%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP474-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:14:06 AM UTC 2026
% Result : Unsatisfiable 9.60s 2.58s
% Output : Refutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 14 ( 2 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 : 454 ( 454 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X0),divide(divide(X4,X5),divide(inverse(divide(X1,X0)),divide(divide(X2,X3),X1)))),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(X0,X1)),divide(divide(X5,X4),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X1,X2),X3)),X0),divide(divide(divide(X2,X1),X4),inverse(divide(X4,X0)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),X1)),X0) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X0),X4),divide(divide(divide(divide(divide(X2,X3),X1),inverse(divide(X1,X0))),X5),inverse(divide(X5,X4)))),
inference(superposition,[],[f7,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(divide(X2,X1),X4),inverse(divide(X4,X3))) = divide(divide(inverse(X0),divide(divide(X5,X6),divide(inverse(divide(divide(X1,X2),X0)),X3))),divide(X6,X5)),
inference(superposition,[],[f1,f7]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(divide(divide(X1,X2),X3),inverse(divide(X3,X4))),X5)),X0),divide(X4,inverse(divide(divide(X2,X1),X0)))) = X5,
inference(superposition,[],[f1,f7]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(divide(X0,X1),X9)))),divide(X8,X7)),
inference(superposition,[],[f5,f5]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X4,X3) = divide(divide(inverse(divide(X0,X1)),divide(divide(X6,X7),divide(inverse(X2),divide(divide(X3,X4),divide(inverse(divide(X5,X2)),divide(divide(X1,X0),X5)))))),divide(X7,X6)),
inference(superposition,[],[f1,f5]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X0) = divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))),
inference(forward_demodulation,[],[f31,f5]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] : divide(divide(divide(X0,X1),X2),inverse(divide(X2,X3))) = divide(divide(divide(X0,X1),X4),inverse(divide(X4,X3))),
inference(superposition,[],[f21,f21]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(divide(divide(X0,X1),X2),inverse(divide(X2,divide(divide(X3,X4),divide(X1,X0))))),
inference(superposition,[],[f5,f21]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X2) = divide(X0,inverse(divide(divide(X5,X4),divide(divide(X2,X1),divide(divide(divide(X4,X5),X3),inverse(divide(X3,X0))))))),
inference(superposition,[],[f227,f1]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X1,X2),inverse(divide(X2,X0))) = divide(divide(divide(divide(inverse(divide(X3,X1)),divide(divide(X4,X5),X3)),divide(X5,X4)),X6),inverse(divide(X6,X0))),
inference(superposition,[],[f227,f6]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,inverse(divide(divide(X2,X3),X0))) = divide(divide(divide(inverse(divide(X4,X1)),divide(divide(X3,X2),X4)),X5),inverse(divide(X5,X0))),
inference(superposition,[],[f227,f7]) ).
fof(f343,plain,
! [X2,X0,X1,X6] : divide(divide(X1,X2),inverse(divide(X2,X0))) = divide(divide(X1,X6),inverse(divide(X6,X0))),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X2,X3),inverse(divide(X3,inverse(divide(X4,divide(divide(X1,X0),divide(X5,X6))))))) = divide(divide(X2,divide(divide(X6,X5),X4)),inverse(divide(X0,X1))),
inference(superposition,[],[f343,f227]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(divide(divide(X4,X5),X6),inverse(divide(X6,divide(divide(divide(X0,X1),inverse(divide(X1,X2))),divide(X5,X4))))),
inference(superposition,[],[f227,f343]) ).
fof(f481,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,X2)),divide(X0,X1)) = divide(inverse(divide(X3,X2)),divide(X0,X3)),
inference(forward_demodulation,[],[f470,f227]) ).
fof(f1522,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : divide(divide(X0,X1),divide(divide(divide(X3,X2),X8),inverse(divide(X8,inverse(divide(divide(X5,X6),divide(divide(X1,X0),divide(divide(divide(X6,X5),X7),inverse(divide(X7,inverse(divide(divide(X2,X3),X4)))))))))))) = X4,
inference(superposition,[],[f7,f270]) ).
fof(f1527,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(X0,X1),divide(divide(divide(X3,X2),divide(divide(inverse(divide(X7,inverse(divide(divide(X2,X3),X4)))),divide(divide(X6,X5),X7)),divide(X5,X6))),inverse(divide(X0,X1)))) = X4,
inference(forward_demodulation,[],[f1522,f394]) ).
fof(f1574,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X0,X1),divide(divide(divide(X3,X2),inverse(divide(divide(X2,X3),X4))),inverse(divide(X0,X1)))) = X4,
inference(forward_demodulation,[],[f1527,f1]) ).
fof(f1596,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X1,X2),divide(divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),inverse(divide(X0,X6))),inverse(divide(X1,X2)))) = X6,
inference(superposition,[],[f1574,f1]) ).
fof(f1627,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(X4,divide(divide(X1,X0),divide(X6,X5)))) = divide(divide(X2,X3),divide(divide(divide(X4,divide(X5,X6)),inverse(divide(X0,X1))),inverse(divide(X2,X3)))),
inference(superposition,[],[f1574,f227]) ).
fof(f1648,plain,
! [X0,X6,X7,X5] : divide(X0,divide(divide(divide(X5,X6),inverse(divide(divide(X6,X5),X7))),inverse(X0))) = X7,
inference(superposition,[],[f1574,f1574]) ).
fof(f1753,plain,
! [X3,X0,X6,X4,X5] : inverse(divide(divide(X3,X4),divide(divide(X6,X0),divide(divide(divide(X4,X3),X5),inverse(divide(X5,X0)))))) = X6,
inference(forward_demodulation,[],[f1596,f1627]) ).
fof(f1869,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(X0,X5),divide(divide(divide(inverse(divide(X3,X4)),divide(divide(X1,X2),X3)),X6),inverse(divide(X6,X5)))) = divide(divide(X0,X7),divide(X4,inverse(divide(divide(X2,X1),X7)))),
inference(superposition,[],[f22,f1753]) ).
fof(f1896,plain,
! [X2,X0,X1,X7,X4,X5] : divide(divide(X0,X7),divide(X4,inverse(divide(divide(X2,X1),X7)))) = divide(divide(X0,X5),divide(X4,inverse(divide(divide(X2,X1),X5)))),
inference(forward_demodulation,[],[f1869,f296]) ).
fof(f2006,plain,
! [X2,X3,X0,X1,X8] : divide(divide(X1,X2),divide(X3,inverse(divide(X0,X2)))) = divide(divide(X1,X8),divide(X3,inverse(divide(X0,X8)))),
inference(superposition,[],[f1896,f1574]) ).
fof(f2189,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X2,inverse(divide(divide(X3,X4),X5))),divide(X0,X5)) = divide(X6,inverse(divide(divide(X7,X8),divide(divide(divide(X0,X1),divide(X2,inverse(divide(divide(X3,X4),X1)))),divide(divide(divide(X8,X7),X9),inverse(divide(X9,X6))))))),
inference(superposition,[],[f270,f1896]) ).
fof(f2228,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X2,inverse(divide(divide(X3,X4),X5))),divide(X0,X5)) = divide(divide(X2,inverse(divide(divide(X3,X4),X1))),divide(X0,X1)),
inference(forward_demodulation,[],[f2189,f270]) ).
fof(f2524,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : divide(divide(X2,inverse(divide(X3,X4))),divide(X0,X4)) = divide(X5,inverse(divide(divide(X6,X7),divide(divide(divide(X0,X1),divide(X2,inverse(divide(X3,X1)))),divide(divide(divide(X7,X6),X8),inverse(divide(X8,X5))))))),
inference(superposition,[],[f270,f2006]) ).
fof(f2568,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X2,inverse(divide(X3,X4))),divide(X0,X4)) = divide(divide(X2,inverse(divide(X3,X1))),divide(X0,X1)),
inference(forward_demodulation,[],[f2524,f270]) ).
fof(f3361,plain,
! [X2,X3,X0,X1,X4] : divide(X3,X2) = divide(X1,divide(divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,X0))),inverse(X0)),inverse(X1))),
inference(superposition,[],[f1648,f1]) ).
fof(f3963,plain,
! [X2,X3,X0,X1] : divide(X2,X3) = divide(divide(inverse(divide(X1,X0)),divide(X0,X1)),divide(X3,X2)),
inference(superposition,[],[f40,f49]) ).
fof(f4252,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X0,divide(X1,X2))),X3) = divide(divide(inverse(divide(X2,X1)),X4),divide(X3,inverse(divide(X0,X4)))),
inference(superposition,[],[f2006,f3963]) ).
fof(f4342,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))) = divide(X4,divide(divide(divide(divide(divide(X0,X1),X5),inverse(divide(X5,X6))),inverse(X6)),inverse(X4))),
inference(superposition,[],[f3361,f3963]) ).
fof(f4370,plain,
! [X2,X3,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(forward_demodulation,[],[f4342,f3361]) ).
fof(f4448,plain,
! [X0,X4,X5] : divide(X0,divide(inverse(divide(X4,X5)),divide(X5,X4))) = X0,
inference(superposition,[],[f4370,f1648]) ).
fof(f4540,plain,
! [X2,X3,X0,X1,X4] : divide(X0,inverse(divide(X1,divide(X2,X3)))) = divide(divide(X0,inverse(divide(X1,X4))),divide(inverse(divide(X3,X2)),X4)),
inference(superposition,[],[f2568,f4370]) ).
fof(f4542,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X0,inverse(divide(divide(X1,X2),divide(X3,X4)))) = divide(divide(X0,inverse(divide(divide(X1,X2),X5))),divide(inverse(divide(X4,X3)),X5)),
inference(superposition,[],[f2228,f4370]) ).
fof(f4633,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(X1,X0),X2)),X3),divide(divide(X0,X1),inverse(divide(divide(inverse(divide(X4,X5)),divide(X5,X4)),X3)))) = X2,
inference(superposition,[],[f7,f4370]) ).
fof(f4662,plain,
! [X2,X0,X1,X4,X5] : divide(inverse(divide(divide(inverse(divide(X4,X5)),divide(X5,X4)),divide(X2,divide(X1,X0)))),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f4633,f4252]) ).
fof(f4732,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X1,X0),X2)),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f4662,f3963]) ).
fof(f4773,plain,
! [X2,X3,X0,X1] : divide(X3,X2) = divide(inverse(X0),divide(divide(divide(X2,X3),X1),inverse(divide(X1,X0)))),
inference(superposition,[],[f4732,f1]) ).
fof(f4794,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X0,X1),X5)))) = divide(inverse(divide(X0,X1)),divide(X3,X2)),
inference(superposition,[],[f4732,f49]) ).
fof(f4800,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(X4,X5),divide(divide(X1,X0),divide(divide(divide(X5,X4),X6),inverse(divide(X6,divide(X2,X3))))))) = divide(inverse(divide(X0,X1)),divide(X3,X2)),
inference(superposition,[],[f4732,f270]) ).
fof(f4853,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(divide(X1,X2),inverse(divide(divide(X2,X1),X0))),X3)),X4),divide(divide(X0,X5),inverse(divide(X5,X4)))) = X3,
inference(superposition,[],[f7,f4732]) ).
fof(f4905,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(X3,X4),X0)) = inverse(divide(divide(X1,X2),divide(X0,divide(divide(divide(X2,X1),X5),inverse(divide(X5,divide(X4,X3))))))),
inference(superposition,[],[f1753,f4732]) ).
fof(f4912,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(X1,X2),X0)),X3),divide(X4,inverse(divide(X5,X3)))) = divide(X0,divide(X4,inverse(divide(X5,divide(X2,X1))))),
inference(superposition,[],[f2006,f4732]) ).
fof(f4918,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X1,inverse(divide(X2,divide(X3,X4)))),X0) = divide(divide(X1,inverse(divide(X2,X5))),divide(inverse(divide(divide(X4,X3),X0)),X5)),
inference(superposition,[],[f2568,f4732]) ).
fof(f4931,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,inverse(divide(X2,divide(X3,X4)))),X0) = divide(X1,inverse(divide(X2,divide(X0,divide(X4,X3))))),
inference(forward_demodulation,[],[f4918,f4540]) ).
fof(f4935,plain,
! [X2,X0,X1,X4,X5] : divide(X0,divide(X4,inverse(divide(X5,divide(X2,X1))))) = divide(inverse(divide(X5,divide(X0,divide(X1,X2)))),X4),
inference(forward_demodulation,[],[f4912,f4252]) ).
fof(f4943,plain,
! [X2,X3,X0,X1,X5] : divide(inverse(divide(X5,divide(X3,divide(divide(X1,X2),inverse(divide(divide(X2,X1),X0)))))),divide(X0,X5)) = X3,
inference(forward_demodulation,[],[f4853,f4252]) ).
fof(f4956,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,X1)),divide(X3,X2)) = inverse(divide(divide(X3,X2),divide(X1,X0))),
inference(forward_demodulation,[],[f4800,f4905]) ).
fof(f4972,plain,
! [X2,X3,X0,X1,X5] : divide(X3,divide(divide(X0,X5),inverse(divide(X5,divide(inverse(divide(divide(X2,X1),X0)),divide(X1,X2)))))) = X3,
inference(forward_demodulation,[],[f4943,f4935]) ).
fof(f4978,plain,
! [X3,X0,X5] : divide(X3,divide(divide(X0,X5),inverse(divide(X5,X0)))) = X3,
inference(forward_demodulation,[],[f4972,f4732]) ).
fof(f5020,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X1,divide(divide(divide(X2,inverse(divide(divide(X3,X4),X5))),divide(inverse(divide(divide(divide(divide(X4,X3),X6),inverse(divide(X6,X2))),X0)),X5)),inverse(X0))) = X1,
inference(superposition,[],[f4978,f22]) ).
fof(f5081,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X3,X4)),divide(divide(divide(X0,X1),inverse(divide(inverse(divide(X0,X1)),X2))),X3)),X2) = X4,
inference(superposition,[],[f8,f4978]) ).
fof(f5083,plain,
! [X2,X0,X1] : divide(inverse(divide(inverse(divide(X0,X1)),X2)),divide(X0,X1)) = X2,
inference(superposition,[],[f1,f4978]) ).
fof(f5086,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(divide(X0,X1)),X2)) = divide(inverse(divide(X3,X2)),divide(divide(X1,X0),X3)),
inference(superposition,[],[f481,f4978]) ).
fof(f5096,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X5,X4) = divide(inverse(X0),divide(divide(inverse(divide(X1,X2)),divide(X2,X1)),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),
inference(superposition,[],[f5,f4978]) ).
fof(f5133,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X1,X2) = divide(divide(inverse(divide(divide(X3,X4),inverse(divide(X4,X3)))),X5),divide(divide(divide(divide(divide(X2,X1),X0),inverse(X0)),X6),inverse(divide(X6,X5)))),
inference(superposition,[],[f11,f4978]) ).
fof(f5295,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,X2) = divide(inverse(divide(X6,divide(inverse(divide(X4,X3)),divide(X3,X4)))),divide(divide(divide(divide(X2,X1),X0),inverse(X0)),X6)),
inference(forward_demodulation,[],[f5133,f4252]) ).
fof(f5304,plain,
! [X2,X1,X4,X5] : divide(X5,X4) = divide(inverse(divide(X4,X5)),divide(inverse(divide(X1,X2)),divide(X2,X1))),
inference(forward_demodulation,[],[f5096,f4794]) ).
fof(f5309,plain,
! [X2,X0,X1,X4] : divide(inverse(divide(inverse(divide(inverse(divide(inverse(divide(X0,X1)),X2)),divide(X0,X1))),X4)),X2) = X4,
inference(forward_demodulation,[],[f5081,f5086]) ).
fof(f5334,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,divide(divide(X2,inverse(divide(divide(X3,X4),divide(X0,divide(divide(divide(X4,X3),X6),inverse(divide(X6,X2))))))),inverse(X0))) = X1,
inference(forward_demodulation,[],[f5020,f4542]) ).
fof(f5388,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,X2) = divide(inverse(divide(X4,X3)),divide(divide(divide(divide(divide(X2,X1),X0),inverse(X0)),X6),inverse(divide(X6,divide(X4,X3))))),
inference(forward_demodulation,[],[f5295,f4935]) ).
fof(f5392,plain,
! [X4,X5] : divide(X5,X4) = inverse(divide(X4,X5)),
inference(forward_demodulation,[],[f5304,f4448]) ).
fof(f5394,plain,
! [X2,X4] : divide(inverse(divide(inverse(X2),X4)),X2) = X4,
inference(forward_demodulation,[],[f5309,f5083]) ).
fof(f5408,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,divide(X2,inverse(divide(divide(X3,X4),divide(inverse(X0),divide(divide(divide(divide(X4,X3),X6),inverse(divide(X6,X2))),X0)))))) = X1,
inference(forward_demodulation,[],[f5334,f4931]) ).
fof(f5439,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(inverse(X0),divide(divide(X2,X1),X0)),
inference(forward_demodulation,[],[f5388,f4773]) ).
fof(f5444,plain,
! [X2,X4] : divide(divide(X4,inverse(X2)),X2) = X4,
inference(forward_demodulation,[],[f5394,f5392]) ).
fof(f5456,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,divide(X2,divide(inverse(divide(divide(divide(divide(divide(X4,X3),X6),inverse(divide(X6,X2))),X0),inverse(X0))),divide(X3,X4)))) = X1,
inference(forward_demodulation,[],[f5408,f4956]) ).
fof(f5496,plain,
! [X2,X3,X0,X1,X6,X4] : divide(X1,divide(X2,divide(divide(inverse(X0),divide(divide(divide(divide(X4,X3),X6),inverse(divide(X6,X2))),X0)),divide(X3,X4)))) = X1,
inference(forward_demodulation,[],[f5456,f5392]) ).
fof(f5526,plain,
! [X2,X3,X1,X6,X4] : divide(X1,divide(X2,divide(divide(inverse(divide(X6,X2)),divide(divide(X4,X3),X6)),divide(X3,X4)))) = X1,
inference(forward_demodulation,[],[f5496,f5439]) ).
fof(f5538,plain,
! [X2,X1] : divide(X1,divide(X2,X2)) = X1,
inference(forward_demodulation,[],[f5526,f1]) ).
fof(f5600,plain,
! [X2,X0,X1] : inverse(divide(X0,X1)) = divide(inverse(divide(X2,X1)),divide(X0,X2)),
inference(superposition,[],[f481,f5538]) ).
fof(f5887,plain,
! [X2,X0,X1] : inverse(divide(X0,X1)) = divide(divide(X1,X2),divide(X0,X2)),
inference(forward_demodulation,[],[f5600,f5392]) ).
fof(f6026,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,X2),divide(X0,X2)),
inference(forward_demodulation,[],[f5887,f5392]) ).
fof(f6428,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),inverse(divide(X2,X3))) = divide(X0,inverse(divide(X1,X3))),
inference(superposition,[],[f198,f5444]) ).
fof(f6500,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),inverse(divide(X2,X3))) = divide(X0,divide(X3,X1)),
inference(forward_demodulation,[],[f6428,f5392]) ).
fof(f6641,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X3,X1)) = divide(divide(divide(X0,inverse(X1)),X2),divide(X3,X2)),
inference(forward_demodulation,[],[f6500,f5392]) ).
fof(f6762,plain,
! [X3,X0,X1] : divide(divide(X0,inverse(X1)),X3) = divide(X0,divide(X3,X1)),
inference(forward_demodulation,[],[f6641,f6026]) ).
fof(f8268,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f4,f6762]) ).
fof(f8291,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f8268,f5392]) ).
fof(f8292,plain,
$false,
inference(trivial_inequality_removal,[],[f8291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP474-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 10:05:07 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.60/2.58 % (4173959)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.60/2.58 % (4173977)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3801638045:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.60/2.58 % (4173975)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3780254257:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.60/2.58 % (4173973)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2271411114:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.60/2.58 % (4173974)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=400837254:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.60/2.58 % (4173978)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=746472082:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.60/2.58 % (4173979)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1918047243:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.60/2.58 % (4173977)Instruction limit reached!
% 9.60/2.58 % (4173977)------------------------------
% 9.60/2.58 % (4173977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173977)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173977)Termination reason: Instruction limit
% 9.60/2.58 % (4173977)Termination phase: Saturation
% 9.60/2.58 % (4173977)Time elapsed: 0.047 s
% 9.60/2.58 % (4173977)Peak memory usage: 90 MB
% 9.60/2.58 % (4173977)Instructions burned: 183 (million)
% 9.60/2.58 % (4173976)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2257726541:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.60/2.58 % (4173976)Instruction limit reached!
% 9.60/2.58 % (4173976)------------------------------
% 9.60/2.58 % (4173976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173976)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173976)Termination reason: Instruction limit
% 9.60/2.58 % (4173976)Termination phase: Saturation
% 9.60/2.58 % (4173976)Time elapsed: 0.080 s
% 9.60/2.58 % (4173976)Peak memory usage: 89 MB
% 9.60/2.58 % (4173976)Instructions burned: 137 (million)
% 9.60/2.58 % (4173986)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2237376272:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 9.60/2.58 % (4173978)Instruction limit reached!
% 9.60/2.58 % (4173978)------------------------------
% 9.60/2.58 % (4173978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173978)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173978)Termination reason: Instruction limit
% 9.60/2.58 % (4173978)Termination phase: Saturation
% 9.60/2.58 % (4173978)Time elapsed: 0.151 s
% 9.60/2.58 % (4173978)Peak memory usage: 91 MB
% 9.60/2.58 % (4173978)Instructions burned: 258 (million)
% 9.60/2.58 % (4173988)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3460846855:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.60/2.58 % (4173990)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2397129175:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.60/2.58 % (4173990)Instruction limit reached!
% 9.60/2.58 % (4173990)------------------------------
% 9.60/2.58 % (4173990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173990)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173990)Termination reason: Instruction limit
% 9.60/2.58 % (4173990)Termination phase: Saturation
% 9.60/2.58 % (4173990)Time elapsed: 0.129 s
% 9.60/2.58 % (4173990)Peak memory usage: 89 MB
% 9.60/2.58 % (4173990)Instructions burned: 215 (million)
% 9.60/2.58 % (4173979)Instruction limit reached!
% 9.60/2.58 % (4173979)------------------------------
% 9.60/2.58 % (4173979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173979)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173979)Termination reason: Instruction limit
% 9.60/2.58 % (4173979)Termination phase: Saturation
% 9.60/2.58 % (4173979)Time elapsed: 0.611 s
% 9.60/2.58 % (4173979)Peak memory usage: 98 MB
% 9.60/2.58 % (4173979)Instructions burned: 1188 (million)
% 9.60/2.58 % (4173993)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=757617051:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 9.60/2.58 % (4173994)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2088672418:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.60/2.58 % (4173993)Instruction limit reached!
% 9.60/2.58 % (4173993)------------------------------
% 9.60/2.58 % (4173993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173993)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173993)Termination reason: Instruction limit
% 9.60/2.58 % (4173993)Termination phase: Saturation
% 9.60/2.58 % (4173993)Time elapsed: 0.180 s
% 9.60/2.58 % (4173993)Peak memory usage: 94 MB
% 9.60/2.58 % (4173993)Instructions burned: 317 (million)
% 9.60/2.58 % (4173997)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2652178279:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 9.60/2.58 % (4173974)First to succeed.
% 9.60/2.58 % (4173974)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4173959"
% 9.60/2.58 % (4173986)Instruction limit reached!
% 9.60/2.58 % (4173986)------------------------------
% 9.60/2.58 % (4173986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.58 % (4173986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.58 % (4173986)CaDiCaL version: 2.1.3
% 9.60/2.58 % (4173986)Termination reason: Instruction limit
% 9.60/2.58 % (4173986)Termination phase: Saturation
% 9.60/2.58 % (4173986)Time elapsed: 1.061 s
% 9.60/2.58 % (4173986)Peak memory usage: 141 MB
% 9.60/2.58 % (4173986)Instructions burned: 2051 (million)
% 9.60/2.58 % (4173974)Refutation found. Thanks to Tanya!
% 9.60/2.58 % SZS status Unsatisfiable for theBenchmark
% 9.60/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 10.70/2.77 % (4173974)------------------------------
% 10.70/2.77 % (4173974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.77 % (4173974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.77 % (4173974)CaDiCaL version: 2.1.3
% 10.70/2.77 % (4173974)Termination reason: Refutation
% 10.70/2.77 % (4173974)Time elapsed: 1.068 s
% 10.70/2.77 % (4173974)Peak memory usage: 147 MB
% 10.70/2.77 % (4173974)Instructions burned: 2715 (million)
% 10.70/2.77 % (4173974)------------------------------
% 10.70/2.77 % (4173974)------------------------------
% 10.70/2.77 % (4173959)Success in time 1.393 s
% 10.70/2.77 % Vampire exiting
%------------------------------------------------------------------------------