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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:32:24 PM UTC 2026

% Result   : Unsatisfiable 116.81s 15.13s
% Output   : CNFRefutation 116.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :    2
% Syntax   : Number of formulae    :  167 ( 163 unt;   0 def)
%            Number of atoms       :  173 ( 172 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    :   22 (   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   :  585 ( 585   !;   0   ?)

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

fof(f2,negated_conjecture,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f4,plain,
    ( a2 != multiply(multiply(inverse(b2),b2),a2)
    | multiply(inverse(b1),b1) != multiply(inverse(a1),a1)
    | multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f5,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X0),X0))),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X0)))),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),X3)),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),
    inference(paramodulation,[status(thm)],[f3,f5]) ).

fof(f15,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X0),X0))),
    inference(paramodulation,[status(thm)],[f5,f3]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X0)))),multiply(X3,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),X0)),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),
    inference(paramodulation,[status(thm)],[f15,f5]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1)))),inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),X1)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),
    inference(paramodulation,[status(thm)],[f15,f3]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
    inference(paramodulation,[status(thm)],[f6,f6]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X2)))),multiply(X4,inverse(X2)))))),multiply(X3,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))),
    inference(paramodulation,[status(thm)],[f3,f6]) ).

fof(f78,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X0,inverse(X2))) = X1,
    inference(paramodulation,[status(thm)],[f6,f3]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X0,inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
    inference(paramodulation,[status(thm)],[f78,f6]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X0,inverse(X2)))))),inverse(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(X2))))),
    inference(paramodulation,[status(thm)],[f78,f3]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X2,inverse(X3)))))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
    inference(paramodulation,[status(thm)],[f78,f54]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
    inference(forward_demodulation,[status(thm)],[f78,f140]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X4)))),multiply(X2,inverse(X4)))))) = multiply(inverse(multiply(X5,inverse(X1))),multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,inverse(X3))),multiply(X6,inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4)))))))),
    inference(paramodulation,[status(thm)],[f6,f203]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X4)))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X5),multiply(inverse(X4),X4))))),X3)),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(X6,inverse(X1))),multiply(X6,inverse(X5))),
    inference(paramodulation,[status(thm)],[f7,f203]) ).

fof(f310,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
    inference(forward_demodulation,[status(thm)],[f7,f249]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X0),X0)))),multiply(X4,inverse(X3))),
    inference(paramodulation,[status(thm)],[f5,f310]) ).

fof(f336,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(X1))),X4),
    inference(paramodulation,[status(thm)],[f3,f310]) ).

fof(f348,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X0),X0)))),multiply(X4,inverse(X3))),
    inference(paramodulation,[status(thm)],[f15,f310]) ).

fof(f403,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))))),multiply(X0,inverse(multiply(X4,inverse(X3)))))),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3))))) = multiply(X4,inverse(X2)),
    inference(paramodulation,[status(thm)],[f310,f3]) ).

fof(f411,plain,
    ! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),
    inference(forward_demodulation,[status(thm)],[f123,f403]) ).

fof(f446,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),
    inference(paramodulation,[status(thm)],[f411,f7]) ).

fof(f553,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
    inference(paramodulation,[status(thm)],[f3,f336]) ).

fof(f557,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(X1))),X4),
    inference(paramodulation,[status(thm)],[f6,f336]) ).

fof(f566,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(X3))),X0) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X0),X0)))),
    inference(paramodulation,[status(thm)],[f15,f336]) ).

fof(f616,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(multiply(inverse(X1),X1)))))),
    inference(paramodulation,[status(thm)],[f336,f411]) ).

fof(f617,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))),multiply(X4,inverse(multiply(inverse(X2),X2))))))),multiply(X3,inverse(X1))),
    inference(paramodulation,[status(thm)],[f336,f78]) ).

fof(f619,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(X2),X2)),X5)))),multiply(X6,inverse(X5)))),inverse(X4)),
    inference(paramodulation,[status(thm)],[f336,f7]) ).

fof(f693,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X2),
    inference(paramodulation,[status(thm)],[f336,f553]) ).

fof(f703,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1))))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3),
    inference(paramodulation,[status(thm)],[f553,f553]) ).

fof(f724,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))) = X3,
    inference(paramodulation,[status(thm)],[f553,f7]) ).

fof(f727,plain,
    ! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X1),X1)))),X1))),
    inference(paramodulation,[status(thm)],[f553,f411]) ).

fof(f730,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3))))),X0)))),multiply(X1,inverse(X0))),
    inference(paramodulation,[status(thm)],[f553,f78]) ).

fof(f742,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
    inference(paramodulation,[status(thm)],[f553,f7]) ).

fof(f748,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X4)))),multiply(X3,inverse(multiply(inverse(X4),X4)))))) = X1,
    inference(paramodulation,[status(thm)],[f553,f3]) ).

fof(f752,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3)))),X3))),inverse(X3))),
    inference(paramodulation,[status(thm)],[f553,f78]) ).

fof(f797,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))))) = multiply(X2,inverse(multiply(inverse(X3),X3))),
    inference(paramodulation,[status(thm)],[f553,f3]) ).

fof(f799,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != multiply(multiply(inverse(b2),b2),a2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f4,f800]) ).

fof(f800,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(forward_demodulation,[status(thm)],[f3,f693]) ).

fof(f830,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = multiply(inverse(X1),X1),
    inference(backward_demodulation,[status(thm)],[f831,f12]) ).

fof(f831,plain,
    ! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X4),X4))),
    inference(forward_demodulation,[status(thm)],[f616,f724]) ).

fof(f839,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
    inference(forward_demodulation,[status(thm)],[f123,f797]) ).

fof(f866,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3))),
    inference(forward_demodulation,[status(thm)],[f616,f748]) ).

fof(f876,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),
    inference(backward_demodulation,[status(thm)],[f830,f839]) ).

fof(f909,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),multiply(X0,inverse(X2)))),inverse(X3)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X1)))),multiply(X4,inverse(X1)))),inverse(multiply(inverse(multiply(X6,inverse(X3))),multiply(X6,inverse(multiply(inverse(X2),X2))))))),X5)),inverse(multiply(inverse(X1),X1))),
    inference(backward_demodulation,[status(thm)],[f876,f619]) ).

fof(f910,plain,
    ! [X0,X1,X2,X3,X4,X5] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))))),X2)),inverse(multiply(inverse(X3),X3))),
    inference(backward_demodulation,[status(thm)],[f876,f742]) ).

fof(f913,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),
    inference(backward_demodulation,[status(thm)],[f876,f446]) ).

fof(f918,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(X1)))),inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),X1)),inverse(multiply(inverse(X1),X1))),
    inference(backward_demodulation,[status(thm)],[f876,f31]) ).

fof(f926,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X0)))),multiply(X3,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X1),multiply(inverse(X0),X0))))),X0)),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X0),X0))),
    inference(backward_demodulation,[status(thm)],[f876,f30]) ).

fof(f950,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1))),
    inference(backward_demodulation,[status(thm)],[f952,f727]) ).

fof(f952,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0))),
    inference(forward_demodulation,[status(thm)],[f918,f926]) ).

fof(f966,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X2)))),multiply(X3,inverse(X2)))),inverse(X1))),X4)),inverse(multiply(inverse(X2),X2))),
    inference(forward_demodulation,[status(thm)],[f876,f913]) ).

fof(f1009,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X2)),X1))),
    inference(paramodulation,[status(thm)],[f800,f950]) ).

fof(f1026,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X0))),
    inference(backward_demodulation,[status(thm)],[f1009,f730]) ).

fof(f1028,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1)))),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X5)))),multiply(X3,inverse(X5)))),inverse(multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(multiply(inverse(X1),X1))))))),X4)),inverse(multiply(inverse(X5),X5))),
    inference(backward_demodulation,[status(thm)],[f1009,f909]) ).

fof(f1040,plain,
    ! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))))),X2)),inverse(multiply(inverse(X3),X3))),
    inference(backward_demodulation,[status(thm)],[f1026,f910]) ).

fof(f1042,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))),
    inference(backward_demodulation,[status(thm)],[f1026,f703]) ).

fof(f1062,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X2))),
    inference(backward_demodulation,[status(thm)],[f1026,f752]) ).

fof(f1066,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))),
    inference(backward_demodulation,[status(thm)],[f1026,f616]) ).

fof(f1082,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X0,inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
    inference(backward_demodulation,[status(thm)],[f1026,f119]) ).

fof(f1089,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),inverse(multiply(inverse(X4),X4)))))),X1)),inverse(multiply(inverse(X2),X2))) = X3,
    inference(forward_demodulation,[status(thm)],[f876,f1040]) ).

fof(f1099,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X5),X5))))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(X5),X5))),inverse(X4)),
    inference(forward_demodulation,[status(thm)],[f1026,f1028]) ).

fof(f1104,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),inverse(inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X1,inverse(X3))))),
    inference(forward_demodulation,[status(thm)],[f1026,f1082]) ).

fof(f1105,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X4,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(inverse(multiply(inverse(X3),X3)))))),
    inference(forward_demodulation,[status(thm)],[f1026,f1104]) ).

fof(f1143,plain,
    ! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))))) = multiply(X0,inverse(multiply(inverse(inverse(X2)),inverse(X3)))),
    inference(paramodulation,[status(thm)],[f310,f1009]) ).

fof(f1147,plain,
    ! [X0,X1,X2,X3] : multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))) = multiply(X0,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(X2)))),
    inference(paramodulation,[status(thm)],[f1009,f1009]) ).

fof(f1161,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X4)))))),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(X3)),
    inference(backward_demodulation,[status(thm)],[f1143,f1099]) ).

fof(f1163,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))))),multiply(X0,inverse(X1))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
    inference(backward_demodulation,[status(thm)],[f1143,f617]) ).

fof(f1166,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
    inference(backward_demodulation,[status(thm)],[f1143,f231]) ).

fof(f1171,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),multiply(X3,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))),
    inference(backward_demodulation,[status(thm)],[f1143,f68]) ).

fof(f1186,plain,
    ! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))),
    inference(backward_demodulation,[status(thm)],[f1188,f1066]) ).

fof(f1188,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))) = multiply(X0,inverse(inverse(X2))),
    inference(forward_demodulation,[status(thm)],[f1009,f1147]) ).

fof(f1206,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),multiply(X3,inverse(X1))),
    inference(backward_demodulation,[status(thm)],[f1264,f1163]) ).

fof(f1209,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2))),
    inference(backward_demodulation,[status(thm)],[f1264,f1042]) ).

fof(f1242,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2))))),inverse(X1))),X4),
    inference(backward_demodulation,[status(thm)],[f1264,f557]) ).

fof(f1264,plain,
    ! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f1089,f1161]) ).

fof(f1266,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
    inference(forward_demodulation,[status(thm)],[f1264,f1209]) ).

fof(f1277,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),multiply(X3,inverse(inverse(inverse(multiply(inverse(X2),X2))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))),
    inference(forward_demodulation,[status(thm)],[f1264,f1171]) ).

fof(f1278,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),multiply(X3,inverse(inverse(inverse(multiply(inverse(X2),X2))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),
    inference(forward_demodulation,[status(thm)],[f1264,f1277]) ).

fof(f1279,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),multiply(X0,inverse(inverse(inverse(multiply(inverse(X2),X2))))))),inverse(inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),
    inference(forward_demodulation,[status(thm)],[f1264,f1278]) ).

fof(f1295,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X4,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(X3),X3))))),
    inference(backward_demodulation,[status(thm)],[f1186,f1105]) ).

fof(f1316,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2)))),inverse(X1))),X4),
    inference(backward_demodulation,[status(thm)],[f1186,f1242]) ).

fof(f1326,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),multiply(X3,inverse(inverse(inverse(multiply(inverse(X2),X2))))))),inverse(inverse(inverse(multiply(inverse(X2),X2))))),
    inference(backward_demodulation,[status(thm)],[f1186,f1279]) ).

fof(f1328,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1))),
    inference(backward_demodulation,[status(thm)],[f1186,f1206]) ).

fof(f1455,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
    inference(forward_demodulation,[status(thm)],[f1186,f1166]) ).

fof(f1456,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(inverse(X3),X3))))),inverse(inverse(multiply(inverse(X3),X3))))))),
    inference(forward_demodulation,[status(thm)],[f1264,f1455]) ).

fof(f1457,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(X4),X4)))))) = multiply(inverse(multiply(X5,inverse(X1))),multiply(X5,inverse(multiply(inverse(inverse(multiply(inverse(X3),X4))),inverse(X4))))),
    inference(forward_demodulation,[status(thm)],[f1186,f1456]) ).

fof(f1517,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2)))),inverse(X1))),X4),
    inference(forward_demodulation,[status(thm)],[f1186,f1316]) ).

fof(f1531,plain,
    ! [X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(X1),X1),
    inference(paramodulation,[status(thm)],[f1266,f1266]) ).

fof(f1561,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X0))),
    inference(paramodulation,[status(thm)],[f1266,f310]) ).

fof(f1666,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X2))) = multiply(X0,inverse(X2)),
    inference(paramodulation,[status(thm)],[f1531,f1009]) ).

fof(f1672,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(X1))),inverse(inverse(multiply(inverse(X3),X3)))),
    inference(paramodulation,[status(thm)],[f1531,f310]) ).

fof(f1675,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(X4,inverse(inverse(inverse(multiply(inverse(X3),X3))))))),inverse(inverse(multiply(inverse(X3),X3)))),
    inference(backward_demodulation,[status(thm)],[f1666,f1295]) ).

fof(f1722,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(X1))),inverse(X2)),
    inference(paramodulation,[status(thm)],[f1264,f310]) ).

fof(f1737,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2)))),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(inverse(multiply(inverse(X2),X2))))),
    inference(backward_demodulation,[status(thm)],[f1946,f1326]) ).

fof(f1839,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X2),X1))),inverse(X1)),
    inference(backward_demodulation,[status(thm)],[f1946,f1328]) ).

fof(f1865,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X3),X2))),inverse(X2))),inverse(X1))),X3)),inverse(multiply(inverse(X2),X2))),
    inference(backward_demodulation,[status(thm)],[f1946,f966]) ).

fof(f1884,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),inverse(multiply(inverse(X2),X2))),
    inference(backward_demodulation,[status(thm)],[f1946,f866]) ).

fof(f1892,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(X2))),X0) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X0),X0)))),
    inference(backward_demodulation,[status(thm)],[f1946,f566]) ).

fof(f1898,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X3)),
    inference(backward_demodulation,[status(thm)],[f1946,f333]) ).

fof(f1899,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X0)))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(X0)))),inverse(X3))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X3)),
    inference(backward_demodulation,[status(thm)],[f1946,f348]) ).

fof(f1906,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))))),inverse(inverse(inverse(multiply(inverse(X3),X3)))))),inverse(inverse(multiply(inverse(X3),X3)))),
    inference(backward_demodulation,[status(thm)],[f1946,f1675]) ).

fof(f1907,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))))),
    inference(backward_demodulation,[status(thm)],[f1946,f1457]) ).

fof(f1913,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2)))),inverse(X1))),X3),
    inference(backward_demodulation,[status(thm)],[f1946,f1517]) ).

fof(f1930,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(inverse(X1)),inverse(X0)),
    inference(backward_demodulation,[status(thm)],[f1946,f1672]) ).

fof(f1933,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(inverse(inverse(X1)),inverse(X0))),inverse(multiply(inverse(X2),X2))),
    inference(backward_demodulation,[status(thm)],[f1946,f1561]) ).

fof(f1946,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(X1)),inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f1264,f1722]) ).

fof(f1948,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f1946,f1898]) ).

fof(f1949,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X2))) = inverse(X2),
    inference(forward_demodulation,[status(thm)],[f1264,f1948]) ).

fof(f1952,plain,
    ! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f1946,f1839]) ).

fof(f1953,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))),
    inference(backward_demodulation,[status(thm)],[f1970,f1062]) ).

fof(f1970,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f1264,f1952]) ).

fof(f1977,plain,
    ! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f1970,f1884]) ).

fof(f1986,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
    inference(forward_demodulation,[status(thm)],[f1264,f1953]) ).

fof(f2002,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(X0))),inverse(X0)))),inverse(X0)))),inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f1946,f1899]) ).

fof(f2003,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f1949,f2002]) ).

fof(f2006,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X0))),
    inference(forward_demodulation,[status(thm)],[f1264,f2003]) ).

fof(f2014,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(inverse(X0)),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))))),
    inference(forward_demodulation,[status(thm)],[f1986,f1907]) ).

fof(f2015,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(inverse(X0)),multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))))),
    inference(forward_demodulation,[status(thm)],[f1946,f2014]) ).

fof(f2016,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(inverse(X0)),X1) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(X1),X3))),inverse(X3))))),
    inference(forward_demodulation,[status(thm)],[f1977,f2015]) ).

fof(f2017,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),X1) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2)))),
    inference(forward_demodulation,[status(thm)],[f1946,f2016]) ).

fof(f2018,plain,
    ! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
    inference(forward_demodulation,[status(thm)],[f1970,f2017]) ).

fof(f2033,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(X0)))),inverse(X1))),X0) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(inverse(X0),X0)))),
    inference(forward_demodulation,[status(thm)],[f1949,f1892]) ).

fof(f2034,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(inverse(X0),X0)))),
    inference(forward_demodulation,[status(thm)],[f2006,f2033]) ).

fof(f2035,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X0))),
    inference(forward_demodulation,[status(thm)],[f1946,f2034]) ).

fof(f2041,plain,
    ! [X0,X1] : X0 = multiply(inverse(multiply(inverse(inverse(X1)),inverse(X0))),X1),
    inference(forward_demodulation,[status(thm)],[f1977,f2035]) ).

fof(f2063,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1)))),inverse(X0))),X2),
    inference(forward_demodulation,[status(thm)],[f1946,f1913]) ).

fof(f2064,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X2),X2)))),inverse(X0))),X1),
    inference(forward_demodulation,[status(thm)],[f1977,f2063]) ).

fof(f2065,plain,
    ! [X0,X1,X2] : X0 = multiply(inverse(multiply(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2))),inverse(X0))),X1),
    inference(forward_demodulation,[status(thm)],[f1986,f2064]) ).

fof(f2066,plain,
    ! [X0,X1] : X0 = multiply(inverse(multiply(X1,inverse(X0))),X1),
    inference(forward_demodulation,[status(thm)],[f1977,f2065]) ).

fof(f2107,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2))))),inverse(inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))),
    inference(forward_demodulation,[status(thm)],[f1946,f1906]) ).

fof(f2108,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2)))) = multiply(inverse(inverse(inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2))))),
    inference(forward_demodulation,[status(thm)],[f1930,f2107]) ).

fof(f2109,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2)))) = multiply(inverse(inverse(inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(X1,inverse(multiply(X0,X2))))),
    inference(forward_demodulation,[status(thm)],[f1986,f2108]) ).

fof(f2184,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),X1))),inverse(X1))),inverse(X0))),X2)),inverse(multiply(inverse(X1),X1))),
    inference(forward_demodulation,[status(thm)],[f1946,f1865]) ).

fof(f2185,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),X0))),inverse(X0))),inverse(X1))),X2)),inverse(multiply(inverse(X0),X0))),
    inference(forward_demodulation,[status(thm)],[f1933,f2184]) ).

fof(f2186,plain,
    ! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X2))),inverse(X2))),inverse(X0))),X1)),inverse(multiply(inverse(X2),X2))),
    inference(forward_demodulation,[status(thm)],[f1264,f2185]) ).

fof(f2187,plain,
    ! [X0,X1,X2] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(X0))),X1)),inverse(multiply(inverse(X2),X2))),
    inference(forward_demodulation,[status(thm)],[f1970,f2186]) ).

fof(f2189,plain,
    ! [X0,X1] : multiply(inverse(inverse(X0)),inverse(X1)) = inverse(multiply(inverse(inverse(X1)),inverse(X0))),
    inference(backward_demodulation,[status(thm)],[f2202,f1933]) ).

fof(f2202,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
    inference(forward_demodulation,[status(thm)],[f2041,f2187]) ).

fof(f2203,plain,
    ! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)))),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
    inference(forward_demodulation,[status(thm)],[f1946,f1737]) ).

fof(f2204,plain,
    ! [X0,X1] : X0 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)))),inverse(inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
    inference(forward_demodulation,[status(thm)],[f1977,f2203]) ).

fof(f2205,plain,
    ! [X0,X1] : X0 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)))),inverse(multiply(inverse(X1),X1)))),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
    inference(forward_demodulation,[status(thm)],[f2018,f2204]) ).

fof(f2206,plain,
    ! [X0,X1] : X0 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1))),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
    inference(forward_demodulation,[status(thm)],[f1986,f2205]) ).

fof(f2207,plain,
    ! [X0,X1] : X0 = multiply(inverse(inverse(X0)),inverse(inverse(inverse(multiply(inverse(X1),X1))))),
    inference(forward_demodulation,[status(thm)],[f1970,f2206]) ).

fof(f2208,plain,
    ! [X0,X1] : X0 = multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))),
    inference(forward_demodulation,[status(thm)],[f2018,f2207]) ).

fof(f2212,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2)))) = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X1,inverse(multiply(X0,X2))))),
    inference(backward_demodulation,[status(thm)],[f2248,f2109]) ).

fof(f2248,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f2202,f2208]) ).

fof(f2317,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(inverse(inverse(X1)),inverse(X0))),
    inference(forward_demodulation,[status(thm)],[f2248,f2189]) ).

fof(f2327,plain,
    ! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
    inference(backward_demodulation,[status(thm)],[f2328,f2066]) ).

fof(f2328,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f2248,f2317]) ).

fof(f2612,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X1,inverse(multiply(X0,X2))))),
    inference(forward_demodulation,[status(thm)],[f2248,f2212]) ).

fof(f2613,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(X0,X1))))),
    inference(forward_demodulation,[status(thm)],[f2328,f2612]) ).

fof(f2614,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X2))) = inverse(multiply(X2,inverse(multiply(X0,X1)))),
    inference(forward_demodulation,[status(thm)],[f1264,f2613]) ).

fof(f2623,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X2)) = multiply(X0,multiply(X1,inverse(X2))),
    inference(forward_demodulation,[status(thm)],[f2328,f2614]) ).

fof(f4214,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X1),X0),
    inference(paramodulation,[status(thm)],[f800,f2327]) ).

fof(f4221,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != a2 ),
    inference(backward_demodulation,[status(thm)],[f4224,f799]) ).

fof(f4224,plain,
    ! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
    inference(forward_demodulation,[status(thm)],[f2248,f4214]) ).

fof(f4225,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(trivial_equality_resolution,[status(thm)],[f4221]) ).

fof(f4856,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,inverse(inverse(X2)))),
    inference(paramodulation,[status(thm)],[f2248,f2623]) ).

fof(f4874,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(backward_demodulation,[status(thm)],[f4895,f4225]) ).

fof(f4895,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f2248,f4856]) ).

fof(f4939,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f4874]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n018.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 19:57:57 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 116.81/15.13  % Refutation found
% 116.81/15.13  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 116.81/15.13  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.91/15.73  % Elapsed time: 15.363644 seconds
% 7.91/15.73  % CPU time: 118.638420 seconds
% 7.91/15.73  % Total memory used: 829.198 MB
% 7.91/15.73  % Net memory used: 793.482 MB
%------------------------------------------------------------------------------