%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP041-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 11:21:29 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_reflexivity,negated_conjecture,
    ~ equalish(a,a),
    input ).

cnf(left_identity,axiom,
    product(identity,X2,X2),
    input ).

cnf(total_function2,axiom,
    ( ~ product(X7,X9,X8)
    | ~ product(X7,X9,X6)
    | equalish(X8,X6) ),
    input ).

cnf(c0,plain,
    ( ~ product(identity,X16,X17)
    | equalish(X17,X16) ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

cnf(c6,plain,
    equalish(X18,X18),
    inference(resolution,status(thm),[c0,left_identity]) ).

cnf(c8,plain,
    $false,
    inference(resolution,status(thm),[c6,prove_reflexivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP041-2 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 12:23:10 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.55  # Version:  1.3
% 0.21/0.55  # SZS status Unsatisfiable
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  
% 0.21/0.55  # Initial clauses    : 8
% 0.21/0.55  # Processed clauses  : 8
% 0.21/0.55  # Factors computed   : 0
% 0.21/0.55  # Resolvents computed: 9
% 0.21/0.55  # Tautologies deleted: 0
% 0.21/0.55  # Forward subsumed   : 0
% 0.21/0.55  # Backward subsumed  : 0
% 0.21/0.55  # -------- CPU Time ---------
% 0.21/0.55  # User time          : 0.185 s
% 0.21/0.55  # System time        : 0.019 s
% 0.21/0.55  # Total time         : 0.204 s
%------------------------------------------------------------------------------