%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 11:23:22 EDT 2022

% Result   : Unsatisfiable 34.82s 35.02s
% Output   : Refutation 34.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

cnf(transitivity,axiom,
    ( X7 != X8
    | X8 != X6
    | X7 = X6 ),
    eq_axiom ).

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

cnf(c0,plain,
    ( X17 != X19
    | X18 != X20
    | multiply(X17,X18) = multiply(X19,X20) ),
    eq_axiom ).

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

cnf(c4,plain,
    ( X25 != multiply(multiply(multiply(X24,X26),X27),inverse(multiply(X24,X27)))
    | X25 = X26 ),
    inference(resolution,status(thm),[single_axiom,transitivity]) ).

cnf(c8,plain,
    ( X23 != X22
    | multiply(X23,X21) = multiply(X22,X21) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

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

cnf(c5,plain,
    X31 = multiply(multiply(multiply(X30,X31),X32),inverse(multiply(X30,X32))),
    inference(resolution,status(thm),[single_axiom,symmetry]) ).

cnf(c17,plain,
    multiply(X71,X70) = multiply(multiply(multiply(multiply(X68,X71),X69),inverse(multiply(X68,X69))),X70),
    inference(resolution,status(thm),[c5,c8]) ).

cnf(c51,plain,
    multiply(X73,inverse(multiply(multiply(X72,X73),inverse(multiply(X72,X74))))) = X74,
    inference(resolution,status(thm),[c17,c4]) ).

cnf(c58,plain,
    ( X102 != multiply(X103,inverse(multiply(multiply(X101,X103),inverse(multiply(X101,X104)))))
    | X102 = X104 ),
    inference(resolution,status(thm),[c51,transitivity]) ).

cnf(c11,plain,
    multiply(multiply(multiply(multiply(X64,X65),X67),inverse(multiply(X64,X67))),X66) = multiply(X65,X66),
    inference(resolution,status(thm),[c8,single_axiom]) ).

cnf(c42,plain,
    ( X206 != multiply(multiply(multiply(multiply(X202,X203),X204),inverse(multiply(X202,X204))),X205)
    | X206 = multiply(X203,X205) ),
    inference(resolution,status(thm),[c11,transitivity]) ).

cnf(c53,plain,
    multiply(multiply(X425,X424),X422) = multiply(multiply(multiply(multiply(multiply(X421,X425),X423),inverse(multiply(X421,X423))),X424),X422),
    inference(resolution,status(thm),[c17,c8]) ).

cnf(c1,plain,
    ( X14 != X15
    | inverse(X14) = inverse(X15) ),
    eq_axiom ).

cnf(c14,plain,
    inverse(X44) = inverse(multiply(multiply(multiply(X43,X44),X45),inverse(multiply(X43,X45)))),
    inference(resolution,status(thm),[c5,c1]) ).

cnf(c28,plain,
    ( X211 != X213
    | multiply(X211,inverse(X209)) = multiply(X213,inverse(multiply(multiply(multiply(X210,X209),X212),inverse(multiply(X210,X212))))) ),
    inference(resolution,status(thm),[c14,c0]) ).

cnf(c272,plain,
    multiply(X345,inverse(X347)) = multiply(X345,inverse(multiply(multiply(multiply(X346,X347),X344),inverse(multiply(X346,X344))))),
    inference(resolution,status(thm),[c28,reflexivity]) ).

cnf(c535,plain,
    multiply(multiply(multiply(multiply(multiply(X355,X356),X354),X357),inverse(multiply(X355,X354))),inverse(X356)) = X357,
    inference(resolution,status(thm),[c272,c4]) ).

cnf(c559,plain,
    ( X709 != multiply(multiply(multiply(multiply(multiply(X708,X707),X710),X706),inverse(multiply(X708,X710))),inverse(X707))
    | X709 = X706 ),
    inference(resolution,status(thm),[c535,transitivity]) ).

cnf(c1701,plain,
    multiply(multiply(X721,inverse(multiply(X720,X719))),inverse(X721)) = inverse(multiply(X720,X719)),
    inference(resolution,status(thm),[c559,c53]) ).

cnf(c1758,plain,
    inverse(multiply(X724,X722)) = multiply(multiply(X723,inverse(multiply(X724,X722))),inverse(X723)),
    inference(resolution,status(thm),[c1701,symmetry]) ).

cnf(c1772,plain,
    inverse(multiply(X727,X729)) = multiply(X728,inverse(multiply(multiply(X727,X728),X729))),
    inference(resolution,status(thm),[c1758,c42]) ).

cnf(c1787,plain,
    inverse(multiply(X736,inverse(multiply(X736,X735)))) = X735,
    inference(resolution,status(thm),[c1772,c58]) ).

cnf(c1839,plain,
    ( X741 != inverse(multiply(X742,inverse(multiply(X742,X743))))
    | X741 = X743 ),
    inference(resolution,status(thm),[c1787,transitivity]) ).

cnf(c57,plain,
    inverse(multiply(X99,inverse(multiply(multiply(X98,X99),inverse(multiply(X98,X100)))))) = inverse(X100),
    inference(resolution,status(thm),[c51,c1]) ).

cnf(c89,plain,
    ( X272 != inverse(multiply(X271,inverse(multiply(multiply(X274,X271),inverse(multiply(X274,X273))))))
    | X272 = inverse(X273) ),
    inference(resolution,status(thm),[c57,transitivity]) ).

cnf(c1843,plain,
    ( X907 != X906
    | multiply(X907,inverse(multiply(X908,inverse(multiply(X908,X905))))) = multiply(X906,X905) ),
    inference(resolution,status(thm),[c1787,c0]) ).

cnf(c2721,plain,
    multiply(X910,inverse(multiply(X911,inverse(multiply(X911,X909))))) = multiply(X910,X909),
    inference(resolution,status(thm),[c1843,reflexivity]) ).

cnf(c2809,plain,
    multiply(X913,X912) = multiply(X913,inverse(multiply(X914,inverse(multiply(X914,X912))))),
    inference(resolution,status(thm),[c2721,symmetry]) ).

cnf(c1802,plain,
    multiply(X778,inverse(multiply(multiply(X777,X778),X779))) = inverse(multiply(X777,X779)),
    inference(resolution,status(thm),[c1772,symmetry]) ).

cnf(c2110,plain,
    ( X1016 != multiply(X1017,inverse(multiply(multiply(X1015,X1017),X1018)))
    | X1016 = inverse(multiply(X1015,X1018)) ),
    inference(resolution,status(thm),[c1802,transitivity]) ).

cnf(c3770,plain,
    multiply(X1031,X1032) = inverse(multiply(X1033,inverse(multiply(multiply(X1033,X1031),X1032)))),
    inference(resolution,status(thm),[c2110,c2809]) ).

cnf(c3852,plain,
    multiply(X1035,inverse(multiply(X1035,X1034))) = inverse(X1034),
    inference(resolution,status(thm),[c3770,c89]) ).

cnf(c3891,plain,
    inverse(X1036) = multiply(X1037,inverse(multiply(X1037,X1036))),
    inference(resolution,status(thm),[c3852,symmetry]) ).

cnf(c3911,plain,
    inverse(inverse(X1077)) = inverse(multiply(X1076,inverse(multiply(X1076,X1077)))),
    inference(resolution,status(thm),[c3891,c1]) ).

cnf(c4295,plain,
    inverse(inverse(X1078)) = X1078,
    inference(resolution,status(thm),[c3911,c1839]) ).

cnf(c4338,plain,
    ( X1231 != X1230
    | multiply(X1231,inverse(inverse(X1229))) = multiply(X1230,X1229) ),
    inference(resolution,status(thm),[c4295,c0]) ).

cnf(c5512,plain,
    multiply(X1233,inverse(inverse(X1232))) = multiply(X1233,X1232),
    inference(resolution,status(thm),[c4338,reflexivity]) ).

cnf(c5627,plain,
    ( X1430 != multiply(X1429,inverse(inverse(X1431)))
    | X1430 = multiply(X1429,X1431) ),
    inference(resolution,status(thm),[c5512,transitivity]) ).

cnf(c4333,plain,
    ( X1086 != inverse(inverse(X1087))
    | X1086 = X1087 ),
    inference(resolution,status(thm),[c4295,transitivity]) ).

cnf(c4472,plain,
    multiply(X1143,inverse(multiply(X1143,inverse(X1142)))) = X1142,
    inference(resolution,status(thm),[c4333,c3852]) ).

cnf(c4939,plain,
    ( X1383 != multiply(X1385,inverse(multiply(X1385,inverse(X1384))))
    | X1383 = X1384 ),
    inference(resolution,status(thm),[c4472,transitivity]) ).

cnf(c7329,plain,
    multiply(multiply(multiply(X1613,X1614),X1612),inverse(X1614)) = multiply(X1613,X1612),
    inference(resolution,status(thm),[c4939,c272]) ).

cnf(c9261,plain,
    ( X4207 != multiply(multiply(multiply(X4205,X4206),X4204),inverse(X4206))
    | X4207 = multiply(X4205,X4204) ),
    inference(resolution,status(thm),[c7329,transitivity]) ).

cnf(c9283,plain,
    multiply(X1751,X1753) = multiply(multiply(multiply(X1751,X1752),X1753),inverse(X1752)),
    inference(resolution,status(thm),[c7329,symmetry]) ).

cnf(c10331,plain,
    multiply(X1810,X1809) = multiply(multiply(multiply(X1810,inverse(X1811)),X1809),X1811),
    inference(resolution,status(thm),[c9283,c5627]) ).

cnf(c10557,plain,
    multiply(multiply(X1975,X1977),inverse(multiply(X1975,inverse(X1976)))) = multiply(X1977,X1976),
    inference(resolution,status(thm),[c10331,c42]) ).

cnf(c12438,plain,
    multiply(X2084,X2083) = multiply(multiply(X2082,X2084),inverse(multiply(X2082,inverse(X2083)))),
    inference(resolution,status(thm),[c10557,symmetry]) ).

cnf(c63,plain,
    X77 = multiply(X76,inverse(multiply(multiply(X75,X76),inverse(multiply(X75,X77))))),
    inference(resolution,status(thm),[c51,symmetry]) ).

cnf(c68,plain,
    multiply(X174,X173) = multiply(multiply(X171,inverse(multiply(multiply(X172,X171),inverse(multiply(X172,X174))))),X173),
    inference(resolution,status(thm),[c63,c8]) ).

cnf(c205,plain,
    multiply(X328,inverse(multiply(X331,inverse(multiply(multiply(X330,multiply(X331,X329)),inverse(multiply(X330,X328))))))) = X329,
    inference(resolution,status(thm),[c68,c4]) ).

cnf(c507,plain,
    X392 = multiply(X393,inverse(multiply(X391,inverse(multiply(multiply(X390,multiply(X391,X392)),inverse(multiply(X390,X393))))))),
    inference(resolution,status(thm),[c205,symmetry]) ).

cnf(c7305,plain,
    X1599 = multiply(multiply(X1600,multiply(X1601,X1599)),inverse(multiply(X1600,X1601))),
    inference(resolution,status(thm),[c4939,c507]) ).

cnf(c9195,plain,
    multiply(multiply(X1750,multiply(X1749,X1748)),inverse(multiply(X1750,X1749))) = X1748,
    inference(resolution,status(thm),[c7305,symmetry]) ).

cnf(c10255,plain,
    ( X4698 != multiply(multiply(X4700,multiply(X4697,X4699)),inverse(multiply(X4700,X4697)))
    | X4698 = X4699 ),
    inference(resolution,status(thm),[c9195,transitivity]) ).

cnf(c49476,plain,
    multiply(multiply(inverse(X4707),X4708),X4707) = X4708,
    inference(resolution,status(thm),[c10255,c12438]) ).

cnf(c49613,plain,
    X4711 = multiply(multiply(inverse(X4712),X4711),X4712),
    inference(resolution,status(thm),[c49476,symmetry]) ).

cnf(c49875,plain,
    multiply(X5282,X5281) = multiply(multiply(multiply(inverse(X5280),X5282),X5280),X5281),
    inference(resolution,status(thm),[c49613,c8]) ).

cnf(c59628,plain,
    multiply(X5283,inverse(X5283)) = multiply(inverse(X5284),X5284),
    inference(resolution,status(thm),[c49875,c9261]) ).

cnf(c59722,plain,
    multiply(inverse(X5295),X5295) = multiply(X5294,inverse(X5294)),
    inference(resolution,status(thm),[c59628,symmetry]) ).

cnf(c60191,plain,
    multiply(inverse(X5385),X5385) = multiply(inverse(X5384),X5384),
    inference(resolution,status(thm),[c59722,c5627]) ).

cnf(c62404,plain,
    $false,
    inference(resolution,status(thm),[c60191,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n004.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 : Tue Jun 14 08:02:39 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 34.82/35.02  # Version:  1.3
% 34.82/35.02  # SZS status Unsatisfiable
% 34.82/35.02  # SZS output start CNFRefutation
% See solution above
% 34.82/35.02  
% 34.82/35.02  # Initial clauses    : 7
% 34.82/35.02  # Processed clauses  : 816
% 34.82/35.02  # Factors computed   : 0
% 34.82/35.02  # Resolvents computed: 62403
% 34.82/35.02  # Tautologies deleted: 1
% 34.82/35.02  # Forward subsumed   : 1086
% 34.82/35.02  # Backward subsumed  : 5
% 34.82/35.02  # -------- CPU Time ---------
% 34.82/35.02  # User time          : 34.513 s
% 34.82/35.02  # System time        : 0.153 s
% 34.82/35.02  # Total time         : 34.666 s
%------------------------------------------------------------------------------