%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 11:21:15 EDT 2022

% Result   : Unsatisfiable 0.52s 0.72s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_right_inverse,negated_conjecture,
    ~ product(a,inverse(a),identity),
    input ).

cnf(total_function1,axiom,
    product(X5,X4,multiply(X5,X4)),
    input ).

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

cnf(c17,plain,
    ( ~ equalish(multiply(X51,X50),X52)
    | product(X51,X50,X52) ),
    inference(resolution,status(thm),[product_substitution3,total_function1]) ).

cnf(left_inverse,axiom,
    product(inverse(X3),X3,identity),
    input ).

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

cnf(c2,plain,
    ( ~ product(inverse(X33),X33,X34)
    | equalish(X34,identity) ),
    inference(resolution,status(thm),[total_function2,left_inverse]) ).

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

cnf(associativity1,axiom,
    ( ~ product(X11,X10,X14)
    | ~ product(X10,X12,X15)
    | ~ product(X14,X12,X13)
    | product(X11,X15,X13) ),
    input ).

cnf(c3,plain,
    ( ~ product(X48,X46,identity)
    | ~ product(X46,X49,X47)
    | product(X48,X47,X49) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c32,plain,
    ( ~ product(X146,inverse(X145),identity)
    | product(X146,identity,X145) ),
    inference(resolution,status(thm),[c3,left_inverse]) ).

cnf(c283,plain,
    product(inverse(inverse(X153)),identity,X153),
    inference(resolution,status(thm),[c32,left_inverse]) ).

cnf(c4,plain,
    ( ~ product(X60,X62,X63)
    | ~ product(X62,X61,X59)
    | product(X60,X59,multiply(X63,X61)) ),
    inference(resolution,status(thm),[associativity1,total_function1]) ).

cnf(c41,plain,
    ( ~ product(X158,identity,X156)
    | product(X158,X157,multiply(X156,X157)) ),
    inference(resolution,status(thm),[c4,left_identity]) ).

cnf(c341,plain,
    product(inverse(inverse(X214)),X215,multiply(X214,X215)),
    inference(resolution,status(thm),[c41,c283]) ).

cnf(c596,plain,
    equalish(multiply(X218,inverse(X218)),identity),
    inference(resolution,status(thm),[c341,c2]) ).

cnf(c623,plain,
    product(X219,inverse(X219),identity),
    inference(resolution,status(thm),[c596,c17]) ).

cnf(c633,plain,
    $false,
    inference(resolution,status(thm),[c623,prove_right_inverse]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 13 06:45:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.52/0.72  # Version:  1.3
% 0.52/0.72  # SZS status Unsatisfiable
% 0.52/0.72  # SZS output start CNFRefutation
% See solution above
% 0.52/0.72  
% 0.52/0.72  # Initial clauses    : 8
% 0.52/0.72  # Processed clauses  : 88
% 0.52/0.72  # Factors computed   : 2
% 0.52/0.72  # Resolvents computed: 642
% 0.52/0.72  # Tautologies deleted: 1
% 0.52/0.72  # Forward subsumed   : 69
% 0.52/0.72  # Backward subsumed  : 3
% 0.52/0.72  # -------- CPU Time ---------
% 0.52/0.72  # User time          : 0.346 s
% 0.52/0.72  # System time        : 0.012 s
% 0.52/0.72  # Total time         : 0.358 s
%------------------------------------------------------------------------------