TSTP Solution File: GRP053-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP053-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 11:51:03 EDT 2024
% Result : Unsatisfiable 12.62s 2.17s
% Output : Refutation 12.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 2
% Syntax : Number of formulae : 231 ( 227 unt; 0 def)
% Number of atoms : 237 ( 236 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 19 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 849 ( 849 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19132,plain,
$false,
inference(trivial_inequality_removal,[],[f19131]) ).
fof(f19131,plain,
a2 != a2,
inference(superposition,[],[f19119,f5543]) ).
fof(f5543,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(backward_demodulation,[],[f4367,f5519]) ).
fof(f5519,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))) = X0,
inference(superposition,[],[f4376,f3626]) ).
fof(f3626,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X3),X3)) = multiply(X0,multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f3578,f3573]) ).
fof(f3573,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1)))))) = X0,
inference(superposition,[],[f3093,f2835]) ).
fof(f2835,plain,
! [X2,X3] : multiply(inverse(X3),X3) = multiply(inverse(X2),X2),
inference(superposition,[],[f2721,f146]) ).
fof(f146,plain,
! [X2,X1,X5] : multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f107,f31]) ).
fof(f31,plain,
! [X2,X3,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(backward_demodulation,[],[f21,f22]) ).
fof(f22,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X6,X4,X5] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X2))))),inverse(multiply(inverse(X5),X5))))),
inference(superposition,[],[f4,f4]) ).
fof(f107,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f47,f4]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f22]) ).
fof(f2721,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2237,f899]) ).
fof(f899,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),
inference(forward_demodulation,[],[f880,f1]) ).
fof(f880,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f1,f296]) ).
fof(f296,plain,
! [X2,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))),
inference(forward_demodulation,[],[f291,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))))),multiply(X3,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2))))))),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2))))))))) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(X2,X4)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f47,f127]) ).
fof(f127,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f31,f47]) ).
fof(f291,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))))),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2)))))))),inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))))))),
inference(superposition,[],[f127,f146]) ).
fof(f2237,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0))))))))) = X1,
inference(superposition,[],[f2172,f1856]) ).
fof(f1856,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(inverse(X0),X0))))))))) = X2,
inference(backward_demodulation,[],[f959,f1855]) ).
fof(f1855,plain,
! [X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X3)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))))))) = multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))))))),
inference(forward_demodulation,[],[f1677,f188]) ).
fof(f188,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X1),X1)))))))),
inference(forward_demodulation,[],[f158,f31]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4))))))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f112,f4]) ).
fof(f112,plain,
! [X2,X3,X1] : multiply(X1,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))))) = X2,
inference(superposition,[],[f22,f47]) ).
fof(f1677,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))) = inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X3)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))))))),
inference(superposition,[],[f59,f899]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f31,f22]) ).
fof(f959,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X2)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))))) = X2,
inference(superposition,[],[f112,f899]) ).
fof(f2172,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X2)),
inference(forward_demodulation,[],[f2101,f31]) ).
fof(f2101,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1))))))))),
inference(superposition,[],[f1856,f294]) ).
fof(f294,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X2))),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f262,f1]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f146,f4]) ).
fof(f3093,plain,
! [X2,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f2835]) ).
fof(f3578,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X0),X2)) = multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))))),multiply(inverse(X3),X3)),
inference(superposition,[],[f3142,f3093]) ).
fof(f3142,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(X1),X1)),
inference(superposition,[],[f2238,f2835]) ).
fof(f2238,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,X0)),multiply(X2,X1)) = multiply(inverse(multiply(X3,X0)),multiply(X3,X1)),
inference(superposition,[],[f2172,f2172]) ).
fof(f4376,plain,
! [X2,X0] : multiply(inverse(inverse(X2)),multiply(inverse(X0),X0)) = X2,
inference(backward_demodulation,[],[f3620,f4336]) ).
fof(f4336,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),
inference(backward_demodulation,[],[f947,f4285]) ).
fof(f4285,plain,
! [X3,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X4),X4))))))) = X3,
inference(backward_demodulation,[],[f3372,f4279]) ).
fof(f4279,plain,
! [X2,X3] : inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f4244,f3573]) ).
fof(f4244,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f3573,f3573]) ).
fof(f3372,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))),inverse(multiply(inverse(X4),X4))))))) = X3,
inference(superposition,[],[f3267,f3142]) ).
fof(f3267,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X0,
inference(superposition,[],[f3259,f2835]) ).
fof(f3259,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(forward_demodulation,[],[f3085,f3074]) ).
fof(f3074,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,X3)))))),inverse(multiply(inverse(X1),X1)))) = X3,
inference(superposition,[],[f127,f2835]) ).
fof(f3085,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(inverse(multiply(X0,X1)))))),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))),
inference(superposition,[],[f59,f2835]) ).
fof(f947,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X0),X0)))))))),
inference(superposition,[],[f112,f899]) ).
fof(f3620,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(backward_demodulation,[],[f3600,f3619]) ).
fof(f3619,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),X2))))) = X2,
inference(forward_demodulation,[],[f3606,f3573]) ).
fof(f3606,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))))))) = X2,
inference(backward_demodulation,[],[f2668,f3573]) ).
fof(f2668,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(X2),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))))))))) = X2,
inference(superposition,[],[f2237,f899]) ).
fof(f3600,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(X2))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(backward_demodulation,[],[f962,f3573]) ).
fof(f962,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(X2))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = X2,
inference(superposition,[],[f146,f899]) ).
fof(f4367,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))) = X2,
inference(backward_demodulation,[],[f3611,f4336]) ).
fof(f3611,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))) = X2,
inference(forward_demodulation,[],[f3595,f3573]) ).
fof(f3595,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = X2,
inference(backward_demodulation,[],[f955,f3573]) ).
fof(f955,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))))) = X2,
inference(superposition,[],[f22,f899]) ).
fof(f19119,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(equality_resolution,[],[f18354]) ).
fof(f18354,plain,
! [X0] :
( multiply(inverse(X0),X0) != multiply(inverse(a1),a1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(superposition,[],[f7706,f2835]) ).
fof(f7706,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(trivial_inequality_removal,[],[f7705]) ).
fof(f7705,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(backward_demodulation,[],[f2,f7689]) ).
fof(f7689,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),X3) = multiply(X0,multiply(X1,X3)),
inference(backward_demodulation,[],[f7676,f7686]) ).
fof(f7686,plain,
! [X3,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = X3,
inference(forward_demodulation,[],[f7682,f7336]) ).
fof(f7336,plain,
! [X2,X0] : multiply(X0,multiply(inverse(X0),X2)) = X2,
inference(backward_demodulation,[],[f3626,f7334]) ).
fof(f7334,plain,
! [X2,X1] : multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(backward_demodulation,[],[f6773,f7333]) ).
fof(f7333,plain,
! [X2,X4] : inverse(multiply(inverse(inverse(inverse(multiply(X2,X4)))),X2)) = X4,
inference(forward_demodulation,[],[f7316,f5745]) ).
fof(f5745,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = multiply(inverse(X3),X0),
inference(backward_demodulation,[],[f3142,f5739]) ).
fof(f5739,plain,
! [X2,X3,X0] : multiply(inverse(X3),X0) = multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f5689,f5572]) ).
fof(f5572,plain,
! [X3,X0,X4] : multiply(inverse(X0),X3) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X0),X3)),
inference(backward_demodulation,[],[f4290,f5543]) ).
fof(f4290,plain,
! [X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X0),X3)) = multiply(multiply(inverse(X1),X1),multiply(inverse(X0),X3)),
inference(backward_demodulation,[],[f3455,f4279]) ).
fof(f3455,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))),multiply(inverse(X0),X3)) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X0),X3)),
inference(superposition,[],[f3144,f3345]) ).
fof(f3345,plain,
! [X2,X3,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X3),X3)),
inference(superposition,[],[f3142,f2835]) ).
fof(f3144,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,X2)) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2)),
inference(superposition,[],[f2238,f2835]) ).
fof(f5689,plain,
! [X2,X3,X0,X4] : multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X3),X0)) = multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(X2),X2)),
inference(backward_demodulation,[],[f3465,f5572]) ).
fof(f3465,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X3),X0)),
inference(superposition,[],[f3144,f3345]) ).
fof(f7316,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(multiply(X2,X4))))),multiply(inverse(multiply(X1,X0)),X2))) = X4,
inference(backward_demodulation,[],[f6992,f7287]) ).
fof(f7287,plain,
! [X3,X0,X1] : inverse(inverse(multiply(multiply(X0,X1),X3))) = multiply(X0,inverse(inverse(multiply(X1,X3)))),
inference(backward_demodulation,[],[f6551,f7241]) ).
fof(f7241,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(X2,multiply(inverse(multiply(inverse(X0),X2)),X3)),
inference(backward_demodulation,[],[f6770,f7192]) ).
fof(f7192,plain,
! [X2,X3] : inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))) = X3,
inference(backward_demodulation,[],[f6818,f7191]) ).
fof(f7191,plain,
! [X2,X3] : inverse(inverse(multiply(X3,multiply(inverse(X3),X2)))) = X2,
inference(forward_demodulation,[],[f6535,f4279]) ).
fof(f6535,plain,
! [X2,X3] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X3),X3)))))) = X2,
inference(backward_demodulation,[],[f5566,f5777]) ).
fof(f5777,plain,
! [X2] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X2),X2)),
inference(backward_demodulation,[],[f5314,f5745]) ).
fof(f5314,plain,
! [X2,X4] : multiply(inverse(X2),X2) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))),
inference(backward_demodulation,[],[f4385,f5313]) ).
fof(f5313,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),X0)),X2),inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f5312,f4385]) ).
fof(f5312,plain,
! [X2,X0,X4] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),X0)),X2),inverse(multiply(inverse(X2),X2))))) = inverse(multiply(X4,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))),X4),inverse(multiply(inverse(X4),X4)))))),
inference(forward_demodulation,[],[f4672,f4918]) ).
fof(f4918,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f4480,f3060]) ).
fof(f3060,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f1,f2835]) ).
fof(f4480,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(X4),X4)))))),
inference(backward_demodulation,[],[f783,f4308]) ).
fof(f4308,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))),inverse(multiply(inverse(X2),X2)))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X2),X2)))),
inference(backward_demodulation,[],[f3133,f4279]) ).
fof(f3133,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))),inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f240,f2835]) ).
fof(f240,plain,
! [X2,X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X2))),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f127,f4]) ).
fof(f783,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(X4),X4)))))),
inference(superposition,[],[f1,f240]) ).
fof(f4672,plain,
! [X2,X0,X4,X5] : inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))),inverse(multiply(inverse(X4),X4)))))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),X0)),X2),inverse(multiply(inverse(X2),X2))))),
inference(backward_demodulation,[],[f4342,f4308]) ).
fof(f4342,plain,
! [X2,X3,X0,X4,X5] : multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(X0),X0)))),inverse(multiply(inverse(X2),X2))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))),inverse(multiply(inverse(X4),X4)))))),
inference(backward_demodulation,[],[f971,f4336]) ).
fof(f971,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(X0),X0)))),inverse(multiply(inverse(X2),X2))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))),inverse(multiply(inverse(X4),X4)))))),
inference(superposition,[],[f4,f899]) ).
fof(f4385,plain,
! [X2,X3,X4] : multiply(inverse(X2),X2) = inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))),X3),inverse(multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f4378,f4279]) ).
fof(f4378,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),X2) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))),X3)),multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(X3),X3)))))),
inference(backward_demodulation,[],[f4333,f4336]) ).
fof(f4333,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),X2) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))),X3)),multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))),inverse(multiply(inverse(X3),X3)))))),
inference(backward_demodulation,[],[f1253,f4331]) ).
fof(f4331,plain,
! [X3,X4] : inverse(inverse(multiply(X3,multiply(inverse(X4),X4)))) = X3,
inference(forward_demodulation,[],[f4284,f4279]) ).
fof(f4284,plain,
! [X3,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X1),X1)))))) = X3,
inference(backward_demodulation,[],[f3371,f4279]) ).
fof(f3371,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))))))) = X3,
inference(superposition,[],[f3267,f3142]) ).
fof(f1253,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),X2) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(multiply(X2,multiply(inverse(X0),X0))))))),X3)),multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f279,f899]) ).
fof(f279,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f146]) ).
fof(f5566,plain,
! [X2,X3] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X3),X2)),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(backward_demodulation,[],[f5542,f5543]) ).
fof(f5542,plain,
! [X2,X3,X0] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X3)),X2)),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(backward_demodulation,[],[f4373,f5519]) ).
fof(f4373,plain,
! [X2,X3,X0] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2)))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(backward_demodulation,[],[f3617,f4336]) ).
fof(f3617,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2)))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(forward_demodulation,[],[f3604,f3573]) ).
fof(f3604,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),X3)),X2)),inverse(multiply(inverse(X3),X3))))))) = inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),
inference(backward_demodulation,[],[f1618,f3573]) ).
fof(f1618,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f59,f899]) ).
fof(f6818,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X3),inverse(inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))))))) = X3,
inference(forward_demodulation,[],[f6255,f5543]) ).
fof(f6255,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X4),X4),inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(backward_demodulation,[],[f4230,f5777]) ).
fof(f4230,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(superposition,[],[f3573,f3645]) ).
fof(f3645,plain,
! [X2,X3,X0] : multiply(inverse(X2),X2) = multiply(X3,multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f3626,f3345]) ).
fof(f6770,plain,
! [X2,X3,X0] : multiply(X0,X3) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X2)),X3)),inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f6769,f5543]) ).
fof(f6769,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X2)),X3)),inverse(multiply(inverse(X2),X2))))) = multiply(X0,multiply(multiply(inverse(X1),X1),X3)),
inference(forward_demodulation,[],[f6187,f4279]) ).
fof(f6187,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X2)),X3)),inverse(multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X3)),multiply(inverse(X1),X1)))),
inference(backward_demodulation,[],[f3130,f5777]) ).
fof(f3130,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X3)),inverse(multiply(inverse(X1),X1))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X2)),X3)),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f174,f2835]) ).
fof(f174,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f22,f112]) ).
fof(f6551,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,X3)))) = inverse(inverse(multiply(X2,multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)))),
inference(forward_demodulation,[],[f6550,f4279]) ).
fof(f6550,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,X3)))) = inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),X2)))))),
inference(forward_demodulation,[],[f6549,f5777]) ).
fof(f6549,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X2),X2))))))) = multiply(X0,inverse(inverse(multiply(X1,X3)))),
inference(forward_demodulation,[],[f6134,f4279]) ).
fof(f6134,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X2),X2))))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X1),X1))))))),
inference(backward_demodulation,[],[f161,f5777]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X2),X2))))))),
inference(superposition,[],[f112,f112]) ).
fof(f6992,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(multiply(X1,X0)),X2),X4)))),multiply(inverse(multiply(X1,X0)),X2))) = X4,
inference(forward_demodulation,[],[f6977,f5776]) ).
fof(f5776,plain,
! [X2,X0,X1,X4] : multiply(inverse(X4),multiply(X0,X2)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(X1),X2)),
inference(forward_demodulation,[],[f5741,f5739]) ).
fof(f5741,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X0,X2)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3))),
inference(backward_demodulation,[],[f3337,f5739]) ).
fof(f3337,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),multiply(inverse(X5),X5)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3))),
inference(superposition,[],[f3142,f3142]) ).
fof(f6977,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(inverse(multiply(multiply(inverse(multiply(X1,X0)),X2),X4))))),multiply(inverse(X2),X2))) = X4,
inference(backward_demodulation,[],[f6933,f6973]) ).
fof(f6973,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),X4) = multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,X4)),
inference(forward_demodulation,[],[f6972,f5745]) ).
fof(f6972,plain,
! [X2,X0,X1,X4,X5] : multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,X4)) = multiply(inverse(multiply(X5,multiply(inverse(multiply(X1,X0)),X2))),multiply(X5,X4)),
inference(forward_demodulation,[],[f6387,f4279]) ).
fof(f6387,plain,
! [X2,X0,X1,X4,X5] : multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,X4)) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(X0),X0))))),multiply(X5,X4)),
inference(backward_demodulation,[],[f5022,f5777]) ).
fof(f5022,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))),multiply(X5,X4)) = multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,X4)),
inference(backward_demodulation,[],[f2421,f4918]) ).
fof(f2421,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))),multiply(X0,X4)) = multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))),multiply(X5,X4)),
inference(superposition,[],[f2238,f47]) ).
fof(f6933,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(multiply(inverse(multiply(X1,X0)),X2),X4)))))),multiply(inverse(X2),X2))) = X4,
inference(forward_demodulation,[],[f6932,f5745]) ).
fof(f6932,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(multiply(inverse(multiply(X1,X0)),X2),X4)))))),multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(multiply(X1,X0)),X2)))) = X4,
inference(forward_demodulation,[],[f6931,f6622]) ).
fof(f6622,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = inverse(multiply(inverse(X2),multiply(X1,X0))),
inference(forward_demodulation,[],[f6621,f6556]) ).
fof(f6556,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X0,X3)) = inverse(multiply(X4,multiply(inverse(multiply(X3,X4)),multiply(X1,multiply(inverse(multiply(X0,X1)),X2))))),
inference(forward_demodulation,[],[f6555,f5776]) ).
fof(f6555,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X4,multiply(inverse(multiply(X3,X4)),multiply(X1,multiply(inverse(multiply(X0,X1)),X2))))) = multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f6554,f5777]) ).
fof(f6554,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))) = inverse(multiply(X4,multiply(inverse(multiply(X3,X4)),multiply(X1,multiply(inverse(multiply(X0,X1)),X2))))),
inference(forward_demodulation,[],[f6553,f4279]) ).
fof(f6553,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))) = inverse(multiply(X4,multiply(inverse(multiply(X3,X4)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),X1))))))),
inference(forward_demodulation,[],[f6552,f4279]) ).
fof(f6552,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),X1)))))),multiply(inverse(X4),X4))))),
inference(forward_demodulation,[],[f6135,f5777]) ).
fof(f6135,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),X1)))))),inverse(multiply(inverse(X4),X4)))))),
inference(backward_demodulation,[],[f173,f5777]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(X4),X4)))))),
inference(superposition,[],[f47,f112]) ).
fof(f6621,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = inverse(inverse(multiply(X4,multiply(inverse(multiply(X0,X4)),multiply(X3,multiply(inverse(multiply(X1,X3)),X2)))))),
inference(forward_demodulation,[],[f6620,f4279]) ).
fof(f6620,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = inverse(inverse(multiply(X4,multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),multiply(inverse(X3),X3)))))))),
inference(forward_demodulation,[],[f6619,f5777]) ).
fof(f6619,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = inverse(inverse(multiply(X4,multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))))),
inference(forward_demodulation,[],[f6618,f4279]) ).
fof(f6618,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),multiply(inverse(X4),X4)))))),
inference(forward_demodulation,[],[f6617,f5777]) ).
fof(f6617,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X4),X4))))))),
inference(forward_demodulation,[],[f6149,f4279]) ).
fof(f6149,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X4),X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(X0),X0))),
inference(backward_demodulation,[],[f630,f5777]) ).
fof(f630,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X4),X4))))))),
inference(superposition,[],[f31,f174]) ).
fof(f6931,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(multiply(inverse(multiply(X1,X0)),X2),X4)))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(multiply(X1,X0)),X2))))) = X4,
inference(forward_demodulation,[],[f6369,f4279]) ).
fof(f6369,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(X0),X0))),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),multiply(inverse(X0),X0))))))) = X4,
inference(backward_demodulation,[],[f4970,f5777]) ).
fof(f4970,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X2))),X1),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X4,
inference(backward_demodulation,[],[f196,f4918]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X4,
inference(superposition,[],[f127,f47]) ).
fof(f6773,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(X0,X1)))),X0)),multiply(inverse(X2),X2)) = X1,
inference(forward_demodulation,[],[f6189,f4279]) ).
fof(f6189,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))))),X0)),multiply(inverse(X2),X2)) = X1,
inference(backward_demodulation,[],[f3153,f5777]) ).
fof(f3153,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))))))),X0)),multiply(inverse(X2),X2)) = X1,
inference(superposition,[],[f2237,f2835]) ).
fof(f7682,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X2))),X3)),
inference(backward_demodulation,[],[f7586,f7681]) ).
fof(f7681,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(X0,X1),X2)),X3) = multiply(inverse(multiply(X0,multiply(X1,X2))),X3),
inference(forward_demodulation,[],[f7587,f5745]) ).
fof(f7587,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(multiply(X0,X1),X2)),X3) = multiply(inverse(multiply(X4,multiply(X0,multiply(X1,X2)))),multiply(X4,X3)),
inference(backward_demodulation,[],[f7542,f7548]) ).
fof(f7548,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(backward_demodulation,[],[f7162,f7518]) ).
fof(f7518,plain,
! [X2,X3,X0] : multiply(X3,multiply(X0,inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))))) = X3,
inference(backward_demodulation,[],[f6790,f7336]) ).
fof(f6790,plain,
! [X2,X3,X0,X4] : multiply(X4,multiply(inverse(X4),X3)) = multiply(X3,multiply(X0,inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))))),
inference(forward_demodulation,[],[f6209,f5543]) ).
fof(f6209,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(inverse(X4),X3)) = multiply(X3,multiply(X0,inverse(multiply(X0,inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2)))))))),
inference(backward_demodulation,[],[f3627,f5777]) ).
fof(f3627,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(inverse(X4),X3)) = multiply(X3,multiply(X0,inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[],[f3626,f3267]) ).
fof(f7162,plain,
! [X2,X3,X0] : inverse(inverse(multiply(X3,multiply(X0,inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(backward_demodulation,[],[f6776,f7160]) ).
fof(f7160,plain,
! [X1,X5] : inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(X5))) = X5,
inference(forward_demodulation,[],[f7159,f5745]) ).
fof(f7159,plain,
! [X1,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,inverse(X5)))) = X5,
inference(forward_demodulation,[],[f7158,f6768]) ).
fof(f6768,plain,
! [X2,X0] : multiply(inverse(X0),inverse(inverse(multiply(X0,X2)))) = X2,
inference(forward_demodulation,[],[f6767,f5543]) ).
fof(f6767,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(inverse(multiply(X0,multiply(multiply(inverse(X1),X1),X2))))) = X2,
inference(forward_demodulation,[],[f6186,f4279]) ).
fof(f6186,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X1),X1))))))) = X2,
inference(backward_demodulation,[],[f3126,f5777]) ).
fof(f3126,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f112,f2835]) ).
fof(f7158,plain,
! [X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,multiply(inverse(X1),X1))))))),multiply(X4,inverse(X5)))) = X5,
inference(forward_demodulation,[],[f6508,f5543]) ).
fof(f6508,plain,
! [X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,multiply(inverse(X1),X1))))))),multiply(X4,multiply(multiply(inverse(X1),X1),inverse(X5))))) = X5,
inference(backward_demodulation,[],[f5411,f5777]) ).
fof(f5411,plain,
! [X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))),multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5))))) = X5,
inference(forward_demodulation,[],[f5369,f4279]) ).
fof(f5369,plain,
! [X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5)))),multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))))))) = X5,
inference(backward_demodulation,[],[f5145,f5314]) ).
fof(f5145,plain,
! [X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5)))),inverse(multiply(inverse(multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1))))))))),multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))))))))))))) = X5,
inference(backward_demodulation,[],[f4909,f5056]) ).
fof(f5056,plain,
! [X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(X0,X1))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))),
inference(backward_demodulation,[],[f188,f4918]) ).
fof(f4909,plain,
! [X1,X4,X5] : inverse(multiply(inverse(multiply(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5)))),inverse(multiply(inverse(inverse(multiply(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(multiply(inverse(inverse(X4)),inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))) = X5,
inference(backward_demodulation,[],[f4457,f4908]) ).
fof(f4908,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X4))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))) = inverse(multiply(multiply(inverse(X4),inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f4474,f4308]) ).
fof(f4474,plain,
! [X2,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X1),X1)))),multiply(X5,X4))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X4))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),
inference(backward_demodulation,[],[f690,f4308]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X4))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X1),X1)))),multiply(X5,X4))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f240,f294]) ).
fof(f4457,plain,
! [X2,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))) = X5,
inference(backward_demodulation,[],[f423,f4308]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(inverse(X1),X1)),inverse(X5)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1)))),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))) = X5,
inference(superposition,[],[f3,f294]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(X2,multiply(X0,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f6776,plain,
! [X2,X3,X0,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(X0,inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))))))))) = X3,
inference(forward_demodulation,[],[f6192,f5543]) ).
fof(f6192,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(X0,inverse(multiply(X0,inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))))))))))))) = X3,
inference(backward_demodulation,[],[f3279,f5777]) ).
fof(f3279,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X4),X4)),inverse(multiply(X0,inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))))))))) = X3,
inference(superposition,[],[f3267,f3267]) ).
fof(f7542,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(multiply(X0,X1),X2)),X3) = multiply(inverse(multiply(X4,multiply(X0,inverse(inverse(multiply(X1,X2)))))),multiply(X4,X3)),
inference(backward_demodulation,[],[f6756,f7516]) ).
fof(f7516,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(inverse(X0),X1)) = multiply(inverse(multiply(X0,X4)),X1),
inference(backward_demodulation,[],[f5760,f7336]) ).
fof(f5760,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X4)),multiply(X2,multiply(inverse(X2),X1))) = multiply(inverse(X4),multiply(inverse(X0),X1)),
inference(backward_demodulation,[],[f3754,f5758]) ).
fof(f5758,plain,
! [X2,X0,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(X4),multiply(X0,X2)),
inference(backward_demodulation,[],[f2439,f5740]) ).
fof(f5740,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))) = multiply(inverse(X4),multiply(X0,X2)),
inference(backward_demodulation,[],[f3338,f5739]) ).
fof(f3338,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),multiply(inverse(X5),X5)),
inference(superposition,[],[f3142,f2238]) ).
fof(f2439,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,[],[f2238,f2238]) ).
fof(f3754,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,X4)),multiply(X3,multiply(inverse(X0),X1))) = multiply(inverse(multiply(X0,X4)),multiply(X2,multiply(inverse(X2),X1))),
inference(superposition,[],[f2238,f3646]) ).
fof(f3646,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X2),X0)) = multiply(X3,multiply(inverse(X3),X0)),
inference(superposition,[],[f3626,f3626]) ).
fof(f6756,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,multiply(X0,inverse(inverse(multiply(X1,X2)))))),multiply(X4,X3)),
inference(forward_demodulation,[],[f6175,f4279]) ).
fof(f6175,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))))))),multiply(X4,X3)),
inference(backward_demodulation,[],[f2780,f5777]) ).
fof(f2780,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))))),multiply(X4,X3)),
inference(superposition,[],[f2238,f2237]) ).
fof(f7586,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(multiply(X0,X1),X2)),X3)),
inference(backward_demodulation,[],[f7541,f7548]) ).
fof(f7541,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,X2)))),multiply(inverse(multiply(multiply(X0,X1),X2)),X3)),
inference(backward_demodulation,[],[f7152,f7516]) ).
fof(f7152,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,X2)))),multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),
inference(forward_demodulation,[],[f6506,f4279]) ).
fof(f6506,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))))),multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),
inference(backward_demodulation,[],[f5407,f5777]) ).
fof(f5407,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),
inference(forward_demodulation,[],[f5365,f4279]) ).
fof(f5365,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))))),
inference(backward_demodulation,[],[f4600,f5314]) ).
fof(f4600,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(inverse(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))))))) = multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))),
inference(backward_demodulation,[],[f2755,f4308]) ).
fof(f2755,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4))))) = multiply(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(inverse(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))))))),
inference(superposition,[],[f53,f2237]) ).
fof(f53,plain,
! [X2,X0,X1,X6,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X2))),inverse(multiply(inverse(X5),X5))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(X5),X5))))),
inference(superposition,[],[f22,f4]) ).
fof(f7676,plain,
! [X3,X0,X1,X4] : multiply(multiply(X0,X1),X3) = multiply(X0,multiply(X1,multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))))),
inference(forward_demodulation,[],[f7675,f7548]) ).
fof(f7675,plain,
! [X3,X0,X1,X4] : multiply(multiply(X0,X1),X3) = multiply(X0,inverse(inverse(multiply(X1,multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))))))),
inference(forward_demodulation,[],[f7578,f7674]) ).
fof(f7674,plain,
! [X3,X0] : multiply(X0,X3) = inverse(multiply(multiply(inverse(X3),inverse(X0)),inverse(multiply(X0,inverse(X0))))),
inference(forward_demodulation,[],[f7673,f7548]) ).
fof(f7673,plain,
! [X3,X0] : multiply(X0,X3) = inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(X0,inverse(X0))))),
inference(forward_demodulation,[],[f7577,f7548]) ).
fof(f7577,plain,
! [X3,X0] : multiply(X0,X3) = inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))),
inference(backward_demodulation,[],[f7036,f7548]) ).
fof(f7036,plain,
! [X3,X0] : inverse(inverse(multiply(X0,X3))) = inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))),
inference(forward_demodulation,[],[f7035,f5543]) ).
fof(f7035,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))) = inverse(inverse(multiply(X0,multiply(multiply(inverse(X1),X1),X3)))),
inference(forward_demodulation,[],[f6403,f4279]) ).
fof(f6403,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))) = inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X3)),multiply(inverse(X1),X1)))))),
inference(backward_demodulation,[],[f5044,f5777]) ).
fof(f5044,plain,
! [X3,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X3)),inverse(multiply(inverse(X1),X1))))))) = inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(X0)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))),
inference(backward_demodulation,[],[f3123,f4918]) ).
fof(f3123,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(inverse(X0)),inverse(X0))))) = inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X3)),inverse(multiply(inverse(X1),X1))))))),
inference(superposition,[],[f59,f2835]) ).
fof(f7578,plain,
! [X3,X0,X1,X4] : multiply(X0,inverse(inverse(multiply(X1,multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))))))) = inverse(multiply(multiply(inverse(X3),inverse(multiply(X0,X1))),inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X1)))))),
inference(backward_demodulation,[],[f7113,f7548]) ).
fof(f7113,plain,
! [X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X3),inverse(multiply(X0,X1))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4))))))))),
inference(forward_demodulation,[],[f6446,f4279]) ).
fof(f6446,plain,
! [X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X3),inverse(multiply(X0,X1))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4)))))),multiply(inverse(X1),X1))))))),
inference(backward_demodulation,[],[f5232,f5777]) ).
fof(f5232,plain,
! [X3,X0,X1,X4] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(multiply(inverse(X3),inverse(multiply(X0,X1))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[],[f4554,f4918]) ).
fof(f4554,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,X3))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(X4,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X1),X1)))))))),
inference(backward_demodulation,[],[f1535,f4308]) ).
fof(f1535,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,X3))),inverse(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X0,X1)))))) = multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f112,f53]) ).
fof(f2,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP053-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 04:26:43 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (17669)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (17672)WARNING: value z3 for option sas not known
% 0.17/0.35 % (17670)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (17675)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)
% 0.17/0.35 % (17676)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)
% 0.17/0.35 % (17672)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)
% 0.17/0.35 % (17673)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35 % (17671)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (17674)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [3]
% 0.17/0.37 TRYING [4]
% 8.28/1.51 TRYING [5]
% 8.28/1.54 TRYING [1]
% 8.28/1.54 TRYING [2]
% 8.28/1.54 TRYING [3]
% 8.56/1.57 TRYING [4]
% 10.37/1.81 TRYING [4]
% 12.62/2.16 % (17675)First to succeed.
% 12.62/2.17 % (17675)Refutation found. Thanks to Tanya!
% 12.62/2.17 % SZS status Unsatisfiable for theBenchmark
% 12.62/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 12.62/2.18 % (17675)------------------------------
% 12.62/2.18 % (17675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 12.62/2.18 % (17675)Termination reason: Refutation
% 12.62/2.18
% 12.62/2.18 % (17675)Memory used [KB]: 12432
% 12.62/2.18 % (17675)Time elapsed: 1.826 s
% 12.62/2.18 % (17675)Instructions burned: 3779 (million)
% 12.62/2.18 % (17675)------------------------------
% 12.62/2.18 % (17675)------------------------------
% 12.62/2.18 % (17669)Success in time 1.83 s
%------------------------------------------------------------------------------