TSTP Solution File: GRP429-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:08:49 EDT 2024
% Result : Unsatisfiable 12.38s 2.19s
% Output : Refutation 12.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 2
% Syntax : Number of formulae : 176 ( 176 unt; 0 def)
% Number of atoms : 176 ( 175 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 581 ( 581 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67174,plain,
$false,
inference(trivial_inequality_removal,[],[f67017]) ).
fof(f67017,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f35037]) ).
fof(f35037,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f35036,f13903]) ).
fof(f13903,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,X1)) = X1,
inference(forward_demodulation,[],[f13902,f13198]) ).
fof(f13198,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f13197,f12974]) ).
fof(f12974,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f12973,f11007]) ).
fof(f11007,plain,
! [X3,X1,X4] : inverse(inverse(X3)) = multiply(X3,multiply(inverse(inverse(X1)),multiply(inverse(X4),multiply(X4,inverse(X1))))),
inference(forward_demodulation,[],[f10844,f10979]) ).
fof(f10979,plain,
! [X2,X0] : inverse(inverse(X0)) = multiply(X0,multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f10794,f67]) ).
fof(f67,plain,
! [X2,X6,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(X2,X5)))),X6),inverse(multiply(X4,X6)))) = X5,
inference(superposition,[],[f27,f27]) ).
fof(f27,plain,
! [X2,X0,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),multiply(inverse(X0),X2)))),X5),inverse(multiply(X4,X5)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X0)),X2))),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f10794,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(X0)) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(X1,multiply(X2,inverse(X2)))))),X4),inverse(multiply(X3,X4))))),
inference(superposition,[],[f1,f10085]) ).
fof(f10085,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(X1)))),
inference(superposition,[],[f4334,f10022]) ).
fof(f10022,plain,
! [X3,X1] : multiply(X3,inverse(X3)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f9988,f9969]) ).
fof(f9969,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(inverse(inverse(inverse(X2))),X2))),X3),inverse(multiply(inverse(X1),X3)))),
inference(superposition,[],[f316,f5777]) ).
fof(f5777,plain,
! [X2,X0,X1] : multiply(inverse(inverse(inverse(X2))),X2) = multiply(inverse(inverse(inverse(multiply(X1,inverse(X1))))),multiply(X0,inverse(X0))),
inference(superposition,[],[f5123,f5402]) ).
fof(f5402,plain,
! [X2,X4] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X4,inverse(X4))),
inference(superposition,[],[f4388,f1]) ).
fof(f4388,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X0),X2)))),
inference(superposition,[],[f67,f4334]) ).
fof(f5123,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),X1),
inference(forward_demodulation,[],[f5072,f4334]) ).
fof(f5072,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(X2,inverse(X2))))))),
inference(superposition,[],[f103,f4335]) ).
fof(f4335,plain,
! [X3,X4,X5] : multiply(inverse(inverse(X4)),multiply(inverse(X5),multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X4,
inference(forward_demodulation,[],[f4308,f4016]) ).
fof(f4016,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1)))),multiply(X0,X1))) = X3,
inference(superposition,[],[f3981,f98]) ).
fof(f98,plain,
! [X2,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X2),multiply(X2,X4)),
inference(superposition,[],[f83,f27]) ).
fof(f83,plain,
! [X2,X1,X4] : multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f29,f27]) ).
fof(f29,plain,
! [X2,X1,X4,X5] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f3981,plain,
! [X2,X4,X5] : multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(forward_demodulation,[],[f3879,f29]) ).
fof(f3879,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))))),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(superposition,[],[f29,f3638]) ).
fof(f3638,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1) = multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),
inference(superposition,[],[f191,f3557]) ).
fof(f3557,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(forward_demodulation,[],[f3477,f29]) ).
fof(f3477,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X5),multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))),inverse(X3)))) = X1,
inference(superposition,[],[f443,f29]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),multiply(X3,X2)),inverse(multiply(inverse(X4),multiply(multiply(inverse(X0),multiply(X0,X1)),X2)))))) = X1,
inference(superposition,[],[f119,f98]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X3),inverse(multiply(inverse(X0),X3))))) = X1,
inference(superposition,[],[f1,f83]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X4),inverse(multiply(X0,X4)))))),
inference(superposition,[],[f29,f98]) ).
fof(f4308,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(X4)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2)))),multiply(X0,X2))) = multiply(inverse(inverse(X4)),multiply(inverse(X5),multiply(X5,inverse(multiply(X3,inverse(X3)))))),
inference(superposition,[],[f248,f3584]) ).
fof(f3584,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f3557,f98]) ).
fof(f248,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X3),multiply(X3,X1))),
inference(superposition,[],[f161,f98]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f98,f98]) ).
fof(f103,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(inverse(X0),X1))) = multiply(inverse(inverse(inverse(X0))),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f83,f83]) ).
fof(f316,plain,
! [X2,X3,X0,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,multiply(X0,X2)))),X4),inverse(multiply(inverse(X0),X4)))) = X2,
inference(superposition,[],[f27,f161]) ).
fof(f9988,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(inverse(inverse(inverse(X2))),X2))),X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[],[f119,f5777]) ).
fof(f4334,plain,
! [X3,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X5,
inference(forward_demodulation,[],[f4303,f4016]) ).
fof(f4303,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(X5,inverse(multiply(X3,inverse(X3)))))) = multiply(inverse(inverse(X5)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2)))),multiply(X0,X2))),
inference(superposition,[],[f161,f3584]) ).
fof(f10844,plain,
! [X2,X3,X1,X4] : multiply(X3,multiply(inverse(inverse(X1)),multiply(inverse(X4),multiply(X4,inverse(X1))))) = multiply(X3,multiply(X2,inverse(X2))),
inference(superposition,[],[f1389,f10085]) ).
fof(f1389,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(inverse(X4),multiply(X4,multiply(X0,X1)))) = multiply(X3,multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1)))),
inference(superposition,[],[f1187,f98]) ).
fof(f1187,plain,
! [X2,X6,X4,X5] : multiply(X2,multiply(inverse(X4),multiply(X4,X5))) = multiply(X2,multiply(inverse(X6),multiply(X6,X5))),
inference(superposition,[],[f973,f27]) ).
fof(f973,plain,
! [X2,X6,X4,X5] : multiply(inverse(X2),multiply(inverse(X6),multiply(X6,X5))) = multiply(inverse(X2),multiply(inverse(X4),multiply(X4,X5))),
inference(superposition,[],[f248,f27]) ).
fof(f12973,plain,
! [X2,X0,X1,X4] : multiply(X2,multiply(inverse(inverse(X0)),multiply(inverse(X4),multiply(X4,inverse(X0))))) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f12696,f11013]) ).
fof(f11013,plain,
! [X3,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,inverse(inverse(X4)))),
inference(forward_demodulation,[],[f11012,f10979]) ).
fof(f11012,plain,
! [X3,X1,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,multiply(X4,multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f10856,f10979]) ).
fof(f10856,plain,
! [X2,X3,X1,X4] : multiply(inverse(X3),multiply(X3,multiply(X4,multiply(X1,inverse(X1))))) = multiply(inverse(inverse(X4)),multiply(X2,inverse(X2))),
inference(superposition,[],[f161,f10085]) ).
fof(f12696,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(inverse(X0)),multiply(inverse(X4),multiply(X4,inverse(X0))))) = multiply(X2,multiply(inverse(X3),multiply(X3,inverse(inverse(multiply(X1,inverse(X1))))))),
inference(superposition,[],[f1389,f11770]) ).
fof(f11770,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f11434,f10085]) ).
fof(f11434,plain,
! [X2,X4] : inverse(inverse(X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f11170,f27]) ).
fof(f11170,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X0))),
inference(superposition,[],[f10979,f98]) ).
fof(f13197,plain,
! [X2,X0] : inverse(inverse(multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))))) = X2,
inference(forward_demodulation,[],[f12907,f10979]) ).
fof(f12907,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))))))) = X2,
inference(superposition,[],[f11768,f11770]) ).
fof(f11768,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f11434,f4334]) ).
fof(f13902,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,inverse(inverse(inverse(inverse(X1)))))) = X1,
inference(forward_demodulation,[],[f13901,f10979]) ).
fof(f13901,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))))) = X1,
inference(forward_demodulation,[],[f13742,f13774]) ).
fof(f13774,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f13773,f13198]) ).
fof(f13773,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(forward_demodulation,[],[f13597,f13137]) ).
fof(f13137,plain,
! [X2,X3] : inverse(inverse(X2)) = multiply(X2,inverse(multiply(X3,inverse(X3)))),
inference(forward_demodulation,[],[f13136,f12974]) ).
fof(f13136,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(X3,inverse(X3)))) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),
inference(forward_demodulation,[],[f12850,f10979]) ).
fof(f12850,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(X3,inverse(X3)))) = multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))))),
inference(superposition,[],[f4328,f11770]) ).
fof(f4328,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f4205,f3981]) ).
fof(f4205,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f3584,f3557]) ).
fof(f13597,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(X2)))))) = X0,
inference(superposition,[],[f13001,f4328]) ).
fof(f13001,plain,
! [X3,X0] : multiply(X0,inverse(multiply(inverse(X3),X0))) = X3,
inference(forward_demodulation,[],[f13000,f12940]) ).
fof(f12940,plain,
! [X3,X1] : inverse(multiply(inverse(X3),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f12939,f12421]) ).
fof(f12421,plain,
! [X2,X0] : inverse(X2) = multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),inverse(X0)),
inference(forward_demodulation,[],[f12232,f11434]) ).
fof(f12232,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),inverse(X0)),
inference(superposition,[],[f11768,f27]) ).
fof(f12939,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(X3)))),inverse(X0)),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f12669,f11434]) ).
fof(f12669,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X2)),multiply(inverse(X2),X3)))),inverse(X0)),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(superposition,[],[f27,f11770]) ).
fof(f13000,plain,
! [X3,X0,X1] : multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X3),X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(forward_demodulation,[],[f12999,f11720]) ).
fof(f11720,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
inference(superposition,[],[f11434,f11434]) ).
fof(f12999,plain,
! [X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(forward_demodulation,[],[f12719,f11434]) ).
fof(f12719,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(superposition,[],[f119,f11770]) ).
fof(f13742,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))))) = multiply(inverse(multiply(X3,inverse(X3))),X1),
inference(superposition,[],[f5710,f13001]) ).
fof(f5710,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,X3)) = multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X0,inverse(X0)),X3)),
inference(superposition,[],[f98,f5402]) ).
fof(f35036,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,multiply(X1,X2)))) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f35035,f13956]) ).
fof(f13956,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[],[f13788,f13788]) ).
fof(f13788,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f13614,f13198]) ).
fof(f13614,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(inverse(inverse(inverse(X1))))) = X0,
inference(superposition,[],[f13001,f11170]) ).
fof(f35035,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(inverse(multiply(X1,X2)))))),
inference(forward_demodulation,[],[f35034,f14156]) ).
fof(f14156,plain,
! [X3,X1] : multiply(inverse(inverse(X3)),X1) = inverse(inverse(multiply(X3,X1))),
inference(forward_demodulation,[],[f14155,f11434]) ).
fof(f14155,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),X1),
inference(forward_demodulation,[],[f14154,f13956]) ).
fof(f14154,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),inverse(inverse(X1))),
inference(forward_demodulation,[],[f13990,f14143]) ).
fof(f14143,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(forward_demodulation,[],[f13983,f11434]) ).
fof(f13983,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(superposition,[],[f83,f13788]) ).
fof(f13990,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),multiply(inverse(multiply(X0,inverse(X1))),X0)),
inference(superposition,[],[f161,f13788]) ).
fof(f35034,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(X1)),X2)))),
inference(forward_demodulation,[],[f35033,f13956]) ).
fof(f35033,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(inverse(multiply(inverse(inverse(X1)),X2)))))),
inference(forward_demodulation,[],[f35032,f14156]) ).
fof(f35032,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(inverse(inverse(X1)))),X2)))),
inference(forward_demodulation,[],[f35031,f33895]) ).
fof(f33895,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(forward_demodulation,[],[f33894,f29408]) ).
fof(f29408,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X0,X1)),X2),
inference(forward_demodulation,[],[f29407,f15170]) ).
fof(f15170,plain,
! [X2,X3] : multiply(X2,X3) = inverse(multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f15169,f15108]) ).
fof(f15108,plain,
! [X2,X0] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f15107,f13956]) ).
fof(f15107,plain,
! [X2,X0] : inverse(multiply(inverse(X2),X0)) = multiply(inverse(X0),inverse(inverse(X2))),
inference(forward_demodulation,[],[f15106,f11434]) ).
fof(f15106,plain,
! [X2,X3,X0] : multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f14902,f13873]) ).
fof(f13873,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f13872,f13198]) ).
fof(f13872,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X0)))))),
inference(forward_demodulation,[],[f13701,f11070]) ).
fof(f11070,plain,
! [X2,X3,X0] : inverse(inverse(inverse(inverse(inverse(X0))))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(X0))))),
inference(forward_demodulation,[],[f10922,f10979]) ).
fof(f10922,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(X0))))) = multiply(inverse(inverse(inverse(X0))),multiply(X1,inverse(X1))),
inference(superposition,[],[f1507,f10085]) ).
fof(f1507,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X1),multiply(X1,X2)))) = multiply(inverse(X0),multiply(X0,multiply(inverse(X3),multiply(X3,X2)))),
inference(superposition,[],[f98,f1187]) ).
fof(f13701,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(multiply(inverse(X1),X0)))))),
inference(superposition,[],[f1507,f13001]) ).
fof(f14902,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))) = multiply(inverse(X1),multiply(X1,multiply(inverse(X0),X2))),
inference(superposition,[],[f103,f14566]) ).
fof(f14566,plain,
! [X4] : inverse(inverse(X4)) = X4,
inference(forward_demodulation,[],[f14565,f13198]) ).
fof(f14565,plain,
! [X4] : inverse(inverse(inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(forward_demodulation,[],[f14564,f13749]) ).
fof(f13749,plain,
! [X2,X4] : inverse(inverse(inverse(X2))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f13748,f13391]) ).
fof(f13391,plain,
! [X2,X3,X0] : inverse(inverse(inverse(X2))) = multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),X3),inverse(multiply(X0,X3))),
inference(forward_demodulation,[],[f13200,f11434]) ).
fof(f13200,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3))) = inverse(inverse(inverse(X2))),
inference(superposition,[],[f13198,f27]) ).
fof(f13748,plain,
! [X2,X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),X3),inverse(multiply(X0,X3))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f13568,f11434]) ).
fof(f13568,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3))) = multiply(X4,inverse(multiply(X2,X4))),
inference(superposition,[],[f13001,f27]) ).
fof(f14564,plain,
! [X2,X4] : inverse(inverse(inverse(multiply(X2,inverse(multiply(X4,X2)))))) = X4,
inference(forward_demodulation,[],[f14563,f14156]) ).
fof(f14563,plain,
! [X2,X4] : inverse(multiply(inverse(inverse(X2)),inverse(multiply(X4,X2)))) = X4,
inference(forward_demodulation,[],[f14562,f11434]) ).
fof(f14562,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X4,X2)))) = X4,
inference(forward_demodulation,[],[f14561,f13956]) ).
fof(f14561,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(inverse(inverse(multiply(X4,X2)))))) = X4,
inference(forward_demodulation,[],[f14560,f14156]) ).
fof(f14560,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(inverse(X4)),X2)))) = X4,
inference(forward_demodulation,[],[f14559,f11434]) ).
fof(f14559,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),X2)))) = X4,
inference(forward_demodulation,[],[f14342,f13774]) ).
fof(f14342,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(inverse(X3),multiply(X3,X4)),X2))))) = X4,
inference(superposition,[],[f13849,f443]) ).
fof(f13849,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f13649,f13198]) ).
fof(f13649,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(superposition,[],[f13001,f10979]) ).
fof(f15169,plain,
! [X2,X3] : multiply(X2,X3) = inverse(inverse(multiply(inverse(inverse(X2)),X3))),
inference(forward_demodulation,[],[f15168,f13390]) ).
fof(f13390,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(multiply(inverse(inverse(X1)),X2)),
inference(forward_demodulation,[],[f13199,f11619]) ).
fof(f11619,plain,
! [X2,X1,X4,X5] : multiply(inverse(inverse(X1)),X2) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(forward_demodulation,[],[f11433,f51]) ).
fof(f51,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(inverse(X1)),X2) = multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f29,f3]) ).
fof(f11433,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f11170,f3]) ).
fof(f13199,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))))),
inference(superposition,[],[f13198,f3]) ).
fof(f15168,plain,
! [X2,X3,X1,X4] : multiply(X2,X3) = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))),
inference(forward_demodulation,[],[f14947,f14266]) ).
fof(f14266,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(multiply(X1,X2)),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(forward_demodulation,[],[f14035,f13007]) ).
fof(f13007,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(X0,X3)),X0)) = X3,
inference(forward_demodulation,[],[f13006,f11246]) ).
fof(f11246,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f4335,f10979]) ).
fof(f13006,plain,
! [X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X3)),X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f13005,f11720]) ).
fof(f13005,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(inverse(inverse(multiply(X0,X3)))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f12723,f11434]) ).
fof(f12723,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,multiply(X0,X3)))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(superposition,[],[f316,f11770]) ).
fof(f14035,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),X0)),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[],[f316,f13788]) ).
fof(f14947,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),X5),inverse(multiply(inverse(X0),X5))))),
inference(superposition,[],[f3,f14566]) ).
fof(f29407,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(inverse(X2),inverse(inverse(multiply(X0,X1))))),
inference(forward_demodulation,[],[f29406,f15108]) ).
fof(f29406,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),
inference(forward_demodulation,[],[f29405,f13940]) ).
fof(f13940,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(superposition,[],[f13788,f13001]) ).
fof(f29405,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(inverse(multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))))),
inference(forward_demodulation,[],[f29404,f28945]) ).
fof(f28945,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f15071,f15073]) ).
fof(f15073,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f13788,f14566]) ).
fof(f15071,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f13001,f14566]) ).
fof(f29404,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),inverse(X3))),
inference(forward_demodulation,[],[f29403,f13956]) ).
fof(f29403,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),inverse(inverse(inverse(X3))))),
inference(forward_demodulation,[],[f29402,f13749]) ).
fof(f29402,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),multiply(X4,inverse(multiply(X3,X4))))),
inference(forward_demodulation,[],[f29401,f29377]) ).
fof(f29377,plain,
! [X2,X3,X1] : multiply(inverse(X3),multiply(X1,X2)) = multiply(multiply(inverse(X3),X1),X2),
inference(forward_demodulation,[],[f29376,f15108]) ).
fof(f29376,plain,
! [X2,X3,X1] : multiply(multiply(inverse(X3),X1),X2) = inverse(multiply(inverse(multiply(X1,X2)),X3)),
inference(forward_demodulation,[],[f29375,f18573]) ).
fof(f18573,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f18278,f14566]) ).
fof(f18278,plain,
! [X0,X1] : inverse(inverse(inverse(X1))) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f11170,f15073]) ).
fof(f29375,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X3),X1),X2) = inverse(multiply(multiply(inverse(multiply(X0,multiply(X1,X2))),X0),X3)),
inference(forward_demodulation,[],[f29374,f15108]) ).
fof(f29374,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3)) = multiply(multiply(inverse(X3),X1),X2),
inference(forward_demodulation,[],[f29009,f15108]) ).
fof(f29009,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3)) = multiply(inverse(multiply(inverse(X1),X3)),X2),
inference(superposition,[],[f15071,f316]) ).
fof(f29401,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),X4),inverse(multiply(X3,X4)))),
inference(forward_demodulation,[],[f29028,f15108]) ).
fof(f29028,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),X4),inverse(multiply(X3,X4)))) = inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)),
inference(superposition,[],[f15071,f3]) ).
fof(f33894,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(X1),multiply(inverse(X3),multiply(X3,X2)))),
inference(forward_demodulation,[],[f33893,f13956]) ).
fof(f33893,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(X1),inverse(inverse(multiply(inverse(X3),multiply(X3,X2)))))),
inference(forward_demodulation,[],[f33564,f13403]) ).
fof(f13403,plain,
! [X2,X0] : inverse(inverse(multiply(inverse(inverse(X0)),X2))) = multiply(X0,inverse(inverse(X2))),
inference(forward_demodulation,[],[f13402,f11434]) ).
fof(f13402,plain,
! [X2,X3,X0] : multiply(X0,multiply(inverse(X3),multiply(X3,X2))) = inverse(inverse(multiply(inverse(inverse(X0)),X2))),
inference(forward_demodulation,[],[f13224,f11434]) ).
fof(f13224,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X3),multiply(X3,X2))) = multiply(inverse(X1),multiply(X1,multiply(inverse(inverse(X0)),X2))),
inference(superposition,[],[f103,f13198]) ).
fof(f33564,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,inverse(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,X2)))))),
inference(superposition,[],[f13530,f103]) ).
fof(f13530,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))) = X1,
inference(forward_demodulation,[],[f13529,f11720]) ).
fof(f13529,plain,
! [X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f13335,f13137]) ).
fof(f13335,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f4334,f13198]) ).
fof(f35031,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(multiply(X4,inverse(inverse(inverse(X1))))),multiply(X4,X2))))),
inference(forward_demodulation,[],[f35030,f29408]) ).
fof(f35030,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(inverse(inverse(X1)))),multiply(inverse(X4),multiply(X4,X2)))))),
inference(forward_demodulation,[],[f34535,f23887]) ).
fof(f23887,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(X2),X1),inverse(X0))),
inference(forward_demodulation,[],[f23886,f18573]) ).
fof(f23886,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,X2)),X3),X1),inverse(X0))),
inference(forward_demodulation,[],[f23885,f15108]) ).
fof(f23885,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),X1),inverse(X0))),
inference(forward_demodulation,[],[f23884,f13956]) ).
fof(f23884,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),inverse(inverse(X1))),inverse(X0))),
inference(forward_demodulation,[],[f23547,f15108]) ).
fof(f23547,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,X2)))),inverse(X0))),
inference(superposition,[],[f13007,f103]) ).
fof(f34535,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),inverse(inverse(inverse(X1)))),inverse(X0))))),
inference(superposition,[],[f191,f13615]) ).
fof(f13615,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(inverse(inverse(X1)))) = X0,
inference(superposition,[],[f13001,f11434]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:49:22 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (31776)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (31779)WARNING: value z3 for option sas not known
% 0.14/0.38 % (31782)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (31781)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (31778)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (31783)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (31780)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (31779)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (31777)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.21/0.49 TRYING [4]
% 6.85/1.38 TRYING [5]
% 7.78/1.49 TRYING [1]
% 7.78/1.49 TRYING [2]
% 7.78/1.49 TRYING [3]
% 8.07/1.51 TRYING [4]
% 12.38/2.18 % (31783)First to succeed.
% 12.38/2.19 % (31783)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31776"
% 12.38/2.19 % (31783)Refutation found. Thanks to Tanya!
% 12.38/2.19 % SZS status Unsatisfiable for theBenchmark
% 12.38/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 12.38/2.19 % (31783)------------------------------
% 12.38/2.19 % (31783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.38/2.19 % (31783)Termination reason: Refutation
% 12.38/2.19
% 12.38/2.19 % (31783)Memory used [KB]: 22129
% 12.38/2.19 % (31783)Time elapsed: 1.803 s
% 12.38/2.19 % (31783)Instructions burned: 3730 (million)
% 12.38/2.19 % (31776)Success in time 1.81 s
%------------------------------------------------------------------------------