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Toma---0.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Toma---0.7
% Problem  : GRP667-4 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n006.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 Jul 15 06:44:40 AM UTC 2025

% Result   : Unsatisfiable 73.53s 73.62s
% Output   : CNFRefutation 73.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  134 ( 134 unt;   0 nHn;   3 RR)
%            Number of literals    :  134 ( 133 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  275 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
    mult(mult(a,b),mult(c,a)) != mult(mult(a,mult(b,c)),a),
    file('theBenchmark.p',goals) ).

cnf(c1,axiom,
    mult(X,unit) = X,
    file('theBenchmark.p',c05) ).

cnf(c2,axiom,
    mult(unit,X) = X,
    file('theBenchmark.p',c06) ).

cnf(c3,axiom,
    mult(rd(X,Y),Y) = X,
    file('theBenchmark.p',c03) ).

cnf(c5,axiom,
    rd(mult(X,Y),Y) = X,
    file('theBenchmark.p',c04) ).

cnf(c6,plain,
    rd(X,X) = unit,
    inference(equational,[status(thm)],[c2,c5]) ).

cnf(c7,axiom,
    mult(X,ld(X,Y)) = Y,
    file('theBenchmark.p',c01) ).

cnf(c8,plain,
    ld(unit,X) = X,
    inference(equational,[status(thm)],[c2,c7]) ).

cnf(c9,axiom,
    ld(X,mult(X,Y)) = Y,
    file('theBenchmark.p',c02) ).

cnf(c10,plain,
    ld(X,X) = unit,
    inference(equational,[status(thm)],[c1,c9]) ).

cnf(c11,axiom,
    mult(f(X),f(X)) = X,
    file('theBenchmark.p',c09) ).

cnf(c14,plain,
    ld(rd(X,Y),X) = Y,
    inference(equational,[status(thm)],[c3,c9]) ).

cnf(c15,plain,
    rd(X,ld(Y,X)) = Y,
    inference(equational,[status(thm)],[c5,c7]) ).

cnf(c16,axiom,
    mult(mult(X,Y),X) = mult(X,mult(Y,X)),
    file('theBenchmark.p',c08) ).

cnf(c17,plain,
    mult(f(X),X) = mult(X,f(X)),
    inference(equational,[status(thm)],[c11,c16]) ).

cnf(c19,plain,
    mult(X,mult(ld(X,Y),X)) = mult(Y,X),
    inference(equational,[status(thm)],[c7,c16]) ).

cnf(c20,plain,
    mult(ld(X,Y),X) = ld(X,mult(Y,X)),
    inference(equational,[status(thm)],[c9,c19]) ).

cnf(c21,plain,
    rd(mult(X,mult(Y,X)),X) = mult(X,Y),
    inference(equational,[status(thm)],[c5,c16]) ).

cnf(c22,plain,
    mult(X,rd(Y,X)) = rd(mult(X,Y),X),
    inference(equational,[status(thm)],[c3,c21]) ).

cnf(c24,plain,
    rd(ld(X,mult(Y,X)),X) = ld(X,Y),
    inference(equational,[status(thm)],[c5,c20]) ).

cnf(c25,plain,
    rd(unit,X) = ld(X,unit),
    inference(equational,[status(thm)],[c2,c10,c24]) ).

cnf(c26,plain,
    rd(f(X),X) = ld(X,f(X)),
    inference(equational,[status(thm)],[c9,c17,c24]) ).

cnf(c27,plain,
    ld(ld(X,unit),unit) = X,
    inference(equational,[status(thm)],[c15,c25]) ).

cnf(c28,plain,
    rd(ld(X,Y),X) = ld(X,rd(Y,X)),
    inference(equational,[status(thm)],[c3,c24]) ).

cnf(c35,plain,
    ld(ld(X,f(X)),f(X)) = X,
    inference(equational,[status(thm)],[c14,c26]) ).

cnf(c37,plain,
    mult(rd(X,Y),rd(mult(Y,X),Y)) = mult(X,rd(X,Y)),
    inference(equational,[status(thm)],[c3,c16,c22]) ).

cnf(c40,plain,
    ld(ld(X,Y),ld(X,mult(Y,X))) = X,
    inference(equational,[status(thm)],[c9,c20]) ).

cnf(c41,axiom,
    mult(mult(X,Y),mult(mult(Z,Y),Z)) = mult(mult(X,mult(mult(Y,Z),Y)),Z),
    file('theBenchmark.p',c07) ).

cnf(c42,plain,
    mult(mult(X,mult(Y,mult(Z,Y))),Z) = mult(mult(X,Y),mult(Z,mult(Y,Z))),
    inference(equational,[status(thm)],[c16,c41]) ).

cnf(c43,plain,
    mult(mult(X,Y),Y) = mult(X,mult(Y,Y)),
    inference(equational,[status(thm)],[c1,c2,c42]) ).

cnf(c45,plain,
    rd(mult(X,mult(Y,Y)),Y) = mult(X,Y),
    inference(equational,[status(thm)],[c5,c43]) ).

cnf(c46,plain,
    rd(mult(X,Y),f(Y)) = mult(X,f(Y)),
    inference(equational,[status(thm)],[c11,c45]) ).

cnf(c48,plain,
    mult(rd(X,Y),mult(Y,Y)) = mult(X,Y),
    inference(equational,[status(thm)],[c3,c43]) ).

cnf(c49,plain,
    mult(rd(X,f(Y)),Y) = mult(X,f(Y)),
    inference(equational,[status(thm)],[c11,c48]) ).

cnf(c50,plain,
    mult(mult(X,mult(Y,X)),Y) = mult(X,mult(Y,mult(X,Y))),
    inference(equational,[status(thm)],[c2,c42]) ).

cnf(c51,plain,
    rd(mult(X,f(Y)),Y) = rd(X,f(Y)),
    inference(equational,[status(thm)],[c5,c49]) ).

cnf(c52,plain,
    ld(X,f(X)) = ld(f(X),unit),
    inference(equational,[status(thm)],[c2,c25,c26,c51]) ).

cnf(c53,plain,
    mult(rd(X,Y),f(Y)) = rd(X,f(Y)),
    inference(equational,[status(thm)],[c3,c46]) ).

cnf(c54,plain,
    mult(rd(X,mult(Y,Y)),Y) = rd(X,Y),
    inference(equational,[status(thm)],[c3,c45]) ).

cnf(c55,plain,
    rd(rd(X,Y),Y) = rd(X,mult(Y,Y)),
    inference(equational,[status(thm)],[c5,c54]) ).

cnf(c57,plain,
    ld(mult(X,X),unit) = ld(X,ld(X,unit)),
    inference(equational,[status(thm)],[c25,c28,c55]) ).

cnf(c59,plain,
    ld(rd(X,Y),mult(X,Y)) = mult(Y,Y),
    inference(equational,[status(thm)],[c9,c48]) ).

cnf(c60,plain,
    rd(mult(X,Y),mult(Y,Y)) = rd(X,Y),
    inference(equational,[status(thm)],[c5,c48]) ).

cnf(c68,plain,
    mult(mult(X,Y),mult(X,X)) = mult(X,mult(Y,mult(X,X))),
    inference(equational,[status(thm)],[c16,c43]) ).

cnf(c77,plain,
    ld(ld(X,f(X)),unit) = f(X),
    inference(equational,[status(thm)],[c2,c10,c40,c52]) ).

cnf(c93,plain,
    mult(ld(X,Y),ld(X,Y)) = ld(X,mult(Y,ld(X,Y))),
    inference(equational,[status(thm)],[c15,c59]) ).

cnf(c104,plain,
    rd(mult(X,mult(Y,mult(X,X))),X) = mult(X,mult(Y,X)),
    inference(equational,[status(thm)],[c21,c43]) ).

cnf(c105,plain,
    rd(mult(X,mult(Y,mult(X,Y))),Y) = mult(X,mult(Y,X)),
    inference(equational,[status(thm)],[c5,c50]) ).

cnf(c121,plain,
    ld(f(X),ld(f(X),unit)) = ld(X,unit),
    inference(equational,[status(thm)],[c11,c57]) ).

cnf(c126,plain,
    mult(mult(X,Y),mult(X,mult(Y,X))) = mult(X,mult(Y,mult(X,mult(Y,X)))),
    inference(equational,[status(thm)],[c16,c42,c50]) ).

cnf(c128,plain,
    mult(X,mult(ld(X,Y),mult(Y,X))) = mult(Y,mult(Y,X)),
    inference(equational,[status(thm)],[c7,c20,c126]) ).

cnf(c129,plain,
    mult(ld(X,Y),mult(Y,X)) = ld(X,mult(Y,mult(Y,X))),
    inference(equational,[status(thm)],[c9,c128]) ).

cnf(c140,plain,
    mult(mult(X,mult(ld(Y,Z),Z)),Y) = mult(mult(X,ld(Y,Z)),mult(Z,Y)),
    inference(equational,[status(thm)],[c7,c20,c42]) ).

cnf(c155,plain,
    rd(ld(X,mult(Y,X)),f(X)) = mult(ld(X,Y),f(X)),
    inference(equational,[status(thm)],[c20,c46]) ).

cnf(c160,plain,
    ld(X,rd(mult(Y,mult(Y,X)),X)) = mult(ld(X,Y),Y),
    inference(equational,[status(thm)],[c7,c19,c28,c105,c129]) ).

cnf(c161,plain,
    mult(X,mult(ld(X,Y),Y)) = rd(mult(Y,mult(Y,X)),X),
    inference(equational,[status(thm)],[c7,c160]) ).

cnf(c164,plain,
    rd(mult(rd(X,Y),mult(Y,X)),Y) = mult(X,rd(X,Y)),
    inference(equational,[status(thm)],[c3,c22,c37,c105]) ).

cnf(c224,plain,
    rd(mult(X,mult(Y,X)),mult(X,X)) = rd(mult(X,Y),X),
    inference(equational,[status(thm)],[c16,c60]) ).

cnf(c291,plain,
    rd(mult(mult(X,Y),mult(Z,mult(Y,Z))),Z) = mult(X,mult(Y,mult(Z,Y))),
    inference(equational,[status(thm)],[c5,c42]) ).

cnf(c293,plain,
    rd(mult(X,mult(Y,mult(Z,Y))),Y) = mult(rd(X,Z),mult(Z,mult(Y,Z))),
    inference(equational,[status(thm)],[c3,c291]) ).

cnf(c294,plain,
    mult(ld(X,unit),mult(X,mult(Y,X))) = mult(Y,X),
    inference(equational,[status(thm)],[c2,c21,c25,c293]) ).

cnf(c295,plain,
    mult(ld(X,unit),mult(X,Y)) = Y,
    inference(equational,[status(thm)],[c3,c294]) ).

cnf(c296,plain,
    rd(X,mult(Y,X)) = ld(Y,unit),
    inference(equational,[status(thm)],[c5,c295]) ).

cnf(c297,plain,
    ld(ld(X,unit),Y) = mult(X,Y),
    inference(equational,[status(thm)],[c9,c295]) ).

cnf(c299,plain,
    mult(ld(X,unit),Y) = ld(X,Y),
    inference(equational,[status(thm)],[c7,c295]) ).

cnf(c300,plain,
    rd(ld(X,Y),Y) = ld(X,unit),
    inference(equational,[status(thm)],[c5,c299]) ).

cnf(c301,plain,
    ld(rd(X,Y),unit) = rd(Y,X),
    inference(equational,[status(thm)],[c3,c296]) ).

cnf(c302,plain,
    mult(ld(X,Y),Y) = ld(X,mult(Y,Y)),
    inference(equational,[status(thm)],[c43,c299]) ).

cnf(c303,plain,
    mult(rd(X,Y),Z) = ld(rd(Y,X),Z),
    inference(equational,[status(thm)],[c299,c301]) ).

cnf(c304,plain,
    rd(mult(X,X),Y) = rd(X,rd(Y,X)),
    inference(equational,[status(thm)],[c55,c301]) ).

cnf(c305,plain,
    ld(ld(X,f(X)),Y) = mult(f(X),Y),
    inference(equational,[status(thm)],[c52,c297]) ).

cnf(c307,plain,
    mult(ld(X,f(X)),Y) = ld(f(X),Y),
    inference(equational,[status(thm)],[c52,c299]) ).

cnf(c308,plain,
    rd(ld(X,Y),f(Y)) = ld(X,f(Y)),
    inference(equational,[status(thm)],[c46,c299]) ).

cnf(c310,plain,
    mult(X,rd(X,Y)) = rd(X,rd(Y,X)),
    inference(equational,[status(thm)],[c59,c164,c303,c304]) ).

cnf(c316,plain,
    rd(X,mult(Y,f(X))) = rd(f(X),Y),
    inference(equational,[status(thm)],[c51,c301]) ).

cnf(c319,plain,
    mult(X,ld(Y,unit)) = rd(X,Y),
    inference(equational,[status(thm)],[c5,c296,c310]) ).

cnf(c320,plain,
    rd(X,ld(Y,unit)) = mult(X,Y),
    inference(equational,[status(thm)],[c15,c300,c310]) ).

cnf(c326,plain,
    ld(X,rd(X,Y)) = ld(Y,unit),
    inference(equational,[status(thm)],[c295,c299,c319]) ).

cnf(c327,plain,
    ld(mult(X,Y),X) = ld(Y,unit),
    inference(equational,[status(thm)],[c14,c320]) ).

cnf(c328,plain,
    rd(X,mult(X,mult(Y,X))) = ld(mult(X,Y),unit),
    inference(equational,[status(thm)],[c16,c296]) ).

cnf(c330,plain,
    rd(mult(X,ld(Y,X)),X) = rd(X,Y),
    inference(equational,[status(thm)],[c21,c299,c319]) ).

cnf(c331,plain,
    rd(mult(X,Y),X) = rd(X,rd(X,Y)),
    inference(equational,[status(thm)],[c14,c330]) ).

cnf(c332,plain,
    mult(X,ld(Y,X)) = ld(rd(Y,X),X),
    inference(equational,[status(thm)],[c3,c303,c330]) ).

cnf(c333,plain,
    rd(rd(X,Y),X) = rd(X,mult(X,Y)),
    inference(equational,[status(thm)],[c301,c331]) ).

cnf(c335,plain,
    mult(f(X),ld(Y,X)) = ld(rd(Y,f(X)),X),
    inference(equational,[status(thm)],[c11,c16,c49,c302,c303,c330]) ).

cnf(c336,plain,
    rd(ld(X,unit),Y) = ld(mult(Y,X),unit),
    inference(equational,[status(thm)],[c296,c328,c333]) ).

cnf(c337,plain,
    rd(X,ld(X,mult(Y,X))) = ld(ld(X,Y),unit),
    inference(equational,[status(thm)],[c20,c296]) ).

cnf(c338,plain,
    rd(ld(X,Y),mult(Y,Y)) = ld(mult(Y,X),unit),
    inference(equational,[status(thm)],[c60,c299,c336]) ).

cnf(c345,plain,
    rd(mult(X,mult(X,Y)),Y) = mult(X,X),
    inference(equational,[status(thm)],[c7,c161,c302]) ).

cnf(c346,plain,
    mult(mult(X,X),Y) = mult(X,mult(X,Y)),
    inference(equational,[status(thm)],[c3,c345]) ).

cnf(c347,plain,
    ld(ld(X,Y),unit) = ld(Y,X),
    inference(equational,[status(thm)],[c299,c320,c336]) ).

cnf(c348,plain,
    rd(f(X),ld(Y,X)) = ld(f(X),Y),
    inference(equational,[status(thm)],[c301,c308,c347]) ).

cnf(c350,plain,
    ld(mult(X,Y),mult(X,X)) = ld(Y,X),
    inference(equational,[status(thm)],[c3,c299,c338]) ).

cnf(c351,plain,
    ld(ld(X,Y),X) = ld(Y,mult(X,X)),
    inference(equational,[status(thm)],[c7,c350]) ).

cnf(c356,plain,
    ld(ld(X,ld(X,unit)),Y) = mult(X,mult(X,Y)),
    inference(equational,[status(thm)],[c57,c297,c346]) ).

cnf(c357,plain,
    ld(mult(X,X),Y) = ld(X,ld(X,Y)),
    inference(equational,[status(thm)],[c27,c297,c299,c356]) ).

cnf(c364,plain,
    rd(f(X),rd(Y,f(X))) = rd(X,Y),
    inference(equational,[status(thm)],[c53,c296,c301]) ).

cnf(c365,plain,
    mult(f(X),rd(X,Y)) = rd(X,rd(Y,f(X))),
    inference(equational,[status(thm)],[c14,c164,c303,c364]) ).

cnf(c366,plain,
    ld(f(X),ld(f(X),Y)) = ld(X,Y),
    inference(equational,[status(thm)],[c35,c77,c307,c356]) ).

cnf(c369,plain,
    mult(f(X),mult(f(X),Y)) = mult(X,Y),
    inference(equational,[status(thm)],[c121,c297,c356]) ).

cnf(c372,plain,
    mult(X,rd(Y,Z)) = rd(X,rd(Z,Y)),
    inference(equational,[status(thm)],[c301,c320]) ).

cnf(c375,plain,
    rd(f(X),ld(X,Y)) = ld(rd(Y,f(X)),X),
    inference(equational,[status(thm)],[c155,c316,c335,c337,c347,c365]) ).

cnf(c376,plain,
    rd(X,ld(X,Y)) = ld(rd(Y,X),X),
    inference(equational,[status(thm)],[c11,c55,c310,c335,c364,c375]) ).

cnf(c379,plain,
    mult(ld(f(X),Y),Z) = ld(ld(Y,f(X)),Z),
    inference(equational,[status(thm)],[c303,c308,c348]) ).

cnf(c380,plain,
    mult(ld(X,Y),Z) = ld(ld(Y,X),Z),
    inference(equational,[status(thm)],[c11,c351,c366,c379]) ).

cnf(c382,plain,
    mult(X,ld(Y,Z)) = rd(X,ld(Z,Y)),
    inference(equational,[status(thm)],[c21,c300,c301,c332,c380]) ).

cnf(c392,plain,
    ld(mult(X,Y),unit) = ld(Y,ld(X,unit)),
    inference(equational,[status(thm)],[c299,c319,c336]) ).

cnf(c464,plain,
    ld(mult(X,Y),mult(X,mult(Y,mult(X,X)))) = mult(X,X),
    inference(equational,[status(thm)],[c9,c68]) ).

cnf(c465,plain,
    ld(mult(X,Y),rd(X,Y)) = ld(Y,ld(Y,unit)),
    inference(equational,[status(thm)],[c2,c93,c224,c294,c297,c299,c301,c326,c331,c382,c464]) ).

cnf(c466,plain,
    ld(ld(rd(X,Y),Y),X) = ld(ld(X,Y),ld(Y,X)),
    inference(equational,[status(thm)],[c6,c93,c347,c376,c382,c465]) ).

cnf(c467,plain,
    ld(ld(X,Y),ld(Y,X)) = ld(Y,ld(rd(Y,X),X)),
    inference(equational,[status(thm)],[c7,c347,c376,c465]) ).

cnf(c470,plain,
    rd(mult(X,mult(Y,mult(X,X))),mult(X,X)) = mult(X,Y),
    inference(equational,[status(thm)],[c5,c68]) ).

cnf(c479,plain,
    ld(ld(X,ld(Y,unit)),Z) = mult(mult(Y,X),Z),
    inference(equational,[status(thm)],[c104,c303,c304,c328,c392,c470]) ).

cnf(c507,plain,
    ld(ld(X,Y),ld(ld(Y,ld(Y,X)),X)) = mult(Y,X),
    inference(equational,[status(thm)],[c7,c128,c351,c357,c380]) ).

cnf(c513,plain,
    rd(X,ld(Y,ld(rd(Y,X),X))) = ld(rd(X,Y),Y),
    inference(equational,[status(thm)],[c14,c297,c303,c326,c382,c466,c467,c507]) ).

cnf(c640,plain,
    rd(ld(rd(ld(X,Y),Z),mult(X,Y)),Y) = rd(Z,ld(X,ld(X,Y))),
    inference(equational,[status(thm)],[c5,c140,c303,c351,c357,c380,c382]) ).

cnf(c642,plain,
    ld(rd(ld(X,ld(X,Y)),Z),Y) = ld(rd(ld(X,Y),Z),mult(X,Y)),
    inference(equational,[status(thm)],[c3,c303,c640]) ).

cnf(c654,plain,
    ld(rd(ld(X,Y),Z),mult(X,Y)) = ld(rd(Y,Z),mult(X,mult(X,Y))),
    inference(equational,[status(thm)],[c9,c642]) ).

cnf(c670,plain,
    rd(ld(rd(X,Y),mult(Z,mult(Z,X))),X) = rd(Y,ld(Z,ld(Z,X))),
    inference(equational,[status(thm)],[c7,c19,c291,c303,c351,c357,c380,c382,c654]) ).

cnf(c674,plain,
    rd(ld(X,mult(Y,mult(Y,Z))),Z) = rd(ld(X,Z),ld(Y,ld(Y,Z))),
    inference(equational,[status(thm)],[c15,c670]) ).

cnf(c680,plain,
    rd(ld(X,ld(Y,Z)),Z) = rd(ld(X,Z),mult(Y,Z)),
    inference(equational,[status(thm)],[c305,c307,c366,c369,c674]) ).

cnf(c712,plain,
    rd(ld(rd(rd(X,Y),Z),mult(X,Y)),X) = rd(Z,rd(X,mult(Y,Y))),
    inference(equational,[status(thm)],[c3,c22,c37,c55,c291,c303,c372]) ).

cnf(c713,plain,
    rd(ld(rd(X,Y),Z),X) = rd(Y,ld(rd(Z,X),X)),
    inference(equational,[status(thm)],[c14,c15,c93,c303,c376,c382,c513,c680,c712]) ).

cnf(c724,plain,
    rd(ld(X,Y),ld(rd(Z,Y),Y)) = rd(ld(X,Z),Y),
    inference(equational,[status(thm)],[c15,c713]) ).

cnf(c739,plain,
    rd(ld(X,mult(Y,mult(Z,Y))),Y) = ld(ld(Y,X),Z),
    inference(equational,[status(thm)],[c21,c320,c327,c380,c724]) ).

cnf(c740,plain,
    ld(ld(X,Y),ld(Z,unit)) = rd(ld(Y,X),Z),
    inference(equational,[status(thm)],[c14,c299,c303,c376,c382,c680,c739]) ).

cnf(c743,plain,
    ld(ld(X,ld(Y,Z)),Y) = ld(Z,mult(Y,mult(X,Y))),
    inference(equational,[status(thm)],[c3,c380,c739]) ).

cnf(c754,plain,
    rd(ld(X,ld(Y,unit)),Z) = ld(mult(Y,X),ld(Z,unit)),
    inference(equational,[status(thm)],[c297,c740]) ).

cnf(c759,plain,
    ld(rd(ld(X,Y),Z),ld(X,Z)) = ld(rd(Y,Z),Z),
    inference(equational,[status(thm)],[c14,c724]) ).

cnf(c760,plain,
    ld(rd(mult(X,Y),Z),Z) = ld(rd(Y,Z),ld(X,Z)),
    inference(equational,[status(thm)],[c9,c759]) ).

cnf(c761,plain,
    ld(rd(ld(X,Y),Z),Z) = ld(rd(Y,Z),mult(X,Z)),
    inference(equational,[status(thm)],[c297,c299,c760]) ).

cnf(c777,plain,
    mult(mult(X,Y),mult(Z,X)) = mult(X,mult(mult(Y,Z),X)),
    inference(equational,[status(thm)],[c8,c336,c392,c479,c743,c754,c761]) ).

cnf(g1,plain,
    mult(mult(a,b),mult(c,a)) = mult(mult(a,mult(b,c)),a),
    inference(equational,[status(thm)],[c16,c777]) ).

cnf(g2,plain,
    $false,
    inference(resolution,[status(thm)],[g0,g1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP667-4 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.11  % Command  : run_Leo-III %s %d THM
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Jul 14 08:49:34 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 73.53/73.62  % SZS status Unsatisfiable
% 73.53/73.62  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------