TSTP Solution File: GRP420-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP420-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 12:06:36 EDT 2024
% Result : Unsatisfiable 22.83s 3.60s
% Output : Refutation 22.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 2
% Syntax : Number of formulae : 136 ( 136 unt; 0 def)
% Number of atoms : 136 ( 135 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 : 31 ( 4 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 : 555 ( 555 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173781,plain,
$false,
inference(trivial_inequality_removal,[],[f173555]) ).
fof(f173555,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f40867]) ).
fof(f40867,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[],[f40866,f26154]) ).
fof(f26154,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f26153,f25856]) ).
fof(f25856,plain,
! [X2,X1] : inverse(X2) = inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),
inference(forward_demodulation,[],[f25855,f25822]) ).
fof(f25822,plain,
! [X0,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = X4,
inference(forward_demodulation,[],[f25821,f25305]) ).
fof(f25305,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2)))))) = X3,
inference(forward_demodulation,[],[f25304,f7848]) ).
fof(f7848,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X1,
inference(superposition,[],[f754,f7677]) ).
fof(f7677,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f7490,f753]) ).
fof(f753,plain,
! [X3,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X1)))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1))))) = X3,
inference(superposition,[],[f27,f529]) ).
fof(f529,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))),
inference(superposition,[],[f1,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = X3,
inference(superposition,[],[f1,f15]) ).
fof(f15,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f27,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1) = X3,
inference(superposition,[],[f15,f15]) ).
fof(f7490,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f754,f7313]) ).
fof(f7313,plain,
! [X2,X1] : inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f7126,f753]) ).
fof(f7126,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))),multiply(inverse(X0),X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f754,f6806]) ).
fof(f6806,plain,
! [X2,X3,X1] : multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f753,f6660]) ).
fof(f6660,plain,
! [X1,X6,X7,X5] : inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(X1,inverse(multiply(inverse(X7),X7)))))))),multiply(X5,X1))) = X6,
inference(forward_demodulation,[],[f6507,f17]) ).
fof(f17,plain,
! [X3,X1,X4] : inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f6507,plain,
! [X3,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))),inverse(multiply(inverse(X7),X7)))))))),multiply(X5,inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))))) = X6,
inference(superposition,[],[f6203,f14]) ).
fof(f14,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)) = inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))),
inference(superposition,[],[f3,f3]) ).
fof(f6203,plain,
! [X3,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),inverse(multiply(multiply(X6,X1),inverse(multiply(inverse(X3),X3)))))))),multiply(X4,multiply(X6,X1)))) = X5,
inference(superposition,[],[f978,f27]) ).
fof(f978,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(multiply(X0,X1),inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X1))))))))),multiply(X3,multiply(X0,X1)))) = X4,
inference(superposition,[],[f1,f716]) ).
fof(f716,plain,
! [X3,X1,X4,X5] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))) = inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X1))),
inference(superposition,[],[f529,f529]) ).
fof(f754,plain,
! [X3,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1)))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f33,f529]) ).
fof(f25304,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2)))))) = X3,
inference(forward_demodulation,[],[f25016,f24965]) ).
fof(f24965,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = multiply(inverse(X0),X1),
inference(superposition,[],[f24756,f1240]) ).
fof(f1240,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,X1)),multiply(X3,X4)) = multiply(inverse(multiply(X5,X1)),multiply(X5,X4)),
inference(superposition,[],[f1169,f1]) ).
fof(f1169,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[],[f15,f753]) ).
fof(f24756,plain,
! [X2,X3] : inverse(multiply(inverse(X3),multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f24640,f15042]) ).
fof(f15042,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X3,inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0)))))))) = X3,
inference(superposition,[],[f12688,f13957]) ).
fof(f13957,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f13760,f13760]) ).
fof(f13760,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f13590,f15]) ).
fof(f13590,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))),
inference(superposition,[],[f1,f13040]) ).
fof(f13040,plain,
! [X2,X1] : inverse(multiply(inverse(X2),X2)) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f12688,f11722]) ).
fof(f11722,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f8187,f11443]) ).
fof(f11443,plain,
! [X1,X5] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X5),X5))),
inference(forward_demodulation,[],[f11230,f17]) ).
fof(f11230,plain,
! [X3,X1,X4,X5] : inverse(inverse(multiply(inverse(X5),X5))) = inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))),inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))))),
inference(superposition,[],[f7851,f14]) ).
fof(f7851,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X1)))),
inference(superposition,[],[f1749,f7677]) ).
fof(f1749,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
inference(superposition,[],[f17,f754]) ).
fof(f8187,plain,
! [X3,X0] : multiply(inverse(X0),X0) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f8186,f1]) ).
fof(f8186,plain,
! [X2,X3,X0,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))),X3),
inference(forward_demodulation,[],[f7959,f7848]) ).
fof(f7959,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4))))))))),X3),
inference(superposition,[],[f27,f7677]) ).
fof(f12688,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))))) = X0,
inference(superposition,[],[f7848,f8187]) ).
fof(f24640,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1))))))))),multiply(inverse(X2),X2))) = X3,
inference(superposition,[],[f978,f13104]) ).
fof(f13104,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X2),X2)),
inference(superposition,[],[f8223,f12688]) ).
fof(f8223,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)),
inference(superposition,[],[f8187,f7677]) ).
fof(f25016,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = X3,
inference(superposition,[],[f24756,f33]) ).
fof(f25821,plain,
! [X2,X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,X3)),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25820,f20284]) ).
fof(f20284,plain,
! [X2,X3,X1] : inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))) = X3,
inference(superposition,[],[f7848,f13915]) ).
fof(f13915,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X0),X0))),
inference(superposition,[],[f13760,f13760]) ).
fof(f25820,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X1),X1))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25819,f24965]) ).
fof(f25819,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25623,f24965]) ).
fof(f25623,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))))) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)),
inference(superposition,[],[f529,f24768]) ).
fof(f24768,plain,
! [X2,X3] : multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)) = X3,
inference(forward_demodulation,[],[f24767,f17]) ).
fof(f24767,plain,
! [X2,X3,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f24665,f15042]) ).
fof(f24665,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))))),multiply(inverse(X2),X2)),
inference(superposition,[],[f14,f13104]) ).
fof(f25855,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(X0)),X2)),X0))) = inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),
inference(forward_demodulation,[],[f25668,f24965]) ).
fof(f25668,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(X0)),X2)),X0))) = inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(X1),X1))))),
inference(superposition,[],[f1749,f24768]) ).
fof(f26153,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))) = X2,
inference(forward_demodulation,[],[f25922,f25856]) ).
fof(f25922,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),X1)),X2)))) = X2,
inference(superposition,[],[f25345,f13040]) ).
fof(f25345,plain,
! [X2,X0] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = X2,
inference(forward_demodulation,[],[f25344,f24756]) ).
fof(f25344,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),multiply(inverse(X1),X1))) = inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))),
inference(forward_demodulation,[],[f25166,f24965]) ).
fof(f25166,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = inverse(inverse(multiply(inverse(multiply(X3,multiply(inverse(X1),X1))),multiply(X3,X2)))),
inference(superposition,[],[f1749,f24756]) ).
fof(f40866,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = inverse(inverse(multiply(X1,multiply(X0,X2)))),
inference(forward_demodulation,[],[f40865,f29173]) ).
fof(f29173,plain,
! [X1,X4] : multiply(X1,X4) = inverse(multiply(inverse(X4),inverse(X1))),
inference(forward_demodulation,[],[f29172,f28411]) ).
fof(f28411,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = multiply(inverse(X2),X3),
inference(forward_demodulation,[],[f28410,f24965]) ).
fof(f28410,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X2))),
inference(forward_demodulation,[],[f28133,f24965]) ).
fof(f28133,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = inverse(inverse(multiply(inverse(multiply(X4,multiply(X5,X2))),multiply(X4,multiply(X5,X3))))),
inference(superposition,[],[f26154,f3219]) ).
fof(f3219,plain,
! [X2,X3,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(X5,X2))),multiply(X4,multiply(X5,X3)))) = inverse(multiply(inverse(multiply(X6,multiply(X1,X2))),multiply(X6,multiply(X1,X3)))),
inference(superposition,[],[f716,f2799]) ).
fof(f2799,plain,
! [X2,X3,X0,X6,X4,X5] : multiply(inverse(multiply(X5,multiply(X3,X2))),multiply(X5,multiply(X3,X4))) = multiply(inverse(multiply(X6,multiply(X0,X2))),multiply(X6,multiply(X0,X4))),
inference(superposition,[],[f1447,f1425]) ).
fof(f1425,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4)) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4)),
inference(superposition,[],[f1240,f1240]) ).
fof(f1447,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f1240,f1240]) ).
fof(f29172,plain,
! [X2,X3,X1,X4] : multiply(X1,X4) = inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,inverse(X1))))),
inference(forward_demodulation,[],[f29171,f26154]) ).
fof(f29171,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,inverse(X1))))) = inverse(inverse(multiply(X1,X4))),
inference(forward_demodulation,[],[f28726,f28408]) ).
fof(f28408,plain,
! [X3,X1] : inverse(X3) = multiply(inverse(multiply(X1,X3)),X1),
inference(forward_demodulation,[],[f28407,f26154]) ).
fof(f28407,plain,
! [X3,X1] : inverse(X3) = multiply(inverse(multiply(inverse(inverse(X1)),X3)),X1),
inference(forward_demodulation,[],[f28406,f27911]) ).
fof(f27911,plain,
! [X1,X6,X7,X5] : multiply(X1,X7) = multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27910,f26154]) ).
fof(f27910,plain,
! [X1,X6,X7,X5] : multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))) = multiply(inverse(inverse(X1)),X7),
inference(forward_demodulation,[],[f27909,f24965]) ).
fof(f27909,plain,
! [X1,X8,X6,X7,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X1)))) = multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27908,f24756]) ).
fof(f27908,plain,
! [X3,X0,X1,X8,X6,X7,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X1)))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(X0,inverse(X3))),multiply(X0,inverse(X3))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27907,f27888]) ).
fof(f27888,plain,
! [X3,X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3))),
inference(forward_demodulation,[],[f27887,f26226]) ).
fof(f26226,plain,
! [X3,X4,X5] : inverse(X3) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(forward_demodulation,[],[f26010,f26224]) ).
fof(f26224,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))) = X3,
inference(forward_demodulation,[],[f26223,f17]) ).
fof(f26223,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(forward_demodulation,[],[f26006,f26154]) ).
fof(f26006,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f14,f25345]) ).
fof(f26010,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f16,f25345]) ).
fof(f16,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)) = multiply(inverse(multiply(X5,inverse(multiply(inverse(X1),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)),
inference(superposition,[],[f3,f3]) ).
fof(f27887,plain,
! [X2,X3,X0,X1,X4] : inverse(X1) = multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))),
inference(forward_demodulation,[],[f27886,f27052]) ).
fof(f27052,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2))))))),X1)),
inference(forward_demodulation,[],[f27051,f26154]) ).
fof(f27051,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2))))))),X1)),
inference(forward_demodulation,[],[f27050,f24965]) ).
fof(f27050,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)),
inference(forward_demodulation,[],[f27049,f27048]) ).
fof(f27048,plain,
! [X1,X7,X5] : inverse(X1) = inverse(multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(inverse(X7),inverse(multiply(X7,inverse(X7))))))))),multiply(X5,inverse(X7)))),
inference(forward_demodulation,[],[f27047,f26246]) ).
fof(f26246,plain,
! [X3,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) = X3,
inference(forward_demodulation,[],[f26019,f26224]) ).
fof(f26019,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) = multiply(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f34,f25345]) ).
fof(f34,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)),
inference(superposition,[],[f15,f3]) ).
fof(f27047,plain,
! [X2,X0,X1,X7,X5] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X5,inverse(multiply(X1,inverse(multiply(inverse(X7),inverse(multiply(X7,inverse(X7))))))))),multiply(X5,inverse(X7)))),
inference(forward_demodulation,[],[f27046,f15]) ).
fof(f27046,plain,
! [X2,X3,X0,X1,X7,X4,X5] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),inverse(multiply(inverse(X7),inverse(multiply(X7,inverse(X7))))))))),multiply(X5,inverse(X7)))),
inference(forward_demodulation,[],[f26348,f26226]) ).
fof(f26348,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),inverse(multiply(multiply(inverse(multiply(X6,inverse(multiply(inverse(X7),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X6,X8)),inverse(multiply(X7,multiply(inverse(multiply(X6,inverse(multiply(inverse(X7),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X6,X8)))))))))),multiply(X5,multiply(inverse(multiply(X6,inverse(multiply(inverse(X7),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X6,X8))))),
inference(superposition,[],[f4,f14]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)),inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)))))))))),multiply(X3,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f27049,plain,
! [X2,X3,X0,X1,X6,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(inverse(X6),inverse(multiply(X6,inverse(X6))))))))),multiply(X4,inverse(X6)))),
inference(forward_demodulation,[],[f26350,f26226]) ).
fof(f26350,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X5,X7)),inverse(multiply(X6,multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X5,X7)))))))))),multiply(X4,multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X5,X7))))),
inference(superposition,[],[f4,f39]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1))) = X3,
inference(superposition,[],[f17,f15]) ).
fof(f27886,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(X6,inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),inverse(multiply(X1,inverse(multiply(multiply(X5,X7),multiply(inverse(X7),X7))))))),X6)),
inference(forward_demodulation,[],[f27885,f26154]) ).
fof(f27885,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X6)),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),inverse(multiply(X1,inverse(multiply(multiply(X5,X7),multiply(inverse(X7),X7))))))),X6)),
inference(forward_demodulation,[],[f26883,f24965]) ).
fof(f26883,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X6)),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),inverse(multiply(X1,inverse(multiply(multiply(X5,X7),inverse(multiply(inverse(multiply(X5,X7)),multiply(X5,X7))))))))),X6)),
inference(superposition,[],[f33,f4]) ).
fof(f27907,plain,
! [X3,X0,X1,X8,X6,X7,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3)))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3))),multiply(inverse(multiply(X0,inverse(X3))),multiply(X0,inverse(X3))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27906,f27759]) ).
fof(f27759,plain,
! [X3,X1,X6,X7] : inverse(multiply(X1,multiply(inverse(multiply(X6,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),X7))) = multiply(inverse(X7),multiply(X6,inverse(X3))),
inference(forward_demodulation,[],[f27758,f24965]) ).
fof(f27758,plain,
! [X3,X1,X6,X7,X5] : inverse(multiply(inverse(multiply(X5,multiply(X6,inverse(X3)))),multiply(X5,X7))) = inverse(multiply(X1,multiply(inverse(multiply(X6,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),X7))),
inference(forward_demodulation,[],[f26818,f26226]) ).
fof(f26818,plain,
! [X2,X3,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X6,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))))),multiply(X5,X7))) = inverse(multiply(X1,multiply(inverse(multiply(X6,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),X7))),
inference(superposition,[],[f901,f4]) ).
fof(f901,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4))),
inference(superposition,[],[f716,f716]) ).
fof(f27906,plain,
! [X3,X0,X1,X8,X6,X7,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3)))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3))),inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3))))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27905,f26226]) ).
fof(f27905,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))),inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f27904,f26154]) ).
fof(f27904,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))),inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f26888,f24965]) ).
fof(f26888,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X8,X7)),multiply(X8,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))))))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))),inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X7),inverse(multiply(multiply(X5,X6),inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,X6)))))))),
inference(superposition,[],[f529,f4]) ).
fof(f28406,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2))))))),X1),
inference(forward_demodulation,[],[f28131,f24965]) ).
fof(f28131,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1),
inference(superposition,[],[f26154,f33]) ).
fof(f28726,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,inverse(X1))))) = inverse(multiply(inverse(multiply(X0,multiply(X1,X4))),X0)),
inference(superposition,[],[f3219,f28113]) ).
fof(f28113,plain,
! [X1,X5] : multiply(X5,multiply(X1,inverse(X1))) = X5,
inference(forward_demodulation,[],[f28112,f26154]) ).
fof(f28112,plain,
! [X1,X5] : multiply(inverse(inverse(X5)),multiply(X1,inverse(X1))) = X5,
inference(forward_demodulation,[],[f28111,f27888]) ).
fof(f28111,plain,
! [X3,X0,X1,X5] : multiply(inverse(inverse(X5)),multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),inverse(multiply(X3,inverse(X3))))))))),multiply(X0,inverse(X3))))) = X5,
inference(forward_demodulation,[],[f26974,f26226]) ).
fof(f26974,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(X5)),multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X3,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))))))),multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)))))) = X5,
inference(superposition,[],[f24768,f4]) ).
fof(f40865,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X1,multiply(X0,X2)))) = inverse(multiply(inverse(X2),inverse(multiply(X1,X0)))),
inference(forward_demodulation,[],[f40161,f24965]) ).
fof(f40161,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X1,multiply(X0,X2)))) = inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,X0)))),multiply(X3,X2)))),
inference(superposition,[],[f1181,f29117]) ).
fof(f29117,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(forward_demodulation,[],[f29116,f26154]) ).
fof(f29116,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),X0)))) = X1,
inference(forward_demodulation,[],[f28688,f25291]) ).
fof(f25291,plain,
! [X2,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))) = X2,
inference(forward_demodulation,[],[f24891,f24768]) ).
fof(f24891,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f24756,f13408]) ).
fof(f13408,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f13040,f12688]) ).
fof(f28688,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),inverse(multiply(inverse(inverse(X0)),inverse(X0))))))))) = X1,
inference(superposition,[],[f28113,f15]) ).
fof(f1181,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))) = inverse(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)))),
inference(superposition,[],[f17,f753]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:18:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (1110)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1111)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (1113)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (1112)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (1114)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (1113)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (1116)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (1115)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (1117)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.51 TRYING [4]
% 7.94/1.48 TRYING [1]
% 7.94/1.48 TRYING [2]
% 7.94/1.48 TRYING [3]
% 8.04/1.49 TRYING [4]
% 20.88/3.32 TRYING [5]
% 22.09/3.53 TRYING [5]
% 22.09/3.59 % (1117)First to succeed.
% 22.83/3.60 % (1117)Refutation found. Thanks to Tanya!
% 22.83/3.60 % SZS status Unsatisfiable for theBenchmark
% 22.83/3.60 % SZS output start Proof for theBenchmark
% See solution above
% 22.83/3.60 % (1117)------------------------------
% 22.83/3.60 % (1117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 22.83/3.60 % (1117)Termination reason: Refutation
% 22.83/3.60
% 22.83/3.60 % (1117)Memory used [KB]: 57501
% 22.83/3.60 % (1117)Time elapsed: 3.222 s
% 22.83/3.60 % (1117)Instructions burned: 11142 (million)
% 22.83/3.60 % (1117)------------------------------
% 22.83/3.60 % (1117)------------------------------
% 22.83/3.60 % (1110)Success in time 3.162 s
%------------------------------------------------------------------------------