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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n015.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 : Fri Sep 25 01:25:09 PM UTC 2026

% Result   : Unsatisfiable 13.87s 2.29s
% Output   : Proof 13.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   56
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  127 ( 123 unt;   0 def)
%            Number of atoms       :  139 ( 138 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  18   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-4 aty)
%            Number of variables   :  248 (   2 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f3,negated_conjecture,
    ( multiply(a4,b4) != multiply(b4,a4)
    | 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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).

fof(f3_nnf,plain,
    ( multiply(a4,b4) != multiply(b4,a4)
    | 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) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ( multiply(a4,b4) != multiply(b4,a4)
    | 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) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( multiply(a4,b4) != multiply(b4,a4)
    | 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) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(t4,plain,
    ifeq(multiply(inverse(a1),a1),multiply(inverse(b1),b1),ifeq(multiply(multiply(inverse(b2),b2),a2),a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(f1,axiom,
    multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f1_nnf,plain,
    ! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(t3,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(f2,axiom,
    inverse(X) = divide(divide(Z,Z),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f2_nnf,plain,
    ! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    inverse(X0) = divide(divide(X1,X1),X0),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(t1,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(t6,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(orient,[status(thm)],[t1]) ).

cnf(t814,plain,
    divide(X1,inverse(X3)) = multiply(X1,X3),
    inference(step,[status(thm)],[t3,t6]) ).

cnf(t11,plain,
    divide(X1,inverse(X2)) = multiply(X1,X2),
    inference(orient,[status(thm)],[t814]) ).

cnf(t12,plain,
    multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
    inference(cp,[status(thm)],[t11,t6]) ).

cnf(t16,plain,
    multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
    inference(orient,[status(thm)],[t12]) ).

cnf(t18,plain,
    inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1),
    inference(cp,[status(thm)],[t16,t11]) ).

cnf(t25,plain,
    multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)),
    inference(orient,[status(thm)],[t18]) ).

cnf(t817,plain,
    ifeq(multiply(inverse(a1),a1),multiply(inverse(b1),b1),ifeq(inverse(inverse(a2)),a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(step,[status(thm)],[t4,t25]) ).

cnf(t138,plain,
    ifeq(multiply(inverse(a1),a1),multiply(inverse(b1),b1),ifeq(inverse(inverse(a2)),a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(orient,[status(thm)],[t817]) ).

cnf(t313,plain,
    ifeq(multiply(inverse(a1),a1),multiply(inverse(b1),b1),ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(rw,[status(thm)],[t138]) ).

cnf(f0,axiom,
    divide(X,divide(Y,divide(Z,divide(X,Y)))) = Z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f0_nnf,plain,
    ! [X,Y,Z] : divide(X,divide(Y,divide(Z,divide(X,Y)))) = Z,
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X,Y,Z] : divide(X,divide(Y,divide(Z,divide(X,Y)))) = Z,
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(t2,plain,
    divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(t34,plain,
    divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
    inference(orient,[status(thm)],[t2]) ).

cnf(t35,plain,
    X1 = inverse(divide(X2,divide(X1,divide(divide(X3,X3),X2)))),
    inference(cp,[status(thm)],[t34,t6]) ).

cnf(t815,plain,
    X1 = inverse(divide(X2,divide(X1,inverse(X2)))),
    inference(step,[status(thm)],[t35,t6]) ).

cnf(t816,plain,
    X1 = inverse(divide(X2,multiply(X1,X2))),
    inference(step,[status(thm)],[t815,t11]) ).

cnf(t49,plain,
    inverse(divide(X1,multiply(X2,X1))) = X2,
    inference(orient,[status(thm)],[t816]) ).

cnf(t50,plain,
    X1 = inverse(inverse(multiply(X1,divide(X2,X2)))),
    inference(cp,[status(thm)],[t49,t6]) ).

cnf(t69,plain,
    inverse(inverse(multiply(X1,divide(X2,X2)))) = X1,
    inference(orient,[status(thm)],[t50]) ).

cnf(t52,plain,
    divide(X1,X1) = inverse(divide(X2,inverse(inverse(X2)))),
    inference(cp,[status(thm)],[t49,t16]) ).

cnf(t818,plain,
    divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
    inference(step,[status(thm)],[t52,t11]) ).

cnf(t139,plain,
    divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
    inference(orient,[status(thm)],[t818]) ).

cnf(t147,plain,
    divide(X1,X2) = divide(X1,divide(X2,inverse(multiply(X3,inverse(X3))))),
    inference(cp,[status(thm)],[t34,t139]) ).

cnf(t819,plain,
    divide(X1,X2) = divide(X1,multiply(X2,multiply(X3,inverse(X3)))),
    inference(step,[status(thm)],[t147,t11]) ).

cnf(t184,plain,
    divide(X1,multiply(X2,multiply(X3,inverse(X3)))) = divide(X1,X2),
    inference(orient,[status(thm)],[t819]) ).

cnf(t212,plain,
    X1 = inverse(divide(multiply(X2,inverse(X2)),X1)),
    inference(cp,[status(thm)],[t49,t184]) ).

cnf(t252,plain,
    inverse(divide(multiply(X1,inverse(X1)),X2)) = X2,
    inference(orient,[status(thm)],[t212]) ).

cnf(t254,plain,
    X1 = inverse(divide(inverse(inverse(inverse(divide(X2,X2)))),X1)),
    inference(cp,[status(thm)],[t252,t16]) ).

cnf(t7,plain,
    inverse(X1) = divide(inverse(divide(X2,X2)),X1),
    inference(cp,[status(thm)],[t6,t6]) ).

cnf(t8,plain,
    divide(inverse(divide(X1,X1)),X2) = inverse(X2),
    inference(orient,[status(thm)],[t7]) ).

cnf(t10,plain,
    inverse(X1) = divide(inverse(inverse(inverse(divide(X2,X2)))),X1),
    inference(cp,[status(thm)],[t8,t8]) ).

cnf(t94,plain,
    divide(inverse(inverse(inverse(divide(X1,X1)))),X2) = inverse(X2),
    inference(orient,[status(thm)],[t10]) ).

cnf(t821,plain,
    X1 = inverse(inverse(X1)),
    inference(step,[status(thm)],[t254,t94]) ).

cnf(t296,plain,
    inverse(inverse(X1)) = X1,
    inference(orient,[status(thm)],[t821]) ).

cnf(t830,plain,
    multiply(X1,divide(X2,X2)) = X1,
    inference(step,[status(thm)],[t69,t296]) ).

cnf(t307,plain,
    multiply(X1,divide(X2,X2)) = X1,
    inference(rw,[status(thm)],[t830]) ).

cnf(t331,plain,
    multiply(X1,divide(X2,X2)) = X1,
    inference(orient,[status(thm)],[t307]) ).

cnf(t332,plain,
    X1 = multiply(X1,inverse(divide(X2,X2))),
    inference(cp,[status(thm)],[t331,t6]) ).

cnf(t317,plain,
    multiply(X1,inverse(X2)) = divide(X1,X2),
    inference(cp,[status(thm)],[t11,t296]) ).

cnf(t323,plain,
    multiply(X1,inverse(X2)) = divide(X1,X2),
    inference(orient,[status(thm)],[t317]) ).

cnf(t836,plain,
    X1 = divide(X1,divide(X2,X2)),
    inference(step,[status(thm)],[t332,t323]) ).

cnf(t346,plain,
    divide(X1,divide(X2,X2)) = X1,
    inference(orient,[status(thm)],[t836]) ).

cnf(t351,plain,
    X1 = divide(X2,divide(divide(X3,X3),divide(X1,X2))),
    inference(cp,[status(thm)],[t34,t346]) ).

cnf(t837,plain,
    X1 = divide(X2,inverse(divide(X1,X2))),
    inference(step,[status(thm)],[t351,t6]) ).

cnf(t838,plain,
    X1 = multiply(X2,divide(X1,X2)),
    inference(step,[status(thm)],[t837,t11]) ).

cnf(t357,plain,
    multiply(X1,divide(X2,X1)) = X2,
    inference(orient,[status(thm)],[t838]) ).

cnf(t350,plain,
    X1 = divide(X2,divide(X2,X1)),
    inference(cp,[status(thm)],[t34,t346]) ).

cnf(t352,plain,
    divide(X1,divide(X1,X2)) = X2,
    inference(orient,[status(thm)],[t350]) ).

cnf(t361,plain,
    X1 = multiply(divide(X1,X2),X2),
    inference(cp,[status(thm)],[t357,t352]) ).

cnf(t388,plain,
    multiply(divide(X1,X2),X2) = X1,
    inference(orient,[status(thm)],[t361]) ).

cnf(t316,plain,
    divide(X1,multiply(X2,X1)) = inverse(X2),
    inference(cp,[status(thm)],[t296,t49]) ).

cnf(t338,plain,
    divide(X1,multiply(X2,X1)) = inverse(X2),
    inference(orient,[status(thm)],[t316]) ).

cnf(t362,plain,
    inverse(X1) = divide(divide(X2,X1),X2),
    inference(cp,[status(thm)],[t338,t357]) ).

cnf(t392,plain,
    divide(divide(X1,X2),X1) = inverse(X2),
    inference(orient,[status(thm)],[t362]) ).

cnf(t398,plain,
    divide(X1,X2) = multiply(inverse(X2),X1),
    inference(cp,[status(thm)],[t388,t392]) ).

cnf(t399,plain,
    multiply(inverse(X1),X2) = divide(X2,X1),
    inference(orient,[status(thm)],[t398]) ).

cnf(t844,plain,
    ifeq(divide(a1,a1),multiply(inverse(b1),b1),ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(step,[status(thm)],[t313,t399]) ).

cnf(t822,plain,
    multiply(divide(X1,X1),X2) = X2,
    inference(step,[status(thm)],[t16,t296]) ).

cnf(t297,plain,
    multiply(divide(X1,X1),X2) = X2,
    inference(orient,[status(thm)],[t822]) ).

cnf(t333,plain,
    divide(X1,X1) = divide(X2,X2),
    inference(cp,[status(thm)],[t331,t297]) ).

cnf(t425,plain,
    divide(X1,X1) = divide(X2,X2),
    inference(orient,[status(thm)],[t333]) ).

cnf(t845,plain,
    ifeq(divide(f1,f1),multiply(inverse(b1),b1),ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(step,[status(thm)],[t844,t425]) ).

cnf(t846,plain,
    ifeq(divide(f1,f1),divide(b1,b1),ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(step,[status(thm)],[t845,t399]) ).

cnf(t847,plain,
    ifeq(divide(f1,f1),divide(f1,f1),ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true),true) = true,
    inference(step,[status(thm)],[t846,t425]) ).

cnf(t0,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t5,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t0]) ).

cnf(t848,plain,
    ifeq(a2,a2,ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true),true) = true,
    inference(step,[status(thm)],[t847,t5]) ).

cnf(t849,plain,
    ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true) = true,
    inference(step,[status(thm)],[t848,t5]) ).

cnf(t427,plain,
    ifeq(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)),ifeq(multiply(a4,b4),multiply(b4,a4),false,true),true) = true,
    inference(orient,[status(thm)],[t849]) ).

cnf(t441,plain,
    ifeq(multiply(c3,multiply(b3,a3)),multiply(a3,multiply(c3,b3)),ifeq(multiply(b4,a4),multiply(b4,a4),false,true),true) = true,
    inference(rw,[status(thm)],[t427]) ).

cnf(t353,plain,
    inverse(X1) = divide(X2,multiply(X2,X1)),
    inference(cp,[status(thm)],[t352,t11]) ).

cnf(t363,plain,
    divide(X1,multiply(X1,X2)) = inverse(X2),
    inference(orient,[status(thm)],[t353]) ).

cnf(t364,plain,
    inverse(divide(X1,X2)) = divide(X2,X1),
    inference(cp,[status(thm)],[t363,t357]) ).

cnf(t367,plain,
    inverse(divide(X1,X2)) = divide(X2,X1),
    inference(orient,[status(thm)],[t364]) ).

cnf(t402,plain,
    divide(X1,divide(X2,X3)) = multiply(divide(X3,X2),X1),
    inference(cp,[status(thm)],[t399,t367]) ).

cnf(t372,plain,
    multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)),
    inference(cp,[status(thm)],[t11,t367]) ).

cnf(t407,plain,
    divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
    inference(orient,[status(thm)],[t372]) ).

cnf(t843,plain,
    multiply(X1,divide(X3,X2)) = multiply(divide(X3,X2),X1),
    inference(step,[status(thm)],[t402,t407]) ).

cnf(t420,plain,
    multiply(X1,divide(X2,X3)) = multiply(divide(X2,X3),X1),
    inference(orient,[status(thm)],[t843]) ).

cnf(t422,plain,
    multiply(divide(X1,inverse(X2)),X3) = multiply(X3,multiply(X1,X2)),
    inference(cp,[status(thm)],[t420,t11]) ).

cnf(t889,plain,
    multiply(multiply(X1,X2),X3) = multiply(X3,multiply(X1,X2)),
    inference(step,[status(thm)],[t422,t11]) ).

cnf(t841,plain,
    multiply(X1,divide(divide(X3,divide(X1,X2)),X2)) = X3,
    inference(step,[status(thm)],[t34,t407]) ).

cnf(t842,plain,
    multiply(X1,divide(multiply(X3,divide(X2,X1)),X2)) = X3,
    inference(step,[status(thm)],[t841,t407]) ).

cnf(t408,plain,
    multiply(X1,divide(multiply(X2,divide(X3,X1)),X3)) = X2,
    inference(rw,[status(thm)],[t842]) ).

cnf(t487,plain,
    multiply(X1,divide(multiply(X2,divide(X3,X1)),X3)) = X2,
    inference(orient,[status(thm)],[t408]) ).

cnf(t509,plain,
    inverse(divide(multiply(X1,divide(X2,X3)),X2)) = divide(X3,X1),
    inference(cp,[status(thm)],[t363,t487]) ).

cnf(t854,plain,
    divide(X2,multiply(X1,divide(X2,X3))) = divide(X3,X1),
    inference(step,[status(thm)],[t509,t367]) ).

cnf(t415,plain,
    multiply(X1,divide(divide(X2,X3),Y3)) = divide(X1,multiply(Y3,divide(X3,X2))),
    inference(cp,[status(thm)],[t407,t407]) ).

cnf(t443,plain,
    divide(X1,multiply(X2,divide(X3,Y3))) = multiply(X1,divide(divide(Y3,X3),X2)),
    inference(orient,[status(thm)],[t415]) ).

cnf(t855,plain,
    multiply(X2,divide(divide(X3,X2),X1)) = divide(X3,X1),
    inference(step,[status(thm)],[t854,t443]) ).

cnf(t515,plain,
    multiply(X1,divide(divide(X2,X1),X3)) = divide(X2,X3),
    inference(orient,[status(thm)],[t855]) ).

cnf(t360,plain,
    X1 = multiply(multiply(X2,X1),inverse(X2)),
    inference(cp,[status(thm)],[t357,t338]) ).

cnf(t839,plain,
    X1 = divide(multiply(X2,X1),X2),
    inference(step,[status(thm)],[t360,t323]) ).

cnf(t384,plain,
    divide(multiply(X1,X2),X1) = X2,
    inference(orient,[status(thm)],[t839]) ).

cnf(t520,plain,
    divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
    inference(cp,[status(thm)],[t515,t384]) ).

cnf(t535,plain,
    divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
    inference(orient,[status(thm)],[t520]) ).

cnf(t539,plain,
    multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3),
    inference(cp,[status(thm)],[t535,t11]) ).

cnf(t862,plain,
    multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
    inference(step,[status(thm)],[t539,t11]) ).

cnf(t575,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(orient,[status(thm)],[t862]) ).

cnf(t890,plain,
    multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X1,X2)),
    inference(step,[status(thm)],[t889,t575]) ).

cnf(t706,plain,
    multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X1,X2)),
    inference(orient,[status(thm)],[t890]) ).

cnf(t900,plain,
    ifeq(multiply(c3,multiply(b3,a3)),multiply(b3,multiply(a3,c3)),ifeq(multiply(b4,a4),multiply(b4,a4),false,true),true) = true,
    inference(step,[status(thm)],[t441,t706]) ).

cnf(t901,plain,
    ifeq(multiply(c3,multiply(b3,a3)),multiply(c3,multiply(b3,a3)),ifeq(multiply(b4,a4),multiply(b4,a4),false,true),true) = true,
    inference(step,[status(thm)],[t900,t706]) ).

cnf(t902,plain,
    ifeq(multiply(b4,a4),multiply(b4,a4),false,true) = true,
    inference(step,[status(thm)],[t901,t5]) ).

cnf(t903,plain,
    false = true,
    inference(step,[status(thm)],[t902,t5]) ).

cnf(t813,plain,
    false = true,
    inference(orient,[status(thm)],[t903]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t813]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Wed Sep 23 13:33:09 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.87/2.29  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/2.29  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------