%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 4.25s 1.07s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 86 ( 86 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 308 ( 308 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4)))) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X5,double_divide(inverse(X2),X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X3))),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X4,X0))),double_divide(X5,double_divide(X4,X5)))),X0)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X3) = double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0))))),inverse(double_divide(X0,double_divide(X4,double_divide(X3,X4))))),
inference(superposition,[],[f1,f21]) ).
fof(f52,plain,
! [X0,X6,X4,X5] : double_divide(X0,double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),double_divide(X6,double_divide(X0,X6)))))) = X5,
inference(superposition,[],[f23,f21]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X4,double_divide(X2,X4)))),
inference(superposition,[],[f21,f52]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(inverse(X4),double_divide(inverse(inverse(double_divide(X0,X1))),inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X3,X2)))),double_divide(X6,double_divide(inverse(X4),X6)))))),
inference(superposition,[],[f23,f86]) ).
fof(f195,plain,
! [X2,X3,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(X2,double_divide(X3,X2)),
inference(forward_demodulation,[],[f185,f23]) ).
fof(f204,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X2,X3)) = double_divide(double_divide(X1,X2),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f195,f195]) ).
fof(f222,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(superposition,[],[f1,f195]) ).
fof(f234,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X0,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X2,
inference(superposition,[],[f21,f195]) ).
fof(f691,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = inverse(double_divide(X2,double_divide(X0,double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X1,X3))))))),
inference(superposition,[],[f222,f39]) ).
fof(f1066,plain,
! [X3,X0,X1,X4] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X3,double_divide(X4,X3)))) = X4,
inference(superposition,[],[f234,f691]) ).
fof(f1148,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1) = inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3)),
inference(superposition,[],[f1066,f691]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X5,double_divide(X2,X5)))))) = X4,
inference(superposition,[],[f52,f1148]) ).
fof(f1707,plain,
! [X2,X3,X4] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2)) = X4,
inference(forward_demodulation,[],[f1688,f1066]) ).
fof(f1747,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2))))),X0) = X4,
inference(superposition,[],[f1707,f52]) ).
fof(f1783,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),double_divide(X4,double_divide(inverse(inverse(double_divide(X3,double_divide(X0,X3)))),X4))))) = X1,
inference(superposition,[],[f222,f1707]) ).
fof(f1851,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f1783,f1707]) ).
fof(f1855,plain,
! [X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),X4))),X0) = X4,
inference(forward_demodulation,[],[f1747,f1707]) ).
fof(f1888,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(inverse(X0),X0)))) = X1,
inference(superposition,[],[f1851,f1851]) ).
fof(f1889,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(X0,inverse(X0)))) = X1,
inference(superposition,[],[f1851,f39]) ).
fof(f2005,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1851,f1889]) ).
fof(f2933,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[],[f1855,f1889]) ).
fof(f2997,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f2933,f1]) ).
fof(f3041,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f1888,f2933]) ).
fof(f3044,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f2005,f2933]) ).
fof(f3140,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,inverse(inverse(double_divide(inverse(X1),X1)))),
inference(superposition,[],[f1888,f2997]) ).
fof(f3158,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(forward_demodulation,[],[f3140,f2933]) ).
fof(f3222,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f3041,f1707]) ).
fof(f3401,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(inverse(X1),X1),X0),
inference(superposition,[],[f3222,f3041]) ).
fof(f3943,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X0),X1)) = double_divide(double_divide(X2,inverse(X2)),X0),
inference(superposition,[],[f195,f3044]) ).
fof(f3994,plain,
! [X2,X0] : inverse(X0) = double_divide(double_divide(X2,inverse(X2)),X0),
inference(forward_demodulation,[],[f3943,f3222]) ).
fof(f7200,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X3))),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X4,X0))),X4)),X0)))) = X3,
inference(forward_demodulation,[],[f6,f3222]) ).
fof(f7702,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4)))) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X5,X6))),X5)),X6)))),
inference(superposition,[],[f7200,f1]) ).
fof(f7851,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(inverse(inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))))),X4))),double_divide(inverse(double_divide(X0,X5)),double_divide(X0,X5))))) = X4,
inference(superposition,[],[f7200,f234]) ).
fof(f8075,plain,
! [X2,X3,X1,X4] : double_divide(inverse(X1),inverse(double_divide(X1,double_divide(inverse(inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))))),X4)))) = X4,
inference(forward_demodulation,[],[f7851,f3041]) ).
fof(f8208,plain,
! [X2,X3,X0,X1,X6,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X5,X6))),X5)),X6)))) = inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),X3)),
inference(forward_demodulation,[],[f7702,f3222]) ).
fof(f8296,plain,
! [X2,X3,X1,X4] : double_divide(inverse(X1),inverse(double_divide(X1,double_divide(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))),X4)))) = X4,
inference(forward_demodulation,[],[f8075,f2933]) ).
fof(f8400,plain,
! [X2,X1,X4] : double_divide(inverse(X1),inverse(double_divide(X1,double_divide(double_divide(X2,inverse(X2)),X4)))) = X4,
inference(forward_demodulation,[],[f8296,f3222]) ).
fof(f8433,plain,
! [X1,X4] : double_divide(inverse(X1),inverse(double_divide(X1,inverse(X4)))) = X4,
inference(forward_demodulation,[],[f8400,f3994]) ).
fof(f8518,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3),double_divide(X4,double_divide(X0,X4))) = double_divide(inverse(X1),inverse(double_divide(X1,X0))),
inference(superposition,[],[f8433,f1066]) ).
fof(f8584,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X2),X1)) = double_divide(inverse(double_divide(X2,inverse(X0))),X0),
inference(superposition,[],[f195,f8433]) ).
fof(f8585,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(inverse(double_divide(X2,inverse(X0))),X1)) = double_divide(X0,double_divide(X3,double_divide(inverse(X2),X3))),
inference(superposition,[],[f204,f8433]) ).
fof(f8635,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X2)) = double_divide(X1,double_divide(inverse(double_divide(X2,inverse(X0))),X1)),
inference(forward_demodulation,[],[f8585,f3222]) ).
fof(f8636,plain,
! [X2,X0] : inverse(X2) = double_divide(inverse(double_divide(X2,inverse(X0))),X0),
inference(forward_demodulation,[],[f8584,f3222]) ).
fof(f8682,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3),X0) = double_divide(inverse(X1),inverse(double_divide(X1,X0))),
inference(forward_demodulation,[],[f8518,f3222]) ).
fof(f8718,plain,
! [X2,X0] : double_divide(X0,inverse(X2)) = inverse(double_divide(X2,inverse(X0))),
inference(forward_demodulation,[],[f8635,f3222]) ).
fof(f8739,plain,
! [X3,X0,X1] : double_divide(double_divide(inverse(X3),X3),X0) = double_divide(inverse(X1),inverse(double_divide(X1,X0))),
inference(forward_demodulation,[],[f8682,f3222]) ).
fof(f8767,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X1,X0))),
inference(forward_demodulation,[],[f8739,f3401]) ).
fof(f9168,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,X0)) = double_divide(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2),double_divide(X3,double_divide(X0,X3))),inverse(X4)),
inference(superposition,[],[f8718,f1066]) ).
fof(f9348,plain,
! [X2,X0,X1,X4] : inverse(double_divide(X4,X0)) = double_divide(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2),X0),inverse(X4)),
inference(forward_demodulation,[],[f9168,f3222]) ).
fof(f9403,plain,
! [X2,X0,X4] : inverse(double_divide(X4,X0)) = double_divide(double_divide(double_divide(inverse(X2),X2),X0),inverse(X4)),
inference(forward_demodulation,[],[f9348,f3222]) ).
fof(f9432,plain,
! [X0,X4] : inverse(double_divide(X4,X0)) = double_divide(inverse(X0),inverse(X4)),
inference(forward_demodulation,[],[f9403,f3401]) ).
fof(f9455,plain,
! [X2,X3,X0,X1,X4] : inverse(X1) = double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3),double_divide(X4,double_divide(X0,X4))),X1))),
inference(superposition,[],[f8767,f1066]) ).
fof(f9700,plain,
! [X2,X3,X0,X1] : inverse(X1) = double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3),X0),X1))),
inference(forward_demodulation,[],[f9455,f3222]) ).
fof(f9786,plain,
! [X3,X0,X1] : inverse(X1) = double_divide(X0,inverse(double_divide(double_divide(double_divide(inverse(X3),X3),X0),X1))),
inference(forward_demodulation,[],[f9700,f3222]) ).
fof(f9834,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,inverse(double_divide(inverse(X0),X1))),
inference(forward_demodulation,[],[f9786,f3401]) ).
fof(f11126,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),X0) = inverse(double_divide(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2),double_divide(X3,double_divide(X0,X3))),X4)),
inference(superposition,[],[f9432,f1066]) ).
fof(f11381,plain,
! [X2,X0,X1,X4] : double_divide(inverse(X4),X0) = inverse(double_divide(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2),X0),X4)),
inference(forward_demodulation,[],[f11126,f3222]) ).
fof(f11485,plain,
! [X2,X0,X4] : double_divide(inverse(X4),X0) = inverse(double_divide(double_divide(double_divide(inverse(X2),X2),X0),X4)),
inference(forward_demodulation,[],[f11381,f3222]) ).
fof(f11560,plain,
! [X0,X4] : double_divide(inverse(X4),X0) = inverse(double_divide(inverse(X0),X4)),
inference(forward_demodulation,[],[f11485,f3401]) ).
fof(f15961,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(superposition,[],[f4,f11560]) ).
fof(f16151,plain,
double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),inverse(c3)),
inference(forward_demodulation,[],[f15961,f8718]) ).
fof(f16500,plain,
! [X2,X3,X0,X1,X6,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X5,X6))),X5)),X6)))) = double_divide(inverse(X3),double_divide(X2,double_divide(X3,X0))),
inference(forward_demodulation,[],[f8208,f11560]) ).
fof(f16501,plain,
! [X2,X3,X0,X1,X6,X5] : double_divide(inverse(X3),double_divide(X2,double_divide(X3,X0))) = inverse(double_divide(double_divide(inverse(double_divide(X1,X0)),double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X5,X6))),X5)),X6)),X1)),
inference(forward_demodulation,[],[f16500,f9432]) ).
fof(f16502,plain,
! [X2,X3,X0,X1,X6,X5] : double_divide(inverse(X3),double_divide(X2,double_divide(X3,X0))) = inverse(double_divide(double_divide(inverse(double_divide(X1,X0)),double_divide(double_divide(inverse(X5),double_divide(X2,double_divide(X5,X6))),X6)),X1)),
inference(forward_demodulation,[],[f16501,f11560]) ).
fof(f16797,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(inverse(X1),double_divide(X2,double_divide(X1,inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5))))))) = inverse(double_divide(double_divide(inverse(X0),double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)),inverse(X0))),
inference(superposition,[],[f16502,f222]) ).
fof(f17523,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(inverse(X1),double_divide(X2,double_divide(X1,inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5))))))) = double_divide(X0,inverse(double_divide(inverse(X0),double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)))),
inference(forward_demodulation,[],[f16797,f8718]) ).
fof(f17896,plain,
! [X2,X3,X1,X6,X7,X4,X5] : double_divide(inverse(X1),double_divide(X2,double_divide(X1,inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5))))))) = inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)),
inference(forward_demodulation,[],[f17523,f9834]) ).
fof(f18159,plain,
! [X2,X3,X1,X6,X7,X4,X5] : inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)) = double_divide(inverse(X1),double_divide(X2,double_divide(X1,double_divide(inverse(double_divide(X5,double_divide(X4,X5))),double_divide(X3,double_divide(X4,X3)))))),
inference(forward_demodulation,[],[f17896,f11560]) ).
fof(f18327,plain,
! [X2,X1,X6,X7,X4,X5] : inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)) = double_divide(inverse(X1),double_divide(X2,double_divide(X1,double_divide(inverse(double_divide(X5,double_divide(X4,X5))),X4)))),
inference(forward_demodulation,[],[f18159,f3222]) ).
fof(f18421,plain,
! [X2,X1,X6,X7,X4] : inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)) = double_divide(inverse(X1),double_divide(X2,double_divide(X1,double_divide(inverse(X4),X4)))),
inference(forward_demodulation,[],[f18327,f3222]) ).
fof(f18474,plain,
! [X2,X1,X6,X7] : double_divide(inverse(X1),double_divide(X2,inverse(X1))) = inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)),
inference(forward_demodulation,[],[f18421,f3158]) ).
fof(f18502,plain,
! [X2,X6,X7] : inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,X7))),X7)) = X2,
inference(forward_demodulation,[],[f18474,f3222]) ).
fof(f18747,plain,
! [X2,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,X2)))) = inverse(double_divide(double_divide(inverse(X1),inverse(X0)),X2)),
inference(superposition,[],[f18502,f8636]) ).
fof(f18956,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,X1)),X2)) = inverse(double_divide(X0,inverse(double_divide(X1,X2)))),
inference(forward_demodulation,[],[f18747,f9432]) ).
fof(f19090,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,X1)),X2)) = double_divide(double_divide(X1,X2),inverse(X0)),
inference(forward_demodulation,[],[f18956,f8718]) ).
fof(f19181,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,X1)) = double_divide(double_divide(X1,X2),inverse(X0)),
inference(forward_demodulation,[],[f19090,f11560]) ).
fof(f26415,plain,
double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(inverse(a3),double_divide(c3,b3)),
inference(superposition,[],[f16151,f19181]) ).
fof(f26499,plain,
$false,
inference(trivial_inequality_removal,[],[f26415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.39 % Computer : n001.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun Sep 27 10:12:01 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 Running first-order model finding
% 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.25/1.06 % (3328327)Will run a generic schedule for satisfiability detection.
% 4.25/1.06 % (3328332)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3803861525_2999 on theBenchmark for (2999ds/0Mi)
% 4.25/1.06 % TRYING [1]
% 4.25/1.06 % TRYING [2]
% 4.25/1.06 % TRYING [3]
% 4.25/1.06 % (3328333)% WARNING: option uhcvi not known.
% 4.25/1.06 % (3328334)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4176393690:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.25/1.06 % (3328333)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1298193210:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.25/1.06 % (3328335)dis+10_1_sil=32000:sp=arity:random_seed=295225640:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.25/1.06 % (3328336)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2003553069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.25/1.06 % (3328338)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2642236433:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.25/1.06 % TRYING [4]
% 4.25/1.07 % (3328337)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3033180823:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.25/1.07 % (3328335)Instruction limit reached!
% 4.25/1.07 % (3328335)------------------------------
% 4.25/1.07 % (3328335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328335)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328335)Termination reason: Instruction limit
% 4.25/1.07 % (3328335)Termination phase: Saturation
% 4.25/1.07 % (3328335)Time elapsed: 0.054 s
% 4.25/1.07 % (3328335)Peak memory usage: 12 MB
% 4.25/1.07 % (3328335)Instructions burned: 103 (million)
% 4.25/1.07 % (3328336)Instruction limit reached!
% 4.25/1.07 % (3328336)------------------------------
% 4.25/1.07 % (3328336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328336)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328336)Termination reason: Instruction limit
% 4.25/1.07 % (3328336)Termination phase: Saturation
% 4.25/1.07 % (3328336)Time elapsed: 0.065 s
% 4.25/1.07 % (3328336)Peak memory usage: 12 MB
% 4.25/1.07 % (3328336)Instructions burned: 116 (million)
% 4.25/1.07 % (3328346)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=600941047:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.25/1.07 % TRYING [1]
% 4.25/1.07 % TRYING [2]
% 4.25/1.07 % TRYING [3]
% 4.25/1.07 % (3328347)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4066638228:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.25/1.07 % TRYING [4]
% 4.25/1.07 % (3328337)Instruction limit reached!
% 4.25/1.07 % (3328337)------------------------------
% 4.25/1.07 % (3328337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328337)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328337)Termination reason: Instruction limit
% 4.25/1.07 % (3328337)Termination phase: Saturation
% 4.25/1.07 % (3328337)Time elapsed: 0.087 s
% 4.25/1.07 % (3328337)Peak memory usage: 13 MB
% 4.25/1.07 % (3328337)Instructions burned: 131 (million)
% 4.25/1.07 % (3328338)Instruction limit reached!
% 4.25/1.07 % (3328338)------------------------------
% 4.25/1.07 % (3328338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328338)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328338)Termination reason: Instruction limit
% 4.25/1.07 % (3328338)Termination phase: Saturation
% 4.25/1.07 % (3328338)Time elapsed: 0.096 s
% 4.25/1.07 % (3328338)Peak memory usage: 13 MB
% 4.25/1.07 % (3328338)Instructions burned: 160 (million)
% 4.25/1.07 % (3328352)ott-21_1_sil=16000:fs=off:random_seed=3930693266:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.25/1.07 % (3328351)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=4194645401:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.25/1.07 % (3328347)Instruction limit reached!
% 4.25/1.07 % (3328347)------------------------------
% 4.25/1.07 % (3328347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328347)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328347)Termination reason: Instruction limit
% 4.25/1.07 % (3328347)Termination phase: Saturation
% 4.25/1.07 % (3328347)Time elapsed: 0.080 s
% 4.25/1.07 % (3328347)Peak memory usage: 12 MB
% 4.25/1.07 % (3328347)Instructions burned: 131 (million)
% 4.25/1.07 % (3328355)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1000470168:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.25/1.07 % (3328352)Instruction limit reached!
% 4.25/1.07 % (3328352)------------------------------
% 4.25/1.07 % (3328352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328352)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328352)Termination reason: Instruction limit
% 4.25/1.07 % (3328352)Termination phase: Saturation
% 4.25/1.07 % (3328352)Time elapsed: 0.087 s
% 4.25/1.07 % (3328352)Peak memory usage: 12 MB
% 4.25/1.07 % (3328352)Instructions burned: 180 (million)
% 4.25/1.07 % (3328357)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3662234311:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.25/1.07 % TRYING [1]
% 4.25/1.07 % TRYING [2]
% 4.25/1.07 % TRYING [3]
% 4.25/1.07 % TRYING [4]
% 4.25/1.07 % (3328355)Instruction limit reached!
% 4.25/1.07 % (3328355)------------------------------
% 4.25/1.07 % (3328355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328355)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328355)Termination reason: Instruction limit
% 4.25/1.07 % (3328355)Termination phase: Saturation
% 4.25/1.07 % (3328355)Time elapsed: 0.235 s
% 4.25/1.07 % (3328355)Peak memory usage: 15 MB
% 4.25/1.07 % (3328355)Instructions burned: 477 (million)
% 4.25/1.07 % (3328398)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2379890233:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.25/1.07 % (3328351)Instruction limit reached!
% 4.25/1.07 % (3328351)------------------------------
% 4.25/1.07 % (3328351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328351)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328351)Termination reason: Instruction limit
% 4.25/1.07 % (3328351)Termination phase: Saturation
% 4.25/1.07 % (3328351)Time elapsed: 0.345 s
% 4.25/1.07 % (3328351)Peak memory usage: 17 MB
% 4.25/1.07 % (3328351)Instructions burned: 686 (million)
% 4.25/1.07 % (3328400)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4076506551:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.25/1.07 % (3328346)Instruction limit reached!
% 4.25/1.07 % (3328346)------------------------------
% 4.25/1.07 % (3328346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328346)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328346)Termination reason: Instruction limit
% 4.25/1.07 % (3328346)Termination phase: Finite model building SAT solving
% 4.25/1.07 % (3328346)Time elapsed: 0.422 s
% 4.25/1.07 % (3328346)Peak memory usage: 12 MB
% 4.25/1.07 % (3328346)Instructions burned: 714 (million)
% 4.25/1.07 % (3328402)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=1298653150: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)
% 4.25/1.07 % TRYING [14]
% 4.25/1.07 % (3328334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3328327-3328334"...
% 4.25/1.07 % (3328334)...printing done.
% 4.25/1.07 % (3328334)Refutation found. Thanks to Tanya!
% 4.25/1.07 % SZS status Unsatisfiable for theBenchmark
% 4.25/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 4.25/1.07 % (3328334)------------------------------
% 4.25/1.07 % (3328334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.25/1.07 % (3328334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.25/1.07 % (3328334)CaDiCaL version: 2.1.3
% 4.25/1.07 % (3328334)Termination reason: Refutation
% 4.25/1.07 % (3328334)Time elapsed: 0.595 s
% 4.25/1.07 % (3328334)Peak memory usage: 22 MB
% 4.25/1.07 % (3328334)Instructions burned: 1241 (million)
% 4.25/1.07 % (3328327)Success in time 0.631 s
% 4.25/1.07 % Vampire exiting
%------------------------------------------------------------------------------