TSTP Solution File: GRP444-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP444-1 : 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 : n003.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 : Tue Apr 30 12:07:00 EDT 2024
% Result : Unsatisfiable 23.15s 3.64s
% Output : Refutation 23.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 2
% Syntax : Number of formulae : 106 ( 106 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 15 ( 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 : 433 ( 433 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114088,plain,
$false,
inference(trivial_inequality_removal,[],[f113799]) ).
fof(f113799,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f44838]) ).
fof(f44838,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f44837,f26881]) ).
fof(f26881,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f26880,f23411]) ).
fof(f23411,plain,
! [X2,X3] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X2,X3)))))),inverse(inverse(inverse(inverse(X2)))))))))) = X3,
inference(forward_demodulation,[],[f23410,f22701]) ).
fof(f22701,plain,
! [X2,X1] : multiply(multiply(X2,inverse(X2)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[],[f22481,f20443]) ).
fof(f20443,plain,
! [X2,X3,X0,X1,X4] : inverse(X1) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X0),multiply(multiply(multiply(X3,inverse(X3)),inverse(X0)),multiply(multiply(X4,inverse(X4)),X1)))),
inference(superposition,[],[f7,f19907]) ).
fof(f19907,plain,
! [X3,X4] : inverse(multiply(inverse(X3),multiply(X4,inverse(X4)))) = X3,
inference(forward_demodulation,[],[f19855,f18554]) ).
fof(f18554,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(multiply(X1,inverse(X1))))))),multiply(X4,X2)))),
inference(superposition,[],[f3703,f17959]) ).
fof(f17959,plain,
! [X2,X3] : inverse(inverse(multiply(X2,inverse(X2)))) = inverse(inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f16917,f16936]) ).
fof(f16936,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))))),
inference(superposition,[],[f565,f16695]) ).
fof(f16695,plain,
! [X3,X4,X5] : inverse(multiply(inverse(X4),multiply(inverse(multiply(X3,inverse(X3))),multiply(X5,inverse(X5))))) = X4,
inference(forward_demodulation,[],[f16553,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f16553,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1)))))))),multiply(X5,inverse(X5))))) = X4,
inference(superposition,[],[f3,f6490]) ).
fof(f6490,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(X3)) = multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))))),
inference(superposition,[],[f3438,f5938]) ).
fof(f5938,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X0))))),
inference(superposition,[],[f5573,f3438]) ).
fof(f5573,plain,
! [X0,X1,X4] : inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(X4,multiply(inverse(X4),X1))),
inference(forward_demodulation,[],[f5440,f81]) ).
fof(f81,plain,
! [X2,X3,X1,X6] : multiply(multiply(X6,inverse(X6)),inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2)))) = X3,
inference(superposition,[],[f8,f7]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X2),multiply(multiply(multiply(X5,inverse(X5)),X3),multiply(multiply(X6,inverse(X6)),X0)))),
inference(superposition,[],[f4,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))),multiply(multiply(X4,inverse(X4)),X3)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f5440,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(X4,multiply(inverse(X4),multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X2,multiply(X3,X1))),multiply(X2,X3))))))),
inference(superposition,[],[f3696,f608]) ).
fof(f608,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2))) = inverse(multiply(inverse(multiply(X4,multiply(X5,X3))),multiply(X4,X5))),
inference(superposition,[],[f565,f81]) ).
fof(f3696,plain,
! [X0,X6,X4,X5] : inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(X4,inverse(X4)))))))) = X6,
inference(forward_demodulation,[],[f3504,f1]) ).
fof(f3504,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2))))))))))))) = X6,
inference(superposition,[],[f1,f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = inverse(multiply(X1,multiply(X2,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X1,X2))))))),
inference(superposition,[],[f1,f143]) ).
fof(f143,plain,
! [X2,X4,X5] : multiply(multiply(X4,inverse(X4)),X2) = multiply(multiply(X5,inverse(X5)),X2),
inference(forward_demodulation,[],[f120,f1]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X4,inverse(X4)),X2) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X3,multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))))))),
inference(superposition,[],[f81,f4]) ).
fof(f3438,plain,
! [X4,X5] : multiply(X4,inverse(X4)) = multiply(X5,inverse(X5)),
inference(superposition,[],[f204,f204]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3),inverse(multiply(X6,multiply(X4,X5))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f565,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1)))),multiply(X2,X3))) = X1,
inference(superposition,[],[f1,f83]) ).
fof(f83,plain,
! [X3,X0,X1,X6,X4] : multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X0,inverse(X0)),X1)))),X3)))) = X4,
inference(superposition,[],[f8,f4]) ).
fof(f16917,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X2,inverse(X2)))) = inverse(inverse(multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))))),
inference(superposition,[],[f16695,f9194]) ).
fof(f9194,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(multiply(X0,multiply(inverse(X0),X1))))),multiply(X1,multiply(multiply(X2,inverse(X2)),X3))) = X3,
inference(superposition,[],[f8926,f565]) ).
fof(f8926,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2))) = X3,
inference(superposition,[],[f6026,f3702]) ).
fof(f3702,plain,
! [X0,X6,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X6))),multiply(X4,inverse(X4))))) = X6,
inference(forward_demodulation,[],[f3510,f1]) ).
fof(f3510,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X6))),inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2)))))))))) = X6,
inference(superposition,[],[f81,f204]) ).
fof(f6026,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(inverse(X2),X1))))))) = X0,
inference(superposition,[],[f1,f5573]) ).
fof(f3703,plain,
! [X0,X6,X4,X5] : inverse(X0) = multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X6,multiply(X4,inverse(X4)))),multiply(X6,X0)))),
inference(forward_demodulation,[],[f3511,f1]) ).
fof(f3511,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(X0) = multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X6,inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2))))))))),multiply(X6,X0)))),
inference(superposition,[],[f81,f204]) ).
fof(f19855,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(X3),multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2))))))),multiply(X0,X4))))))) = X3,
inference(superposition,[],[f6026,f19480]) ).
fof(f19480,plain,
! [X2,X1,X5] : inverse(inverse(multiply(X5,multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2)))))))) = X5,
inference(forward_demodulation,[],[f19290,f16925]) ).
fof(f16925,plain,
! [X2,X0,X1,X4] : multiply(multiply(X4,inverse(X4)),multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X1,inverse(X1)),X2))) = X2,
inference(superposition,[],[f203,f16695]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(multiply(X2,inverse(X2)),X1))),multiply(X4,multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f81,f143]) ).
fof(f19290,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(X3,inverse(X3)),multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(multiply(X2,inverse(X2))))))))))) = X5,
inference(superposition,[],[f196,f18546]) ).
fof(f18546,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f3438,f17959]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(multiply(X2,inverse(X2)),X1))))))) = X4,
inference(superposition,[],[f1,f143]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))),multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(multiply(X5,inverse(X5)),X0)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f22481,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2)),X1) = inverse(multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(multiply(X4,inverse(X4)),inverse(X0)),multiply(multiply(X5,inverse(X5)),inverse(inverse(inverse(X1))))))),
inference(superposition,[],[f8,f20403]) ).
fof(f20403,plain,
! [X2,X0] : inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(inverse(X0)))))) = X0,
inference(superposition,[],[f19907,f5938]) ).
fof(f23410,plain,
! [X2,X3,X1] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(X1,inverse(X1)),multiply(X2,X3))),inverse(inverse(inverse(inverse(X2)))))))))) = X3,
inference(forward_demodulation,[],[f22953,f22701]) ).
fof(f22953,plain,
! [X2,X3,X1,X4] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(multiply(X1,inverse(X1)),multiply(X2,X3))),multiply(multiply(X4,inverse(X4)),X2))))))) = X3,
inference(superposition,[],[f22701,f202]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,X4))),multiply(multiply(X2,inverse(X2)),X1)))) = X4,
inference(superposition,[],[f81,f143]) ).
fof(f26880,plain,
! [X3,X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X3,X0)))))),inverse(inverse(inverse(inverse(X3)))))))))),
inference(forward_demodulation,[],[f26879,f22701]) ).
fof(f26879,plain,
! [X2,X3,X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),inverse(inverse(inverse(inverse(X3)))))))))),
inference(forward_demodulation,[],[f26878,f22701]) ).
fof(f26878,plain,
! [X2,X3,X0,X4] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),multiply(multiply(X4,inverse(X4)),X3))))))),
inference(forward_demodulation,[],[f26639,f22701]) ).
fof(f26639,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(X0)) = inverse(multiply(multiply(X1,inverse(X1)),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),multiply(multiply(X4,inverse(X4)),X3)))),
inference(superposition,[],[f4,f26273]) ).
fof(f26273,plain,
! [X0,X4] : multiply(inverse(inverse(X0)),multiply(X4,inverse(X4))) = X0,
inference(forward_demodulation,[],[f25948,f1]) ).
fof(f25948,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(X0)),inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2)))))))) = X0,
inference(superposition,[],[f25432,f204]) ).
fof(f25432,plain,
! [X3,X4] : multiply(X3,multiply(inverse(X3),inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(forward_demodulation,[],[f25431,f23322]) ).
fof(f23322,plain,
! [X2,X3] : multiply(inverse(inverse(multiply(X2,inverse(X2)))),X3) = inverse(inverse(inverse(inverse(X3)))),
inference(forward_demodulation,[],[f22857,f20428]) ).
fof(f20428,plain,
! [X2,X3,X0] : inverse(X2) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,multiply(inverse(X0),X2)))),
inference(superposition,[],[f3703,f19907]) ).
fof(f22857,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))))),X3) = inverse(inverse(inverse(inverse(X3)))),
inference(superposition,[],[f22701,f16936]) ).
fof(f25431,plain,
! [X2,X3,X4] : multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(multiply(X2,inverse(X2)))),X4))) = X4,
inference(forward_demodulation,[],[f25027,f20428]) ).
fof(f25027,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(inverse(X3),multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))))),X4))) = X4,
inference(superposition,[],[f20401,f16936]) ).
fof(f20401,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),X2))) = X2,
inference(superposition,[],[f19907,f3708]) ).
fof(f3708,plain,
! [X0,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X5,inverse(X5)),X6)))),multiply(X4,inverse(X4)))) = X6,
inference(forward_demodulation,[],[f3517,f1]) ).
fof(f3517,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X5,inverse(X5)),X6)))),inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2))))))))) = X6,
inference(superposition,[],[f565,f204]) ).
fof(f44837,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),X3) = inverse(inverse(multiply(X0,multiply(X1,X3)))),
inference(forward_demodulation,[],[f44836,f26881]) ).
fof(f44836,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),X3) = inverse(inverse(multiply(X0,multiply(X1,inverse(inverse(X3)))))),
inference(forward_demodulation,[],[f44835,f26881]) ).
fof(f44835,plain,
! [X3,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(inverse(inverse(inverse(X3)))))))) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f44510,f22701]) ).
fof(f44510,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),X3))))) = multiply(multiply(X0,X1),X3),
inference(superposition,[],[f35769,f565]) ).
fof(f35769,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f35768,f26881]) ).
fof(f35768,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(inverse(inverse(multiply(X0,X1))))),
inference(forward_demodulation,[],[f35767,f26881]) ).
fof(f35767,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(inverse(inverse(inverse(inverse(multiply(X0,X1))))))),
inference(forward_demodulation,[],[f35766,f22701]) ).
fof(f35766,plain,
! [X3,X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1)))),
inference(forward_demodulation,[],[f35765,f26922]) ).
fof(f26922,plain,
! [X2,X3,X0] : inverse(multiply(X3,X0)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),
inference(forward_demodulation,[],[f26921,f26881]) ).
fof(f26921,plain,
! [X2,X3,X0] : inverse(multiply(inverse(inverse(X3)),X0)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),
inference(forward_demodulation,[],[f26920,f26881]) ).
fof(f26920,plain,
! [X2,X3,X0] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(inverse(inverse(inverse(inverse(X3)))),X0)),
inference(forward_demodulation,[],[f26919,f22701]) ).
fof(f26919,plain,
! [X2,X3,X0,X4] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),X0)),
inference(forward_demodulation,[],[f26918,f26881]) ).
fof(f26918,plain,
! [X2,X3,X0,X4] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),inverse(inverse(X0)))),
inference(forward_demodulation,[],[f26917,f26881]) ).
fof(f26917,plain,
! [X2,X3,X0,X4] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),inverse(inverse(inverse(inverse(X0)))))),
inference(forward_demodulation,[],[f26916,f26273]) ).
fof(f26916,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(inverse(inverse(inverse(inverse(inverse(inverse(X0)))))),multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f26915,f22701]) ).
fof(f26915,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(X0))),multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f26914,f26881]) ).
fof(f26914,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(X0))),inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f26913,f26881]) ).
fof(f26913,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(X0))),inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))))),
inference(forward_demodulation,[],[f26643,f22701]) ).
fof(f26643,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))) = inverse(multiply(multiply(multiply(X4,inverse(X4)),X3),multiply(multiply(multiply(X5,inverse(X5)),inverse(inverse(X0))),multiply(multiply(X6,inverse(X6)),multiply(X1,inverse(X1)))))),
inference(superposition,[],[f8,f26273]) ).
fof(f35765,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1))))),
inference(forward_demodulation,[],[f35764,f26881]) ).
fof(f35764,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1))))) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f35763,f26881]) ).
fof(f35763,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1))))) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(forward_demodulation,[],[f35269,f22701]) ).
fof(f35269,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1))))) = inverse(multiply(multiply(X4,inverse(X4)),X0)),
inference(superposition,[],[f26902,f204]) ).
fof(f26902,plain,
! [X0,X6] : inverse(multiply(inverse(multiply(X6,X0)),X6)) = X0,
inference(forward_demodulation,[],[f26901,f26881]) ).
fof(f26901,plain,
! [X0,X6] : inverse(inverse(X0)) = inverse(multiply(inverse(multiply(X6,X0)),X6)),
inference(forward_demodulation,[],[f26900,f26881]) ).
fof(f26900,plain,
! [X0,X6] : inverse(inverse(X0)) = inverse(multiply(inverse(inverse(inverse(multiply(X6,X0)))),X6)),
inference(forward_demodulation,[],[f26899,f26881]) ).
fof(f26899,plain,
! [X0,X6] : inverse(inverse(X0)) = inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X6,X0)))))),X6)),
inference(forward_demodulation,[],[f26898,f23351]) ).
fof(f23351,plain,
! [X3,X0,X1,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(multiply(multiply(X0,multiply(X1,inverse(inverse(inverse(inverse(inverse(multiply(X3,multiply(X0,X1))))))))),X3),X4),
inference(forward_demodulation,[],[f22891,f22701]) ).
fof(f22891,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3),X4) = inverse(inverse(inverse(inverse(X4)))),
inference(superposition,[],[f22701,f1]) ).
fof(f26898,plain,
! [X2,X3,X0,X6,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,inverse(inverse(inverse(inverse(inverse(multiply(X5,multiply(X2,X3))))))))),X5),inverse(multiply(X6,X0))),X6)),
inference(forward_demodulation,[],[f26897,f22701]) ).
fof(f26897,plain,
! [X2,X3,X0,X6,X4,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),X6)),
inference(forward_demodulation,[],[f26896,f26881]) ).
fof(f26896,plain,
! [X2,X3,X0,X6,X4,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),inverse(inverse(X6)))),
inference(forward_demodulation,[],[f26895,f26881]) ).
fof(f26895,plain,
! [X2,X3,X0,X6,X4,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),inverse(inverse(inverse(inverse(X6)))))),
inference(forward_demodulation,[],[f26894,f22701]) ).
fof(f26894,plain,
! [X2,X3,X0,X6,X7,X4,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),multiply(multiply(X7,inverse(X7)),X6))),
inference(forward_demodulation,[],[f26893,f26881]) ).
fof(f26893,plain,
! [X2,X3,X0,X6,X7,X4,X5] : inverse(inverse(X0)) = inverse(inverse(inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),multiply(multiply(X7,inverse(X7)),X6))))),
inference(forward_demodulation,[],[f26892,f26881]) ).
fof(f26892,plain,
! [X2,X3,X0,X6,X7,X4,X5] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),multiply(multiply(X7,inverse(X7)),X6))))))),
inference(forward_demodulation,[],[f26641,f22701]) ).
fof(f26641,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(inverse(X0)) = inverse(multiply(multiply(X1,inverse(X1)),multiply(multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,X0))),multiply(multiply(X7,inverse(X7)),X6)))),
inference(superposition,[],[f5,f26273]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(X4,multiply(multiply(multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3),inverse(multiply(X5,multiply(X6,X4)))),multiply(multiply(X7,inverse(X7)),X5)))) = X6,
inference(superposition,[],[f4,f1]) ).
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
% 0.03/0.12 % Problem : GRP444-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:37:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (32527)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37 % (32530)WARNING: value z3 for option sas not known
% 0.19/0.37 % (32530)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)
% 0.19/0.37 % (32531)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (32533)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)
% 0.19/0.37 % (32529)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (32532)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)
% 0.19/0.37 % (32534)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)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 % (32528)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.38 TRYING [3]
% 0.19/0.38 TRYING [4]
% 0.19/0.43 TRYING [4]
% 2.98/0.79 TRYING [5]
% 7.73/1.47 TRYING [1]
% 7.73/1.47 TRYING [2]
% 7.73/1.47 TRYING [3]
% 7.96/1.48 TRYING [4]
% 12.18/2.09 TRYING [5]
% 22.76/3.62 % (32534)First to succeed.
% 23.15/3.64 % (32534)Refutation found. Thanks to Tanya!
% 23.15/3.64 % SZS status Unsatisfiable for theBenchmark
% 23.15/3.64 % SZS output start Proof for theBenchmark
% See solution above
% 23.15/3.64 % (32534)------------------------------
% 23.15/3.64 % (32534)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 23.15/3.64 % (32534)Termination reason: Refutation
% 23.15/3.64
% 23.15/3.64 % (32534)Memory used [KB]: 38890
% 23.15/3.64 % (32534)Time elapsed: 3.262 s
% 23.15/3.64 % (32534)Instructions burned: 6663 (million)
% 23.15/3.64 % (32534)------------------------------
% 23.15/3.64 % (32534)------------------------------
% 23.15/3.64 % (32527)Success in time 3.274 s
%------------------------------------------------------------------------------