TSTP Solution File: GRP119-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP119-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:19:16 EDT 2024

% Result   : Unsatisfiable 5.62s 1.09s
% Output   : CNFRefutation 5.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   60
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  182 ( 182 unt;   0 def)
%            Number of atoms       :  182 ( 181 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  298 ( 298   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [Y,X,Z] : multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    multiply(identity,identity) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    multiply(a,multiply(a,multiply(a,a))) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    multiply(identity,identity) = identity,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    multiply(a,multiply(a,multiply(a,a))) != identity,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
    inference(paramodulation,[status(thm)],[f4,f4]) ).

fof(f8,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1)))) = X0,
    inference(paramodulation,[status(thm)],[f5,f4]) ).

fof(f9,plain,
    ! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity)))) = identity,
    inference(paramodulation,[status(thm)],[f5,f4]) ).

fof(f10,plain,
    ! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity))) = identity,
    inference(forward_demodulation,[status(thm)],[f5,f9]) ).

fof(f11,plain,
    ! [X0] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f5,f10]) ).

fof(f13,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity))) = X1,
    inference(paramodulation,[status(thm)],[f5,f4]) ).

fof(f14,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f13]) ).

fof(f24,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X1),identity)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(paramodulation,[status(thm)],[f14,f14]) ).

fof(f25,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)) = X0,
    inference(paramodulation,[status(thm)],[f5,f14]) ).

fof(f104,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X0,X1))),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))),multiply(multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))))) = multiply(X1,multiply(X1,X1)),
    inference(paramodulation,[status(thm)],[f7,f4]) ).

fof(f107,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
    inference(paramodulation,[status(thm)],[f7,f14]) ).

fof(f108,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f107]) ).

fof(f109,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f108]) ).

fof(f110,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(identity,identity)))))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f109]) ).

fof(f111,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f110]) ).

fof(f112,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,identity))))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f111]) ).

fof(f113,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f112]) ).

fof(f114,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f113]) ).

fof(f115,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f114]) ).

fof(f118,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,X0),identity)) = multiply(identity,multiply(identity,multiply(X0,identity))),
    inference(paramodulation,[status(thm)],[f25,f25]) ).

fof(f134,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))) = X0,
    inference(backward_demodulation,[status(thm)],[f118,f25]) ).

fof(f135,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))) = X0,
    inference(forward_demodulation,[status(thm)],[f118,f134]) ).

fof(f144,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))),multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
    inference(paramodulation,[status(thm)],[f135,f7]) ).

fof(f154,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity)) = X0,
    inference(paramodulation,[status(thm)],[f5,f115]) ).

fof(f155,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity))) = X0,
    inference(forward_demodulation,[status(thm)],[f118,f154]) ).

fof(f168,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
    inference(paramodulation,[status(thm)],[f11,f115]) ).

fof(f169,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity),
    inference(forward_demodulation,[status(thm)],[f5,f168]) ).

fof(f170,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity),
    inference(paramodulation,[status(thm)],[f14,f115]) ).

fof(f200,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,identity)),identity))) = X1,
    inference(backward_demodulation,[status(thm)],[f170,f14]) ).

fof(f277,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(X0,X1))),identity),identity))) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(paramodulation,[status(thm)],[f7,f155]) ).

fof(f278,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(X0,X1))),identity),identity))) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(forward_demodulation,[status(thm)],[f5,f277]) ).

fof(f279,plain,
    ! [X0,X1] : multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(forward_demodulation,[status(thm)],[f155,f278]) ).

fof(f280,plain,
    ! [X0,X1] : multiply(multiply(identity,multiply(identity,identity)),multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(forward_demodulation,[status(thm)],[f5,f279]) ).

fof(f281,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(forward_demodulation,[status(thm)],[f5,f280]) ).

fof(f282,plain,
    ! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),
    inference(forward_demodulation,[status(thm)],[f5,f281]) ).

fof(f368,plain,
    ! [X0] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X0,identity))),identity)),identity)) = multiply(multiply(identity,X0),identity),
    inference(paramodulation,[status(thm)],[f118,f115]) ).

fof(f369,plain,
    ! [X0] : multiply(identity,multiply(X0,identity)) = multiply(multiply(identity,X0),identity),
    inference(forward_demodulation,[status(thm)],[f115,f368]) ).

fof(f459,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity))) = multiply(identity,X1),
    inference(paramodulation,[status(thm)],[f369,f200]) ).

fof(f477,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(paramodulation,[status(thm)],[f7,f8]) ).

fof(f478,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f477]) ).

fof(f479,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f478]) ).

fof(f480,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f479]) ).

fof(f481,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f480]) ).

fof(f537,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
    inference(paramodulation,[status(thm)],[f8,f115]) ).

fof(f538,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
    inference(forward_demodulation,[status(thm)],[f5,f537]) ).

fof(f539,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))),
    inference(forward_demodulation,[status(thm)],[f369,f538]) ).

fof(f578,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),identity)) = multiply(X0,identity),
    inference(paramodulation,[status(thm)],[f481,f369]) ).

fof(f579,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity))) = multiply(X0,identity),
    inference(forward_demodulation,[status(thm)],[f369,f578]) ).

fof(f580,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),
    inference(paramodulation,[status(thm)],[f481,f115]) ).

fof(f581,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)) = multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),
    inference(forward_demodulation,[status(thm)],[f5,f580]) ).

fof(f582,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))) = multiply(identity,multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)),
    inference(forward_demodulation,[status(thm)],[f369,f581]) ).

fof(f705,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(identity,multiply(X1,identity)))),identity)) = multiply(identity,X1),
    inference(paramodulation,[status(thm)],[f24,f459]) ).

fof(f742,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity)),X2))),
    inference(paramodulation,[status(thm)],[f459,f7]) ).

fof(f743,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(identity,multiply(X1,X2))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity)),X2))),
    inference(forward_demodulation,[status(thm)],[f282,f742]) ).

fof(f775,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,X1)),identity))) = multiply(identity,multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(X1,identity))))),
    inference(paramodulation,[status(thm)],[f705,f459]) ).

fof(f776,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,X1)),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity))))),
    inference(forward_demodulation,[status(thm)],[f5,f775]) ).

fof(f859,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),identity)))) = multiply(X0,multiply(multiply(X0,X0),identity)),
    inference(paramodulation,[status(thm)],[f169,f135]) ).

fof(f1019,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(X0,identity),identity)),identity)) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity)),
    inference(paramodulation,[status(thm)],[f579,f115]) ).

fof(f1020,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(identity,multiply(multiply(X0,identity),identity)),identity)) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity)),
    inference(forward_demodulation,[status(thm)],[f5,f1019]) ).

fof(f1021,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),identity))) = multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),identity)),
    inference(forward_demodulation,[status(thm)],[f369,f1020]) ).

fof(f1022,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(paramodulation,[status(thm)],[f579,f7]) ).

fof(f1023,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1022]) ).

fof(f1024,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1023]) ).

fof(f1025,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1024]) ).

fof(f1026,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1025]) ).

fof(f1027,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1026]) ).

fof(f1028,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1027]) ).

fof(f1029,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1028]) ).

fof(f1030,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2),identity)))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1029]) ).

fof(f1031,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,identity))),
    inference(forward_demodulation,[status(thm)],[f1021,f1030]) ).

fof(f1032,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity))))))))) = multiply(X0,multiply(multiply(X0,X1),identity)),
    inference(forward_demodulation,[status(thm)],[f24,f1031]) ).

fof(f1332,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(X0,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))))),identity),identity))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
    inference(paramodulation,[status(thm)],[f582,f582]) ).

fof(f1333,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity)),identity))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
    inference(forward_demodulation,[status(thm)],[f369,f1332]) ).

fof(f1334,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))),identity),identity)))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
    inference(forward_demodulation,[status(thm)],[f369,f1333]) ).

fof(f1335,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
    inference(forward_demodulation,[status(thm)],[f135,f1334]) ).

fof(f1374,plain,
    ! [X0,X1] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),identity)),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
    inference(paramodulation,[status(thm)],[f582,f115]) ).

fof(f1375,plain,
    ! [X0,X1] : multiply(identity,multiply(multiply(X0,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
    inference(forward_demodulation,[status(thm)],[f115,f1374]) ).

fof(f1390,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X1),identity),identity))),X2))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
    inference(backward_demodulation,[status(thm)],[f1335,f7]) ).

fof(f1427,plain,
    ! [X0,X1] : multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity)))))) = multiply(X0,multiply(multiply(X0,X1),identity)),
    inference(backward_demodulation,[status(thm)],[f1335,f1032]) ).

fof(f1428,plain,
    ! [X0,X1] : multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(X0,identity),identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
    inference(backward_demodulation,[status(thm)],[f1335,f144]) ).

fof(f1619,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(paramodulation,[status(thm)],[f135,f539]) ).

fof(f1620,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f369,f1619]) ).

fof(f1621,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f1620]) ).

fof(f1622,plain,
    ! [X0] : multiply(identity,multiply(identity,identity)) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f1621]) ).

fof(f1623,plain,
    ! [X0] : multiply(identity,identity) = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f1622]) ).

fof(f1624,plain,
    ! [X0] : identity = multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f1623]) ).

fof(f1920,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))),
    inference(paramodulation,[status(thm)],[f1624,f115]) ).

fof(f1921,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity))),
    inference(forward_demodulation,[status(thm)],[f5,f1920]) ).

fof(f2601,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(paramodulation,[status(thm)],[f104,f1375]) ).

fof(f2602,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),identity),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f5,f2601]) ).

fof(f2603,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0)),identity)),identity)) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f369,f2602]) ).

fof(f2604,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0)),identity),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f369,f2603]) ).

fof(f2605,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,identity)),multiply(identity,X0)),identity),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f5,f2604]) ).

fof(f2606,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(identity,X0)),identity),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f5,f2605]) ).

fof(f2607,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(identity,X0)),identity),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f5,f2606]) ).

fof(f2608,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f369,f2607]) ).

fof(f2609,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f369,f2608]) ).

fof(f2610,plain,
    ! [X0] : multiply(identity,X0) = multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))),
    inference(forward_demodulation,[status(thm)],[f135,f2609]) ).

fof(f2649,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(paramodulation,[status(thm)],[f104,f369]) ).

fof(f2650,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f5,f2649]) ).

fof(f2651,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f5,f2650]) ).

fof(f2652,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f5,f2651]) ).

fof(f2653,plain,
    ! [X0] : multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f5,f2652]) ).

fof(f2680,plain,
    ! [X0,X1] : multiply(X0,multiply(identity,X1)) = multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),X1)),
    inference(backward_demodulation,[status(thm)],[f2610,f1335]) ).

fof(f2696,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
    inference(backward_demodulation,[status(thm)],[f2680,f1390]) ).

fof(f2745,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X1,identity),identity),identity)))))) = multiply(X0,multiply(multiply(X0,X1),identity)),
    inference(backward_demodulation,[status(thm)],[f2680,f1427]) ).

fof(f2746,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(X1,identity))) = multiply(X0,multiply(multiply(X0,X1),identity)),
    inference(forward_demodulation,[status(thm)],[f135,f2745]) ).

fof(f2747,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
    inference(backward_demodulation,[status(thm)],[f2680,f1428]) ).

fof(f2748,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,identity),X1)) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
    inference(forward_demodulation,[status(thm)],[f135,f2747]) ).

fof(f2793,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(identity,multiply(X1,X2))) = multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,multiply(X1,identity))),identity))),multiply(identity,X2))),
    inference(backward_demodulation,[status(thm)],[f2696,f743]) ).

fof(f2794,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(identity,multiply(X1,X2))) = multiply(X0,multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))),multiply(identity,X2))),
    inference(forward_demodulation,[status(thm)],[f776,f2793]) ).

fof(f2795,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(identity,multiply(X1,X2))) = multiply(X0,multiply(multiply(identity,X1),multiply(identity,X2))),
    inference(forward_demodulation,[status(thm)],[f135,f2794]) ).

fof(f2813,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2))) = multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),
    inference(backward_demodulation,[status(thm)],[f2748,f2696]) ).

fof(f2961,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),identity)),identity)) = multiply(multiply(X0,X1),multiply(identity,X2)),
    inference(paramodulation,[status(thm)],[f2813,f115]) ).

fof(f2962,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,identity),multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
    inference(forward_demodulation,[status(thm)],[f115,f2961]) ).

fof(f3125,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity)),identity)) = multiply(multiply(X0,identity),multiply(X1,identity)),
    inference(paramodulation,[status(thm)],[f2746,f115]) ).

fof(f3126,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(multiply(X0,identity),multiply(X1,identity)),
    inference(forward_demodulation,[status(thm)],[f115,f3125]) ).

fof(f3135,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity)),
    inference(backward_demodulation,[status(thm)],[f3126,f1921]) ).

fof(f3136,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity),
    inference(forward_demodulation,[status(thm)],[f3126,f3135]) ).

fof(f3137,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity),
    inference(forward_demodulation,[status(thm)],[f3126,f3136]) ).

fof(f3138,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)) = multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity),
    inference(forward_demodulation,[status(thm)],[f3126,f3137]) ).

fof(f3284,plain,
    ! [X0,X1] : multiply(multiply(multiply(X0,identity),multiply(X0,identity)),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity),identity)) = X1,
    inference(paramodulation,[status(thm)],[f3126,f115]) ).

fof(f3285,plain,
    ! [X0,X1] : multiply(multiply(multiply(X0,X0),identity),multiply(multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f3126,f3284]) ).

fof(f3286,plain,
    ! [X0,X1] : multiply(multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,identity),X1)),identity)),identity) = X1,
    inference(forward_demodulation,[status(thm)],[f3126,f3285]) ).

fof(f3489,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,identity),X2)),identity)),identity)),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X2)),identity),
    inference(paramodulation,[status(thm)],[f3286,f170]) ).

fof(f3490,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),identity),
    inference(forward_demodulation,[status(thm)],[f3286,f3489]) ).

fof(f3497,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(multiply(X2,X2),multiply(multiply(X2,multiply(multiply(X2,identity),X1)),identity)),
    inference(paramodulation,[status(thm)],[f3286,f200]) ).

fof(f3499,plain,
    ! [X0,X1] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,identity),X0)),identity)),
    inference(paramodulation,[status(thm)],[f3286,f135]) ).

fof(f3545,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X1,identity)))),
    inference(backward_demodulation,[status(thm)],[f3499,f3497]) ).

fof(f4621,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(identity,multiply(X1,X2))),identity)),identity)) = multiply(multiply(identity,X1),multiply(identity,X2)),
    inference(paramodulation,[status(thm)],[f2795,f115]) ).

fof(f4622,plain,
    ! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(multiply(identity,X0),multiply(identity,X1)),
    inference(forward_demodulation,[status(thm)],[f115,f4621]) ).

fof(f5020,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
    inference(paramodulation,[status(thm)],[f2610,f539]) ).

fof(f5021,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))) = multiply(multiply(identity,multiply(identity,multiply(identity,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
    inference(forward_demodulation,[status(thm)],[f3138,f5020]) ).

fof(f5026,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(backward_demodulation,[status(thm)],[f5021,f2653]) ).

fof(f5027,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))),identity))) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f369,f5026]) ).

fof(f5028,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)),identity)))) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f369,f5027]) ).

fof(f5029,plain,
    ! [X0] : multiply(X0,multiply(multiply(X0,X0),identity)) = multiply(multiply(X0,multiply(X0,X0)),identity),
    inference(forward_demodulation,[status(thm)],[f859,f5028]) ).

fof(f5065,plain,
    ! [X0] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),identity)) = multiply(multiply(identity,X0),identity),
    inference(paramodulation,[status(thm)],[f2610,f5029]) ).

fof(f5066,plain,
    ! [X0] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))),identity)) = multiply(identity,multiply(X0,identity)),
    inference(forward_demodulation,[status(thm)],[f369,f5065]) ).

fof(f5086,plain,
    ! [X0] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity)) = multiply(X0,X0),
    inference(paramodulation,[status(thm)],[f5029,f115]) ).

fof(f5096,plain,
    ! [X0,X1] : multiply(multiply(X0,multiply(X1,multiply(X1,X1))),identity) = multiply(multiply(X0,identity),multiply(X1,multiply(multiply(X1,X1),identity))),
    inference(paramodulation,[status(thm)],[f5029,f3126]) ).

fof(f5361,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,multiply(multiply(X1,X1),X2))),identity) = multiply(multiply(X0,identity),multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity))),
    inference(paramodulation,[status(thm)],[f3490,f3126]) ).

fof(f5790,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,identity),identity)) = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(paramodulation,[status(thm)],[f2680,f1375]) ).

fof(f5791,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f369,f5790]) ).

fof(f5792,plain,
    ! [X0] : multiply(identity,multiply(identity,identity)) = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f5791]) ).

fof(f5793,plain,
    ! [X0] : multiply(identity,identity) = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f5792]) ).

fof(f5794,plain,
    ! [X0] : identity = multiply(multiply(identity,multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f5,f5793]) ).

fof(f5795,plain,
    ! [X0] : identity = multiply(identity,multiply(multiply(X0,multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))))),multiply(identity,multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f4622,f5794]) ).

fof(f5796,plain,
    ! [X0] : identity = multiply(identity,multiply(multiply(X0,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))),multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f2962,f5795]) ).

fof(f5797,plain,
    ! [X0] : identity = multiply(identity,multiply(multiply(X0,identity),multiply(multiply(X0,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f2680,f5796]) ).

fof(f5798,plain,
    ! [X0] : identity = multiply(identity,multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))),
    inference(forward_demodulation,[status(thm)],[f135,f5797]) ).

fof(f5799,plain,
    ! [X0] : identity = multiply(identity,multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity)),
    inference(forward_demodulation,[status(thm)],[f5361,f5798]) ).

fof(f7071,plain,
    ! [X0] : multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(paramodulation,[status(thm)],[f5799,f115]) ).

fof(f7072,plain,
    ! [X0] : multiply(multiply(identity,multiply(identity,multiply(identity,identity))),identity) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f3126,f7071]) ).

fof(f7073,plain,
    ! [X0] : multiply(identity,multiply(multiply(identity,multiply(identity,identity)),identity)) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f369,f7072]) ).

fof(f7074,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity))) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f369,f7073]) ).

fof(f7075,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f369,f7074]) ).

fof(f7076,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,identity))) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f5,f7075]) ).

fof(f7077,plain,
    ! [X0] : multiply(identity,multiply(identity,identity)) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f5,f7076]) ).

fof(f7078,plain,
    ! [X0] : multiply(identity,identity) = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f5,f7077]) ).

fof(f7079,plain,
    ! [X0] : identity = multiply(multiply(X0,multiply(X0,multiply(multiply(X0,X0),identity))),identity),
    inference(forward_demodulation,[status(thm)],[f5,f7078]) ).

fof(f7084,plain,
    ! [X0] : multiply(multiply(X0,X0),identity) = multiply(X0,X0),
    inference(backward_demodulation,[status(thm)],[f7079,f5086]) ).

fof(f7122,plain,
    ! [X0] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(identity,multiply(X0,identity)),
    inference(backward_demodulation,[status(thm)],[f7084,f5066]) ).

fof(f7123,plain,
    ! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
    inference(forward_demodulation,[status(thm)],[f2610,f7122]) ).

fof(f7146,plain,
    ! [X0] : identity = multiply(multiply(X0,multiply(X0,multiply(X0,X0))),identity),
    inference(backward_demodulation,[status(thm)],[f7084,f7079]) ).

fof(f7226,plain,
    ! [X0,X1] : multiply(multiply(X0,multiply(X1,multiply(X1,X1))),identity) = multiply(multiply(X0,identity),multiply(X1,multiply(X1,X1))),
    inference(backward_demodulation,[status(thm)],[f7084,f5096]) ).

fof(f7317,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = X0,
    inference(backward_demodulation,[status(thm)],[f7123,f135]) ).

fof(f7318,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,X0))) = X0,
    inference(forward_demodulation,[status(thm)],[f7123,f7317]) ).

fof(f7495,plain,
    ! [X0,X1] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),identity))) = multiply(identity,multiply(identity,multiply(identity,X1))),
    inference(backward_demodulation,[status(thm)],[f7123,f3545]) ).

fof(f7496,plain,
    ! [X0] : multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity)))) = multiply(identity,multiply(identity,multiply(identity,X0))),
    inference(forward_demodulation,[status(thm)],[f3545,f7495]) ).

fof(f7497,plain,
    ! [X0] : multiply(X0,identity) = multiply(identity,multiply(identity,multiply(identity,X0))),
    inference(forward_demodulation,[status(thm)],[f7318,f7496]) ).

fof(f7498,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[status(thm)],[f7318,f7497]) ).

fof(f7613,plain,
    ! [X0] : identity = multiply(multiply(X0,identity),multiply(X0,multiply(X0,X0))),
    inference(backward_demodulation,[status(thm)],[f7226,f7146]) ).

fof(f7614,plain,
    ! [X0] : identity = multiply(X0,multiply(X0,multiply(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f7498,f7613]) ).

fof(f8631,plain,
    identity != identity,
    inference(backward_demodulation,[status(thm)],[f7614,f6]) ).

fof(f8632,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f8631]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP119-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:47:34 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 5.62/1.09  % Refutation found
% 5.62/1.09  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.62/1.09  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.98/1.14  % Elapsed time: 0.781887 seconds
% 5.98/1.14  % CPU time: 6.049011 seconds
% 5.98/1.14  % Total memory used: 207.478 MB
% 5.98/1.14  % Net memory used: 198.711 MB
%------------------------------------------------------------------------------