TSTP Solution File: GRP428-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP428-1 : 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 : n013.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 3.12s 0.79s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 2
% Syntax : Number of formulae : 126 ( 126 unt; 0 def)
% Number of atoms : 126 ( 125 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 409 ( 409 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19304,plain,
$false,
inference(trivial_inequality_removal,[],[f19178]) ).
fof(f19178,plain,
a2 != a2,
inference(superposition,[],[f2,f15628]) ).
fof(f15628,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(forward_demodulation,[],[f15627,f14744]) ).
fof(f14744,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f14743,f14333]) ).
fof(f14333,plain,
! [X2,X3,X1] : inverse(multiply(multiply(multiply(inverse(X1),X2),X3),inverse(multiply(X2,X3)))) = X1,
inference(forward_demodulation,[],[f14332,f13035]) ).
fof(f13035,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(X0,X3)),X0)) = X3,
inference(forward_demodulation,[],[f13034,f11274]) ).
fof(f11274,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f4334,f10977]) ).
fof(f10977,plain,
! [X2,X0] : inverse(inverse(X0)) = multiply(X0,multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f10713,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(f10713,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,f10126]) ).
fof(f10126,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(X1)))),
inference(superposition,[],[f4333,f10021]) ).
fof(f10021,plain,
! [X3,X1] : multiply(X3,inverse(X3)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f9987,f9968]) ).
fof(f9968,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,[],[f315,f5776]) ).
fof(f5776,plain,
! [X2,X0,X1] : multiply(inverse(inverse(inverse(X2))),X2) = multiply(inverse(inverse(inverse(multiply(X1,inverse(X1))))),multiply(X0,inverse(X0))),
inference(superposition,[],[f5122,f5401]) ).
fof(f5401,plain,
! [X2,X4] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X4,inverse(X4))),
inference(superposition,[],[f4387,f1]) ).
fof(f4387,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X0),X2)))),
inference(superposition,[],[f67,f4333]) ).
fof(f5122,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),X1),
inference(forward_demodulation,[],[f5071,f4333]) ).
fof(f5071,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,f4334]) ).
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(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(f315,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(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(f98,plain,
! [X2,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X2),multiply(X2,X4)),
inference(superposition,[],[f83,f27]) ).
fof(f9987,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,[],[f118,f5776]) ).
fof(f118,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(f4333,plain,
! [X3,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X5,
inference(forward_demodulation,[],[f4302,f4015]) ).
fof(f4015,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,[],[f3980,f98]) ).
fof(f3980,plain,
! [X2,X4,X5] : multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(forward_demodulation,[],[f3878,f29]) ).
fof(f3878,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,f3637]) ).
fof(f3637,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,[],[f193,f3556]) ).
fof(f3556,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(forward_demodulation,[],[f3476,f29]) ).
fof(f3476,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,[],[f118,f98]) ).
fof(f193,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(f4302,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,f3583]) ).
fof(f3583,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,[],[f3556,f98]) ).
fof(f4334,plain,
! [X3,X4,X5] : multiply(inverse(inverse(X4)),multiply(inverse(X5),multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X4,
inference(forward_demodulation,[],[f4307,f4015]) ).
fof(f4307,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,f3583]) ).
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(f13034,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,[],[f13033,f11807]) ).
fof(f11807,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
inference(superposition,[],[f11521,f11521]) ).
fof(f11521,plain,
! [X2,X4] : inverse(inverse(X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f11252,f27]) ).
fof(f11252,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X0))),
inference(superposition,[],[f10977,f98]) ).
fof(f13033,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,f11521]) ).
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,[],[f315,f11857]) ).
fof(f11857,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f11521,f10126]) ).
fof(f14332,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),X0)),X2),X3),inverse(multiply(X2,X3)))) = X1,
inference(forward_demodulation,[],[f14143,f14048]) ).
fof(f14048,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f14047,f14010]) ).
fof(f14010,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,X1)) = X1,
inference(forward_demodulation,[],[f14009,f13286]) ).
fof(f13286,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f13285,f13103]) ).
fof(f13103,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f13102,f11089]) ).
fof(f11089,plain,
! [X3,X1,X4] : inverse(inverse(X3)) = multiply(X3,multiply(inverse(inverse(X1)),multiply(inverse(X4),multiply(X4,inverse(X1))))),
inference(forward_demodulation,[],[f10843,f10977]) ).
fof(f10843,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,f10126]) ).
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(f13102,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,[],[f12826,f11095]) ).
fof(f11095,plain,
! [X3,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,inverse(inverse(X4)))),
inference(forward_demodulation,[],[f11094,f10977]) ).
fof(f11094,plain,
! [X3,X1,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,multiply(X4,multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f10855,f10977]) ).
fof(f10855,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,f10126]) ).
fof(f12826,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,f11857]) ).
fof(f13285,plain,
! [X2,X0] : inverse(inverse(multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))))) = X2,
inference(forward_demodulation,[],[f12994,f10977]) ).
fof(f12994,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))))))) = X2,
inference(superposition,[],[f11855,f11857]) ).
fof(f11855,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f11521,f4333]) ).
fof(f14009,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,inverse(inverse(inverse(inverse(X1)))))) = X1,
inference(forward_demodulation,[],[f14008,f10977]) ).
fof(f14008,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))))) = X1,
inference(forward_demodulation,[],[f13784,f13862]) ).
fof(f13862,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f13861,f13286]) ).
fof(f13861,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(forward_demodulation,[],[f13685,f13225]) ).
fof(f13225,plain,
! [X2,X3] : inverse(inverse(X2)) = multiply(X2,inverse(multiply(X3,inverse(X3)))),
inference(forward_demodulation,[],[f13224,f13103]) ).
fof(f13224,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(X3,inverse(X3)))) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),
inference(forward_demodulation,[],[f12937,f10977]) ).
fof(f12937,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,[],[f4327,f11857]) ).
fof(f4327,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f4204,f3980]) ).
fof(f4204,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,[],[f3583,f3556]) ).
fof(f13685,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(X2)))))) = X0,
inference(superposition,[],[f13028,f4327]) ).
fof(f13028,plain,
! [X3,X0] : multiply(X0,inverse(multiply(inverse(X3),X0))) = X3,
inference(forward_demodulation,[],[f13027,f11274]) ).
fof(f13027,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,[],[f13026,f11807]) ).
fof(f13026,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,f11521]) ).
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,[],[f118,f11857]) ).
fof(f13784,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,[],[f5709,f13028]) ).
fof(f5709,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,f5401]) ).
fof(f14047,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f14046,f13286]) ).
fof(f14046,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,[],[f13823,f11152]) ).
fof(f11152,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,[],[f10921,f10977]) ).
fof(f10921,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,[],[f1554,f10126]) ).
fof(f1554,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(f13823,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,[],[f1554,f13028]) ).
fof(f14143,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(X0,inverse(X1))),X0))),X3),inverse(multiply(X2,X3)))) = X1,
inference(superposition,[],[f67,f13876]) ).
fof(f13876,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f13702,f13286]) ).
fof(f13702,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(inverse(inverse(inverse(X1))))) = X0,
inference(superposition,[],[f13028,f11252]) ).
fof(f14743,plain,
! [X2,X3,X1] : inverse(inverse(inverse(multiply(multiply(multiply(inverse(X2),X1),X3),inverse(multiply(X1,X3)))))) = X2,
inference(forward_demodulation,[],[f14742,f14350]) ).
fof(f14350,plain,
! [X3,X1] : multiply(inverse(inverse(X3)),X1) = inverse(inverse(multiply(X3,X1))),
inference(forward_demodulation,[],[f14349,f11521]) ).
fof(f14349,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),X1),
inference(forward_demodulation,[],[f14348,f14042]) ).
fof(f14042,plain,
! [X2,X1] : multiply(X2,X1) = multiply(X2,inverse(inverse(X1))),
inference(forward_demodulation,[],[f14041,f11521]) ).
fof(f14041,plain,
! [X2,X3,X1] : multiply(X2,X1) = multiply(X2,multiply(inverse(X3),multiply(X3,X1))),
inference(forward_demodulation,[],[f14040,f13286]) ).
fof(f14040,plain,
! [X2,X3,X1] : multiply(X2,multiply(inverse(X3),multiply(X3,X1))) = multiply(X2,inverse(inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f14039,f13837]) ).
fof(f13837,plain,
! [X2,X4] : inverse(inverse(inverse(X2))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f13836,f13479]) ).
fof(f13479,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,[],[f13288,f11521]) ).
fof(f13288,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,[],[f13286,f27]) ).
fof(f13836,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,[],[f13656,f11521]) ).
fof(f13656,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,[],[f13028,f27]) ).
fof(f14039,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(inverse(X3),multiply(X3,X1))) = multiply(X2,multiply(X0,inverse(multiply(inverse(X1),X0)))),
inference(forward_demodulation,[],[f14038,f13035]) ).
fof(f14038,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(X3),multiply(X3,X1))) = multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X0)))),X4)))),
inference(forward_demodulation,[],[f13821,f14023]) ).
fof(f14023,plain,
! [X3,X0,X1] : multiply(X3,inverse(multiply(inverse(X1),X0))) = multiply(inverse(inverse(X3)),multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f13805,f14010]) ).
fof(f13805,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,inverse(multiply(inverse(X1),X0))))) = multiply(inverse(inverse(X3)),multiply(inverse(X0),X1)),
inference(superposition,[],[f161,f13028]) ).
fof(f13821,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(X3),multiply(X3,X1))) = multiply(X2,multiply(inverse(inverse(X0)),multiply(inverse(X4),multiply(X4,inverse(multiply(inverse(X1),X0)))))),
inference(superposition,[],[f1389,f13028]) ).
fof(f14348,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),inverse(inverse(X1))),
inference(forward_demodulation,[],[f14151,f14334]) ).
fof(f14334,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(forward_demodulation,[],[f14144,f11521]) ).
fof(f14144,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(superposition,[],[f83,f13876]) ).
fof(f14151,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,f13876]) ).
fof(f14742,plain,
! [X2,X3,X1] : inverse(multiply(inverse(inverse(multiply(multiply(inverse(X2),X1),X3))),inverse(multiply(X1,X3)))) = X2,
inference(forward_demodulation,[],[f14741,f14350]) ).
fof(f14741,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(inverse(multiply(inverse(X2),X1))),X3),inverse(multiply(X1,X3)))) = X2,
inference(forward_demodulation,[],[f14740,f14350]) ).
fof(f14740,plain,
! [X2,X3,X1] : inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),X3),inverse(multiply(X1,X3)))) = X2,
inference(forward_demodulation,[],[f14739,f10977]) ).
fof(f14739,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(multiply(inverse(X2),multiply(X0,inverse(X0))),X1),X3),inverse(multiply(X1,X3)))) = X2,
inference(forward_demodulation,[],[f14738,f14048]) ).
fof(f14738,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),X2)),X1),X3),inverse(multiply(X1,X3)))) = X2,
inference(forward_demodulation,[],[f14528,f14048]) ).
fof(f14528,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(X0,inverse(X0))),X2))),X3),inverse(multiply(X1,X3)))) = X2,
inference(superposition,[],[f13937,f1]) ).
fof(f13937,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f13737,f13286]) ).
fof(f13737,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(superposition,[],[f13028,f10977]) ).
fof(f15627,plain,
! [X2,X0] : inverse(inverse(X2)) = multiply(multiply(inverse(X0),X0),X2),
inference(forward_demodulation,[],[f15626,f11521]) ).
fof(f15626,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(multiply(inverse(X0),X0),X2),
inference(forward_demodulation,[],[f15625,f14048]) ).
fof(f15625,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X0),X0)),X2),
inference(forward_demodulation,[],[f15272,f13937]) ).
fof(f15272,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(X3,inverse(X3)),X2)),
inference(superposition,[],[f5709,f14744]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP428-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 20:53:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (11084)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.34 % (11088)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.34 % (11089)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)
% 0.13/0.34 TRYING [1]
% 0.13/0.34 TRYING [2]
% 0.13/0.34 TRYING [3]
% 0.13/0.35 % (11090)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)
% 0.13/0.35 % (11087)WARNING: value z3 for option sas not known
% 0.13/0.35 % (11085)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (11086)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (11087)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)
% 0.13/0.35 % (11091)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)
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [4]
% 0.13/0.36 TRYING [3]
% 0.19/0.46 TRYING [4]
% 1.55/0.61 TRYING [5]
% 3.12/0.78 % (11091)First to succeed.
% 3.12/0.78 % (11091)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11084"
% 3.12/0.79 % (11091)Refutation found. Thanks to Tanya!
% 3.12/0.79 % SZS status Unsatisfiable for theBenchmark
% 3.12/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.12/0.79 % (11091)------------------------------
% 3.12/0.79 % (11091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.12/0.79 % (11091)Termination reason: Refutation
% 3.12/0.79
% 3.12/0.79 % (11091)Memory used [KB]: 10131
% 3.12/0.79 % (11091)Time elapsed: 0.435 s
% 3.12/0.79 % (11091)Instructions burned: 1272 (million)
% 3.12/0.79 % (11084)Success in time 0.438 s
%------------------------------------------------------------------------------