%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 11:23:38 EDT 2022

% Result   : Unsatisfiable 197.94s 198.22s
% Output   : Refutation 197.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    input ).

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

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

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

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

cnf(c12,plain,
    ( X33 != inverse(double_divide(X32,X34))
    | X33 = multiply(X34,X32) ),
    inference(resolution,status(thm),[c4,transitivity]) ).

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

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

cnf(c7,plain,
    ( X68 != inverse(double_divide(double_divide(X69,X66),inverse(double_divide(X69,inverse(double_divide(X67,X66))))))
    | X68 = X67 ),
    inference(resolution,status(thm),[single_axiom,transitivity]) ).

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

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

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

cnf(c40,plain,
    ( X55 != X54
    | multiply(X55,X56) = multiply(X54,X56) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c47,plain,
    multiply(multiply(X73,X74),X75) = multiply(inverse(double_divide(X74,X73)),X75),
    inference(resolution,status(thm),[c40,multiply]) ).

cnf(c70,plain,
    multiply(multiply(X124,X123),X125) = inverse(double_divide(X125,inverse(double_divide(X123,X124)))),
    inference(resolution,status(thm),[c47,c6]) ).

cnf(c151,plain,
    multiply(multiply(inverse(double_divide(X130,X129)),X131),double_divide(X131,X129)) = X130,
    inference(resolution,status(thm),[c70,c7]) ).

cnf(c165,plain,
    ( X393 != multiply(multiply(inverse(double_divide(X392,X391)),X390),double_divide(X390,X391))
    | X393 = X392 ),
    inference(resolution,status(thm),[c151,transitivity]) ).

cnf(c71,plain,
    multiply(multiply(multiply(X547,X546),X548),X549) = multiply(multiply(inverse(double_divide(X546,X547)),X548),X549),
    inference(resolution,status(thm),[c47,c40]) ).

cnf(c1519,plain,
    multiply(multiply(multiply(X551,X552),X550),double_divide(X550,X551)) = X552,
    inference(resolution,status(thm),[c71,c165]) ).

cnf(c1530,plain,
    ( X598 != multiply(multiply(multiply(X596,X597),X599),double_divide(X599,X596))
    | X598 = X597 ),
    inference(resolution,status(thm),[c1519,transitivity]) ).

cnf(c1524,plain,
    X553 = multiply(multiply(multiply(X554,X553),X555),double_divide(X555,X554)),
    inference(resolution,status(thm),[c1519,symmetry]) ).

cnf(c1569,plain,
    multiply(X735,X738) = multiply(multiply(multiply(multiply(X737,X735),X736),double_divide(X736,X737)),X738),
    inference(resolution,status(thm),[c1524,c40]) ).

cnf(c2454,plain,
    multiply(X739,double_divide(double_divide(X740,X741),multiply(X741,X739))) = X740,
    inference(resolution,status(thm),[c1569,c1530]) ).

cnf(c2486,plain,
    ( X776 != multiply(X773,double_divide(double_divide(X775,X774),multiply(X774,X773)))
    | X776 = X775 ),
    inference(resolution,status(thm),[c2454,transitivity]) ).

cnf(c2460,plain,
    multiply(multiply(X9086,X9090),X9089) = multiply(multiply(multiply(multiply(multiply(X9087,X9086),X9088),double_divide(X9088,X9087)),X9090),X9089),
    inference(resolution,status(thm),[c1569,c40]) ).

cnf(c108660,plain,
    multiply(multiply(X9097,X9100),double_divide(X9100,multiply(multiply(X9099,X9097),X9098))) = double_divide(X9098,X9099),
    inference(resolution,status(thm),[c2460,c1530]) ).

cnf(c108974,plain,
    double_divide(X9106,X9105) = multiply(multiply(X9107,X9108),double_divide(X9108,multiply(multiply(X9105,X9107),X9106))),
    inference(resolution,status(thm),[c108660,symmetry]) ).

cnf(c109101,plain,
    double_divide(multiply(X9109,double_divide(X9111,multiply(X9110,X9109))),X9110) = X9111,
    inference(resolution,status(thm),[c108974,c2486]) ).

cnf(c109218,plain,
    ( X9147 != double_divide(multiply(X9148,double_divide(X9146,multiply(X9145,X9148))),X9145)
    | X9147 = X9146 ),
    inference(resolution,status(thm),[c109101,transitivity]) ).

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

cnf(c25,plain,
    ( X44 != X43
    | double_divide(X44,X45) = double_divide(X43,X45) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c2480,plain,
    X747 = multiply(X749,double_divide(double_divide(X747,X748),multiply(X748,X749))),
    inference(resolution,status(thm),[c2454,symmetry]) ).

cnf(c2614,plain,
    multiply(X925,X928) = multiply(multiply(X927,double_divide(double_divide(X925,X926),multiply(X926,X927))),X928),
    inference(resolution,status(thm),[c2480,c40]) ).

cnf(c3886,plain,
    multiply(multiply(X12510,X12512),X12511) = multiply(multiply(multiply(X12509,double_divide(double_divide(X12510,X12513),multiply(X12513,X12509))),X12512),X12511),
    inference(resolution,status(thm),[c2614,c40]) ).

cnf(c184221,plain,
    multiply(multiply(X12517,X12516),double_divide(X12516,X12515)) = double_divide(double_divide(X12517,X12514),multiply(X12514,X12515)),
    inference(resolution,status(thm),[c3886,c1530]) ).

cnf(c184437,plain,
    double_divide(double_divide(X12520,X12519),multiply(X12519,X12518)) = multiply(multiply(X12520,X12521),double_divide(X12521,X12518)),
    inference(resolution,status(thm),[c184221,symmetry]) ).

cnf(c184514,plain,
    double_divide(double_divide(multiply(X12523,X12524),X12522),multiply(X12522,X12523)) = X12524,
    inference(resolution,status(thm),[c184437,c1530]) ).

cnf(c184773,plain,
    X12530 = double_divide(double_divide(multiply(X12532,X12530),X12531),multiply(X12531,X12532)),
    inference(resolution,status(thm),[c184514,symmetry]) ).

cnf(c185106,plain,
    inverse(X12619) = inverse(double_divide(double_divide(multiply(X12620,X12619),X12621),multiply(X12621,X12620))),
    inference(resolution,status(thm),[c184773,c0]) ).

cnf(c188115,plain,
    inverse(X12624) = multiply(multiply(X12622,X12623),double_divide(multiply(X12623,X12624),X12622)),
    inference(resolution,status(thm),[c185106,c12]) ).

cnf(c188230,plain,
    multiply(inverse(X13412),X13413) = multiply(multiply(multiply(X13411,X13410),double_divide(multiply(X13410,X13412),X13411)),X13413),
    inference(resolution,status(thm),[c188115,c40]) ).

cnf(c210950,plain,
    multiply(inverse(X13416),double_divide(double_divide(multiply(X13415,X13416),X13414),X13414)) = X13415,
    inference(resolution,status(thm),[c188230,c1530]) ).

cnf(c211230,plain,
    X13417 = multiply(inverse(X13419),double_divide(double_divide(multiply(X13417,X13419),X13418),X13418)),
    inference(resolution,status(thm),[c210950,symmetry]) ).

cnf(c211377,plain,
    double_divide(X14121,X14119) = double_divide(multiply(inverse(X14120),double_divide(double_divide(multiply(X14121,X14120),X14122),X14122)),X14119),
    inference(resolution,status(thm),[c211230,c25]) ).

cnf(c232363,plain,
    double_divide(X14125,X14124) = double_divide(multiply(X14125,X14123),multiply(X14124,inverse(X14123))),
    inference(resolution,status(thm),[c211377,c109218]) ).

cnf(c232503,plain,
    inverse(double_divide(X14183,X14181)) = inverse(double_divide(multiply(X14183,X14182),multiply(X14181,inverse(X14182)))),
    inference(resolution,status(thm),[c232363,c0]) ).

cnf(c234438,plain,
    inverse(double_divide(X14184,X14186)) = multiply(multiply(X14186,inverse(X14185)),multiply(X14184,X14185)),
    inference(resolution,status(thm),[c232503,c12]) ).

cnf(c234580,plain,
    multiply(multiply(X14189,inverse(X14188)),multiply(X14187,X14188)) = inverse(double_divide(X14187,X14189)),
    inference(resolution,status(thm),[c234438,symmetry]) ).

cnf(c234759,plain,
    multiply(multiply(X14190,inverse(X14191)),multiply(X14192,X14191)) = multiply(X14190,X14192),
    inference(resolution,status(thm),[c234580,c12]) ).

cnf(c234881,plain,
    ( X14355 != multiply(multiply(X14356,inverse(X14357)),multiply(X14354,X14357))
    | X14355 = multiply(X14356,X14354) ),
    inference(resolution,status(thm),[c234759,transitivity]) ).

cnf(c109279,plain,
    ( X10164 != X10166
    | multiply(X10164,double_divide(multiply(X10167,double_divide(X10165,multiply(X10168,X10167))),X10168)) = multiply(X10166,X10165) ),
    inference(resolution,status(thm),[c109101,c2]) ).

cnf(c130958,plain,
    multiply(X10169,double_divide(multiply(X10170,double_divide(X10171,multiply(X10172,X10170))),X10172)) = multiply(X10169,X10171),
    inference(resolution,status(thm),[c109279,reflexivity]) ).

cnf(c131192,plain,
    multiply(X10173,X10176) = multiply(X10173,double_divide(multiply(X10174,double_divide(X10176,multiply(X10175,X10174))),X10175)),
    inference(resolution,status(thm),[c130958,symmetry]) ).

cnf(c131276,plain,
    multiply(multiply(multiply(X10183,X10185),multiply(X10184,double_divide(X10182,multiply(X10183,X10184)))),X10182) = X10185,
    inference(resolution,status(thm),[c131192,c1530]) ).

cnf(c131588,plain,
    ( X11369 != multiply(multiply(multiply(X11370,X11372),multiply(X11368,double_divide(X11371,multiply(X11370,X11368)))),X11371)
    | X11369 = X11372 ),
    inference(resolution,status(thm),[c131276,transitivity]) ).

cnf(c1536,plain,
    ( X3621 != X3624
    | multiply(X3621,multiply(multiply(multiply(X3625,X3622),X3623),double_divide(X3623,X3625))) = multiply(X3624,X3622) ),
    inference(resolution,status(thm),[c1519,c2]) ).

cnf(c28855,plain,
    multiply(X3626,multiply(multiply(multiply(X3629,X3627),X3628),double_divide(X3628,X3629))) = multiply(X3626,X3627),
    inference(resolution,status(thm),[c1536,reflexivity]) ).

cnf(c28949,plain,
    ( X6170 != multiply(X6171,multiply(multiply(multiply(X6173,X6174),X6172),double_divide(X6172,X6173)))
    | X6170 = multiply(X6171,X6174) ),
    inference(resolution,status(thm),[c28855,transitivity]) ).

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

cnf(c390,plain,
    multiply(X225,multiply(X224,X226)) = multiply(X225,inverse(double_divide(X226,X224))),
    inference(resolution,status(thm),[c41,reflexivity]) ).

cnf(c418,plain,
    multiply(multiply(X1385,multiply(X1387,X1386)),X1388) = multiply(multiply(X1385,inverse(double_divide(X1386,X1387))),X1388),
    inference(resolution,status(thm),[c390,c40]) ).

cnf(c240870,plain,
    multiply(multiply(X14534,multiply(X14535,X14537)),multiply(X14536,double_divide(X14537,X14535))) = multiply(X14534,X14536),
    inference(resolution,status(thm),[c234881,c418]) ).

cnf(c246532,plain,
    multiply(X14608,X14610) = multiply(multiply(X14608,multiply(X14607,X14609)),multiply(X14610,double_divide(X14609,X14607))),
    inference(resolution,status(thm),[c240870,symmetry]) ).

cnf(c247389,plain,
    multiply(X14625,multiply(multiply(X14626,X14623),X14624)) = multiply(multiply(X14625,multiply(X14626,X14624)),X14623),
    inference(resolution,status(thm),[c246532,c28949]) ).

cnf(c247916,plain,
    multiply(multiply(X14669,X14668),multiply(multiply(X14667,X14670),double_divide(X14670,multiply(X14669,X14667)))) = X14668,
    inference(resolution,status(thm),[c247389,c131588]) ).

cnf(c249640,plain,
    X14776 = multiply(multiply(X14778,X14776),multiply(multiply(X14777,X14779),double_divide(X14779,multiply(X14778,X14777)))),
    inference(resolution,status(thm),[c247916,symmetry]) ).

cnf(c253874,plain,
    inverse(double_divide(X14782,multiply(X14781,X14780))) = multiply(X14781,multiply(X14780,X14782)),
    inference(resolution,status(thm),[c249640,c234881]) ).

cnf(c253982,plain,
    multiply(X14784,multiply(X14783,X14785)) = inverse(double_divide(X14785,multiply(X14784,X14783))),
    inference(resolution,status(thm),[c253874,symmetry]) ).

cnf(c254170,plain,
    multiply(X14787,multiply(X14788,X14786)) = multiply(multiply(X14787,X14788),X14786),
    inference(resolution,status(thm),[c253982,c12]) ).

cnf(c254328,plain,
    multiply(multiply(X14801,X14802),X14800) = multiply(X14801,multiply(X14802,X14800)),
    inference(resolution,status(thm),[c254170,symmetry]) ).

cnf(c255005,plain,
    $false,
    inference(resolution,status(thm),[c254328,prove_these_axioms_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 12:08:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 197.94/198.22  # Version:  1.3
% 197.94/198.22  # SZS status Unsatisfiable
% 197.94/198.22  # SZS output start CNFRefutation
% See solution above
% 197.94/198.22  
% 197.94/198.22  # Initial clauses    : 9
% 197.94/198.22  # Processed clauses  : 1749
% 197.94/198.22  # Factors computed   : 0
% 197.94/198.22  # Resolvents computed: 255025
% 197.94/198.22  # Tautologies deleted: 1
% 197.94/198.22  # Forward subsumed   : 2104
% 197.94/198.22  # Backward subsumed  : 0
% 197.94/198.22  # -------- CPU Time ---------
% 197.94/198.22  # User time          : 197.193 s
% 197.94/198.22  # System time        : 0.612 s
% 197.94/198.22  # Total time         : 197.805 s
%------------------------------------------------------------------------------