%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP043-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 0.41s 0.59s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

cnf(c0,plain,
    ( ~ product(identity,X11,X10)
    | equalish(X10,X11) ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

cnf(product_substitution3,axiom,
    ( ~ equalish(X36,X39)
    | ~ product(X38,X37,X36)
    | product(X38,X37,X39) ),
    input ).

cnf(c16,plain,
    ( ~ equalish(X41,X40)
    | product(identity,X41,X40) ),
    inference(resolution,status(thm),[product_substitution3,left_identity]) ).

cnf(b_equals_c,plain,
    equalish(b,c),
    input ).

cnf(a_equals_b,plain,
    equalish(a,b),
    input ).

cnf(c21,plain,
    product(identity,a,b),
    inference(resolution,status(thm),[c16,a_equals_b]) ).

cnf(c30,plain,
    ( ~ equalish(b,X87)
    | product(identity,a,X87) ),
    inference(resolution,status(thm),[c21,product_substitution3]) ).

cnf(c135,plain,
    product(identity,a,c),
    inference(resolution,status(thm),[c30,b_equals_c]) ).

cnf(c143,plain,
    equalish(c,a),
    inference(resolution,status(thm),[c135,c0]) ).

cnf(c154,plain,
    product(identity,c,a),
    inference(resolution,status(thm),[c143,c16]) ).

cnf(c159,plain,
    equalish(a,c),
    inference(resolution,status(thm),[c154,c0]) ).

cnf(c170,plain,
    $false,
    inference(resolution,status(thm),[c159,prove_transitivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 17:18:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.41/0.59  # Version:  1.3
% 0.41/0.59  # SZS status Unsatisfiable
% 0.41/0.59  # SZS output start CNFRefutation
% See solution above
% 0.41/0.59  
% 0.41/0.59  # Initial clauses    : 10
% 0.41/0.59  # Processed clauses  : 49
% 0.41/0.59  # Factors computed   : 2
% 0.41/0.59  # Resolvents computed: 169
% 0.41/0.59  # Tautologies deleted: 0
% 0.41/0.59  # Forward subsumed   : 19
% 0.41/0.59  # Backward subsumed  : 0
% 0.41/0.59  # -------- CPU Time ---------
% 0.41/0.59  # User time          : 0.232 s
% 0.41/0.59  # System time        : 0.015 s
% 0.41/0.59  # Total time         : 0.248 s
%------------------------------------------------------------------------------