0,X1,X2)) = sF4(X0,X1,X2),
    inference(reorient_equations,[],[f14]) ).

fof(f16,plain,
    ! [X2,X0,X1] : sF4(X0,X1,X2) = X1,
    inference(definition_folding,[],[f1,f15,f13,f11,f9,f7]) ).

fof(f17,definition,
    sF5 = inverse(b2),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f18,plain,
    inverse(b2) = sF5,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF6 = double_divide(b2,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f20,plain,
    double_divide(b2,sF5) = sF6,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF7 = inverse(sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f22,plain,
    inverse(sF6) = sF7,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF8 = double_divide(a2,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f24,plain,
    double_divide(a2,sF7) = sF8,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF9 = inverse(sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f26,plain,
    inverse(sF8) = sF9,
    inference(reorient_equations,[],[f25]) ).

fof(f27,plain,
    a2 != sF9,
    inference(definition_folding,[],[f5,f26,f24,f22,f20,f18]) ).

fof(f28,plain,
    ! [X2,X0,X1] : inverse(sF3(X0,X1,X2)) = X1,
    inference(forward_demodulation,[],[f16,f15]) ).

fof(f29,plain,
    ! [X2,X0,X1] : inverse(double_divide(sF2(X0,X1,X2),double_divide(X0,X2))) = X1,
    inference(forward_demodulation,[],[f28,f13]) ).

fof(f30,plain,
    ! [X2,X0,X1] : inverse(double_divide(inverse(sF1(X0,X1,X2)),double_divide(X0,X2))) = X1,
    inference(forward_demodulation,[],[f29,f11]) ).

fof(f31,plain,
    ! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(sF0(X0,X1),X2)),double_divide(X0,X2))) = X1,
    inference(forward_demodulation,[],[f30,f9]) ).

fof(f32,plain,
    ! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
    inference(forward_demodulation,[],[f31,f7]) ).

fof(f33,plain,
    ! [X0] : sF7 = inverse(double_divide(inverse(double_divide(inverse(sF8),X0)),double_divide(a2,X0))),
    inference(superposition,[],[f32,f24]) ).

fof(f34,plain,
    ! [X0] : sF5 = inverse(double_divide(inverse(double_divide(inverse(sF6),X0)),double_divide(b2,X0))),
    inference(superposition,[],[f32,f20]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] : double_divide(X1,X2) = inverse(double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(double_divide(inverse(double_divide(X1,X0)),X2)),X3))),
    inference(superposition,[],[f32,f32]) ).

fof(f36,plain,
    ! [X2,X0,X1] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)))) = X2,
    inference(superposition,[],[f32,f32]) ).

fof(f37,plain,
    ! [X0] : inverse(double_divide(inverse(double_divide(inverse(double_divide(a2,X0)),sF7)),sF8)) = X0,
    inference(superposition,[],[f32,f24]) ).

fof(f39,plain,
    ! [X0] : sF5 = inverse(double_divide(inverse(double_divide(sF7,X0)),double_divide(b2,X0))),
    inference(forward_demodulation,[],[f34,f22]) ).

fof(f40,plain,
    ! [X0] : sF7 = inverse(double_divide(inverse(double_divide(sF9,X0)),double_divide(a2,X0))),
    inference(forward_demodulation,[],[f33,f26]) ).

fof(f41,plain,
    sF5 = inverse(double_divide(inverse(double_divide(sF7,sF5)),sF6)),
    inference(superposition,[],[f39,f20]) ).

fof(f42,plain,
    ! [X0] : inverse(double_divide(sF5,double_divide(sF7,double_divide(b2,X0)))) = X0,
    inference(superposition,[],[f32,f39]) ).

fof(f44,plain,
    sF5 = inverse(double_divide(sF5,double_divide(sF7,sF6))),
    inference(superposition,[],[f32,f41]) ).

fof(f49,plain,
    sF7 = inverse(double_divide(inverse(double_divide(sF9,sF7)),sF8)),
    inference(superposition,[],[f40,f24]) ).

fof(f50,plain,
    ! [X0] : inverse(double_divide(sF7,double_divide(sF9,double_divide(a2,X0)))) = X0,
    inference(superposition,[],[f32,f40]) ).

fof(f52,plain,
    sF7 = inverse(double_divide(sF7,double_divide(sF9,sF8))),
    inference(superposition,[],[f32,f49]) ).

fof(f54,plain,
    sF5 = inverse(double_divide(sF7,double_divide(b2,double_divide(sF9,sF8)))),
    inference(superposition,[],[f39,f52]) ).

fof(f57,plain,
    ! [X0] : sF5 = inverse(double_divide(X0,double_divide(b2,double_divide(sF9,double_divide(a2,X0))))),
    inference(superposition,[],[f39,f50]) ).

fof(f62,plain,
    ! [X0] : sF7 = inverse(double_divide(X0,double_divide(inverse(double_divide(a2,X0)),sF8))),
    inference(superposition,[],[f32,f37]) ).

fof(f228,plain,
    ! [X0,X1] : double_divide(sF7,double_divide(b2,X0)) = inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(sF5,X1))),
    inference(superposition,[],[f35,f39]) ).

fof(f230,plain,
    ! [X0] : double_divide(sF7,sF6) = inverse(double_divide(inverse(double_divide(sF5,X0)),double_divide(sF5,X0))),
    inference(superposition,[],[f35,f41]) ).

fof(f238,plain,
    ! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,double_divide(inverse(double_divide(X1,X2)),X0)))) = X0,
    inference(superposition,[],[f35,f36]) ).

fof(f269,plain,
    ! [X0] : double_divide(sF5,inverse(double_divide(double_divide(sF7,sF6),double_divide(sF5,X0)))) = X0,
    inference(superposition,[],[f238,f44]) ).

fof(f372,plain,
    ! [X0] : double_divide(sF7,sF6) = inverse(double_divide(inverse(X0),X0)),
    inference(superposition,[],[f230,f238]) ).

fof(f409,plain,
    double_divide(sF7,sF6) = inverse(double_divide(sF5,double_divide(sF7,double_divide(b2,double_divide(sF9,sF8))))),
    inference(superposition,[],[f372,f54]) ).

fof(f412,plain,
    double_divide(sF7,sF6) = inverse(double_divide(sF5,b2)),
    inference(superposition,[],[f372,f18]) ).

fof(f413,plain,
    double_divide(sF7,sF6) = inverse(double_divide(sF7,sF6)),
    inference(superposition,[],[f372,f22]) ).

fof(f416,plain,
    ! [X0,X1] : inverse(double_divide(double_divide(sF7,sF6),double_divide(X0,double_divide(X0,X1)))) = X1,
    inference(superposition,[],[f32,f372]) ).

fof(f422,plain,
    double_divide(sF7,sF6) = double_divide(sF9,sF8),
    inference(forward_demodulation,[],[f409,f42]) ).

fof(f442,plain,
    double_divide(sF7,sF6) = inverse(double_divide(double_divide(sF7,sF6),double_divide(sF5,b2))),
    inference(superposition,[],[f372,f412]) ).

fof(f449,plain,
    double_divide(sF7,sF6) = inverse(double_divide(double_divide(sF7,sF6),double_divide(sF7,sF6))),
    inference(superposition,[],[f372,f413]) ).

fof(f525,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(inverse(double_divide(X1,double_divide(sF7,sF6))),X0),
    inference(superposition,[],[f238,f416]) ).

fof(f625,plain,
    b2 = double_divide(sF5,double_divide(sF7,sF6)),
    inference(superposition,[],[f269,f442]) ).

fof(f630,plain,
    ! [X0] : double_divide(sF5,b2) = inverse(double_divide(inverse(double_divide(double_divide(sF7,sF6),X0)),double_divide(double_divide(sF7,sF6),X0))),
    inference(superposition,[],[f32,f442]) ).

fof(f632,plain,
    double_divide(sF7,sF6) = double_divide(sF5,b2),
    inference(forward_demodulation,[],[f630,f372]) ).

fof(f668,plain,
    b2 = double_divide(sF5,double_divide(sF5,b2)),
    inference(superposition,[],[f625,f632]) ).

fof(f704,plain,
    b2 = inverse(double_divide(double_divide(sF7,sF6),b2)),
    inference(superposition,[],[f416,f668]) ).

fof(f719,plain,
    b2 = inverse(double_divide(double_divide(sF5,b2),b2)),
    inference(forward_demodulation,[],[f704,f632]) ).

fof(f908,plain,
    double_divide(sF5,b2) = inverse(double_divide(double_divide(sF5,b2),double_divide(sF5,b2))),
    inference(forward_demodulation,[],[f449,f632]) ).

fof(f910,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(inverse(double_divide(X1,double_divide(sF5,b2))),X0),
    inference(forward_demodulation,[],[f525,f632]) ).

fof(f1064,plain,
    ! [X0,X1] : double_divide(X0,inverse(double_divide(double_divide(sF5,b2),double_divide(X0,X1)))) = X1,
    inference(superposition,[],[f238,f910]) ).

fof(f1154,plain,
    sF8 = double_divide(sF9,inverse(double_divide(double_divide(sF5,b2),double_divide(sF7,sF6)))),
    inference(superposition,[],[f1064,f422]) ).

fof(f1162,plain,
    double_divide(b2,sF5) = double_divide(sF9,double_divide(a2,double_divide(sF5,b2))),
    inference(superposition,[],[f1064,f57]) ).

fof(f1218,plain,
    sF6 = double_divide(sF9,double_divide(a2,double_divide(sF5,b2))),
    inference(forward_demodulation,[],[f1162,f20]) ).

fof(f1222,plain,
    sF8 = double_divide(sF9,inverse(double_divide(double_divide(sF5,b2),double_divide(sF5,b2)))),
    inference(forward_demodulation,[],[f1154,f632]) ).

fof(f1233,plain,
    sF8 = double_divide(sF9,double_divide(sF5,b2)),
    inference(forward_demodulation,[],[f1222,f908]) ).

fof(f1241,plain,
    ! [X0] : inverse(double_divide(inverse(double_divide(inverse(double_divide(sF9,X0)),double_divide(sF5,b2))),sF8)) = X0,
    inference(superposition,[],[f32,f1233]) ).

fof(f1256,plain,
    ! [X0] : inverse(double_divide(inverse(double_divide(sF9,X0)),sF8)) = X0,
    inference(forward_demodulation,[],[f1241,f910]) ).

fof(f1334,plain,
    double_divide(sF7,double_divide(b2,double_divide(sF5,b2))) = inverse(double_divide(double_divide(sF5,b2),double_divide(sF5,double_divide(sF5,b2)))),
    inference(superposition,[],[f228,f908]) ).

fof(f1423,plain,
    double_divide(sF7,double_divide(b2,double_divide(sF5,b2))) = inverse(double_divide(double_divide(sF5,b2),b2)),
    inference(forward_demodulation,[],[f1334,f668]) ).

fof(f1455,plain,
    b2 = double_divide(sF7,double_divide(b2,double_divide(sF5,b2))),
    inference(forward_demodulation,[],[f1423,f719]) ).

fof(f1489,plain,
    double_divide(b2,double_divide(sF5,b2)) = double_divide(sF7,inverse(double_divide(double_divide(sF5,b2),b2))),
    inference(superposition,[],[f1064,f1455]) ).

fof(f1490,plain,
    double_divide(b2,double_divide(sF5,b2)) = double_divide(sF7,b2),
    inference(forward_demodulation,[],[f1489,f719]) ).

fof(f1572,plain,
    ! [X0] : inverse(double_divide(X0,double_divide(sF9,sF8))) = X0,
    inference(superposition,[],[f32,f1256]) ).

fof(f1581,plain,
    ! [X0] : inverse(double_divide(X0,double_divide(sF7,sF6))) = X0,
    inference(forward_demodulation,[],[f1572,f422]) ).

fof(f1587,plain,
    ! [X0] : inverse(double_divide(X0,double_divide(sF5,b2))) = X0,
    inference(forward_demodulation,[],[f1581,f632]) ).

fof(f1594,plain,
    ! [X0] : inverse(double_divide(inverse(double_divide(sF5,X0)),b2)) = X0,
    inference(superposition,[],[f1587,f32]) ).

fof(f1643,plain,
    double_divide(inverse(double_divide(a2,sF5)),sF8) = inverse(double_divide(sF7,b2)),
    inference(superposition,[],[f1594,f62]) ).

fof(f1669,plain,
    double_divide(inverse(double_divide(a2,sF5)),sF8) = inverse(double_divide(b2,double_divide(sF5,b2))),
    inference(forward_demodulation,[],[f1643,f1490]) ).

fof(f1683,plain,
    b2 = double_divide(inverse(double_divide(a2,sF5)),sF8),
    inference(forward_demodulation,[],[f1669,f1587]) ).

fof(f1688,plain,
    sF7 = inverse(double_divide(sF5,b2)),
    inference(superposition,[],[f62,f1683]) ).

fof(f1715,plain,
    sF7 = double_divide(sF7,sF6),
    inference(forward_demodulation,[],[f1688,f412]) ).

fof(f1718,plain,
    sF7 = double_divide(sF5,b2),
    inference(forward_demodulation,[],[f1715,f632]) ).

fof(f1736,plain,
    sF6 = double_divide(sF9,double_divide(a2,sF7)),
    inference(superposition,[],[f1218,f1718]) ).

fof(f1740,plain,
    ! [X0] : inverse(double_divide(X0,sF7)) = X0,
    inference(superposition,[],[f1587,f1718]) ).

fof(f1764,plain,
    sF6 = double_divide(sF9,sF8),
    inference(forward_demodulation,[],[f1736,f24]) ).

fof(f1771,plain,
    sF6 = double_divide(sF7,sF6),
    inference(forward_demodulation,[],[f1764,f422]) ).

fof(f1774,plain,
    sF6 = double_divide(sF5,b2),
    inference(forward_demodulation,[],[f1771,f632]) ).

fof(f1776,plain,
    sF6 = sF7,
    inference(forward_demodulation,[],[f1774,f1718]) ).

fof(f1778,plain,
    sF8 = double_divide(a2,sF6),
    inference(superposition,[],[f24,f1776]) ).

fof(f2182,plain,
    ! [X0] : inverse(double_divide(X0,sF6)) = X0,
    inference(forward_demodulation,[],[f1740,f1776]) ).

fof(f2657,plain,
    a2 = inverse(sF8),
    inference(superposition,[],[f2182,f1778]) ).

fof(f2718,plain,
    a2 = sF9,
    inference(forward_demodulation,[],[f2657,f26]) ).

fof(f2747,plain,
    a2 != a2,
    inference(superposition,[],[f27,f2718]) ).

fof(f2771,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2747]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP610-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n006.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 10:09:26 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 2.31/1.16  % (2763388)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.31/1.16  % (2763397)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3376824247:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.31/1.16  % (2763397)First to succeed.
% 2.31/1.16  % (2763397)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2763388"
% 2.31/1.16  % (2763393)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=2210267277:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.31/1.16  % (2763395)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=954060658:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.31/1.16  % (2763396)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3684419286:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.31/1.16  % (2763394)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=1609958737:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.31/1.16  % (2763398)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3997702545:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.31/1.16  % (2763399)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4146183549:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.31/1.16  % (2763399)Also succeeded, but the first one will report.
% 2.31/1.16  % (2763398)Also succeeded, but the first one will report.
% 2.31/1.16  % (2763396)Instruction limit reached! 
% 2.31/1.16  % (2763396)------------------------------
% 2.31/1.16  % (2763396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.16  % (2763396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.16  % (2763396)CaDiCaL version: 2.1.3
% 2.31/1.16  % (2763396)Termination reason: Instruction limit
% 2.31/1.16  % (2763396)Termination phase: Saturation
% 2.31/1.16  % (2763396)Time elapsed: 0.085 s
% 2.31/1.16  % (2763396)Peak memory usage: 89 MB
% 2.31/1.16  % (2763396)Instructions burned: 136 (million)
% 2.31/1.16  % (2763397)Refutation found. Thanks to Tanya!
% 2.31/1.16  % SZS status Unsatisfiable for theBenchmark
% 2.31/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.25  % (2763397)------------------------------
% 2.63/1.25  % (2763397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.25  % (2763397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.25  % (2763397)CaDiCaL version: 2.1.3
% 2.63/1.25  % (2763397)Termination reason: Refutation
% 2.63/1.25  % (2763397)Time elapsed: 0.038 s
% 2.63/1.25  % (2763397)Peak memory usage: 89 MB
% 2.63/1.25  % (2763397)Instructions burned: 124 (million)
% 2.63/1.25  % (2763397)------------------------------
% 2.63/1.25  % (2763397)------------------------------
% 2.63/1.25  % (2763388)Success in time 0.301 s
% 2.63/1.25  % Vampire exiting
%------------------------------------------------------------------------------