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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP498-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 10:17:58 AM UTC 2026

% Result   : Unsatisfiable 5.36s 1.29s
% Output   : Refutation 5.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   91 (  91 unt;   0 def)
%            Number of atoms       :   91 (  90 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    9 (   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   :  184 ( 184   !;   0   ?)

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

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

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f5,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f7,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
    inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).

fof(f8,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
    inference(superposition,[],[f1,f6]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X2,double_divide(X0,X1)),double_divide(X3,double_divide(identity,double_divide(X1,double_divide(X2,identity))))),identity)) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f12,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f6]) ).

fof(f15,plain,
    identity = double_divide(identity,identity),
    inference(superposition,[],[f6,f1]) ).

fof(f16,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
    inference(forward_demodulation,[],[f12,f15]) ).

fof(f17,plain,
    ! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
    inference(forward_demodulation,[],[f8,f15]) ).

fof(f26,plain,
    ! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0),
    inference(superposition,[],[f6,f16]) ).

fof(f36,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
    inference(superposition,[],[f17,f16]) ).

fof(f37,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X0,X1)),
    inference(superposition,[],[f17,f17]) ).

fof(f39,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = double_divide(double_divide(identity,X0),identity),
    inference(superposition,[],[f16,f17]) ).

fof(f59,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X1,X0),identity))),identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f26]) ).

fof(f62,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X1,X0),identity))),identity))),identity) = X1,
    inference(forward_demodulation,[],[f59,f15]) ).

fof(f68,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,X0))),identity) = X1,
    inference(forward_demodulation,[],[f62,f16]) ).

fof(f123,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity)),
    inference(superposition,[],[f37,f26]) ).

fof(f126,plain,
    ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X1)),X0)) = X2,
    inference(superposition,[],[f17,f37]) ).

fof(f142,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity))),
    inference(forward_demodulation,[],[f123,f36]) ).

fof(f152,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
    inference(forward_demodulation,[],[f142,f126]) ).

fof(f180,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity),
    inference(superposition,[],[f7,f152]) ).

fof(f184,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),
    inference(forward_demodulation,[],[f180,f152]) ).

fof(f190,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(forward_demodulation,[],[f184,f152]) ).

fof(f194,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
    inference(forward_demodulation,[],[f190,f152]) ).

fof(f209,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X1,identity))),double_divide(double_divide(double_divide(identity,X0),identity),identity)) = X0,
    inference(superposition,[],[f1,f39]) ).

fof(f214,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(identity,X1)),
    inference(superposition,[],[f152,f39]) ).

fof(f225,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X1,identity))),double_divide(identity,double_divide(double_divide(identity,X0),identity))) = X0,
    inference(forward_demodulation,[],[f209,f152]) ).

fof(f240,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X1,identity))),double_divide(identity,double_divide(identity,double_divide(identity,X0)))) = X0,
    inference(forward_demodulation,[],[f225,f214]) ).

fof(f246,plain,
    ! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(identity,X0)))) = X0,
    inference(forward_demodulation,[],[f240,f6]) ).

fof(f248,plain,
    ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))) = X0,
    inference(forward_demodulation,[],[f246,f15]) ).

fof(f323,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,identity))),X0) = X1,
    inference(superposition,[],[f1,f68]) ).

fof(f333,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),identity)),X0) = X1,
    inference(forward_demodulation,[],[f323,f15]) ).

fof(f350,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0) = X1,
    inference(forward_demodulation,[],[f333,f214]) ).

fof(f545,plain,
    ! [X0,X1] : double_divide(X1,double_divide(double_divide(identity,double_divide(identity,X0)),X1)) = X0,
    inference(superposition,[],[f126,f152]) ).

fof(f565,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,identity),X0))) = X1,
    inference(superposition,[],[f126,f39]) ).

fof(f1047,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),X0))) = X1,
    inference(superposition,[],[f248,f214]) ).

fof(f1275,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X0)),X1) = X2,
    inference(superposition,[],[f350,f214]) ).

fof(f1431,plain,
    ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(X1,double_divide(X0,identity)),identity),X0),
    inference(superposition,[],[f545,f1]) ).

fof(f1500,plain,
    ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,double_divide(X0,identity))),X0),
    inference(forward_demodulation,[],[f1431,f152]) ).

fof(f1545,plain,
    ! [X0,X1] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
    inference(superposition,[],[f350,f565]) ).

fof(f1774,plain,
    ! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,X0),double_divide(X1,identity)),identity)) = X1,
    inference(superposition,[],[f1,f1047]) ).

fof(f1820,plain,
    ! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,identity)))) = X1,
    inference(forward_demodulation,[],[f1774,f152]) ).

fof(f2185,plain,
    ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,X0))),X0),
    inference(superposition,[],[f1500,f152]) ).

fof(f2229,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
    inference(superposition,[],[f1047,f1500]) ).

fof(f2240,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,identity))) = double_divide(identity,double_divide(X1,double_divide(double_divide(X0,identity),X1))),
    inference(superposition,[],[f565,f1500]) ).

fof(f2268,plain,
    ! [X0] : double_divide(identity,double_divide(X0,double_divide(identity,identity))) = X0,
    inference(forward_demodulation,[],[f2240,f565]) ).

fof(f2316,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
    inference(forward_demodulation,[],[f2268,f2229]) ).

fof(f2405,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(superposition,[],[f1275,f2316]) ).

fof(f2407,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(superposition,[],[f126,f2316]) ).

fof(f2408,plain,
    ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(superposition,[],[f545,f2316]) ).

fof(f2576,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X0,identity)) = X1,
    inference(superposition,[],[f2405,f1545]) ).

fof(f2583,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X0,X1)),identity) = double_divide(X0,double_divide(identity,double_divide(X1,double_divide(X2,identity)))),
    inference(superposition,[],[f2405,f1]) ).

fof(f2671,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X0,X1)),identity) = double_divide(X0,double_divide(X2,double_divide(X1,identity))),
    inference(forward_demodulation,[],[f2583,f2229]) ).

fof(f2681,plain,
    ! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X1))) = double_divide(X0,double_divide(X2,double_divide(X1,identity))),
    inference(forward_demodulation,[],[f2671,f152]) ).

fof(f2774,plain,
    ! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,double_divide(identity,X1))) = X0,
    inference(superposition,[],[f1545,f2407]) ).

fof(f3407,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
    inference(superposition,[],[f2576,f2407]) ).

fof(f3441,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(double_divide(double_divide(identity,X1),X0),identity),
    inference(superposition,[],[f1500,f2576]) ).

fof(f3476,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
    inference(forward_demodulation,[],[f3441,f152]) ).

fof(f3846,plain,
    ! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,identity)) = double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),identity))),
    inference(superposition,[],[f2774,f1500]) ).

fof(f3927,plain,
    ! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,identity)) = double_divide(identity,double_divide(X0,double_divide(identity,double_divide(identity,X1)))),
    inference(forward_demodulation,[],[f3846,f2681]) ).

fof(f3991,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X1,identity),double_divide(X0,identity)),
    inference(forward_demodulation,[],[f3927,f2408]) ).

fof(f4240,plain,
    ! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(identity,X1)),
    inference(superposition,[],[f1545,f3407]) ).

fof(f4247,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(identity,X1)),
    inference(forward_demodulation,[],[f4240,f3991]) ).

fof(f4719,plain,
    ! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(identity,X0)),
    inference(superposition,[],[f1820,f1]) ).

fof(f5086,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(X0,double_divide(identity,X1))),
    inference(superposition,[],[f2407,f2185]) ).

fof(f5637,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X1,identity)))))),double_divide(double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X2),identity))))),identity)) = X4,
    inference(superposition,[],[f9,f9]) ).

fof(f5754,plain,
    ! [X2,X3,X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))),
    inference(superposition,[],[f1820,f9]) ).

fof(f5784,plain,
    ! [X2,X3,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))),identity),
    inference(superposition,[],[f2405,f9]) ).

fof(f5787,plain,
    ! [X2,X3,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity)))))),
    inference(forward_demodulation,[],[f5784,f152]) ).

fof(f5817,plain,
    ! [X2,X3,X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(X2,double_divide(X3,identity)))),
    inference(forward_demodulation,[],[f5754,f2229]) ).

fof(f5932,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(double_divide(identity,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X1,identity)))))),double_divide(identity,double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X2),identity))))))) = X4,
    inference(forward_demodulation,[],[f5637,f3407]) ).

fof(f6018,plain,
    ! [X2,X3,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(X2,double_divide(X3,identity))))),
    inference(forward_demodulation,[],[f5787,f2229]) ).

fof(f6160,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(identity,double_divide(double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X2),identity))))),double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X1,identity))))))) = X4,
    inference(forward_demodulation,[],[f5932,f4247]) ).

fof(f6245,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,X0))) = double_divide(X0,double_divide(identity,X1)),
    inference(forward_demodulation,[],[f6018,f5817]) ).

fof(f6377,plain,
    ! [X2,X3,X0,X1,X4] : double_divide(identity,double_divide(double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X2),identity))))),double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(X0,double_divide(X1,double_divide(X3,identity)))))) = X4,
    inference(forward_demodulation,[],[f6160,f2229]) ).

fof(f6570,plain,
    ! [X2,X0,X4] : double_divide(identity,double_divide(double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X2),identity))))),double_divide(X2,double_divide(identity,X0)))) = X4,
    inference(forward_demodulation,[],[f6377,f5817]) ).

fof(f6734,plain,
    ! [X2,X0,X4] : double_divide(identity,double_divide(double_divide(X0,double_divide(X4,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X2)))))),double_divide(X2,double_divide(identity,X0)))) = X4,
    inference(forward_demodulation,[],[f6570,f2681]) ).

fof(f6869,plain,
    ! [X2,X0,X4] : double_divide(identity,double_divide(double_divide(X0,double_divide(X4,X2)),double_divide(X2,double_divide(identity,X0)))) = X4,
    inference(forward_demodulation,[],[f6734,f248]) ).

fof(f9837,plain,
    ! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,double_divide(X1,identity)))) = double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,X2)),
    inference(superposition,[],[f6245,f2229]) ).

fof(f10061,plain,
    ! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(identity,double_divide(X2,double_divide(X0,double_divide(X1,identity)))),
    inference(forward_demodulation,[],[f9837,f4719]) ).

fof(f11426,plain,
    double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
    inference(superposition,[],[f194,f3476]) ).

fof(f11586,plain,
    double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(a3,identity),double_divide(c3,b3)),
    inference(forward_demodulation,[],[f11426,f1545]) ).

fof(f11683,plain,
    double_divide(double_divide(a3,identity),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
    inference(forward_demodulation,[],[f11586,f5086]) ).

fof(f17752,plain,
    ! [X2,X0,X1] : double_divide(X1,double_divide(X0,X2)) = double_divide(identity,double_divide(X0,double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(identity,identity)))),
    inference(superposition,[],[f6869,f6869]) ).

fof(f18061,plain,
    ! [X2,X0,X1] : double_divide(X1,double_divide(X0,X2)) = double_divide(double_divide(X2,double_divide(identity,X1)),double_divide(X0,identity)),
    inference(forward_demodulation,[],[f17752,f10061]) ).

fof(f18568,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,X2)) = double_divide(double_divide(X2,X0),double_divide(X1,identity)),
    inference(superposition,[],[f18061,f2407]) ).

fof(f18888,plain,
    $false,
    inference(backward_subsumption_resolution,[],[f11683,f18568]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP498-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 10:06:01 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/1.29  % (2172166)Will run a generic schedule for satisfiability detection.
% 5.36/1.29  % (2172177)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2555906147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 5.36/1.29  % (2172172)% WARNING: option uhcvi not known.
% 5.36/1.29  % (2172173)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1033701069:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 5.36/1.29  % (2172171)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3687732026_3000 on theBenchmark for (3000ds/0Mi)
% 5.36/1.29  % (2172174)dis+10_1_sil=32000:sp=arity:random_seed=2360405684:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 5.36/1.29  % (2172172)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=425208664:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 5.36/1.29  % TRYING [1]
% 5.36/1.29  % TRYING [2]
% 5.36/1.29  % (2172175)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=522303320:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 5.36/1.29  % (2172176)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3806124706:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 5.36/1.29  % TRYING [3]
% 5.36/1.29  % TRYING [4]
% 5.36/1.29  % TRYING [5]
% 5.36/1.29  % (2172177)Instruction limit reached! 
% 5.36/1.29  % (2172177)------------------------------
% 5.36/1.29  % (2172177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172177)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172177)Termination reason: Instruction limit
% 5.36/1.29  % (2172177)Termination phase: Saturation
% 5.36/1.29  % (2172177)Time elapsed: 0.080 s
% 5.36/1.29  % (2172177)Peak memory usage: 12 MB
% 5.36/1.29  % (2172177)Instructions burned: 159 (million)
% 5.36/1.29  % TRYING [6]
% 5.36/1.29  % (2172185)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2574125101:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.36/1.29  % TRYING [1]
% 5.36/1.29  % TRYING [2]
% 5.36/1.29  % TRYING [3]
% 5.36/1.29  % TRYING [4]
% 5.36/1.29  % (2172174)Instruction limit reached! 
% 5.36/1.29  % (2172174)------------------------------
% 5.36/1.29  % (2172174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172174)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172174)Termination reason: Instruction limit
% 5.36/1.29  % (2172174)Termination phase: Saturation
% 5.36/1.29  % (2172174)Time elapsed: 0.090 s
% 5.36/1.29  % (2172174)Peak memory usage: 12 MB
% 5.36/1.29  % (2172174)Instructions burned: 104 (million)
% 5.36/1.29  % TRYING [5]
% 5.36/1.29  % (2172175)Instruction limit reached! 
% 5.36/1.29  % (2172175)------------------------------
% 5.36/1.29  % (2172175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172175)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172175)Termination reason: Instruction limit
% 5.36/1.29  % (2172175)Termination phase: Saturation
% 5.36/1.29  % (2172175)Time elapsed: 0.101 s
% 5.36/1.29  % (2172175)Peak memory usage: 12 MB
% 5.36/1.29  % (2172175)Instructions burned: 116 (million)
% 5.36/1.29  % (2172187)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2229699053:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.36/1.29  % (2172176)Instruction limit reached! 
% 5.36/1.29  % (2172176)------------------------------
% 5.36/1.29  % (2172176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172176)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172176)Termination reason: Instruction limit
% 5.36/1.29  % (2172176)Termination phase: Saturation
% 5.36/1.29  % (2172176)Time elapsed: 0.115 s
% 5.36/1.29  % (2172176)Peak memory usage: 12 MB
% 5.36/1.29  % (2172176)Instructions burned: 132 (million)
% 5.36/1.29  % (2172188)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2251067254:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.36/1.29  % (2172190)ott-21_1_sil=16000:fs=off:random_seed=123151657:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.36/1.29  % TRYING [6]
% 5.36/1.29  % (2172187)Instruction limit reached! 
% 5.36/1.29  % (2172187)------------------------------
% 5.36/1.29  % (2172187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172187)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172187)Termination reason: Instruction limit
% 5.36/1.29  % (2172187)Termination phase: Saturation
% 5.36/1.29  % (2172187)Time elapsed: 0.082 s
% 5.36/1.29  % (2172187)Peak memory usage: 12 MB
% 5.36/1.29  % (2172187)Instructions burned: 132 (million)
% 5.36/1.29  % (2172193)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1584075546:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.36/1.29  % (2172190)Instruction limit reached! 
% 5.36/1.29  % (2172190)------------------------------
% 5.36/1.29  % (2172190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172190)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172190)Termination reason: Instruction limit
% 5.36/1.29  % (2172190)Termination phase: Saturation
% 5.36/1.29  % (2172190)Time elapsed: 0.087 s
% 5.36/1.29  % (2172190)Peak memory usage: 12 MB
% 5.36/1.29  % (2172190)Instructions burned: 180 (million)
% 5.36/1.29  % TRYING [7]
% 5.36/1.29  % (2172195)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=216927403:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.36/1.29  % TRYING [1]
% 5.36/1.29  % TRYING [2]
% 5.36/1.29  % TRYING [3]
% 5.36/1.29  % TRYING [4]
% 5.36/1.29  % TRYING [5]
% 5.36/1.29  % TRYING [6]
% 5.36/1.29  % TRYING [7]
% 5.36/1.29  % (2172185)Instruction limit reached! 
% 5.36/1.29  % (2172185)------------------------------
% 5.36/1.29  % (2172185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172185)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172185)Termination reason: Instruction limit
% 5.36/1.29  % (2172185)Termination phase: Finite model building constraint generation
% 5.36/1.29  % (2172185)Time elapsed: 0.237 s
% 5.36/1.29  % (2172185)Peak memory usage: 18 MB
% 5.36/1.29  % (2172185)Instructions burned: 720 (million)
% 5.36/1.29  % (2172197)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=418329056:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.36/1.29  % TRYING [7]
% 5.36/1.29  % (2172193)Instruction limit reached! 
% 5.36/1.29  % (2172193)------------------------------
% 5.36/1.29  % (2172193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172193)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172193)Termination reason: Instruction limit
% 5.36/1.29  % (2172193)Termination phase: Saturation
% 5.36/1.29  % (2172193)Time elapsed: 0.259 s
% 5.36/1.29  % (2172193)Peak memory usage: 15 MB
% 5.36/1.29  % (2172193)Instructions burned: 478 (million)
% 5.36/1.29  % (2172188)Instruction limit reached! 
% 5.36/1.29  % (2172188)------------------------------
% 5.36/1.29  % (2172188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172188)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172188)Termination reason: Instruction limit
% 5.36/1.29  % (2172188)Termination phase: Saturation
% 5.36/1.29  % (2172188)Time elapsed: 0.363 s
% 5.36/1.29  % (2172188)Peak memory usage: 17 MB
% 5.36/1.29  % (2172188)Instructions burned: 684 (million)
% 5.36/1.29  % (2172200)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3297029050:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.36/1.29  % (2172201)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3197364998:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.36/1.29  % TRYING [14]
% 5.36/1.29  % (2172195)Instruction limit reached! 
% 5.36/1.29  % (2172195)------------------------------
% 5.36/1.29  % (2172195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172195)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172195)Termination reason: Instruction limit
% 5.36/1.29  % (2172195)Termination phase: Finite model building SAT solving
% 5.36/1.29  % (2172195)Time elapsed: 0.382 s
% 5.36/1.29  % (2172195)Peak memory usage: 17 MB
% 5.36/1.29  % (2172195)Instructions burned: 866 (million)
% 5.36/1.29  % (2172238)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=834119393:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.36/1.29  % (2172197)Instruction limit reached! 
% 5.36/1.29  % (2172197)------------------------------
% 5.36/1.29  % (2172197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172197)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172197)Termination reason: Instruction limit
% 5.36/1.29  % (2172197)Termination phase: Saturation
% 5.36/1.29  % (2172197)Time elapsed: 0.347 s
% 5.36/1.29  % (2172197)Peak memory usage: 19 MB
% 5.36/1.29  % (2172197)Instructions burned: 1182 (million)
% 5.36/1.29  % (2172259)fmb+10_1_sil=64000:random_seed=1104648744:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 5.36/1.29  % TRYING [1]
% 5.36/1.29  % TRYING [2]
% 5.36/1.29  % TRYING [3]
% 5.36/1.29  % TRYING [4]
% 5.36/1.29  % TRYING [5]
% 5.36/1.29  % TRYING [6]
% 5.36/1.29  % TRYING [7]
% 5.36/1.29  % (2172200)Instruction limit reached! 
% 5.36/1.29  % (2172200)------------------------------
% 5.36/1.29  % (2172200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172200)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172200)Termination reason: Instruction limit
% 5.36/1.29  % (2172200)Termination phase: Finite model building constraint generation
% 5.36/1.29  % (2172200)Time elapsed: 0.319 s
% 5.36/1.29  % (2172200)Peak memory usage: 79 MB
% 5.36/1.29  % (2172200)Instructions burned: 889 (million)
% 5.36/1.29  % TRYING [8]
% 5.36/1.29  % (2172201) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2172166-2172201"...
% 5.36/1.29  % (2172201)...printing done.
% 5.36/1.29  % (2172201)Refutation found. Thanks to Tanya!
% 5.36/1.29  % SZS status Unsatisfiable for theBenchmark
% 5.36/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.29  % (2172201)------------------------------
% 5.36/1.29  % (2172201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.29  % (2172201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.29  % (2172201)CaDiCaL version: 2.1.3
% 5.36/1.29  % (2172201)Termination reason: Refutation
% 5.36/1.29  % (2172201)Time elapsed: 0.312 s
% 5.36/1.29  % (2172201)Peak memory usage: 16 MB
% 5.36/1.29  % (2172201)Instructions burned: 546 (million)
% 5.36/1.29  % (2172166)Success in time 0.859 s
% 5.36/1.29  % Vampire exiting
%------------------------------------------------------------------------------