TSTP Solution File: GRP438-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP438-1 : 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 : n024.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 06:08:51 EDT 2024
% Result : Unsatisfiable 27.25s 4.28s
% Output : Refutation 27.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 2
% Syntax : Number of formulae : 295 ( 295 unt; 0 def)
% Number of atoms : 295 ( 294 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 14 ( 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 : 1210 (1210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153082,plain,
$false,
inference(trivial_inequality_removal,[],[f152687]) ).
fof(f152687,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f76376]) ).
fof(f76376,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f76375,f44387]) ).
fof(f44387,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f44386,f41894]) ).
fof(f41894,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(superposition,[],[f41837,f18384]) ).
fof(f18384,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(X0))),inverse(X1))) = X1,
inference(forward_demodulation,[],[f18316,f11239]) ).
fof(f11239,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = X3,
inference(forward_demodulation,[],[f11066,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f11066,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = multiply(X6,inverse(multiply(multiply(X4,inverse(X5)),multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X3,multiply(X4,inverse(X5))))),X6))))),
inference(superposition,[],[f1,f10731]) ).
fof(f10731,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1),multiply(X4,inverse(X5))),
inference(forward_demodulation,[],[f10462,f62]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,multiply(X2,inverse(X0))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4)))))),inverse(X0))),
inference(superposition,[],[f37,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0))),multiply(X0,multiply(X3,X4))))) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f37,plain,
! [X2,X3,X1,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[],[f8,f4]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0))) = multiply(X4,inverse(multiply(multiply(X0,multiply(X3,inverse(X5))),multiply(X5,multiply(X1,X4))))),
inference(superposition,[],[f4,f1]) ).
fof(f10462,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X4,X7))),inverse(X3)))))),inverse(X5))) = multiply(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1),multiply(X4,inverse(X5))),
inference(superposition,[],[f62,f1444]) ).
fof(f1444,plain,
! [X2,X3,X1,X4] : inverse(X3) = inverse(multiply(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X4))))),X1)),
inference(superposition,[],[f1397,f117]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))) = multiply(X4,inverse(multiply(X2,multiply(X0,multiply(X3,X4))))),
inference(superposition,[],[f1,f91]) ).
fof(f91,plain,
! [X2,X3,X1,X4] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X1,multiply(X2,inverse(X3)))))),X4))) = X2,
inference(superposition,[],[f41,f1]) ).
fof(f41,plain,
! [X2,X3,X1,X4,X5] : multiply(inverse(X3),inverse(multiply(X2,multiply(X4,inverse(multiply(multiply(X3,multiply(X1,inverse(X5))),multiply(X5,multiply(X2,X4)))))))) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f1397,plain,
! [X2,X3,X1,X4] : inverse(X4) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X1)))))),X2)),
inference(forward_demodulation,[],[f1373,f4]) ).
fof(f1373,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X1)))))),X2)) = multiply(X5,inverse(multiply(multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(inverse(X0),inverse(X4)))),inverse(X7))),multiply(X7,multiply(inverse(X0),X5))))),
inference(superposition,[],[f4,f579]) ).
fof(f579,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),inverse(X1)) = multiply(inverse(X0),inverse(multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X2)))))),X4))),
inference(superposition,[],[f91,f425]) ).
fof(f425,plain,
! [X3,X6,X4,X5] : multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),inverse(X5))) = multiply(X6,multiply(multiply(inverse(X6),inverse(X3)),inverse(X5))),
inference(superposition,[],[f38,f1]) ).
fof(f38,plain,
! [X2,X1,X6,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X2,X4))),inverse(X1))),
inference(superposition,[],[f8,f8]) ).
fof(f18316,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X1)),X2))))),X3) = inverse(multiply(inverse(multiply(X0,inverse(X0))),inverse(X1))),
inference(superposition,[],[f11239,f18055]) ).
fof(f18055,plain,
! [X0,X1] : inverse(X1) = inverse(inverse(multiply(inverse(multiply(X0,inverse(X0))),inverse(X1)))),
inference(forward_demodulation,[],[f17525,f16489]) ).
fof(f16489,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(X2,inverse(multiply(X3,multiply(multiply(X0,inverse(X0)),multiply(X1,X2))))),X3),
inference(superposition,[],[f11239,f16388]) ).
fof(f16388,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(X1))) = X1,
inference(forward_demodulation,[],[f16345,f12646]) ).
fof(f12646,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(X3,multiply(X4,inverse(multiply(multiply(X2,multiply(X1,inverse(X1))),multiply(X0,multiply(X3,X4)))))))) = X0,
inference(superposition,[],[f41,f12572]) ).
fof(f12572,plain,
! [X0,X4] : multiply(X0,inverse(X0)) = multiply(X4,inverse(X4)),
inference(forward_demodulation,[],[f12438,f11467]) ).
fof(f11467,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X0))),multiply(X0,X3)))) = X1,
inference(superposition,[],[f1,f11239]) ).
fof(f12438,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X4,multiply(inverse(X4),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2))))),
inference(superposition,[],[f11665,f11467]) ).
fof(f11665,plain,
! [X1,X4,X5] : multiply(X1,multiply(inverse(X1),inverse(X4))) = multiply(X5,multiply(inverse(X5),inverse(X4))),
inference(forward_demodulation,[],[f11470,f11467]) ).
fof(f11470,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(X1),inverse(X4))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X0))),multiply(X0,X3)))),inverse(X4))),
inference(superposition,[],[f62,f11239]) ).
fof(f16345,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(X1))) = multiply(inverse(X3),inverse(multiply(X4,multiply(X5,inverse(multiply(multiply(X3,multiply(X2,inverse(X2))),multiply(X1,multiply(X4,X5)))))))),
inference(superposition,[],[f41,f15055]) ).
fof(f15055,plain,
! [X2,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(X2)),X2),
inference(superposition,[],[f14410,f12572]) ).
fof(f14410,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),inverse(X2)),X2) = multiply(multiply(X1,inverse(X1)),inverse(X0)),
inference(superposition,[],[f14351,f12572]) ).
fof(f14351,plain,
! [X0,X1,X4] : multiply(multiply(inverse(X0),inverse(X1)),X1) = multiply(multiply(inverse(X0),inverse(X4)),X4),
inference(forward_demodulation,[],[f14139,f13978]) ).
fof(f13978,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),inverse(X1)) = multiply(X3,inverse(multiply(X1,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X0),inverse(X2)),X2))),X3))))),
inference(superposition,[],[f1,f12556]) ).
fof(f12556,plain,
! [X0,X4,X5] : inverse(multiply(multiply(inverse(X4),inverse(X0)),X0)) = inverse(multiply(multiply(inverse(X4),inverse(X5)),X5)),
inference(forward_demodulation,[],[f12378,f11467]) ).
fof(f12378,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(X4),inverse(multiply(X5,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2)))))),X5)) = inverse(multiply(multiply(inverse(X4),inverse(X0)),X0)),
inference(superposition,[],[f1514,f11467]) ).
fof(f1514,plain,
! [X2,X3,X1,X6] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X6,X3))),X6)),
inference(forward_demodulation,[],[f1414,f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),inverse(multiply(X4,X3))) = multiply(X5,inverse(multiply(X4,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),X5))))),
inference(superposition,[],[f117,f37]) ).
fof(f1414,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X5),inverse(multiply(X6,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4))),inverse(X5)))))),X6)),
inference(superposition,[],[f1397,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))) = multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4))),
inference(superposition,[],[f91,f37]) ).
fof(f14139,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),inverse(X1)),X1) = multiply(multiply(X3,inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X0),inverse(X2)),X2))),X3))))),X4),
inference(superposition,[],[f11239,f12556]) ).
fof(f17525,plain,
! [X2,X3,X0,X1,X4] : inverse(X1) = inverse(multiply(multiply(inverse(X2),inverse(multiply(X4,multiply(multiply(X3,inverse(X3)),multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(X1)),inverse(X2)))))),X4)),
inference(superposition,[],[f1397,f16640]) ).
fof(f16640,plain,
! [X2,X3,X0] : multiply(multiply(X2,inverse(X2)),X0) = multiply(multiply(X3,inverse(X3)),X0),
inference(superposition,[],[f16469,f16469]) ).
fof(f16469,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,inverse(X2))) = multiply(multiply(X0,inverse(X0)),X1),
inference(superposition,[],[f12734,f16388]) ).
fof(f12734,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
inference(superposition,[],[f11665,f12572]) ).
fof(f41837,plain,
! [X2,X1] : inverse(X1) = multiply(inverse(X1),multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f41739,f39110]) ).
fof(f39110,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f38960,f11239]) ).
fof(f38960,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X0)),X2))))),X3) = multiply(X0,inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f11239,f38550]) ).
fof(f38550,plain,
! [X2,X4] : inverse(X2) = inverse(multiply(X2,inverse(multiply(X4,inverse(X4))))),
inference(forward_demodulation,[],[f37832,f22804]) ).
fof(f22804,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,X1) = multiply(multiply(X0,inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),multiply(X4,inverse(X4))),
inference(superposition,[],[f21324,f11239]) ).
fof(f21324,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(multiply(X0,inverse(X2)),X2),
inference(superposition,[],[f18660,f16469]) ).
fof(f18660,plain,
! [X2,X3,X1] : multiply(multiply(X1,inverse(X2)),X2) = multiply(multiply(X1,inverse(X3)),X3),
inference(superposition,[],[f14351,f18384]) ).
fof(f37832,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = inverse(multiply(multiply(X3,inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),X3))))),multiply(X0,inverse(X0)))),
inference(superposition,[],[f1444,f27386]) ).
fof(f27386,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X2)),X0) = multiply(inverse(inverse(multiply(X1,inverse(X1)))),X0),
inference(superposition,[],[f18664,f27055]) ).
fof(f27055,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(superposition,[],[f18679,f16693]) ).
fof(f16693,plain,
! [X2,X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(multiply(X0,inverse(X0))),multiply(X2,inverse(X2))),
inference(superposition,[],[f16469,f15055]) ).
fof(f18679,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(multiply(X2,inverse(X2))),X1))) = X1,
inference(superposition,[],[f18055,f18384]) ).
fof(f18664,plain,
! [X2,X3,X1] : multiply(multiply(X3,inverse(X3)),X1) = multiply(multiply(X1,inverse(X2)),X2),
inference(superposition,[],[f14410,f18384]) ).
fof(f41739,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f18384,f39465]) ).
fof(f39465,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(X1),multiply(X0,multiply(inverse(X0),X2))))) = X1,
inference(superposition,[],[f1,f39110]) ).
fof(f44386,plain,
! [X0,X1] : inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f43795,f43465]) ).
fof(f43465,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X2),X0)) = X0,
inference(forward_demodulation,[],[f43464,f39110]) ).
fof(f43464,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),multiply(X0,inverse(multiply(X1,inverse(X1)))))) = X0,
inference(forward_demodulation,[],[f43073,f43447]) ).
fof(f43447,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[],[f43030,f42389]) ).
fof(f42389,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f41894,f22710]) ).
fof(f22710,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(X1),inverse(inverse(X0)))) = multiply(multiply(X0,inverse(X2)),X2),
inference(superposition,[],[f21324,f11665]) ).
fof(f43030,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(multiply(multiply(X0,inverse(X2)),X2),X1),
inference(superposition,[],[f42389,f18660]) ).
fof(f43073,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X0,inverse(multiply(X1,inverse(X1)))))))) = X0,
inference(superposition,[],[f42389,f12734]) ).
fof(f43795,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),multiply(X2,multiply(inverse(X2),multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f42390,f39465]) ).
fof(f42390,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f41894,f16491]) ).
fof(f16491,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = multiply(multiply(X0,inverse(X0)),X1),
inference(superposition,[],[f11665,f16388]) ).
fof(f76375,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),X0) = inverse(inverse(multiply(X2,multiply(X1,X0)))),
inference(forward_demodulation,[],[f76374,f44395]) ).
fof(f44395,plain,
! [X2,X3,X1] : inverse(multiply(X3,multiply(X1,X2))) = multiply(inverse(multiply(X1,X2)),inverse(X3)),
inference(forward_demodulation,[],[f44394,f42757]) ).
fof(f42757,plain,
! [X2,X3,X0,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))) = inverse(multiply(X4,multiply(X3,X0))),
inference(forward_demodulation,[],[f42756,f42003]) ).
fof(f42003,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(X1)),inverse(X0)),
inference(superposition,[],[f41837,f16491]) ).
fof(f42756,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X4,multiply(X3,X0)))),
inference(forward_demodulation,[],[f42535,f42478]) ).
fof(f42478,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,X2))) = inverse(multiply(multiply(X0,multiply(X1,inverse(X3))),multiply(X3,X2))),
inference(superposition,[],[f8887,f41894]) ).
fof(f8887,plain,
! [X3,X6,X7,X4,X5] : inverse(multiply(multiply(X4,multiply(X5,inverse(X6))),multiply(X6,X3))) = inverse(multiply(multiply(X4,multiply(X5,inverse(X7))),multiply(X7,X3))),
inference(superposition,[],[f1934,f1]) ).
fof(f1934,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X5,inverse(X1))))) = inverse(multiply(multiply(X2,multiply(X3,inverse(X0))),multiply(X0,multiply(X5,inverse(X1))))),
inference(superposition,[],[f1453,f40]) ).
fof(f40,plain,
! [X2,X3,X1,X6,X4,X5] : multiply(X6,inverse(multiply(multiply(X4,inverse(multiply(multiply(X3,multiply(X1,inverse(X5))),multiply(X5,multiply(X2,X4))))),multiply(X3,multiply(X1,X6))))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f1453,plain,
! [X2,X3,X1,X4] : inverse(X3) = inverse(multiply(X4,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X4))),inverse(X2))))),
inference(superposition,[],[f1397,f4]) ).
fof(f42535,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X4,multiply(X3,inverse(X5))),multiply(X5,X0)))),
inference(superposition,[],[f8,f41894]) ).
fof(f44394,plain,
! [X2,X3,X1,X4] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X1,X2))),inverse(X3))) = multiply(inverse(multiply(X1,X2)),inverse(X3)),
inference(forward_demodulation,[],[f43808,f43418]) ).
fof(f43418,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f42991,f42389]) ).
fof(f42991,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X2)),X2),X0) = X0,
inference(superposition,[],[f42389,f15055]) ).
fof(f43808,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X1,X2))),inverse(X3))) = multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(X1,X2))),inverse(X3)),
inference(superposition,[],[f42390,f38]) ).
fof(f76374,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),X0) = inverse(multiply(inverse(multiply(X1,X0)),inverse(X2))),
inference(forward_demodulation,[],[f76373,f56368]) ).
fof(f56368,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(inverse(X0),X3)) = multiply(inverse(multiply(X0,X2)),X3),
inference(forward_demodulation,[],[f56367,f52385]) ).
fof(f52385,plain,
! [X0,X5] : multiply(inverse(X0),X5) = inverse(multiply(inverse(X5),X0)),
inference(forward_demodulation,[],[f52384,f43447]) ).
fof(f52384,plain,
! [X0,X5] : multiply(inverse(X0),X5) = inverse(multiply(inverse(X5),inverse(inverse(X0)))),
inference(forward_demodulation,[],[f52383,f44452]) ).
fof(f44452,plain,
! [X3,X0,X1] : multiply(inverse(X0),inverse(X3)) = multiply(X1,inverse(multiply(X3,multiply(X0,X1)))),
inference(forward_demodulation,[],[f43865,f43474]) ).
fof(f43474,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(X3)) = multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X1)),X2))))),
inference(forward_demodulation,[],[f43107,f41894]) ).
fof(f43107,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X1)),X2))))) = multiply(X1,inverse(multiply(X3,multiply(X0,inverse(X0))))),
inference(superposition,[],[f1578,f42389]) ).
fof(f1578,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))) = multiply(X4,inverse(multiply(X1,multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))),
inference(superposition,[],[f1,f1444]) ).
fof(f43865,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(inverse(X0))),X2))))) = multiply(X1,inverse(multiply(X3,multiply(X0,X1)))),
inference(superposition,[],[f1578,f42390]) ).
fof(f52383,plain,
! [X0,X1,X5] : multiply(inverse(X0),X5) = inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(X5,X1))))),
inference(forward_demodulation,[],[f52382,f46015]) ).
fof(f46015,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),multiply(X2,X3))) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X0)),
inference(forward_demodulation,[],[f46014,f44656]) ).
fof(f44656,plain,
! [X2,X3,X1] : inverse(multiply(X2,multiply(X3,X1))) = inverse(multiply(multiply(X2,X3),X1)),
inference(forward_demodulation,[],[f44655,f42478]) ).
fof(f44655,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,X1))) = inverse(multiply(multiply(X2,X3),X1)),
inference(forward_demodulation,[],[f43934,f39110]) ).
fof(f43934,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,X1))) = inverse(multiply(multiply(X2,multiply(X3,inverse(multiply(X0,inverse(X0))))),X1)),
inference(superposition,[],[f8887,f42390]) ).
fof(f46014,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),X3)) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X0)),
inference(forward_demodulation,[],[f46013,f44502]) ).
fof(f44502,plain,
! [X3,X4] : inverse(multiply(X4,X3)) = multiply(inverse(X3),inverse(X4)),
inference(forward_demodulation,[],[f44501,f43465]) ).
fof(f44501,plain,
! [X2,X3,X4] : multiply(inverse(X3),inverse(X4)) = multiply(X2,multiply(inverse(X2),inverse(multiply(X4,X3)))),
inference(forward_demodulation,[],[f44500,f41894]) ).
fof(f44500,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),inverse(X4)) = multiply(X2,multiply(inverse(X2),inverse(multiply(X4,multiply(X3,multiply(X0,inverse(X0))))))),
inference(forward_demodulation,[],[f44499,f44395]) ).
fof(f44499,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),inverse(X4)) = multiply(X2,multiply(inverse(X2),multiply(inverse(multiply(X3,multiply(X0,inverse(X0)))),inverse(X4)))),
inference(forward_demodulation,[],[f44498,f44408]) ).
fof(f44408,plain,
! [X3,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(multiply(X3,X4),inverse(X5)),
inference(forward_demodulation,[],[f44407,f43482]) ).
fof(f43482,plain,
! [X2,X1] : multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(forward_demodulation,[],[f43114,f41894]) ).
fof(f43114,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1,f42389]) ).
fof(f44407,plain,
! [X3,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(multiply(X3,multiply(multiply(X4,X1),inverse(X1))),inverse(X5)),
inference(forward_demodulation,[],[f44406,f43447]) ).
fof(f44406,plain,
! [X3,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(multiply(X3,inverse(inverse(multiply(multiply(X4,X1),inverse(X1))))),inverse(X5)),
inference(forward_demodulation,[],[f44405,f44358]) ).
fof(f44358,plain,
! [X3,X1] : multiply(X3,inverse(X1)) = inverse(multiply(X1,inverse(X3))),
inference(forward_demodulation,[],[f44357,f43474]) ).
fof(f44357,plain,
! [X3,X1,X4,X5] : multiply(X4,inverse(multiply(X1,multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))) = inverse(multiply(X1,inverse(X3))),
inference(forward_demodulation,[],[f44356,f43465]) ).
fof(f44356,plain,
! [X2,X3,X1,X4,X5] : multiply(X4,inverse(multiply(X1,multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))) = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(X3))))),
inference(forward_demodulation,[],[f43782,f41894]) ).
fof(f43782,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(X1,multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),multiply(X0,inverse(X0)))))),
inference(superposition,[],[f42390,f1578]) ).
fof(f44405,plain,
! [X3,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(inverse(multiply(inverse(multiply(multiply(X4,X1),inverse(X1))),inverse(X3))),inverse(X5)),
inference(forward_demodulation,[],[f44404,f43526]) ).
fof(f43526,plain,
! [X0,X1,X4,X5] : inverse(multiply(multiply(X1,inverse(multiply(X5,multiply(X4,X0)))),X5)) = inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X4))),
inference(forward_demodulation,[],[f43525,f42858]) ).
fof(f42858,plain,
! [X2,X3,X4] : inverse(multiply(inverse(X3),inverse(X2))) = inverse(multiply(X4,inverse(multiply(X2,multiply(X3,X4))))),
inference(forward_demodulation,[],[f42857,f42757]) ).
fof(f42857,plain,
! [X2,X3,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X4))),inverse(X2))))) = inverse(multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f42856,f42390]) ).
fof(f42856,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X4))),inverse(X2))))) = inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,inverse(X1)),X2)))),
inference(forward_demodulation,[],[f42615,f42466]) ).
fof(f42466,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(X2,X0))) = multiply(X3,inverse(multiply(X2,multiply(X0,multiply(X1,X3))))),
inference(superposition,[],[f117,f41894]) ).
fof(f42615,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X4))),inverse(X2))))) = inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(X1)),multiply(X2,multiply(X3,X0)))))),
inference(superposition,[],[f1527,f41894]) ).
fof(f1527,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X0))))) = inverse(multiply(multiply(X4,inverse(multiply(X5,multiply(X0,multiply(X3,X4))))),X5)),
inference(superposition,[],[f1444,f1]) ).
fof(f43525,plain,
! [X2,X0,X1,X4,X5] : inverse(multiply(multiply(X1,inverse(multiply(X5,multiply(X4,X0)))),X5)) = inverse(multiply(X2,inverse(multiply(X4,multiply(multiply(X0,inverse(X1)),X2))))),
inference(forward_demodulation,[],[f43177,f42757]) ).
fof(f43177,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(X1,inverse(multiply(X5,multiply(X4,X0)))),X5)) = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(multiply(X0,inverse(X1)),X2))),inverse(X4))))),
inference(superposition,[],[f1527,f42389]) ).
fof(f44404,plain,
! [X2,X3,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))),X2)),inverse(X5)),
inference(forward_demodulation,[],[f43812,f43418]) ).
fof(f43812,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X3,multiply(X4,inverse(X5))) = multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))),X2))),inverse(X5)),
inference(superposition,[],[f42390,f160]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(X3,inverse(X0))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))),X1))),inverse(X0))),
inference(superposition,[],[f37,f117]) ).
fof(f44498,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),inverse(X4)) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X0,inverse(X0))))),inverse(X4))),
inference(forward_demodulation,[],[f44497,f44452]) ).
fof(f44497,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X0,inverse(X0))))),inverse(X4))) = multiply(X1,inverse(multiply(X4,multiply(X3,X1)))),
inference(forward_demodulation,[],[f43893,f42478]) ).
fof(f43893,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X0,inverse(X0))))),inverse(X4))) = multiply(X1,inverse(multiply(multiply(X4,multiply(X3,inverse(X5))),multiply(X5,X1)))),
inference(superposition,[],[f8,f42390]) ).
fof(f46013,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),inverse(multiply(inverse(X0),X2))) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X0)),
inference(forward_demodulation,[],[f46012,f42466]) ).
fof(f46012,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X0)) = multiply(X4,inverse(multiply(inverse(X0),multiply(X2,multiply(X3,X4))))),
inference(forward_demodulation,[],[f46011,f42078]) ).
fof(f42078,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),multiply(X1,inverse(X3))),multiply(X3,X2))) = inverse(multiply(inverse(X0),multiply(X1,X2))),
inference(superposition,[],[f8887,f41837]) ).
fof(f46011,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(inverse(X0),multiply(X2,inverse(X5))),multiply(X5,multiply(X3,X4))))) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X0)),
inference(forward_demodulation,[],[f46010,f44656]) ).
fof(f46010,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(inverse(X0),multiply(X2,inverse(X5))),multiply(X5,multiply(X3,X4))))) = multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X0)),
inference(forward_demodulation,[],[f45641,f44502]) ).
fof(f45641,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(inverse(X0),multiply(X2,inverse(X5))),multiply(X5,multiply(X3,X4))))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X0)),
inference(superposition,[],[f8,f44387]) ).
fof(f52382,plain,
! [X2,X0,X1,X5] : multiply(inverse(X0),X5) = inverse(multiply(X1,multiply(X2,multiply(inverse(multiply(X5,multiply(X1,X2))),X0)))),
inference(forward_demodulation,[],[f52381,f51482]) ).
fof(f51482,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),X1)),
inference(forward_demodulation,[],[f51481,f41894]) ).
fof(f51481,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),multiply(X1,multiply(X3,inverse(X3))))),
inference(forward_demodulation,[],[f51480,f44443]) ).
fof(f44443,plain,
! [X2,X1] : inverse(X2) = multiply(X1,inverse(multiply(X2,X1))),
inference(forward_demodulation,[],[f44442,f43421]) ).
fof(f43421,plain,
! [X2,X0] : multiply(multiply(inverse(X2),X2),X0) = X0,
inference(forward_demodulation,[],[f42994,f43418]) ).
fof(f42994,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2)),X2),X0) = X0,
inference(superposition,[],[f42389,f20096]) ).
fof(f20096,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1)),X1),
inference(superposition,[],[f12572,f18679]) ).
fof(f44442,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X0),X0),X1)))),
inference(forward_demodulation,[],[f44441,f43482]) ).
fof(f44441,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(multiply(inverse(X0),X3),inverse(X3)),X0),X1)))),
inference(forward_demodulation,[],[f44440,f44387]) ).
fof(f44440,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(inverse(multiply(multiply(inverse(X0),X3),inverse(X3)))),X0),X1)))),
inference(forward_demodulation,[],[f44439,f43659]) ).
fof(f43659,plain,
! [X2,X0,X1,X4] : inverse(multiply(multiply(X2,X0),multiply(X1,X4))) = inverse(multiply(X2,multiply(multiply(X0,X1),X4))),
inference(forward_demodulation,[],[f43658,f42478]) ).
fof(f43658,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,X0),multiply(X1,X4))) = inverse(multiply(multiply(X2,multiply(multiply(X0,X1),inverse(X3))),multiply(X3,X4))),
inference(forward_demodulation,[],[f43301,f43447]) ).
fof(f43301,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(multiply(X0,inverse(inverse(X1))),inverse(X3))),multiply(X3,X4))) = inverse(multiply(multiply(X2,X0),multiply(X1,X4))),
inference(superposition,[],[f8887,f42389]) ).
fof(f44439,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(multiply(X2,inverse(inverse(multiply(multiply(inverse(X0),X3),inverse(X3))))),multiply(X0,X1)))),
inference(forward_demodulation,[],[f44438,f44358]) ).
fof(f44438,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X3),inverse(X3))),inverse(X2))),multiply(X0,X1)))),
inference(forward_demodulation,[],[f43860,f43526]) ).
fof(f43860,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = multiply(X1,inverse(multiply(inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X2,multiply(inverse(X0),X3))))),X4)),multiply(X0,X1)))),
inference(superposition,[],[f235,f42390]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(X0) = multiply(X4,inverse(multiply(inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2)),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4))))),
inference(superposition,[],[f1,f159]) ).
fof(f159,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))),X1))) = X3,
inference(superposition,[],[f91,f117]) ).
fof(f51480,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),multiply(X1,multiply(X3,multiply(X4,inverse(multiply(X3,X4))))))),
inference(forward_demodulation,[],[f51479,f49646]) ).
fof(f49646,plain,
! [X3,X0,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(multiply(X0,multiply(X3,X4)),inverse(X5)),
inference(forward_demodulation,[],[f49645,f43447]) ).
fof(f49645,plain,
! [X3,X0,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(multiply(X0,multiply(X3,inverse(inverse(X4)))),inverse(X5)),
inference(forward_demodulation,[],[f49644,f44358]) ).
fof(f49644,plain,
! [X3,X0,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(multiply(X0,inverse(multiply(inverse(X4),inverse(X3)))),inverse(X5)),
inference(forward_demodulation,[],[f49643,f42858]) ).
fof(f49643,plain,
! [X3,X0,X1,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(multiply(X0,inverse(multiply(X1,inverse(multiply(X3,multiply(X4,X1)))))),inverse(X5)),
inference(forward_demodulation,[],[f49642,f45859]) ).
fof(f45859,plain,
! [X2,X3,X1] : inverse(multiply(X2,X3)) = multiply(inverse(multiply(X1,multiply(X2,X3))),X1),
inference(forward_demodulation,[],[f45858,f44656]) ).
fof(f45858,plain,
! [X2,X3,X1] : inverse(multiply(X2,X3)) = multiply(inverse(multiply(multiply(X1,X2),X3)),X1),
inference(forward_demodulation,[],[f45857,f44502]) ).
fof(f45857,plain,
! [X2,X3,X1] : inverse(multiply(X2,X3)) = multiply(multiply(inverse(X3),inverse(multiply(X1,X2))),X1),
inference(forward_demodulation,[],[f45856,f42466]) ).
fof(f45856,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,X3)) = multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1),
inference(forward_demodulation,[],[f45855,f44502]) ).
fof(f45855,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f45854,f44387]) ).
fof(f45854,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1) = inverse(inverse(multiply(inverse(X3),inverse(X2)))),
inference(forward_demodulation,[],[f45853,f42858]) ).
fof(f45853,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1) = inverse(inverse(multiply(X4,inverse(multiply(X2,multiply(X3,X4)))))),
inference(forward_demodulation,[],[f45538,f42757]) ).
fof(f45538,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1) = inverse(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X4))),inverse(X2)))))),
inference(superposition,[],[f44387,f1527]) ).
fof(f49642,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(multiply(X0,inverse(multiply(X1,multiply(inverse(multiply(X2,multiply(X3,multiply(X4,X1)))),X2)))),inverse(X5)),
inference(forward_demodulation,[],[f49641,f49482]) ).
fof(f49482,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0))))) = multiply(X0,inverse(multiply(X1,multiply(X2,X3)))),
inference(forward_demodulation,[],[f49481,f44656]) ).
fof(f49481,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0))))) = multiply(X0,inverse(multiply(multiply(X1,X2),X3))),
inference(forward_demodulation,[],[f49480,f44502]) ).
fof(f49480,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0))))) = multiply(X0,multiply(inverse(X3),inverse(multiply(X1,X2)))),
inference(forward_demodulation,[],[f48961,f42466]) ).
fof(f48961,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0))))) = multiply(X0,multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4)))))),
inference(superposition,[],[f43465,f117]) ).
fof(f49641,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(inverse(multiply(X1,multiply(inverse(multiply(X2,multiply(X3,multiply(X4,X1)))),multiply(X2,inverse(X0))))),inverse(X5)),
inference(forward_demodulation,[],[f49640,f44408]) ).
fof(f49640,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X3,multiply(X4,inverse(X5)))) = multiply(inverse(multiply(X1,multiply(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,X1)))),X2),inverse(X0)))),inverse(X5)),
inference(forward_demodulation,[],[f49014,f43630]) ).
fof(f43630,plain,
! [X3,X0,X1,X4] : multiply(inverse(X3),inverse(multiply(multiply(X4,X0),X1))) = inverse(multiply(X4,multiply(multiply(X0,X1),X3))),
inference(forward_demodulation,[],[f43629,f42757]) ).
fof(f43629,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),inverse(multiply(multiply(X4,X0),X1))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X0,X1),X3))),inverse(X4))),
inference(forward_demodulation,[],[f43628,f43447]) ).
fof(f43628,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(inverse(X1))),X3))),inverse(X4))) = multiply(inverse(X3),inverse(multiply(multiply(X4,X0),X1))),
inference(forward_demodulation,[],[f43282,f42466]) ).
fof(f43282,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(inverse(X1))),X3))),inverse(X4))) = multiply(X5,inverse(multiply(multiply(X4,X0),multiply(X1,multiply(X3,X5))))),
inference(superposition,[],[f8,f42389]) ).
fof(f49014,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(inverse(X0)),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))),X2))),inverse(X5)) = multiply(X0,multiply(X3,multiply(X4,inverse(X5)))),
inference(superposition,[],[f43465,f160]) ).
fof(f51479,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),multiply(multiply(X1,multiply(X3,X4)),inverse(multiply(X3,X4))))),
inference(forward_demodulation,[],[f50824,f50121]) ).
fof(f50121,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,inverse(multiply(X2,X3)))) = inverse(multiply(X2,multiply(X3,inverse(multiply(X1,X0))))),
inference(forward_demodulation,[],[f50120,f44502]) ).
fof(f50120,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,inverse(multiply(X2,X3)))) = inverse(multiply(X2,multiply(X3,multiply(inverse(X0),inverse(X1))))),
inference(forward_demodulation,[],[f50119,f45928]) ).
fof(f45928,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,multiply(X3,inverse(X4)))) = multiply(X0,multiply(X1,multiply(X3,inverse(X4)))),
inference(forward_demodulation,[],[f45927,f44387]) ).
fof(f45927,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,multiply(X3,inverse(X4)))) = inverse(inverse(multiply(X0,multiply(X1,multiply(X3,inverse(X4)))))),
inference(forward_demodulation,[],[f45558,f42473]) ).
fof(f42473,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X3))))) = inverse(multiply(multiply(X0,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,inverse(X3))))),
inference(superposition,[],[f1934,f41894]) ).
fof(f45558,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,multiply(X3,inverse(X4)))) = inverse(inverse(multiply(multiply(X0,multiply(X1,inverse(X5))),multiply(X5,multiply(X3,inverse(X4)))))),
inference(superposition,[],[f44387,f1934]) ).
fof(f50119,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(inverse(X0),inverse(X1))))) = multiply(X1,multiply(X0,inverse(multiply(X2,X3)))),
inference(forward_demodulation,[],[f50118,f49675]) ).
fof(f49675,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
inference(forward_demodulation,[],[f49674,f44502]) ).
fof(f49674,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X2))) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f49673,f44395]) ).
fof(f49673,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X2))) = multiply(inverse(multiply(X1,inverse(X0))),inverse(X2)),
inference(forward_demodulation,[],[f49672,f44502]) ).
fof(f49672,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X2))) = multiply(multiply(inverse(inverse(X0)),inverse(X1)),inverse(X2)),
inference(forward_demodulation,[],[f49671,f43465]) ).
fof(f49671,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(inverse(X0)),inverse(X1)),inverse(X2)) = multiply(X0,multiply(X3,multiply(inverse(X3),multiply(inverse(X1),inverse(X2))))),
inference(forward_demodulation,[],[f49018,f44408]) ).
fof(f49018,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(inverse(X0)),inverse(X1)),inverse(X2)) = multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X2)))),
inference(superposition,[],[f43465,f425]) ).
fof(f50118,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(inverse(X0),inverse(X1))))) = multiply(X1,inverse(multiply(X2,multiply(X3,inverse(X0))))),
inference(forward_demodulation,[],[f50117,f49675]) ).
fof(f50117,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(inverse(X0),inverse(X1))))) = inverse(multiply(X2,multiply(multiply(X3,inverse(X0)),inverse(X1)))),
inference(forward_demodulation,[],[f49162,f44656]) ).
fof(f49162,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(inverse(X0),inverse(X1))))) = inverse(multiply(multiply(X2,multiply(X3,inverse(X0))),inverse(X1))),
inference(superposition,[],[f1934,f43465]) ).
fof(f50824,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X2),inverse(multiply(X3,multiply(X4,inverse(multiply(multiply(X2,X0),multiply(X1,multiply(X3,X4)))))))),
inference(superposition,[],[f41,f43482]) ).
fof(f52381,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),X5) = inverse(multiply(X1,multiply(X2,multiply(inverse(X4),multiply(multiply(X4,inverse(multiply(X5,multiply(X1,X2)))),X0))))),
inference(forward_demodulation,[],[f52380,f49482]) ).
fof(f52380,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),X5) = inverse(multiply(X1,multiply(X2,multiply(inverse(X4),multiply(inverse(multiply(X5,multiply(X1,multiply(X2,inverse(X4))))),X0))))),
inference(forward_demodulation,[],[f52379,f50375]) ).
fof(f50375,plain,
! [X0,X1,X4] : multiply(inverse(X0),multiply(X1,X4)) = multiply(multiply(inverse(X0),X1),X4),
inference(forward_demodulation,[],[f50374,f44550]) ).
fof(f44550,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(X1,X3)),X2)) = multiply(inverse(X2),multiply(X1,X3)),
inference(forward_demodulation,[],[f44549,f43447]) ).
fof(f44549,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(X1,X3)),X2)) = multiply(inverse(X2),multiply(X1,inverse(inverse(X3)))),
inference(forward_demodulation,[],[f44548,f44358]) ).
fof(f44548,plain,
! [X2,X3,X1] : multiply(inverse(X2),inverse(multiply(inverse(X3),inverse(X1)))) = inverse(multiply(inverse(multiply(X1,X3)),X2)),
inference(forward_demodulation,[],[f44547,f42822]) ).
fof(f42822,plain,
! [X2,X3,X0] : inverse(multiply(multiply(inverse(X0),inverse(multiply(X3,X2))),X3)) = inverse(multiply(inverse(X0),inverse(X2))),
inference(forward_demodulation,[],[f42598,f42390]) ).
fof(f42598,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(multiply(X3,X2))),X3)) = inverse(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(X1)),X2)))),
inference(superposition,[],[f1514,f41894]) ).
fof(f44547,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))) = inverse(multiply(inverse(multiply(X1,X3)),X2)),
inference(forward_demodulation,[],[f44546,f44502]) ).
fof(f44546,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))) = inverse(multiply(multiply(inverse(X3),inverse(X1)),X2)),
inference(forward_demodulation,[],[f44545,f44502]) ).
fof(f44545,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),inverse(X1)))),
inference(forward_demodulation,[],[f44544,f43482]) ).
fof(f44544,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),multiply(multiply(inverse(X1),X0),inverse(X0))))),
inference(forward_demodulation,[],[f43906,f43659]) ).
fof(f43906,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(X1)),multiply(X0,inverse(X0))))),
inference(superposition,[],[f110,f42390]) ).
fof(f50374,plain,
! [X0,X1,X4] : multiply(multiply(inverse(X0),X1),X4) = inverse(multiply(inverse(multiply(X1,X4)),X0)),
inference(forward_demodulation,[],[f50373,f44502]) ).
fof(f50373,plain,
! [X0,X1,X4] : multiply(multiply(inverse(X0),X1),X4) = inverse(multiply(multiply(inverse(X4),inverse(X1)),X0)),
inference(forward_demodulation,[],[f50372,f44387]) ).
fof(f50372,plain,
! [X0,X1,X4] : inverse(multiply(multiply(inverse(X4),inverse(X1)),X0)) = inverse(inverse(multiply(multiply(inverse(X0),X1),X4))),
inference(forward_demodulation,[],[f50371,f43465]) ).
fof(f50371,plain,
! [X2,X0,X1,X4] : inverse(multiply(multiply(inverse(X4),inverse(X1)),X0)) = inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(multiply(inverse(X0),X1),X4))))),
inference(forward_demodulation,[],[f49223,f42466]) ).
fof(f49223,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X4),inverse(X1)),X0)) = inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(inverse(X0),X1),multiply(X4,multiply(X2,X3))))))),
inference(superposition,[],[f1439,f43465]) ).
fof(f1439,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X4,multiply(X1,X2))))))) = inverse(multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5)),
inference(superposition,[],[f1397,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1)))))))),inverse(X0))) = X2,
inference(superposition,[],[f37,f159]) ).
fof(f52379,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),X5) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X1,multiply(X2,inverse(X4)))))),X0)))),
inference(forward_demodulation,[],[f51857,f45932]) ).
fof(f45932,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,X3)),
inference(forward_demodulation,[],[f45931,f44387]) ).
fof(f45931,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,X3)) = inverse(inverse(multiply(X0,multiply(X1,X3)))),
inference(forward_demodulation,[],[f45560,f42478]) ).
fof(f45560,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,X3)) = inverse(inverse(multiply(multiply(X0,multiply(X1,inverse(X4))),multiply(X4,X3)))),
inference(superposition,[],[f44387,f8887]) ).
fof(f51857,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),X5) = inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X1,multiply(X2,inverse(X4)))))),X0)))),
inference(superposition,[],[f44484,f116]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(X0,multiply(X3,inverse(X5))),multiply(X5,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X4))))) = X2,
inference(superposition,[],[f4,f91]) ).
fof(f44484,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f44483,f43482]) ).
fof(f44483,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(X2,multiply(multiply(X3,X0),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f44482,f44408]) ).
fof(f44482,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(multiply(X2,multiply(X3,X0)),inverse(X0))) = X3,
inference(forward_demodulation,[],[f44481,f43465]) ).
fof(f44481,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X2,multiply(X3,X0)),multiply(X4,multiply(inverse(X4),inverse(X0))))) = X3,
inference(forward_demodulation,[],[f44480,f43482]) ).
fof(f44480,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(X2,multiply(X3,X0)),multiply(X4,multiply(multiply(multiply(inverse(X4),inverse(X0)),X1),inverse(X1))))) = X3,
inference(forward_demodulation,[],[f44479,f44408]) ).
fof(f44479,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(X2,multiply(X3,X0)),multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(X0)),X1)),inverse(X1)))) = X3,
inference(forward_demodulation,[],[f44478,f44408]) ).
fof(f44478,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(multiply(X2,multiply(X3,X0)),multiply(X4,multiply(multiply(inverse(X4),inverse(X0)),X1))),inverse(X1))) = X3,
inference(forward_demodulation,[],[f43883,f44358]) ).
fof(f43883,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(X3,X0)),multiply(X4,multiply(multiply(inverse(X4),inverse(X0)),X1))))))) = X3,
inference(superposition,[],[f1595,f42390]) ).
fof(f1595,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),inverse(multiply(multiply(X3,inverse(X5)),multiply(X0,inverse(multiply(multiply(X1,multiply(X2,X3)),multiply(X4,multiply(multiply(inverse(X4),inverse(X5)),X0)))))))) = X2,
inference(superposition,[],[f159,f1444]) ).
fof(f56367,plain,
! [X2,X3,X0] : multiply(inverse(X2),inverse(multiply(inverse(X3),X0))) = multiply(inverse(multiply(X0,X2)),X3),
inference(forward_demodulation,[],[f56366,f39481]) ).
fof(f39481,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(multiply(inverse(X0),inverse(multiply(X2,inverse(X1)))),X2)),
inference(superposition,[],[f1514,f39110]) ).
fof(f56366,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(multiply(X0,X2)),X3),
inference(forward_demodulation,[],[f56365,f56359]) ).
fof(f56359,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),multiply(X1,X3))) = multiply(inverse(multiply(X0,X2)),X3),
inference(forward_demodulation,[],[f56358,f52385]) ).
fof(f56358,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),multiply(X1,X3))) = inverse(multiply(inverse(X3),multiply(X0,X2))),
inference(forward_demodulation,[],[f56357,f52783]) ).
fof(f52783,plain,
! [X3,X0,X4] : multiply(inverse(X0),inverse(multiply(X4,X3))) = inverse(multiply(X4,multiply(X3,X0))),
inference(forward_demodulation,[],[f52782,f42757]) ).
fof(f52782,plain,
! [X2,X3,X0,X4] : multiply(inverse(X0),inverse(multiply(X4,X3))) = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))),
inference(forward_demodulation,[],[f52781,f49675]) ).
fof(f52781,plain,
! [X2,X3,X0,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))) = inverse(multiply(X4,multiply(X3,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f52022,f44443]) ).
fof(f52022,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),inverse(X4))) = multiply(X1,inverse(multiply(multiply(X4,multiply(X3,inverse(inverse(X0)))),X1))),
inference(superposition,[],[f8,f44484]) ).
fof(f56357,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),multiply(X1,X3))) = multiply(inverse(X2),inverse(multiply(inverse(X3),X0))),
inference(forward_demodulation,[],[f56356,f39478]) ).
fof(f39478,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X0),X1))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X0),inverse(multiply(X3,inverse(X1)))),X3))),
inference(superposition,[],[f110,f39110]) ).
fof(f56356,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),multiply(X1,X3))),
inference(forward_demodulation,[],[f56355,f50375]) ).
fof(f56355,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(multiply(inverse(multiply(X1,X0)),X1),X3)),
inference(forward_demodulation,[],[f56354,f52385]) ).
fof(f56354,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(X1),multiply(X1,X0))),X3)),
inference(forward_demodulation,[],[f56353,f44656]) ).
fof(f56353,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(X1),X1),X0)),X3)),
inference(forward_demodulation,[],[f56352,f52385]) ).
fof(f56352,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),multiply(multiply(inverse(X1),X1),X0)))),
inference(forward_demodulation,[],[f56351,f50281]) ).
fof(f50281,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X0),X1)),X2))) = inverse(multiply(inverse(X3),multiply(multiply(inverse(X1),X0),X2))),
inference(forward_demodulation,[],[f50280,f43630]) ).
fof(f50280,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(X1)),X0))) = inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X0),X1)),X2))),
inference(forward_demodulation,[],[f50279,f44656]) ).
fof(f50279,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(X1)),X0))) = inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X0),X1))),X2)),
inference(forward_demodulation,[],[f50278,f44502]) ).
fof(f50278,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(X1)),X0))) = multiply(inverse(X2),inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X1))))),
inference(forward_demodulation,[],[f49207,f42822]) ).
fof(f49207,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(X1)),X0))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(inverse(X0),X1)))),X4))),
inference(superposition,[],[f110,f43465]) ).
fof(f56351,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),X0)))),
inference(forward_demodulation,[],[f55211,f44656]) ).
fof(f55211,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X1),X1))),X0))),
inference(superposition,[],[f110,f42718]) ).
fof(f42718,plain,
! [X2,X0] : multiply(X0,inverse(X0)) = multiply(inverse(X2),X2),
inference(forward_demodulation,[],[f42412,f42003]) ).
fof(f42412,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),X2),
inference(superposition,[],[f41894,f18664]) ).
fof(f56365,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(X1,X0)),multiply(X1,X3))),
inference(forward_demodulation,[],[f56364,f50375]) ).
fof(f56364,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(multiply(inverse(multiply(X1,X0)),X1),X3)),
inference(forward_demodulation,[],[f56363,f52385]) ).
fof(f56363,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(X1),multiply(X1,X0))),X3)),
inference(forward_demodulation,[],[f56362,f44656]) ).
fof(f56362,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(X1),X1),X0)),X3)),
inference(forward_demodulation,[],[f56361,f52385]) ).
fof(f56361,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),multiply(multiply(inverse(X1),X1),X0)))),
inference(forward_demodulation,[],[f56360,f50281]) ).
fof(f56360,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),X0)))),
inference(forward_demodulation,[],[f55212,f44656]) ).
fof(f55212,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(X0)))),X4))) = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(inverse(X1),X1))),X0))),
inference(superposition,[],[f110,f42718]) ).
fof(f76373,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f76372,f76223]) ).
fof(f76223,plain,
! [X3,X0,X1] : multiply(X1,multiply(inverse(X3),X0)) = multiply(multiply(X1,inverse(X3)),X0),
inference(forward_demodulation,[],[f76222,f44387]) ).
fof(f76222,plain,
! [X3,X0,X1] : multiply(multiply(X1,inverse(X3)),X0) = inverse(inverse(multiply(X1,multiply(inverse(X3),X0)))),
inference(forward_demodulation,[],[f76221,f43465]) ).
fof(f76221,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X3)),X0) = inverse(inverse(multiply(X1,multiply(X2,multiply(inverse(X2),multiply(inverse(X3),X0)))))),
inference(forward_demodulation,[],[f76220,f50375]) ).
fof(f76220,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))) = multiply(multiply(X1,inverse(X3)),X0),
inference(forward_demodulation,[],[f76219,f43465]) ).
fof(f76219,plain,
! [X2,X3,X0,X1,X5] : inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))) = multiply(multiply(X1,multiply(X5,multiply(inverse(X5),inverse(X3)))),X0),
inference(forward_demodulation,[],[f76218,f43482]) ).
fof(f76218,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))) = multiply(multiply(X1,multiply(X5,multiply(multiply(multiply(inverse(X5),inverse(X3)),X4),inverse(X4)))),X0),
inference(forward_demodulation,[],[f75743,f67917]) ).
fof(f67917,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,inverse(multiply(X1,multiply(X2,X0))))) = multiply(X1,multiply(X2,multiply(X0,inverse(X3)))),
inference(forward_demodulation,[],[f67916,f52783]) ).
fof(f67916,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(inverse(X0),inverse(multiply(X1,X2))))) = multiply(X1,multiply(X2,multiply(X0,inverse(X3)))),
inference(forward_demodulation,[],[f67915,f43480]) ).
fof(f43480,plain,
! [X2,X3,X1] : multiply(X1,X2) = multiply(inverse(X3),inverse(multiply(inverse(X2),inverse(multiply(X3,X1))))),
inference(forward_demodulation,[],[f43479,f41894]) ).
fof(f43479,plain,
! [X2,X3,X0,X1] : multiply(X1,X2) = multiply(inverse(X3),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X0)))),inverse(multiply(X3,X1))))),
inference(forward_demodulation,[],[f43112,f42822]) ).
fof(f43112,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X2) = multiply(inverse(X3),inverse(multiply(multiply(inverse(multiply(X2,multiply(X0,inverse(X0)))),inverse(multiply(X4,multiply(X3,X1)))),X4))),
inference(superposition,[],[f104,f42389]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),inverse(multiply(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0)))),inverse(multiply(X5,multiply(X4,X3)))),X5))) = X0,
inference(superposition,[],[f91,f1]) ).
fof(f67915,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X3,multiply(inverse(X0),inverse(multiply(X1,X2))))) = multiply(inverse(X4),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X3)))),inverse(multiply(X4,X1))))),
inference(forward_demodulation,[],[f66599,f42822]) ).
fof(f66599,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X3,multiply(inverse(X0),inverse(multiply(X1,X2))))) = multiply(inverse(X4),inverse(multiply(multiply(inverse(multiply(X2,multiply(X0,inverse(X3)))),inverse(multiply(X5,multiply(X4,X1)))),X5))),
inference(superposition,[],[f104,f44443]) ).
fof(f75743,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))) = multiply(inverse(multiply(X4,inverse(multiply(X1,multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X4)))))),X0),
inference(superposition,[],[f46343,f1578]) ).
fof(f46343,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(multiply(X2,X0)),X2),
inference(forward_demodulation,[],[f46342,f42390]) ).
fof(f46342,plain,
! [X2,X3,X0] : inverse(X0) = multiply(inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),X0))),X2),
inference(forward_demodulation,[],[f46341,f43659]) ).
fof(f46341,plain,
! [X2,X3,X0] : inverse(X0) = multiply(inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X0))),X2),
inference(forward_demodulation,[],[f46340,f44395]) ).
fof(f46340,plain,
! [X2,X3,X0] : inverse(X0) = multiply(multiply(inverse(multiply(inverse(X3),X0)),inverse(multiply(X2,X3))),X2),
inference(forward_demodulation,[],[f45741,f42466]) ).
fof(f45741,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2),
inference(superposition,[],[f11239,f44387]) ).
fof(f76372,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f76371,f39110]) ).
fof(f76371,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3))))),X0),
inference(forward_demodulation,[],[f76370,f49675]) ).
fof(f76370,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(multiply(X2,inverse(multiply(X3,multiply(inverse(X3),inverse(X1))))),X0),
inference(forward_demodulation,[],[f75778,f49675]) ).
fof(f75778,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(X2))) = multiply(inverse(multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X2)))),X0),
inference(superposition,[],[f46343,f425]) ).
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
% 0.07/0.13 % Problem : GRP438-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:45:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25559)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (25562)WARNING: value z3 for option sas not known
% 0.15/0.38 % (25562)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)
% 0.15/0.38 % (25561)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (25560)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (25563)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (25566)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)
% 0.15/0.38 % (25565)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)
% 0.15/0.38 % (25564)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.22/0.41 TRYING [4]
% 0.22/0.45 TRYING [4]
% 7.88/1.48 TRYING [1]
% 7.88/1.48 TRYING [2]
% 7.88/1.48 TRYING [3]
% 8.03/1.49 TRYING [4]
% 8.84/1.61 TRYING [5]
% 14.47/2.46 TRYING [5]
% 27.25/4.27 % (25566)First to succeed.
% 27.25/4.28 % (25566)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25559"
% 27.25/4.28 % (25566)Refutation found. Thanks to Tanya!
% 27.25/4.28 % SZS status Unsatisfiable for theBenchmark
% 27.25/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 27.25/4.28 % (25566)------------------------------
% 27.25/4.28 % (25566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 27.25/4.28 % (25566)Termination reason: Refutation
% 27.25/4.28
% 27.25/4.28 % (25566)Memory used [KB]: 71306
% 27.25/4.28 % (25566)Time elapsed: 3.898 s
% 27.25/4.28 % (25566)Instructions burned: 12322 (million)
% 27.25/4.28 % (25559)Success in time 3.799 s
%------------------------------------------------------------------------------