TSTP Solution File: GRP504-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP504-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 : Fri May  3 02:22:47 EDT 2024

% Result   : Unsatisfiable 145.47s 18.73s
% Output   : CNFRefutation 145.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   96 (  96 unt;   0 nHn;   3 RR)
%            Number of literals    :   96 (  95 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  367 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    inverse(double_divide(X0,X1)) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c_60,plain,
    double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_106,plain,
    double_divide(double_divide(X0,multiply(X1,double_divide(X2,X3))),double_divide(multiply(X3,X2),multiply(double_divide(X0,X4),X4))) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_107,plain,
    double_divide(double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,X4)),double_divide(inverse(X4),multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X5),X5))))) = X3,
    inference(superposition,[status(thm)],[c_60,c_60]) ).

cnf(c_109,plain,
    multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(X3,X0))) = inverse(X3),
    inference(superposition,[status(thm)],[c_60,c_50]) ).

cnf(c_113,plain,
    multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(X4,double_divide(X1,X0)))) = inverse(X4),
    inference(superposition,[status(thm)],[c_50,c_109]) ).

cnf(c_116,plain,
    double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,multiply(X1,X3))),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X3),multiply(double_divide(X2,X5),X5)),
    inference(superposition,[status(thm)],[c_109,c_60]) ).

cnf(c_122,plain,
    double_divide(double_divide(X0,inverse(X1)),double_divide(multiply(multiply(X1,X2),X3),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X2),multiply(double_divide(X3,X5),X5)),
    inference(superposition,[status(thm)],[c_109,c_106]) ).

cnf(c_150,plain,
    double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,multiply(X1,double_divide(X3,X4)))),multiply(double_divide(X0,X5),X5))) = double_divide(multiply(X4,X3),multiply(double_divide(X2,X6),X6)),
    inference(superposition,[status(thm)],[c_113,c_60]) ).

cnf(c_172,plain,
    double_divide(double_divide(double_divide(X0,multiply(double_divide(inverse(X1),multiply(double_divide(inverse(X2),X3),X3)),X2)),multiply(X4,X5)),double_divide(inverse(X5),inverse(double_divide(X0,X1)))) = X4,
    inference(superposition,[status(thm)],[c_109,c_107]) ).

cnf(c_186,plain,
    double_divide(double_divide(double_divide(X0,multiply(double_divide(inverse(X1),multiply(double_divide(inverse(X2),X3),X3)),X2)),multiply(X4,X5)),double_divide(inverse(X5),multiply(X1,X0))) = X4,
    inference(light_normalisation,[status(thm)],[c_172,c_50]) ).

cnf(c_226,plain,
    double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(inverse(X0),multiply(double_divide(X1,X3),X3)),
    inference(superposition,[status(thm)],[c_122,c_122]) ).

cnf(c_335,plain,
    double_divide(double_divide(inverse(X0),multiply(X1,X2)),double_divide(inverse(X2),multiply(double_divide(inverse(X0),multiply(double_divide(X3,X4),X4)),multiply(double_divide(X3,X5),X5)))) = X1,
    inference(superposition,[status(thm)],[c_226,c_60]) ).

cnf(c_337,plain,
    inverse(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2))) = multiply(multiply(double_divide(X1,X3),X3),inverse(X0)),
    inference(superposition,[status(thm)],[c_226,c_50]) ).

cnf(c_419,plain,
    multiply(multiply(double_divide(X0,X1),X1),inverse(X2)) = multiply(multiply(double_divide(X0,X3),X3),inverse(X2)),
    inference(superposition,[status(thm)],[c_337,c_337]) ).

cnf(c_878,plain,
    double_divide(double_divide(X0,multiply(multiply(double_divide(X1,X2),X2),inverse(X3))),double_divide(inverse(inverse(X3)),multiply(double_divide(X0,X4),X4))) = multiply(double_divide(X1,X5),X5),
    inference(superposition,[status(thm)],[c_419,c_60]) ).

cnf(c_1566,plain,
    double_divide(double_divide(X0,multiply(X1,X2)),double_divide(inverse(double_divide(X3,multiply(double_divide(X2,X1),X4))),multiply(double_divide(X0,X5),X5))) = double_divide(inverse(X4),multiply(double_divide(X3,X6),X6)),
    inference(superposition,[status(thm)],[c_50,c_116]) ).

cnf(c_4630,plain,
    multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
    inference(superposition,[status(thm)],[c_878,c_878]) ).

cnf(c_5072,plain,
    double_divide(double_divide(X0,multiply(double_divide(X1,X2),X2)),double_divide(inverse(X3),multiply(double_divide(X0,X4),X4))) = double_divide(X1,X3),
    inference(superposition,[status(thm)],[c_4630,c_60]) ).

cnf(c_61199,plain,
    double_divide(X0,double_divide(X1,multiply(double_divide(X2,double_divide(X0,X2)),X3))) = double_divide(inverse(X3),multiply(double_divide(X1,X4),X4)),
    inference(superposition,[status(thm)],[c_1566,c_5072]) ).

cnf(c_62389,plain,
    double_divide(inverse(double_divide(double_divide(X0,multiply(X1,X2)),X0)),multiply(double_divide(inverse(X2),X3),X3)) = X1,
    inference(superposition,[status(thm)],[c_61199,c_60]) ).

cnf(c_63545,plain,
    double_divide(multiply(X0,double_divide(X0,multiply(X1,X2))),multiply(double_divide(inverse(X2),X3),X3)) = X1,
    inference(superposition,[status(thm)],[c_50,c_62389]) ).

cnf(c_63832,plain,
    multiply(X0,double_divide(inverse(X1),multiply(X2,double_divide(double_divide(X3,multiply(X0,X1)),X3)))) = inverse(X2),
    inference(superposition,[status(thm)],[c_62389,c_109]) ).

cnf(c_63962,plain,
    double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X3) = X1,
    inference(superposition,[status(thm)],[c_62389,c_335]) ).

cnf(c_64516,plain,
    double_divide(multiply(X0,double_divide(X0,multiply(X1,double_divide(X2,X3)))),multiply(double_divide(multiply(X3,X2),X4),X4)) = X1,
    inference(superposition,[status(thm)],[c_50,c_63545]) ).

cnf(c_65131,plain,
    double_divide(double_divide(multiply(X0,X1),multiply(X2,double_divide(double_divide(X3,multiply(X4,double_divide(X1,X0))),X3))),X4) = X2,
    inference(superposition,[status(thm)],[c_50,c_63962]) ).

cnf(c_65543,plain,
    double_divide(inverse(X0),multiply(double_divide(inverse(double_divide(double_divide(X1,multiply(inverse(X2),X2)),X1)),X3),X3)) = X0,
    inference(superposition,[status(thm)],[c_63962,c_62389]) ).

cnf(c_67980,plain,
    double_divide(double_divide(multiply(X0,double_divide(X0,multiply(inverse(X1),X1))),multiply(X2,X3)),X3) = X2,
    inference(superposition,[status(thm)],[c_63962,c_65131]) ).

cnf(c_69002,plain,
    double_divide(double_divide(inverse(multiply(X0,double_divide(X0,multiply(inverse(X1),X1)))),multiply(X2,X3)),X3) = X2,
    inference(superposition,[status(thm)],[c_67980,c_63962]) ).

cnf(c_69632,plain,
    double_divide(inverse(X0),multiply(double_divide(multiply(X1,double_divide(X1,multiply(inverse(X2),X2))),X3),X3)) = X0,
    inference(superposition,[status(thm)],[c_63832,c_64516]) ).

cnf(c_73899,plain,
    double_divide(multiply(X0,X1),multiply(double_divide(multiply(X2,double_divide(X2,multiply(inverse(X3),X3))),X4),X4)) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_50,c_69632]) ).

cnf(c_80615,plain,
    multiply(multiply(double_divide(multiply(X0,double_divide(X0,multiply(inverse(X1),X1))),X2),X2),multiply(X3,X4)) = inverse(double_divide(X4,X3)),
    inference(superposition,[status(thm)],[c_73899,c_50]) ).

cnf(c_80790,plain,
    double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,multiply(inverse(X3),X3)),X2))),X0) = X1,
    inference(superposition,[status(thm)],[c_73899,c_64516]) ).

cnf(c_84065,plain,
    double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,multiply(multiply(X3,X4),double_divide(X4,X3))),X2))),X0) = X1,
    inference(superposition,[status(thm)],[c_50,c_80790]) ).

cnf(c_84117,plain,
    multiply(X0,double_divide(X0,multiply(X1,double_divide(double_divide(X2,multiply(inverse(X3),X3)),X2)))) = inverse(X1),
    inference(superposition,[status(thm)],[c_80790,c_50]) ).

cnf(c_84235,plain,
    double_divide(double_divide(inverse(X0),multiply(double_divide(inverse(double_divide(double_divide(X1,multiply(inverse(X2),X2)),X1)),X3),X3)),double_divide(inverse(X4),multiply(X0,multiply(X5,X4)))) = X5,
    inference(superposition,[status(thm)],[c_80790,c_186]) ).

cnf(c_84318,plain,
    double_divide(X0,double_divide(inverse(X1),multiply(X0,multiply(X2,X1)))) = X2,
    inference(light_normalisation,[status(thm)],[c_84235,c_65543]) ).

cnf(c_84765,plain,
    multiply(double_divide(inverse(X0),multiply(X1,multiply(X2,X0))),X1) = inverse(X2),
    inference(superposition,[status(thm)],[c_84318,c_50]) ).

cnf(c_85396,plain,
    double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))) = double_divide(inverse(X4),multiply(X2,multiply(X1,X4))),
    inference(superposition,[status(thm)],[c_84765,c_60]) ).

cnf(c_87803,plain,
    double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,multiply(X1,double_divide(double_divide(X3,multiply(inverse(X4),X4)),X3)))),multiply(double_divide(X0,X5),X5))) = X2,
    inference(superposition,[status(thm)],[c_84117,c_60]) ).

cnf(c_88182,plain,
    double_divide(double_divide(X0,multiply(X1,multiply(X2,double_divide(X2,multiply(inverse(X3),X3))))),X0) = X1,
    inference(superposition,[status(thm)],[c_80790,c_84065]) ).

cnf(c_101106,plain,
    multiply(multiply(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,multiply(X1,double_divide(double_divide(X3,multiply(inverse(X4),X4)),X3)))),multiply(double_divide(X0,X5),X5))),multiply(double_divide(X2,X6),X6)),multiply(X7,X8)) = inverse(double_divide(X8,X7)),
    inference(superposition,[status(thm)],[c_150,c_80615]) ).

cnf(c_101474,plain,
    multiply(multiply(X0,multiply(double_divide(X0,X1),X1)),multiply(X2,X3)) = inverse(double_divide(X3,X2)),
    inference(light_normalisation,[status(thm)],[c_101106,c_87803]) ).

cnf(c_111279,plain,
    inverse(double_divide(X0,double_divide(inverse(X1),multiply(X0,multiply(X2,X1))))) = multiply(multiply(X3,multiply(double_divide(X3,X4),X4)),inverse(X2)),
    inference(superposition,[status(thm)],[c_84765,c_101474]) ).

cnf(c_111450,plain,
    multiply(multiply(X0,multiply(double_divide(X0,X1),X1)),inverse(X2)) = inverse(X2),
    inference(light_normalisation,[status(thm)],[c_111279,c_84318]) ).

cnf(c_111912,plain,
    double_divide(inverse(X0),multiply(double_divide(multiply(X1,double_divide(X1,multiply(inverse(X2),X2))),X3),X3)) = double_divide(inverse(X0),multiply(X4,multiply(double_divide(X4,X5),X5))),
    inference(superposition,[status(thm)],[c_111450,c_73899]) ).

cnf(c_112038,plain,
    double_divide(inverse(X0),multiply(X1,multiply(double_divide(X1,X2),X2))) = X0,
    inference(light_normalisation,[status(thm)],[c_111912,c_69632]) ).

cnf(c_112391,plain,
    double_divide(X0,double_divide(inverse(multiply(double_divide(X1,X2),X2)),multiply(double_divide(inverse(X0),X3),X3))) = X1,
    inference(superposition,[status(thm)],[c_112038,c_60]) ).

cnf(c_112554,plain,
    double_divide(multiply(X0,double_divide(X0,multiply(inverse(X1),X1))),multiply(double_divide(X2,X3),X3)) = X2,
    inference(superposition,[status(thm)],[c_112038,c_69002]) ).

cnf(c_119249,plain,
    multiply(multiply(double_divide(X0,X1),X1),multiply(X2,double_divide(X2,multiply(inverse(X3),X3)))) = inverse(X0),
    inference(superposition,[status(thm)],[c_112554,c_50]) ).

cnf(c_120167,plain,
    double_divide(double_divide(X0,inverse(X1)),X0) = multiply(double_divide(X1,X2),X2),
    inference(superposition,[status(thm)],[c_119249,c_88182]) ).

cnf(c_124024,plain,
    inverse(multiply(double_divide(X0,X1),X1)) = multiply(X2,double_divide(X2,inverse(X0))),
    inference(superposition,[status(thm)],[c_120167,c_50]) ).

cnf(c_124376,plain,
    double_divide(double_divide(X0,inverse(X1)),X0) = double_divide(double_divide(X2,inverse(X1)),X2),
    inference(superposition,[status(thm)],[c_120167,c_120167]) ).

cnf(c_124379,plain,
    double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,inverse(X1)),X2))) = X0,
    inference(superposition,[status(thm)],[c_120167,c_112038]) ).

cnf(c_125301,plain,
    inverse(multiply(double_divide(double_divide(X0,X1),X2),X2)) = multiply(X3,double_divide(X3,multiply(X1,X0))),
    inference(superposition,[status(thm)],[c_50,c_124024]) ).

cnf(c_127115,plain,
    double_divide(inverse(X0),multiply(double_divide(X1,X2),double_divide(double_divide(X3,multiply(X2,X1)),X3))) = X0,
    inference(superposition,[status(thm)],[c_50,c_124379]) ).

cnf(c_132947,plain,
    inverse(double_divide(X0,inverse(X0))) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_127115,c_84117]) ).

cnf(c_132948,plain,
    double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
    inference(superposition,[status(thm)],[c_127115,c_80790]) ).

cnf(c_132950,plain,
    double_divide(double_divide(X0,X1),multiply(X1,X0)) = double_divide(X2,inverse(X2)),
    inference(superposition,[status(thm)],[c_127115,c_84065]) ).

cnf(c_133759,plain,
    double_divide(double_divide(X0,inverse(X0)),X1) = multiply(double_divide(X1,X2),X2),
    inference(superposition,[status(thm)],[c_132948,c_120167]) ).

cnf(c_133880,plain,
    double_divide(double_divide(X0,inverse(X0)),X1) = double_divide(double_divide(X2,inverse(X1)),X2),
    inference(superposition,[status(thm)],[c_132948,c_124376]) ).

cnf(c_134631,plain,
    multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_132947,c_132947]) ).

cnf(c_135176,plain,
    multiply(multiply(X0,X1),double_divide(X1,X0)) = multiply(inverse(X2),X2),
    inference(superposition,[status(thm)],[c_50,c_134631]) ).

cnf(c_136556,plain,
    double_divide(double_divide(X0,inverse(X0)),double_divide(inverse(X1),multiply(double_divide(double_divide(X1,X2),X3),X3))) = X2,
    inference(superposition,[status(thm)],[c_132950,c_60]) ).

cnf(c_149706,plain,
    double_divide(inverse(X0),multiply(X1,multiply(double_divide(X1,X2),X0))) = X2,
    inference(superposition,[status(thm)],[c_136556,c_85396]) ).

cnf(c_150894,plain,
    double_divide(multiply(X0,X1),multiply(X2,multiply(double_divide(X2,X3),double_divide(X1,X0)))) = X3,
    inference(superposition,[status(thm)],[c_50,c_149706]) ).

cnf(c_158939,plain,
    double_divide(X0,multiply(multiply(inverse(X1),X1),double_divide(X2,X0))) = X2,
    inference(superposition,[status(thm)],[c_150894,c_88182]) ).

cnf(c_159423,plain,
    double_divide(inverse(X0),multiply(inverse(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_135176,c_158939]) ).

cnf(c_159509,plain,
    double_divide(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),multiply(multiply(inverse(X3),X3),X4)) = double_divide(X1,multiply(X4,X0)),
    inference(superposition,[status(thm)],[c_60,c_158939]) ).

cnf(c_160535,plain,
    multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_159423,c_50]) ).

cnf(c_160552,plain,
    double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),X2),X2))) = inverse(X1),
    inference(superposition,[status(thm)],[c_159423,c_60]) ).

cnf(c_160749,plain,
    inverse(multiply(double_divide(X0,X1),X1)) = X0,
    inference(demodulation,[status(thm)],[c_112391,c_160552]) ).

cnf(c_160757,plain,
    multiply(X0,double_divide(X0,multiply(X1,X2))) = double_divide(X2,X1),
    inference(demodulation,[status(thm)],[c_125301,c_160749]) ).

cnf(c_160764,plain,
    double_divide(double_divide(X0,inverse(X0)),multiply(double_divide(X1,X2),X2)) = X1,
    inference(demodulation,[status(thm)],[c_112554,c_160757]) ).

cnf(c_162005,plain,
    double_divide(double_divide(X0,inverse(X0)),multiply(double_divide(X1,X2),X2)) = double_divide(double_divide(X3,X1),X3),
    inference(superposition,[status(thm)],[c_160749,c_133880]) ).

cnf(c_162105,plain,
    double_divide(double_divide(X0,X1),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_162005,c_160764]) ).

cnf(c_162122,plain,
    double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
    inference(demodulation,[status(thm)],[c_133880,c_162105]) ).

cnf(c_162152,plain,
    multiply(double_divide(X0,X1),X1) = inverse(X0),
    inference(demodulation,[status(thm)],[c_133759,c_162122]) ).

cnf(c_162155,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_160749,c_162152]) ).

cnf(c_162169,plain,
    double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(inverse(X0),inverse(X1)),
    inference(demodulation,[status(thm)],[c_226,c_162152]) ).

cnf(c_162485,plain,
    multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(superposition,[status(thm)],[c_162155,c_160535]) ).

cnf(c_162875,plain,
    multiply(multiply(multiply(X0,X1),double_divide(X1,X0)),X2) = X2,
    inference(superposition,[status(thm)],[c_50,c_162485]) ).

cnf(c_167882,plain,
    double_divide(double_divide(inverse(X0),inverse(X1)),multiply(multiply(inverse(X2),X2),X3)) = double_divide(X1,multiply(X3,X0)),
    inference(light_normalisation,[status(thm)],[c_159509,c_162169]) ).

cnf(c_167970,plain,
    double_divide(double_divide(inverse(X0),inverse(X1)),multiply(multiply(multiply(X2,X3),double_divide(X3,X2)),X4)) = double_divide(X1,multiply(X4,X0)),
    inference(superposition,[status(thm)],[c_50,c_167882]) ).

cnf(c_168010,plain,
    inverse(multiply(multiply(inverse(X0),X0),X1)) = double_divide(inverse(X2),multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_167882,c_162122]) ).

cnf(c_168014,plain,
    double_divide(inverse(X0),multiply(X1,X0)) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_168010,c_162485]) ).

cnf(c_168302,plain,
    double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_162152,c_168014]) ).

cnf(c_168727,plain,
    double_divide(inverse(double_divide(X0,X1)),multiply(multiply(multiply(X2,X3),double_divide(X3,X2)),X4)) = double_divide(X0,multiply(X4,X1)),
    inference(light_normalisation,[status(thm)],[c_167970,c_168302]) ).

cnf(c_168728,plain,
    double_divide(multiply(X0,X1),multiply(multiply(multiply(X2,X3),double_divide(X3,X2)),X4)) = double_divide(X1,multiply(X4,X0)),
    inference(light_normalisation,[status(thm)],[c_168727,c_50]) ).

cnf(c_168819,plain,
    multiply(multiply(multiply(multiply(X0,X1),double_divide(X1,X0)),X2),multiply(X3,X4)) = inverse(double_divide(X4,multiply(X2,X3))),
    inference(superposition,[status(thm)],[c_168728,c_50]) ).

cnf(c_168830,plain,
    inverse(double_divide(X0,multiply(X1,X2))) = multiply(X1,multiply(X2,X0)),
    inference(light_normalisation,[status(thm)],[c_168819,c_162875]) ).

cnf(c_169146,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_168830,c_50]) ).

cnf(c_169168,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm)],[c_51,c_169146]) ).

cnf(c_169169,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_169168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP504-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 23:38:10 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.20/0.49  Running UEQ theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 145.47/18.73  % SZS status Started for theBenchmark.p
% 145.47/18.73  % SZS status Unsatisfiable for theBenchmark.p
% 145.47/18.73  
% 145.47/18.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 145.47/18.73  
% 145.47/18.73  ------  iProver source info
% 145.47/18.73  
% 145.47/18.73  git: date: 2024-05-02 19:28:25 +0000
% 145.47/18.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 145.47/18.73  git: non_committed_changes: false
% 145.47/18.73  
% 145.47/18.73  ------ Parsing...successful
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 145.47/18.73  
% 145.47/18.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 145.47/18.73  
% 145.47/18.73  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 145.47/18.73  ------ Proving...
% 145.47/18.73  ------ Problem Properties 
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  clauses                                 3
% 145.47/18.73  conjectures                             1
% 145.47/18.73  EPR                                     0
% 145.47/18.73  Horn                                    3
% 145.47/18.73  unary                                   3
% 145.47/18.73  binary                                  0
% 145.47/18.73  lits                                    3
% 145.47/18.73  lits eq                                 3
% 145.47/18.73  fd_pure                                 0
% 145.47/18.73  fd_pseudo                               0
% 145.47/18.73  fd_cond                                 0
% 145.47/18.73  fd_pseudo_cond                          0
% 145.47/18.73  AC symbols                              0
% 145.47/18.73  
% 145.47/18.73  ------ Input Options Time Limit: Unbounded
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  ------ 
% 145.47/18.73  Current options:
% 145.47/18.73  ------ 
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  ------ Proving...
% 145.47/18.73  
% 145.47/18.73  
% 145.47/18.73  % SZS status Unsatisfiable for theBenchmark.p
% 145.47/18.73  
% 145.47/18.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 145.47/18.73  
% 145.47/18.73  
%------------------------------------------------------------------------------