%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 11:21:30 EDT 2022

% Result   : Unsatisfiable 1.52s 1.69s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_multiply_substitution2,negated_conjecture,
    ~ equalish(multiply(c,a),multiply(c,b)),
    input ).

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

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

cnf(c2,plain,
    ( ~ product(X31,X29,X30)
    | equalish(X30,multiply(X31,X29)) ),
    inference(resolution,status(thm),[total_function2,total_function1]) ).

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

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

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

cnf(c4,plain,
    ( ~ product(X58,X57,identity)
    | ~ product(X57,X60,X59)
    | product(X58,X59,X60) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c57,plain,
    ( ~ product(X159,inverse(X160),identity)
    | product(X159,identity,X160) ),
    inference(resolution,status(thm),[c4,left_inverse]) ).

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

cnf(c18,plain,
    ( ~ equalish(multiply(X55,X54),X53)
    | product(X55,X54,X53) ),
    inference(resolution,status(thm),[product_substitution3,total_function1]) ).

cnf(c1,plain,
    ( ~ product(identity,X17,X16)
    | equalish(X16,X17) ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

cnf(c17,plain,
    ( ~ equalish(X41,X40)
    | product(identity,X41,X40) ),
    inference(resolution,status(thm),[product_substitution3,left_identity]) ).

cnf(associativity2,axiom,
    ( ~ product(X26,X24,X25)
    | ~ product(X24,X27,X23)
    | ~ product(X26,X23,X22)
    | product(X25,X27,X22) ),
    input ).

cnf(c10,plain,
    ( ~ product(inverse(X77),X75,X74)
    | ~ product(X75,X76,X77)
    | product(X74,X76,identity) ),
    inference(resolution,status(thm),[associativity2,left_inverse]) ).

cnf(c91,plain,
    ( ~ product(X116,X115,X116)
    | product(identity,X115,identity) ),
    inference(resolution,status(thm),[c10,left_inverse]) ).

cnf(c56,plain,
    ( ~ product(X154,X155,identity)
    | product(X154,multiply(X155,X153),X153) ),
    inference(resolution,status(thm),[c4,total_function1]) ).

cnf(c403,plain,
    product(inverse(X163),multiply(X163,X162),X162),
    inference(resolution,status(thm),[c56,left_inverse]) ).

cnf(c410,plain,
    product(identity,multiply(X213,inverse(X213)),identity),
    inference(resolution,status(thm),[c403,c91]) ).

cnf(c648,plain,
    equalish(identity,multiply(X218,inverse(X218))),
    inference(resolution,status(thm),[c410,c1]) ).

cnf(c673,plain,
    product(identity,identity,multiply(X253,inverse(X253))),
    inference(resolution,status(thm),[c648,c17]) ).

cnf(c940,plain,
    equalish(multiply(X259,inverse(X259)),identity),
    inference(resolution,status(thm),[c673,c1]) ).

cnf(c999,plain,
    product(X260,inverse(X260),identity),
    inference(resolution,status(thm),[c940,c18]) ).

cnf(c1002,plain,
    product(X261,identity,X261),
    inference(resolution,status(thm),[c999,c57]) ).

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

cnf(c22,plain,
    product(identity,a,b),
    inference(resolution,status(thm),[c17,a_equals_b]) ).

cnf(c5,plain,
    ( ~ product(X68,X70,X67)
    | ~ product(X70,X69,X71)
    | product(X68,X71,multiply(X67,X69)) ),
    inference(resolution,status(thm),[associativity1,total_function1]) ).

cnf(c79,plain,
    ( ~ product(X262,identity,X263)
    | product(X262,b,multiply(X263,a)) ),
    inference(resolution,status(thm),[c5,c22]) ).

cnf(c1062,plain,
    product(X308,b,multiply(X308,a)),
    inference(resolution,status(thm),[c79,c1002]) ).

cnf(c1397,plain,
    equalish(multiply(X553,a),multiply(X553,b)),
    inference(resolution,status(thm),[c1062,c2]) ).

cnf(c3969,plain,
    $false,
    inference(resolution,status(thm),[c1397,prove_multiply_substitution2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 12:03:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.52/1.69  # Version:  1.3
% 1.52/1.69  # SZS status Unsatisfiable
% 1.52/1.69  # SZS output start CNFRefutation
% See solution above
% 1.52/1.69  
% 1.52/1.69  # Initial clauses    : 9
% 1.52/1.69  # Processed clauses  : 258
% 1.52/1.69  # Factors computed   : 4
% 1.52/1.69  # Resolvents computed: 3971
% 1.52/1.69  # Tautologies deleted: 3
% 1.52/1.69  # Forward subsumed   : 346
% 1.52/1.69  # Backward subsumed  : 11
% 1.52/1.69  # -------- CPU Time ---------
% 1.52/1.69  # User time          : 1.321 s
% 1.52/1.69  # System time        : 0.025 s
% 1.52/1.69  # Total time         : 1.346 s
%------------------------------------------------------------------------------