%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP571-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:07 AM UTC 2026
% Result : Unsatisfiable 13.10s 2.34s
% Output : Refutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of formulae : 100 ( 100 unt; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 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 : 207 ( 207 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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(f10,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f11,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f10,f6]) ).
fof(f13,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f12]) ).
fof(f15,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f13,f6]) ).
fof(f24,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f15,f12]) ).
fof(f25,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(superposition,[],[f13,f24]) ).
fof(f26,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f12,f24]) ).
fof(f29,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,identity)),identity)),identity) = X1,
inference(superposition,[],[f1,f24]) ).
fof(f35,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f6,f26]) ).
fof(f59,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f25,f26]) ).
fof(f64,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f12,f25]) ).
fof(f70,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f64,f12]) ).
fof(f74,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f35,f59]) ).
fof(f75,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f26,f59]) ).
fof(f87,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f70]) ).
fof(f88,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(forward_demodulation,[],[f87,f24]) ).
fof(f91,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(double_divide(X0,identity),identity)) = X1,
inference(forward_demodulation,[],[f88,f59]) ).
fof(f93,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f91,f26]) ).
fof(f100,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X0),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f74]) ).
fof(f101,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X0),identity))),identity) = X1,
inference(forward_demodulation,[],[f100,f24]) ).
fof(f104,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),X0)),identity) = X1,
inference(forward_demodulation,[],[f101,f59]) ).
fof(f108,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f75,f59]) ).
fof(f122,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,f75]) ).
fof(f128,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,[],[f122,f75]) ).
fof(f136,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,[],[f128,f75]) ).
fof(f140,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,[],[f136,f75]) ).
fof(f231,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,identity),X0))) = X1,
inference(forward_demodulation,[],[f104,f75]) ).
fof(f233,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(identity,double_divide(X1,double_divide(X0,X1))),
inference(superposition,[],[f231,f26]) ).
fof(f276,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(identity,double_divide(X1,X0)),
inference(superposition,[],[f233,f93]) ).
fof(f295,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f108,f233]) ).
fof(f305,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f295,f70]) ).
fof(f313,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f276,f75]) ).
fof(f328,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f305,f93]) ).
fof(f348,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f93,f305]) ).
fof(f687,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0)))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f313]) ).
fof(f699,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[],[f687,f328]) ).
fof(f733,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[],[f699,f24]) ).
fof(f753,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))) = X1,
inference(forward_demodulation,[],[f733,f348]) ).
fof(f980,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[],[f753,f93]) ).
fof(f1077,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f980,f328]) ).
fof(f1379,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[],[f1077,f328]) ).
fof(f2319,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X0,identity)),identity))) = X1,
inference(forward_demodulation,[],[f29,f75]) ).
fof(f2320,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,double_divide(X0,identity))))) = X1,
inference(forward_demodulation,[],[f2319,f1077]) ).
fof(f2322,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f2320,f26]) ).
fof(f2353,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[],[f2320,f93]) ).
fof(f2488,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0))))) = X1,
inference(superposition,[],[f2322,f59]) ).
fof(f2561,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f59,f2322]) ).
fof(f3387,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X1,identity),double_divide(identity,X0)),
inference(superposition,[],[f2561,f93]) ).
fof(f3535,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,X0)),
inference(forward_demodulation,[],[f3387,f75]) ).
fof(f3687,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
inference(superposition,[],[f2353,f70]) ).
fof(f3951,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,double_divide(identity,identity)))),
inference(forward_demodulation,[],[f11,f980]) ).
fof(f3952,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,identity))),
inference(forward_demodulation,[],[f3951,f2353]) ).
fof(f3953,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))),
inference(forward_demodulation,[],[f3952,f2561]) ).
fof(f3954,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,X2)))),
inference(forward_demodulation,[],[f3953,f1379]) ).
fof(f5325,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f3535,f108]) ).
fof(f8845,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(identity,double_divide(double_divide(identity,X3),double_divide(X0,double_divide(X2,X3)))),double_divide(X1,double_divide(X0,identity)))),
inference(superposition,[],[f3954,f3954]) ).
fof(f8945,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(double_divide(double_divide(identity,X3),double_divide(X0,double_divide(X1,X3))),identity))),double_divide(identity,identity)) = X2,
inference(superposition,[],[f1,f3954]) ).
fof(f9054,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(double_divide(double_divide(identity,X3),double_divide(X0,double_divide(X1,X3))),identity)))) = X2,
inference(forward_demodulation,[],[f8945,f980]) ).
fof(f9192,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(identity,double_divide(double_divide(identity,X3),double_divide(X0,double_divide(X1,X3))))))) = X2,
inference(forward_demodulation,[],[f9054,f1077]) ).
fof(f9259,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(identity,double_divide(double_divide(identity,X3),double_divide(X0,double_divide(X1,X3))))))) = X2,
inference(forward_demodulation,[],[f9192,f24]) ).
fof(f23259,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(double_divide(double_divide(X0,double_divide(X2,X3)),identity),X3),double_divide(X1,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f8845,f5325]) ).
fof(f23260,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(X3,double_divide(double_divide(X0,double_divide(X2,X3)),identity)),double_divide(X1,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f23259,f328]) ).
fof(f23261,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X2,X3)))),double_divide(X1,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f23260,f1077]) ).
fof(f23445,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(X2,identity),double_divide(X0,identity)),double_divide(X1,double_divide(double_divide(X3,double_divide(identity,double_divide(X2,double_divide(identity,X3)))),identity)))),
inference(superposition,[],[f23261,f23261]) ).
fof(f23883,plain,
! [X2,X3,X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(X2,identity),double_divide(X0,identity)),double_divide(X1,double_divide(identity,double_divide(X3,double_divide(identity,double_divide(X2,double_divide(identity,X3)))))))),
inference(forward_demodulation,[],[f23445,f1077]) ).
fof(f24218,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(X2,identity),double_divide(X0,identity)),double_divide(X1,X2))),
inference(forward_demodulation,[],[f23883,f2488]) ).
fof(f24462,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X2)),double_divide(X1,X2))),
inference(forward_demodulation,[],[f24218,f3687]) ).
fof(f24757,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(double_divide(double_divide(X0,double_divide(X1,X3)),identity),X3)))) = X2,
inference(forward_demodulation,[],[f9259,f5325]) ).
fof(f24758,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(X3,double_divide(double_divide(X0,double_divide(X1,X3)),identity))))) = X2,
inference(forward_demodulation,[],[f24757,f328]) ).
fof(f24759,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(X2,double_divide(X0,identity)),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,X3))))))) = X2,
inference(forward_demodulation,[],[f24758,f1077]) ).
fof(f25575,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(identity,double_divide(X3,double_divide(identity,X2)))),identity)),double_divide(double_divide(X3,identity),double_divide(X0,identity))))) = X1,
inference(superposition,[],[f24759,f23261]) ).
fof(f25860,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(identity,double_divide(X3,double_divide(identity,X2)))),identity)),double_divide(identity,double_divide(X0,X3))))) = X1,
inference(forward_demodulation,[],[f25575,f3687]) ).
fof(f26173,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X3,double_divide(identity,X2)))))),double_divide(identity,double_divide(X0,X3))))) = X1,
inference(forward_demodulation,[],[f25860,f1077]) ).
fof(f26411,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,X3),double_divide(identity,double_divide(X0,X3))))) = X1,
inference(forward_demodulation,[],[f26173,f2488]) ).
fof(f27220,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X0,X2))),X2)),identity),
inference(superposition,[],[f24462,f24462]) ).
fof(f27528,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X0,X2))),X2))),
inference(forward_demodulation,[],[f27220,f75]) ).
fof(f27836,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(X1,double_divide(X0,X2))),X2),
inference(forward_demodulation,[],[f27528,f348]) ).
fof(f28035,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,X2)))),
inference(forward_demodulation,[],[f27836,f328]) ).
fof(f32303,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X2,double_divide(X1,X0)),double_divide(identity,double_divide(identity,double_divide(X0,X1)))))) = X2,
inference(superposition,[],[f26411,f313]) ).
fof(f32815,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X0)),double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[],[f32303,f348]) ).
fof(f33068,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X0)),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f32815,f348]) ).
fof(f33264,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X1,X0))) = X2,
inference(forward_demodulation,[],[f33068,f328]) ).
fof(f33821,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(double_divide(X1,X2),X0),
inference(superposition,[],[f33264,f93]) ).
fof(f41759,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X2)),X0) = double_divide(X1,double_divide(double_divide(X0,X2),identity)),
inference(superposition,[],[f28035,f26411]) ).
fof(f42113,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X2)),X0) = double_divide(X1,double_divide(identity,double_divide(X0,X2))),
inference(forward_demodulation,[],[f41759,f1077]) ).
fof(f92936,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))),
inference(superposition,[],[f140,f42113]) ).
fof(f93473,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(a3,b3),double_divide(c3,identity)),
inference(forward_demodulation,[],[f92936,f2353]) ).
fof(f94016,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(a3,b3),double_divide(identity,c3)),
inference(forward_demodulation,[],[f93473,f1077]) ).
fof(f94407,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,c3),double_divide(a3,b3)),
inference(forward_demodulation,[],[f94016,f328]) ).
fof(f94663,plain,
double_divide(double_divide(identity,c3),double_divide(a3,b3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(forward_demodulation,[],[f94407,f2353]) ).
fof(f94780,plain,
double_divide(double_divide(identity,c3),double_divide(a3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(forward_demodulation,[],[f94663,f1077]) ).
fof(f94844,plain,
$false,
inference(forward_subsumption_resolution,[],[f94780,f33821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP571-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 10:07:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 13.10/2.34 % (572409)Will run a generic schedule for satisfiability detection.
% 13.10/2.34 % (572427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1578487742:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.10/2.34 % (572424)% WARNING: option uhcvi not known.
% 13.10/2.34 % (572424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1675747830:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.10/2.34 % (572423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=190590662_2999 on theBenchmark for (2999ds/0Mi)
% 13.10/2.34 % (572428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2739008385:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.10/2.34 % (572425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3350347496:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.10/2.34 % (572426)dis+10_1_sil=32000:sp=arity:random_seed=3149282028:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.10/2.34 % (572429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1545666361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.10/2.34 % TRYING [1]
% 13.10/2.34 % TRYING [2]
% 13.10/2.34 % TRYING [3]
% 13.10/2.34 % TRYING [4]
% 13.10/2.34 % TRYING [5]
% 13.10/2.34 % (572427)Instruction limit reached!
% 13.10/2.34 % (572427)------------------------------
% 13.10/2.34 % (572427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572427)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572427)Termination reason: Instruction limit
% 13.10/2.34 % (572427)Termination phase: Saturation
% 13.10/2.34 % (572427)Time elapsed: 0.037 s
% 13.10/2.34 % (572427)Peak memory usage: 13 MB
% 13.10/2.34 % (572427)Instructions burned: 117 (million)
% 13.10/2.34 % TRYING [6]
% 13.10/2.34 % (572459)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=169665947:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.10/2.34 % TRYING [1]
% 13.10/2.34 % TRYING [2]
% 13.10/2.34 % TRYING [3]
% 13.10/2.34 % TRYING [4]
% 13.10/2.34 % (572426)Instruction limit reached!
% 13.10/2.34 % (572426)------------------------------
% 13.10/2.34 % (572426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572426)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572426)Termination reason: Instruction limit
% 13.10/2.34 % (572426)Termination phase: Saturation
% 13.10/2.34 % (572426)Time elapsed: 0.056 s
% 13.10/2.34 % (572426)Peak memory usage: 12 MB
% 13.10/2.34 % (572426)Instructions burned: 104 (million)
% 13.10/2.34 % TRYING [5]
% 13.10/2.34 % (572467)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1071943200:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.10/2.34 % (572428)Instruction limit reached!
% 13.10/2.34 % (572428)------------------------------
% 13.10/2.34 % (572428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572428)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572428)Termination reason: Instruction limit
% 13.10/2.34 % (572428)Termination phase: Saturation
% 13.10/2.34 % (572428)Time elapsed: 0.077 s
% 13.10/2.34 % (572428)Peak memory usage: 12 MB
% 13.10/2.34 % (572428)Instructions burned: 132 (million)
% 13.10/2.34 % TRYING [6]
% 13.10/2.34 % (572429)Instruction limit reached!
% 13.10/2.34 % (572429)------------------------------
% 13.10/2.34 % (572429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572429)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572429)Termination reason: Instruction limit
% 13.10/2.34 % (572429)Termination phase: Saturation
% 13.10/2.34 % (572429)Time elapsed: 0.093 s
% 13.10/2.34 % (572429)Peak memory usage: 12 MB
% 13.10/2.34 % (572429)Instructions burned: 160 (million)
% 13.10/2.34 % (572475)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=2928113468:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.10/2.34 % (572482)ott-21_1_sil=16000:fs=off:random_seed=1062882240:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.10/2.34 % TRYING [7]
% 13.10/2.34 % (572467)Instruction limit reached!
% 13.10/2.34 % (572467)------------------------------
% 13.10/2.34 % (572467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572467)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572467)Termination reason: Instruction limit
% 13.10/2.34 % (572467)Termination phase: Saturation
% 13.10/2.34 % (572467)Time elapsed: 0.085 s
% 13.10/2.34 % (572467)Peak memory usage: 12 MB
% 13.10/2.34 % (572467)Instructions burned: 131 (million)
% 13.10/2.34 % (572504)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4190881401:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.10/2.34 % (572482)Instruction limit reached!
% 13.10/2.34 % (572482)------------------------------
% 13.10/2.34 % (572482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572482)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572482)Termination reason: Instruction limit
% 13.10/2.34 % (572482)Termination phase: Saturation
% 13.10/2.34 % (572482)Time elapsed: 0.075 s
% 13.10/2.34 % (572482)Peak memory usage: 11 MB
% 13.10/2.34 % (572482)Instructions burned: 181 (million)
% 13.10/2.34 % (572512)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=997548009:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.10/2.34 % TRYING [1]
% 13.10/2.34 % TRYING [2]
% 13.10/2.34 % TRYING [3]
% 13.10/2.34 % TRYING [4]
% 13.10/2.34 % TRYING [5]
% 13.10/2.34 % TRYING [7]
% 13.10/2.34 % TRYING [6]
% 13.10/2.34 % (572459)Instruction limit reached!
% 13.10/2.34 % (572459)------------------------------
% 13.10/2.34 % (572459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572459)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572459)Termination reason: Instruction limit
% 13.10/2.34 % (572459)Termination phase: Finite model building constraint generation
% 13.10/2.34 % (572459)Time elapsed: 0.212 s
% 13.10/2.34 % (572459)Peak memory usage: 18 MB
% 13.10/2.34 % (572459)Instructions burned: 715 (million)
% 13.10/2.34 % (572551)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1075913518:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 13.10/2.34 % TRYING [7]
% 13.10/2.34 % (572504)Instruction limit reached!
% 13.10/2.34 % (572504)------------------------------
% 13.10/2.34 % (572504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572504)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572504)Termination reason: Instruction limit
% 13.10/2.34 % (572504)Termination phase: Saturation
% 13.10/2.34 % (572504)Time elapsed: 0.254 s
% 13.10/2.34 % (572504)Peak memory usage: 14 MB
% 13.10/2.34 % (572504)Instructions burned: 478 (million)
% 13.10/2.34 % (572475)Instruction limit reached!
% 13.10/2.34 % (572475)------------------------------
% 13.10/2.34 % (572475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572475)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572475)Termination reason: Instruction limit
% 13.10/2.34 % (572475)Termination phase: Saturation
% 13.10/2.34 % (572475)Time elapsed: 0.357 s
% 13.10/2.34 % (572475)Peak memory usage: 15 MB
% 13.10/2.34 % (572475)Instructions burned: 685 (million)
% 13.10/2.34 % (572558)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4037153816:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 13.10/2.34 % TRYING [8]
% 13.10/2.34 % (572560)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=1482700118:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 13.10/2.34 % TRYING [14]
% 13.10/2.34 % TRYING [8]
% 13.10/2.34 % (572512)Instruction limit reached!
% 13.10/2.34 % (572512)------------------------------
% 13.10/2.34 % (572512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572512)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572512)Termination reason: Instruction limit
% 13.10/2.34 % (572512)Termination phase: Finite model building constraint generation
% 13.10/2.34 % (572512)Time elapsed: 0.367 s
% 13.10/2.34 % (572512)Peak memory usage: 18 MB
% 13.10/2.34 % (572512)Instructions burned: 865 (million)
% 13.10/2.34 % (572562)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2350385627:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 13.10/2.34 % (572551)Instruction limit reached!
% 13.10/2.34 % (572551)------------------------------
% 13.10/2.34 % (572551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572551)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572551)Termination reason: Instruction limit
% 13.10/2.34 % (572551)Termination phase: Saturation
% 13.10/2.34 % (572551)Time elapsed: 0.341 s
% 13.10/2.34 % (572551)Peak memory usage: 19 MB
% 13.10/2.34 % (572551)Instructions burned: 1179 (million)
% 13.10/2.34 % (572564)fmb+10_1_sil=64000:random_seed=887110074:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 13.10/2.34 % TRYING [1]
% 13.10/2.34 % TRYING [2]
% 13.10/2.34 % TRYING [3]
% 13.10/2.34 % TRYING [4]
% 13.10/2.34 % TRYING [5]
% 13.10/2.34 % TRYING [6]
% 13.10/2.34 % TRYING [7]
% 13.10/2.34 % (572558)Instruction limit reached!
% 13.10/2.34 % (572558)------------------------------
% 13.10/2.34 % (572558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572558)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572558)Termination reason: Instruction limit
% 13.10/2.34 % (572558)Termination phase: Finite model building constraint generation
% 13.10/2.34 % (572558)Time elapsed: 0.318 s
% 13.10/2.34 % (572558)Peak memory usage: 79 MB
% 13.10/2.34 % (572558)Instructions burned: 890 (million)
% 13.10/2.34 % (572566)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2802361741:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 13.10/2.34 % TRYING [20]
% 13.10/2.34 % TRYING [8]
% 13.10/2.34 % (572560)Instruction limit reached!
% 13.10/2.34 % (572560)------------------------------
% 13.10/2.34 % (572560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572560)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572560)Termination reason: Instruction limit
% 13.10/2.34 % (572560)Termination phase: Saturation
% 13.10/2.34 % (572560)Time elapsed: 0.407 s
% 13.10/2.34 % (572560)Peak memory usage: 16 MB
% 13.10/2.34 % (572560)Instructions burned: 692 (million)
% 13.10/2.34 % (572568)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3099429005:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 13.10/2.34 % TRYING [8]
% 13.10/2.34 % (572562)Instruction limit reached!
% 13.10/2.34 % (572562)------------------------------
% 13.10/2.34 % (572562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572562)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572562)Termination reason: Instruction limit
% 13.10/2.34 % (572562)Termination phase: Saturation
% 13.10/2.34 % (572562)Time elapsed: 0.473 s
% 13.10/2.34 % (572562)Peak memory usage: 17 MB
% 13.10/2.34 % (572562)Instructions burned: 881 (million)
% 13.10/2.34 % (572570)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3182477422:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 13.10/2.34 % TRYING [9]
% 13.10/2.34 % TRYING [9]
% 13.10/2.34 % (572568)Instruction limit reached!
% 13.10/2.34 % (572568)------------------------------
% 13.10/2.34 % (572568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.34 % (572568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.34 % (572568)CaDiCaL version: 2.1.3
% 13.10/2.34 % (572568)Termination reason: Instruction limit
% 13.10/2.34 % (572568)Termination phase: Finite model building SAT solving
% 13.10/2.34 % (572568)Time elapsed: 0.552 s
% 13.10/2.34 % (572568)Peak memory usage: 32 MB
% 13.10/2.34 % (572568)Instructions burned: 921 (million)
% 13.10/2.34 % (572572)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3567911843:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 13.10/2.34 % (572425) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-572409-572425"...
% 13.10/2.34 % (572425)...printing done.
% 13.10/2.34 % (572425)Refutation found. Thanks to Tanya!
% 13.10/2.34 % SZS status Unsatisfiable for theBenchmark
% 13.10/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 13.10/2.35 % (572425)------------------------------
% 13.10/2.35 % (572425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.35 % (572425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.35 % (572425)CaDiCaL version: 2.1.3
% 13.10/2.35 % (572425)Termination reason: Refutation
% 13.10/2.35 % (572425)Time elapsed: 1.829 s
% 13.10/2.35 % (572425)Peak memory usage: 35 MB
% 13.10/2.35 % (572425)Instructions burned: 3611 (million)
% 13.10/2.35 % (572409)Success in time 1.905 s
% 13.10/2.35 % Vampire exiting
%------------------------------------------------------------------------------