TSTP Solution File: GRP522-1 by PyRes---1.3

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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 11:23:25 EDT 2022

% Result   : Unsatisfiable 168.87s 169.11s
% Output   : Refutation 168.87s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    input ).

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

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

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

cnf(inverse,axiom,
    inverse(X6) = divide(divide(X7,X7),X6),
    input ).

cnf(c0,plain,
    ( X39 != X36
    | X38 != X37
    | divide(X39,X38) = divide(X36,X37) ),
    eq_axiom ).

cnf(c32,plain,
    ( X294 != X295
    | divide(X294,inverse(X293)) = divide(X295,divide(divide(X292,X292),X293)) ),
    inference(resolution,status(thm),[c0,inverse]) ).

cnf(c633,plain,
    divide(X322,inverse(X324)) = divide(X322,divide(divide(X323,X323),X324)),
    inference(resolution,status(thm),[c32,reflexivity]) ).

cnf(multiply,axiom,
    multiply(X23,X25) = divide(X23,divide(divide(X24,X24),X25)),
    input ).

cnf(c17,plain,
    divide(X63,divide(divide(X62,X62),X64)) = multiply(X63,X64),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c74,plain,
    ( X410 != divide(X409,divide(divide(X408,X408),X407))
    | X410 = multiply(X409,X407) ),
    inference(resolution,status(thm),[c17,transitivity]) ).

cnf(c1116,plain,
    divide(X417,inverse(X416)) = multiply(X417,X416),
    inference(resolution,status(thm),[c74,c633]) ).

cnf(c1145,plain,
    ( X440 != divide(X438,inverse(X439))
    | X440 = multiply(X438,X439) ),
    inference(resolution,status(thm),[c1116,transitivity]) ).

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

cnf(c13,plain,
    ( X49 != divide(divide(X48,X48),X47)
    | X49 = inverse(X47) ),
    inference(resolution,status(thm),[c4,transitivity]) ).

cnf(c33,plain,
    ( X41 != X42
    | divide(X41,X40) = divide(X42,X40) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c1152,plain,
    multiply(X418,X419) = divide(X418,inverse(X419)),
    inference(resolution,status(thm),[c1116,symmetry]) ).

cnf(c1157,plain,
    divide(multiply(X508,X510),X509) = divide(divide(X508,inverse(X510)),X509),
    inference(resolution,status(thm),[c1152,c33]) ).

cnf(c1594,plain,
    divide(multiply(inverse(X515),X515),X516) = inverse(X516),
    inference(resolution,status(thm),[c1157,c13]) ).

cnf(c1687,plain,
    inverse(X517) = divide(multiply(inverse(X518),X518),X517),
    inference(resolution,status(thm),[c1594,symmetry]) ).

cnf(c1707,plain,
    inverse(inverse(X522)) = multiply(multiply(inverse(X521),X521),X522),
    inference(resolution,status(thm),[c1687,c1145]) ).

cnf(c1733,plain,
    multiply(multiply(inverse(X523),X523),X524) = inverse(inverse(X524)),
    inference(resolution,status(thm),[c1707,symmetry]) ).

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

cnf(c7,plain,
    ( X71 != divide(X69,divide(X70,divide(X68,divide(X69,X70))))
    | X71 = X68 ),
    inference(resolution,status(thm),[single_axiom,transitivity]) ).

cnf(c84,plain,
    multiply(X93,divide(X92,divide(X93,divide(X91,X91)))) = X92,
    inference(resolution,status(thm),[c7,multiply]) ).

cnf(c104,plain,
    ( X728 != multiply(X726,divide(X725,divide(X726,divide(X727,X727))))
    | X728 = X725 ),
    inference(resolution,status(thm),[c84,transitivity]) ).

cnf(c48,plain,
    multiply(divide(X126,X126),X127) = inverse(divide(divide(X125,X125),X127)),
    inference(resolution,status(thm),[c13,multiply]) ).

cnf(c2,plain,
    ( X17 != X16
    | inverse(X17) = inverse(X16) ),
    eq_axiom ).

cnf(c12,plain,
    inverse(divide(divide(X46,X46),X45)) = inverse(inverse(X45)),
    inference(resolution,status(thm),[c4,c2]) ).

cnf(c46,plain,
    ( X244 != inverse(divide(divide(X242,X242),X243))
    | X244 = inverse(inverse(X243)) ),
    inference(resolution,status(thm),[c12,transitivity]) ).

cnf(c422,plain,
    multiply(divide(X252,X252),X251) = inverse(inverse(X251)),
    inference(resolution,status(thm),[c46,c48]) ).

cnf(c466,plain,
    inverse(inverse(X254)) = multiply(divide(X253,X253),X254),
    inference(resolution,status(thm),[c422,symmetry]) ).

cnf(c483,plain,
    ( X300 != inverse(inverse(X298))
    | X300 = multiply(divide(X299,X299),X298) ),
    inference(resolution,status(thm),[c466,transitivity]) ).

cnf(c41,plain,
    divide(divide(divide(X123,X123),X122),X124) = divide(inverse(X122),X124),
    inference(resolution,status(thm),[c33,c4]) ).

cnf(c39,plain,
    divide(inverse(X108),X107) = divide(divide(divide(X106,X106),X108),X107),
    inference(resolution,status(thm),[c33,inverse]) ).

cnf(c131,plain,
    divide(inverse(divide(X109,X109)),X110) = inverse(X110),
    inference(resolution,status(thm),[c39,c13]) ).

cnf(c137,plain,
    ( X151 != divide(inverse(divide(X149,X149)),X150)
    | X151 = inverse(X150) ),
    inference(resolution,status(thm),[c131,transitivity]) ).

cnf(c225,plain,
    divide(divide(divide(X204,X204),divide(X206,X206)),X205) = inverse(X205),
    inference(resolution,status(thm),[c137,c41]) ).

cnf(c334,plain,
    ( X2729 != divide(divide(divide(X2728,X2728),divide(X2726,X2726)),X2727)
    | X2729 = inverse(X2727) ),
    inference(resolution,status(thm),[c225,transitivity]) ).

cnf(c87,plain,
    inverse(divide(X141,divide(X143,divide(divide(X142,X142),X141)))) = X143,
    inference(resolution,status(thm),[c7,inverse]) ).

cnf(c209,plain,
    ( X2416 != inverse(divide(X2414,divide(X2413,divide(divide(X2415,X2415),X2414))))
    | X2416 = X2413 ),
    inference(resolution,status(thm),[c87,transitivity]) ).

cnf(c28,plain,
    ( X233 != X229
    | divide(X233,multiply(X232,X231)) = divide(X229,divide(X232,divide(divide(X230,X230),X231))) ),
    inference(resolution,status(thm),[c0,multiply]) ).

cnf(c375,plain,
    divide(X2963,multiply(X2965,X2966)) = divide(X2963,divide(X2965,divide(divide(X2964,X2964),X2966))),
    inference(resolution,status(thm),[c28,reflexivity]) ).

cnf(c24395,plain,
    divide(X2969,multiply(X2967,divide(X2969,X2967))) = divide(X2968,X2968),
    inference(resolution,status(thm),[c375,c7]) ).

cnf(c24420,plain,
    divide(X2971,X2971) = divide(X2970,multiply(X2972,divide(X2970,X2972))),
    inference(resolution,status(thm),[c24395,symmetry]) ).

cnf(c24436,plain,
    ( X3021 != divide(X3018,multiply(X3020,divide(X3018,X3020)))
    | X3021 = divide(X3019,X3019) ),
    inference(resolution,status(thm),[c24395,transitivity]) ).

cnf(c25146,plain,
    divide(X3022,X3022) = divide(X3023,X3023),
    inference(resolution,status(thm),[c24436,c24420]) ).

cnf(c25182,plain,
    ( X5470 != X5471
    | divide(X5470,divide(X5469,X5469)) = divide(X5471,divide(X5468,X5468)) ),
    inference(resolution,status(thm),[c25146,c0]) ).

cnf(c52129,plain,
    divide(X5478,divide(X5479,X5479)) = divide(X5478,divide(X5480,X5480)),
    inference(resolution,status(thm),[c25182,reflexivity]) ).

cnf(c52363,plain,
    inverse(divide(X9324,divide(X9325,X9325))) = inverse(divide(X9324,divide(X9326,X9326))),
    inference(resolution,status(thm),[c52129,c2]) ).

cnf(c99239,plain,
    inverse(divide(X9328,divide(X9327,X9327))) = divide(divide(X9329,X9329),X9328),
    inference(resolution,status(thm),[c52363,c209]) ).

cnf(c99395,plain,
    inverse(divide(X9330,divide(X9331,X9331))) = inverse(X9330),
    inference(resolution,status(thm),[c99239,c334]) ).

cnf(c99482,plain,
    inverse(X9335) = inverse(divide(X9335,divide(X9334,X9334))),
    inference(resolution,status(thm),[c99395,symmetry]) ).

cnf(c99629,plain,
    inverse(inverse(X9503)) = inverse(inverse(divide(X9503,divide(X9502,X9502)))),
    inference(resolution,status(thm),[c99482,c2]) ).

cnf(c103362,plain,
    inverse(inverse(X13318)) = multiply(divide(X13319,X13319),divide(X13318,divide(X13320,X13320))),
    inference(resolution,status(thm),[c99629,c483]) ).

cnf(c162144,plain,
    inverse(inverse(X13321)) = X13321,
    inference(resolution,status(thm),[c103362,c104]) ).

cnf(c162239,plain,
    ( X13349 != inverse(inverse(X13348))
    | X13349 = X13348 ),
    inference(resolution,status(thm),[c162144,transitivity]) ).

cnf(c164335,plain,
    multiply(multiply(inverse(X13451),X13451),X13450) = X13450,
    inference(resolution,status(thm),[c162239,c1733]) ).

cnf(c168966,plain,
    $false,
    inference(resolution,status(thm),[c164335,prove_these_axioms_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 08:15:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 168.87/169.11  # Version:  1.3
% 168.87/169.11  # SZS status Unsatisfiable
% 168.87/169.11  # SZS output start CNFRefutation
% See solution above
% 168.87/169.11  
% 168.87/169.11  # Initial clauses    : 10
% 168.87/169.11  # Processed clauses  : 1433
% 168.87/169.11  # Factors computed   : 0
% 168.87/169.11  # Resolvents computed: 169168
% 168.87/169.11  # Tautologies deleted: 1
% 168.87/169.11  # Forward subsumed   : 3118
% 168.87/169.11  # Backward subsumed  : 0
% 168.87/169.11  # -------- CPU Time ---------
% 168.87/169.11  # User time          : 168.344 s
% 168.87/169.11  # System time        : 0.413 s
% 168.87/169.11  # Total time         : 168.757 s
%------------------------------------------------------------------------------