%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 11:23:20 EDT 2022

% Result   : Unsatisfiable 0.76s 0.96s
% Output   : Refutation 0.76s
% 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) != identity,
    input ).

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

cnf(transitivity,axiom,
    ( X17 != X18
    | X18 != X19
    | X17 = X19 ),
    eq_axiom ).

cnf(identity,axiom,
    identity = double_divide(X7,inverse(X7)),
    input ).

cnf(c2,plain,
    ( X23 != X22
    | inverse(X23) = inverse(X22) ),
    eq_axiom ).

cnf(c20,plain,
    inverse(identity) = inverse(double_divide(X64,inverse(X64))),
    inference(resolution,status(thm),[c2,identity]) ).

cnf(multiply,axiom,
    multiply(X15,X16) = double_divide(double_divide(X16,X15),identity),
    input ).

cnf(inverse,axiom,
    inverse(X6) = double_divide(X6,identity),
    input ).

cnf(c4,plain,
    double_divide(X11,identity) = inverse(X11),
    inference(resolution,status(thm),[inverse,symmetry]) ).

cnf(c11,plain,
    ( X32 != double_divide(X31,identity)
    | X32 = inverse(X31) ),
    inference(resolution,status(thm),[transitivity,c4]) ).

cnf(c37,plain,
    multiply(X35,X36) = inverse(double_divide(X36,X35)),
    inference(resolution,status(thm),[c11,multiply]) ).

cnf(c40,plain,
    inverse(double_divide(X38,X37)) = multiply(X37,X38),
    inference(resolution,status(thm),[c37,symmetry]) ).

cnf(c43,plain,
    ( X120 != inverse(double_divide(X121,X122))
    | X120 = multiply(X122,X121) ),
    inference(resolution,status(thm),[c40,transitivity]) ).

cnf(c185,plain,
    inverse(identity) = multiply(inverse(X127),X127),
    inference(resolution,status(thm),[c43,c20]) ).

cnf(c189,plain,
    ( X216 != inverse(identity)
    | X216 = multiply(inverse(X215),X215) ),
    inference(resolution,status(thm),[c185,transitivity]) ).

cnf(single_axiom,axiom,
    double_divide(double_divide(identity,double_divide(X8,double_divide(X10,identity))),double_divide(double_divide(X10,double_divide(X9,X8)),identity)) = X9,
    input ).

cnf(c10,plain,
    ( X61 != double_divide(double_divide(identity,double_divide(X59,double_divide(X60,identity))),double_divide(double_divide(X60,double_divide(X62,X59)),identity))
    | X61 = X62 ),
    inference(resolution,status(thm),[transitivity,single_axiom]) ).

cnf(c5,plain,
    double_divide(X12,inverse(X12)) = identity,
    inference(resolution,status(thm),[identity,symmetry]) ).

cnf(c14,plain,
    ( X49 != double_divide(X48,inverse(X48))
    | X49 = identity ),
    inference(resolution,status(thm),[transitivity,c5]) ).

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

cnf(c0,plain,
    ( X28 != X27
    | X29 != X30
    | double_divide(X28,X29) = double_divide(X27,X30) ),
    eq_axiom ).

cnf(c28,plain,
    ( X141 != X142
    | double_divide(X141,double_divide(X140,identity)) = double_divide(X142,inverse(X140)) ),
    inference(resolution,status(thm),[c0,c4]) ).

cnf(c250,plain,
    double_divide(X271,double_divide(X272,identity)) = double_divide(X271,inverse(X272)),
    inference(resolution,status(thm),[c28,reflexivity]) ).

cnf(c1184,plain,
    double_divide(X273,double_divide(X273,identity)) = identity,
    inference(resolution,status(thm),[c250,c14]) ).

cnf(c1220,plain,
    identity = double_divide(X274,double_divide(X274,identity)),
    inference(resolution,status(thm),[c1184,symmetry]) ).

cnf(c1229,plain,
    identity = double_divide(identity,identity),
    inference(resolution,status(thm),[c1220,c10]) ).

cnf(c1252,plain,
    identity = inverse(identity),
    inference(resolution,status(thm),[c1229,c11]) ).

cnf(c1279,plain,
    identity = multiply(inverse(X279),X279),
    inference(resolution,status(thm),[c1252,c189]) ).

cnf(c1412,plain,
    multiply(inverse(X284),X284) = identity,
    inference(resolution,status(thm),[c1279,symmetry]) ).

cnf(c1487,plain,
    $false,
    inference(resolution,status(thm),[c1412,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jun 13 21:49:20 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.76/0.96  # Version:  1.3
% 0.76/0.96  # SZS status Unsatisfiable
% 0.76/0.96  # SZS output start CNFRefutation
% See solution above
% 0.76/0.96  
% 0.76/0.96  # Initial clauses    : 11
% 0.76/0.96  # Processed clauses  : 96
% 0.76/0.96  # Factors computed   : 0
% 0.76/0.96  # Resolvents computed: 1500
% 0.76/0.96  # Tautologies deleted: 1
% 0.76/0.96  # Forward subsumed   : 74
% 0.76/0.96  # Backward subsumed  : 0
% 0.76/0.96  # -------- CPU Time ---------
% 0.76/0.96  # User time          : 0.613 s
% 0.76/0.96  # System time        : 0.022 s
% 0.76/0.96  # Total time         : 0.635 s
%------------------------------------------------------------------------------