%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 15.81s 16.08s
% Output   : Refutation 15.81s
% 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,
    ( X8 != X9
    | X9 != X10
    | X8 = X10 ),
    eq_axiom ).

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

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

cnf(c17,plain,
    divide(X44,divide(divide(X46,X46),X45)) = multiply(X44,X45),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c39,plain,
    ( X275 != divide(X273,divide(divide(X272,X272),X274))
    | X275 = multiply(X273,X274) ),
    inference(resolution,status(thm),[c17,transitivity]) ).

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

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

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

cnf(c0,plain,
    ( X52 != X53
    | X50 != X51
    | divide(X52,X50) = divide(X53,X51) ),
    eq_axiom ).

cnf(c45,plain,
    ( X337 != X334
    | divide(X337,divide(divide(X335,X335),X336)) = divide(X334,inverse(X336)) ),
    inference(resolution,status(thm),[c0,c4]) ).

cnf(c640,plain,
    divide(X382,divide(divide(X384,X384),X383)) = divide(X382,inverse(X383)),
    inference(resolution,status(thm),[c45,reflexivity]) ).

cnf(c791,plain,
    divide(X396,inverse(X398)) = divide(X396,divide(divide(X397,X397),X398)),
    inference(resolution,status(thm),[c640,symmetry]) ).

cnf(c880,plain,
    divide(X400,inverse(X399)) = multiply(X400,X399),
    inference(resolution,status(thm),[c791,c39]) ).

cnf(c891,plain,
    ( X418 != divide(X416,inverse(X417))
    | X418 = multiply(X416,X417) ),
    inference(resolution,status(thm),[c880,transitivity]) ).

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

cnf(c7,plain,
    ( X86 != divide(X84,divide(X85,divide(X83,divide(X84,X85))))
    | X86 = X83 ),
    inference(resolution,status(thm),[single_axiom,transitivity]) ).

cnf(c49,plain,
    ( X392 != X390
    | divide(X392,multiply(X391,X388)) = divide(X390,divide(X391,divide(divide(X389,X389),X388))) ),
    inference(resolution,status(thm),[c0,multiply]) ).

cnf(c825,plain,
    divide(X3477,multiply(X3479,X3480)) = divide(X3477,divide(X3479,divide(divide(X3478,X3478),X3480))),
    inference(resolution,status(thm),[c49,reflexivity]) ).

cnf(c28093,plain,
    divide(X3482,multiply(X3483,divide(X3482,X3483))) = divide(X3481,X3481),
    inference(resolution,status(thm),[c825,c7]) ).

cnf(c28203,plain,
    divide(X3499,multiply(X3498,divide(X3499,X3498))) = multiply(inverse(X3497),X3497),
    inference(resolution,status(thm),[c28093,c891]) ).

cnf(c28497,plain,
    multiply(inverse(X3508),X3508) = divide(X3506,multiply(X3507,divide(X3506,X3507))),
    inference(resolution,status(thm),[c28203,symmetry]) ).

cnf(c28236,plain,
    ( X3536 != divide(X3535,multiply(X3534,divide(X3535,X3534)))
    | X3536 = divide(X3533,X3533) ),
    inference(resolution,status(thm),[c28093,transitivity]) ).

cnf(c29110,plain,
    multiply(inverse(X3542),X3542) = divide(X3541,X3541),
    inference(resolution,status(thm),[c28236,c28497]) ).

cnf(c29255,plain,
    multiply(inverse(X3598),X3598) = multiply(inverse(X3597),X3597),
    inference(resolution,status(thm),[c29110,c891]) ).

cnf(c30234,plain,
    $false,
    inference(resolution,status(thm),[c29255,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.31  % Computer : n021.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Mon Jun 13 08:38:56 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 15.81/16.08  # Version:  1.3
% 15.81/16.08  # SZS status Unsatisfiable
% 15.81/16.08  # SZS output start CNFRefutation
% See solution above
% 15.81/16.08  
% 15.81/16.08  # Initial clauses    : 10
% 15.81/16.08  # Processed clauses  : 514
% 15.81/16.08  # Factors computed   : 0
% 15.81/16.08  # Resolvents computed: 30367
% 15.81/16.08  # Tautologies deleted: 1
% 15.81/16.08  # Forward subsumed   : 721
% 15.81/16.08  # Backward subsumed  : 0
% 15.81/16.08  # -------- CPU Time ---------
% 15.81/16.08  # User time          : 15.643 s
% 15.81/16.08  # System time        : 0.084 s
% 15.81/16.08  # Total time         : 15.727 s
%------------------------------------------------------------------------------