%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% 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 11:21:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_times_a_is_c,negated_conjecture,
    ~ product(b,a,c),
    input ).

cnf(square_element,plain,
    product(X4,X4,identity),
    input ).

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

cnf(associativity1,axiom,
    ( ~ product(X6,X7,X9)
    | ~ product(X7,X5,X10)
    | ~ product(X9,X5,X8)
    | product(X6,X10,X8) ),
    input ).

cnf(c2,plain,
    ( ~ product(X38,X39,identity)
    | ~ product(X39,X36,X37)
    | product(X38,X37,X36) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(a_times_b_is_c,plain,
    product(a,b,c),
    input ).

cnf(c21,plain,
    ( ~ product(X57,a,identity)
    | product(X57,c,b) ),
    inference(resolution,status(thm),[c2,a_times_b_is_c]) ).

cnf(c34,plain,
    product(a,c,b),
    inference(resolution,status(thm),[c21,square_element]) ).

cnf(right_identity,axiom,
    product(X3,identity,X3),
    input ).

cnf(associativity2,axiom,
    ( ~ product(X27,X28,X30)
    | ~ product(X28,X26,X31)
    | ~ product(X27,X31,X29)
    | product(X30,X26,X29) ),
    input ).

cnf(c11,plain,
    ( ~ product(X58,X60,X61)
    | ~ product(X60,X59,identity)
    | product(X61,X59,X58) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c41,plain,
    ( ~ product(X62,X63,X64)
    | product(X64,X63,X62) ),
    inference(resolution,status(thm),[c11,square_element]) ).

cnf(c45,plain,
    product(b,c,a),
    inference(resolution,status(thm),[c41,c34]) ).

cnf(c47,plain,
    ( ~ product(X105,b,identity)
    | product(X105,a,c) ),
    inference(resolution,status(thm),[c45,c2]) ).

cnf(c91,plain,
    product(b,a,c),
    inference(resolution,status(thm),[c47,square_element]) ).

cnf(c101,plain,
    $false,
    inference(resolution,status(thm),[c91,prove_b_times_a_is_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n020.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 12:24:05 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  # Version:  1.3
% 0.20/0.57  # SZS status Unsatisfiable
% 0.20/0.57  # SZS output start CNFRefutation
% See solution above
% 0.20/0.57  
% 0.20/0.57  # Initial clauses    : 7
% 0.20/0.57  # Processed clauses  : 37
% 0.20/0.57  # Factors computed   : 0
% 0.20/0.57  # Resolvents computed: 105
% 0.20/0.57  # Tautologies deleted: 5
% 0.20/0.57  # Forward subsumed   : 37
% 0.20/0.57  # Backward subsumed  : 0
% 0.20/0.57  # -------- CPU Time ---------
% 0.20/0.57  # User time          : 0.203 s
% 0.20/0.57  # System time        : 0.015 s
% 0.20/0.57  # Total time         : 0.218 s
%------------------------------------------------------------------------------