%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP593-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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  : 600s
% DateTime : Sat Jul 16 11:23:37 EDT 2022

% Result   : Unsatisfiable 264.39s 264.66s
% Output   : Refutation 264.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    input ).

cnf(transitivity,axiom,
    ( X9 != X10
    | X10 != X8
    | X9 = X8 ),
    eq_axiom ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c2,plain,
    ( X51 != X53
    | X50 != X52
    | multiply(X51,X50) = multiply(X53,X52) ),
    eq_axiom ).

cnf(single_axiom,axiom,
    inverse(double_divide(double_divide(X11,X12),inverse(double_divide(X11,inverse(double_divide(X13,X12)))))) = X13,
    input ).

cnf(c8,plain,
    ( X87 != inverse(double_divide(double_divide(X85,X86),inverse(double_divide(X85,inverse(double_divide(X84,X86))))))
    | X87 = X84 ),
    inference(resolution,status(thm),[single_axiom,transitivity]) ).

cnf(multiply,axiom,
    multiply(X6,X7) = inverse(double_divide(X7,X6)),
    input ).

cnf(c6,plain,
    ( X25 != multiply(X24,X23)
    | X25 = inverse(double_divide(X23,X24)) ),
    inference(resolution,status(thm),[transitivity,multiply]) ).

cnf(c39,plain,
    ( X54 != X56
    | multiply(X54,X55) = multiply(X56,X55) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c47,plain,
    multiply(multiply(X74,X73),X72) = multiply(inverse(double_divide(X73,X74)),X72),
    inference(resolution,status(thm),[c39,multiply]) ).

cnf(c74,plain,
    multiply(multiply(X125,X124),X123) = inverse(double_divide(X123,inverse(double_divide(X124,X125)))),
    inference(resolution,status(thm),[c47,c6]) ).

cnf(c149,plain,
    multiply(multiply(inverse(double_divide(X131,X130)),X129),double_divide(X129,X130)) = X131,
    inference(resolution,status(thm),[c74,c8]) ).

cnf(c160,plain,
    ( X396 != multiply(multiply(inverse(double_divide(X394,X395)),X393),double_divide(X393,X395))
    | X396 = X394 ),
    inference(resolution,status(thm),[c149,transitivity]) ).

cnf(c77,plain,
    multiply(multiply(multiply(X636,X634),X637),X635) = multiply(multiply(inverse(double_divide(X634,X636)),X637),X635),
    inference(resolution,status(thm),[c47,c39]) ).

cnf(c1860,plain,
    multiply(multiply(multiply(X640,X638),X639),double_divide(X639,X640)) = X638,
    inference(resolution,status(thm),[c77,c160]) ).

cnf(c1882,plain,
    ( X3665 != X3668
    | multiply(X3665,multiply(multiply(multiply(X3669,X3666),X3667),double_divide(X3667,X3669))) = multiply(X3668,X3666) ),
    inference(resolution,status(thm),[c1860,c2]) ).

cnf(c29827,plain,
    multiply(X3670,multiply(multiply(multiply(X3673,X3671),X3672),double_divide(X3672,X3673))) = multiply(X3670,X3671),
    inference(resolution,status(thm),[c1882,reflexivity]) ).

cnf(c30045,plain,
    ( X6215 != multiply(X6213,multiply(multiply(multiply(X6214,X6216),X6217),double_divide(X6217,X6214)))
    | X6215 = multiply(X6213,X6216) ),
    inference(resolution,status(thm),[c29827,transitivity]) ).

cnf(symmetry,axiom,
    ( X3 != X4
    | X4 = X3 ),
    eq_axiom ).

cnf(c142,plain,
    inverse(double_divide(X164,inverse(double_divide(X162,X163)))) = multiply(multiply(X163,X162),X164),
    inference(resolution,status(thm),[c74,symmetry]) ).

cnf(c228,plain,
    ( X1269 != inverse(double_divide(X1267,inverse(double_divide(X1266,X1268))))
    | X1269 = multiply(multiply(X1268,X1266),X1267) ),
    inference(resolution,status(thm),[c142,transitivity]) ).

cnf(c1875,plain,
    ( X691 != multiply(multiply(multiply(X690,X688),X689),double_divide(X689,X690))
    | X691 = X688 ),
    inference(resolution,status(thm),[c1860,transitivity]) ).

cnf(c4,plain,
    inverse(double_divide(X19,X20)) = multiply(X20,X19),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c13,plain,
    ( X34 != inverse(double_divide(X32,X33))
    | X34 = multiply(X33,X32) ),
    inference(resolution,status(thm),[c4,transitivity]) ).

cnf(c0,plain,
    ( X16 != X17
    | inverse(X16) = inverse(X17) ),
    eq_axiom ).

cnf(c1887,plain,
    X643 = multiply(multiply(multiply(X642,X643),X641),double_divide(X641,X642)),
    inference(resolution,status(thm),[c1860,symmetry]) ).

cnf(c1927,plain,
    multiply(X764,X765) = multiply(multiply(multiply(multiply(X763,X764),X762),double_divide(X762,X763)),X765),
    inference(resolution,status(thm),[c1887,c39]) ).

cnf(c2729,plain,
    multiply(X770,double_divide(double_divide(X771,X772),multiply(X772,X770))) = X771,
    inference(resolution,status(thm),[c1927,c1875]) ).

cnf(c2854,plain,
    X774 = multiply(X773,double_divide(double_divide(X774,X775),multiply(X775,X773))),
    inference(resolution,status(thm),[c2729,symmetry]) ).

cnf(c2904,plain,
    multiply(X950,X951) = multiply(multiply(X949,double_divide(double_divide(X950,X948),multiply(X948,X949))),X951),
    inference(resolution,status(thm),[c2854,c39]) ).

cnf(c4084,plain,
    multiply(multiply(X12532,X12534),X12531) = multiply(multiply(multiply(X12535,double_divide(double_divide(X12532,X12533),multiply(X12533,X12535))),X12534),X12531),
    inference(resolution,status(thm),[c2904,c39]) ).

cnf(c184823,plain,
    multiply(multiply(X12538,X12537),double_divide(X12537,X12539)) = double_divide(double_divide(X12538,X12536),multiply(X12536,X12539)),
    inference(resolution,status(thm),[c4084,c1875]) ).

cnf(c185046,plain,
    double_divide(double_divide(X12541,X12542),multiply(X12542,X12543)) = multiply(multiply(X12541,X12540),double_divide(X12540,X12543)),
    inference(resolution,status(thm),[c184823,symmetry]) ).

cnf(c185114,plain,
    double_divide(double_divide(multiply(X12552,X12550),X12551),multiply(X12551,X12552)) = X12550,
    inference(resolution,status(thm),[c185046,c1875]) ).

cnf(c185575,plain,
    X12554 = double_divide(double_divide(multiply(X12555,X12554),X12553),multiply(X12553,X12555)),
    inference(resolution,status(thm),[c185114,symmetry]) ).

cnf(c185630,plain,
    inverse(X12647) = inverse(double_divide(double_divide(multiply(X12646,X12647),X12648),multiply(X12648,X12646))),
    inference(resolution,status(thm),[c185575,c0]) ).

cnf(c188687,plain,
    inverse(X12656) = multiply(multiply(X12655,X12654),double_divide(multiply(X12654,X12656),X12655)),
    inference(resolution,status(thm),[c185630,c13]) ).

cnf(c189080,plain,
    multiply(inverse(X13469),X13468) = multiply(multiply(multiply(X13466,X13467),double_divide(multiply(X13467,X13469),X13466)),X13468),
    inference(resolution,status(thm),[c188687,c39]) ).

cnf(c213375,plain,
    multiply(inverse(X13471),double_divide(double_divide(multiply(X13470,X13471),X13472),X13472)) = X13470,
    inference(resolution,status(thm),[c189080,c1875]) ).

cnf(c213494,plain,
    ( X13506 != multiply(inverse(X13504),double_divide(double_divide(multiply(X13503,X13504),X13505),X13505))
    | X13506 = X13503 ),
    inference(resolution,status(thm),[c213375,transitivity]) ).

cnf(c2848,plain,
    ( X4079 != X4082
    | multiply(X4079,multiply(X4081,double_divide(double_divide(X4080,X4083),multiply(X4083,X4081)))) = multiply(X4082,X4080) ),
    inference(resolution,status(thm),[c2729,c2]) ).

cnf(c35655,plain,
    multiply(X4085,multiply(X4087,double_divide(double_divide(X4086,X4084),multiply(X4084,X4087)))) = multiply(X4085,X4086),
    inference(resolution,status(thm),[c2848,reflexivity]) ).

cnf(c35900,plain,
    ( X6543 != multiply(X6539,multiply(X6541,double_divide(double_divide(X6540,X6542),multiply(X6542,X6541))))
    | X6543 = multiply(X6539,X6540) ),
    inference(resolution,status(thm),[c35655,transitivity]) ).

cnf(c1918,plain,
    X654 = inverse(double_divide(double_divide(X653,X652),multiply(multiply(X652,X654),X653))),
    inference(resolution,status(thm),[c1887,c6]) ).

cnf(c2012,plain,
    inverse(double_divide(double_divide(X669,X670),multiply(multiply(X670,X671),X669))) = X671,
    inference(resolution,status(thm),[c1918,symmetry]) ).

cnf(c2132,plain,
    ( X867 != inverse(double_divide(double_divide(X866,X865),multiply(multiply(X865,X864),X866)))
    | X867 = X864 ),
    inference(resolution,status(thm),[c2012,transitivity]) ).

cnf(c2841,plain,
    ( X800 != multiply(X798,double_divide(double_divide(X797,X799),multiply(X799,X798)))
    | X800 = X797 ),
    inference(resolution,status(thm),[c2729,transitivity]) ).

cnf(c2744,plain,
    multiply(multiply(X9114,X9115),X9112) = multiply(multiply(multiply(multiply(multiply(X9113,X9114),X9111),double_divide(X9111,X9113)),X9115),X9112),
    inference(resolution,status(thm),[c1927,c39]) ).

cnf(c109366,plain,
    multiply(multiply(X9119,X9117),double_divide(X9117,multiply(multiply(X9116,X9119),X9118))) = double_divide(X9118,X9116),
    inference(resolution,status(thm),[c2744,c1875]) ).

cnf(c109568,plain,
    double_divide(X9131,X9128) = multiply(multiply(X9130,X9129),double_divide(X9129,multiply(multiply(X9128,X9130),X9131))),
    inference(resolution,status(thm),[c109366,symmetry]) ).

cnf(c109715,plain,
    double_divide(multiply(X9134,double_divide(X9133,multiply(X9132,X9134))),X9132) = X9133,
    inference(resolution,status(thm),[c109568,c2841]) ).

cnf(c109824,plain,
    ( X9167 != double_divide(multiply(X9166,double_divide(X9164,multiply(X9165,X9166))),X9165)
    | X9167 = X9164 ),
    inference(resolution,status(thm),[c109715,transitivity]) ).

cnf(c1,plain,
    ( X36 != X38
    | X35 != X37
    | double_divide(X36,X35) = double_divide(X38,X37) ),
    eq_axiom ).

cnf(c24,plain,
    ( X44 != X43
    | double_divide(X44,X45) = double_divide(X43,X45) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c213710,plain,
    X13480 = multiply(inverse(X13479),double_divide(double_divide(multiply(X13480,X13479),X13478),X13478)),
    inference(resolution,status(thm),[c213375,symmetry]) ).

cnf(c213907,plain,
    double_divide(X14221,X14220) = double_divide(multiply(inverse(X14219),double_divide(double_divide(multiply(X14221,X14219),X14218),X14218)),X14220),
    inference(resolution,status(thm),[c213710,c24]) ).

cnf(c232731,plain,
    double_divide(X14224,X14222) = double_divide(multiply(X14224,X14223),multiply(X14222,inverse(X14223))),
    inference(resolution,status(thm),[c213907,c109824]) ).

cnf(c232864,plain,
    inverse(double_divide(X14283,X14282)) = inverse(double_divide(multiply(X14283,X14281),multiply(X14282,inverse(X14281)))),
    inference(resolution,status(thm),[c232731,c0]) ).

cnf(c234781,plain,
    inverse(double_divide(X14285,X14284)) = multiply(multiply(X14284,inverse(X14286)),multiply(X14285,X14286)),
    inference(resolution,status(thm),[c232864,c13]) ).

cnf(c235069,plain,
    multiply(multiply(X14288,inverse(X14289)),multiply(X14287,X14289)) = inverse(double_divide(X14287,X14288)),
    inference(resolution,status(thm),[c234781,symmetry]) ).

cnf(c235089,plain,
    multiply(multiply(X14291,inverse(X14290)),multiply(X14292,X14290)) = multiply(X14291,X14292),
    inference(resolution,status(thm),[c235069,c13]) ).

cnf(c235267,plain,
    ( X14459 != multiply(multiply(X14457,inverse(X14458)),multiply(X14456,X14458))
    | X14459 = multiply(X14457,X14456) ),
    inference(resolution,status(thm),[c235089,transitivity]) ).

cnf(c109992,plain,
    ( X10178 != X10181
    | multiply(X10178,double_divide(multiply(X10179,double_divide(X10177,multiply(X10180,X10179))),X10180)) = multiply(X10181,X10177) ),
    inference(resolution,status(thm),[c109715,c2]) ).

cnf(c131067,plain,
    multiply(X10183,double_divide(multiply(X10185,double_divide(X10184,multiply(X10182,X10185))),X10182)) = multiply(X10183,X10184),
    inference(resolution,status(thm),[c109992,reflexivity]) ).

cnf(c131770,plain,
    multiply(X10186,X10188) = multiply(X10186,double_divide(multiply(X10189,double_divide(X10188,multiply(X10187,X10189))),X10187)),
    inference(resolution,status(thm),[c131067,symmetry]) ).

cnf(c131828,plain,
    multiply(multiply(multiply(X10193,X10191),multiply(X10192,double_divide(X10190,multiply(X10193,X10192)))),X10190) = X10191,
    inference(resolution,status(thm),[c131770,c1875]) ).

cnf(c131930,plain,
    ( X11381 != multiply(multiply(multiply(X11379,X11378),multiply(X11382,double_divide(X11380,multiply(X11379,X11382)))),X11380)
    | X11381 = X11378 ),
    inference(resolution,status(thm),[c131828,transitivity]) ).

cnf(c41,plain,
    ( X220 != X222
    | multiply(X220,multiply(X223,X221)) = multiply(X222,inverse(double_divide(X221,X223))) ),
    inference(resolution,status(thm),[c2,multiply]) ).

cnf(c404,plain,
    multiply(X224,multiply(X226,X225)) = multiply(X224,inverse(double_divide(X225,X226))),
    inference(resolution,status(thm),[c41,reflexivity]) ).

cnf(c417,plain,
    multiply(multiply(X1405,multiply(X1406,X1408)),X1407) = multiply(multiply(X1405,inverse(double_divide(X1408,X1406))),X1407),
    inference(resolution,status(thm),[c404,c39]) ).

cnf(c238800,plain,
    multiply(multiply(X14642,multiply(X14641,X14640)),multiply(X14639,double_divide(X14640,X14641))) = multiply(X14642,X14639),
    inference(resolution,status(thm),[c235267,c417]) ).

cnf(c242849,plain,
    multiply(X14710,X14711) = multiply(multiply(X14710,multiply(X14712,X14713)),multiply(X14711,double_divide(X14713,X14712))),
    inference(resolution,status(thm),[c238800,symmetry]) ).

cnf(c243719,plain,
    multiply(X14739,multiply(multiply(X14741,X14742),X14740)) = multiply(multiply(X14739,multiply(X14741,X14740)),X14742),
    inference(resolution,status(thm),[c242849,c30045]) ).

cnf(c244457,plain,
    multiply(multiply(X14775,X14774),multiply(multiply(X14776,X14777),double_divide(X14777,multiply(X14775,X14776)))) = X14774,
    inference(resolution,status(thm),[c243719,c131930]) ).

cnf(c245926,plain,
    X14819 = multiply(multiply(X14816,X14819),multiply(multiply(X14817,X14818),double_divide(X14818,multiply(X14816,X14817)))),
    inference(resolution,status(thm),[c244457,symmetry]) ).

cnf(c246978,plain,
    inverse(double_divide(X14828,multiply(X14827,X14826))) = multiply(X14827,multiply(X14826,X14828)),
    inference(resolution,status(thm),[c245926,c235267]) ).

cnf(c247417,plain,
    multiply(X14829,multiply(X14830,X14831)) = inverse(double_divide(X14831,multiply(X14829,X14830))),
    inference(resolution,status(thm),[c246978,symmetry]) ).

cnf(c247585,plain,
    multiply(multiply(X14836,X14835),multiply(X14837,double_divide(X14837,X14836))) = X14835,
    inference(resolution,status(thm),[c247417,c2132]) ).

cnf(c248017,plain,
    X14852 = multiply(multiply(X14851,X14852),multiply(X14850,double_divide(X14850,X14851))),
    inference(resolution,status(thm),[c247585,symmetry]) ).

cnf(c248422,plain,
    X14859 = multiply(multiply(multiply(X14860,double_divide(X14858,X14860)),X14859),X14858),
    inference(resolution,status(thm),[c248017,c35900]) ).

cnf(c248575,plain,
    X14866 = double_divide(double_divide(X14866,X14867),X14867),
    inference(resolution,status(thm),[c248422,c1875]) ).

cnf(c248861,plain,
    inverse(X14883) = inverse(double_divide(double_divide(X14883,X14882),X14882)),
    inference(resolution,status(thm),[c248575,c0]) ).

cnf(c250890,plain,
    inverse(X14884) = multiply(X14885,double_divide(X14884,X14885)),
    inference(resolution,status(thm),[c248861,c13]) ).

cnf(c251136,plain,
    inverse(double_divide(multiply(X14914,X14913),inverse(X14913))) = X14914,
    inference(resolution,status(thm),[c250890,c213494]) ).

cnf(c252403,plain,
    X14918 = inverse(double_divide(multiply(X14918,X14917),inverse(X14917))),
    inference(resolution,status(thm),[c251136,symmetry]) ).

cnf(c252557,plain,
    X15062 = multiply(multiply(X15061,X15060),multiply(X15062,double_divide(X15060,X15061))),
    inference(resolution,status(thm),[c252403,c228]) ).

cnf(c261158,plain,
    multiply(multiply(X15280,X15281),X15279) = multiply(multiply(X15280,X15279),X15281),
    inference(resolution,status(thm),[c252557,c30045]) ).

cnf(c247439,plain,
    multiply(X14833,multiply(X14832,X14834)) = multiply(multiply(X14833,X14832),X14834),
    inference(resolution,status(thm),[c247417,c13]) ).

cnf(c247754,plain,
    multiply(multiply(X14847,X14849),X14848) = multiply(X14847,multiply(X14849,X14848)),
    inference(resolution,status(thm),[c247439,symmetry]) ).

cnf(c252436,plain,
    X14920 = multiply(inverse(X14919),multiply(X14920,X14919)),
    inference(resolution,status(thm),[c252403,c13]) ).

cnf(c252728,plain,
    multiply(inverse(X14922),multiply(X14921,X14922)) = X14921,
    inference(resolution,status(thm),[c252436,symmetry]) ).

cnf(c252765,plain,
    ( X15096 != multiply(inverse(X15094),multiply(X15095,X15094))
    | X15096 = X15095 ),
    inference(resolution,status(thm),[c252728,transitivity]) ).

cnf(c263490,plain,
    multiply(multiply(inverse(X15104),X15103),X15104) = X15103,
    inference(resolution,status(thm),[c252765,c247754]) ).

cnf(c263774,plain,
    ( X15302 != multiply(multiply(inverse(X15301),X15300),X15301)
    | X15302 = X15300 ),
    inference(resolution,status(thm),[c263490,transitivity]) ).

cnf(c269708,plain,
    multiply(multiply(inverse(X15326),X15326),X15325) = X15325,
    inference(resolution,status(thm),[c263774,c261158]) ).

cnf(c271648,plain,
    ( X15737 != multiply(multiply(inverse(X15736),X15736),X15735)
    | X15737 = X15735 ),
    inference(resolution,status(thm),[c269708,transitivity]) ).

cnf(c271880,plain,
    X15331 = multiply(multiply(inverse(X15332),X15332),X15331),
    inference(resolution,status(thm),[c269708,symmetry]) ).

cnf(c271921,plain,
    multiply(X15357,X15356) = multiply(inverse(inverse(X15356)),X15357),
    inference(resolution,status(thm),[c271880,c235267]) ).

cnf(c272483,plain,
    multiply(multiply(X15358,inverse(X15359)),X15359) = X15358,
    inference(resolution,status(thm),[c271921,c252765]) ).

cnf(c272577,plain,
    ( X16155 != multiply(multiply(X16153,inverse(X16154)),X16154)
    | X16155 = X16153 ),
    inference(resolution,status(thm),[c272483,transitivity]) ).

cnf(c315031,plain,
    multiply(X16167,multiply(inverse(X16168),X16168)) = X16167,
    inference(resolution,status(thm),[c272577,c247439]) ).

cnf(c315705,plain,
    X16183 = multiply(X16183,multiply(inverse(X16184),X16184)),
    inference(resolution,status(thm),[c315031,symmetry]) ).

cnf(c316676,plain,
    multiply(inverse(X16245),X16245) = multiply(inverse(X16244),X16244),
    inference(resolution,status(thm),[c315705,c271648]) ).

cnf(c318728,plain,
    $false,
    inference(resolution,status(thm),[c316676,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP593-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 10:41:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 264.39/264.66  # Version:  1.3
% 264.39/264.66  # SZS status Unsatisfiable
% 264.39/264.66  # SZS output start CNFRefutation
% See solution above
% 264.39/264.66  
% 264.39/264.66  # Initial clauses    : 9
% 264.39/264.66  # Processed clauses  : 2010
% 264.39/264.66  # Factors computed   : 0
% 264.39/264.66  # Resolvents computed: 318787
% 264.39/264.66  # Tautologies deleted: 1
% 264.39/264.66  # Forward subsumed   : 2373
% 264.39/264.66  # Backward subsumed  : 0
% 264.39/264.66  # -------- CPU Time ---------
% 264.39/264.66  # User time          : 263.464 s
% 264.39/264.66  # System time        : 0.786 s
% 264.39/264.66  # Total time         : 264.250 s
%------------------------------------------------------------------------------