%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 0.87s 1.05s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_product_with_b,negated_conjecture,
    ~ product(b,c,result),
    input ).

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

cnf(product_with_a,plain,
    product(a,c,result),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X15,X20,X19)
    | ~ product(X20,X17,X16)
    | ~ product(X19,X17,X18)
    | product(X15,X16,X18) ),
    input ).

cnf(c8,plain,
    ( ~ product(X46,X44,a)
    | ~ product(X44,c,X45)
    | product(X46,X45,result) ),
    inference(resolution,status(thm),[associativity1,product_with_a]) ).

cnf(c47,plain,
    ( ~ product(X123,identity,a)
    | product(X123,c,result) ),
    inference(resolution,status(thm),[c8,left_identity]) ).

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

cnf(c1,plain,
    ( ~ product(identity,X10,X11)
    | equalish(X11,X10) ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

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

cnf(product_substitution3,axiom,
    ( ~ equalish(X37,X38)
    | ~ product(X40,X39,X37)
    | product(X40,X39,X38) ),
    input ).

cnf(c23,plain,
    ( ~ equalish(X42,X41)
    | product(identity,X42,X41) ),
    inference(resolution,status(thm),[product_substitution3,left_identity]) ).

cnf(c28,plain,
    product(identity,a,b),
    inference(resolution,status(thm),[c23,a_equals_b]) ).

cnf(c35,plain,
    equalish(b,a),
    inference(resolution,status(thm),[c28,c1]) ).

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

cnf(c9,plain,
    ( ~ product(X53,X50,identity)
    | ~ product(X50,X51,X52)
    | product(X53,X52,X51) ),
    inference(resolution,status(thm),[associativity1,left_identity]) ).

cnf(c60,plain,
    ( ~ product(X165,inverse(X166),identity)
    | product(X165,identity,X166) ),
    inference(resolution,status(thm),[c9,left_inverse]) ).

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

cnf(c24,plain,
    ( ~ equalish(multiply(X55,X56),X57)
    | product(X55,X56,X57) ),
    inference(resolution,status(thm),[product_substitution3,total_function1]) ).

cnf(c3,plain,
    ( ~ product(inverse(X34),X34,X35)
    | equalish(X35,identity) ),
    inference(resolution,status(thm),[total_function2,left_inverse]) ).

cnf(c515,plain,
    product(inverse(inverse(X171)),identity,X171),
    inference(resolution,status(thm),[c60,left_inverse]) ).

cnf(c10,plain,
    ( ~ product(X59,X62,X60)
    | ~ product(X62,X61,X63)
    | product(X59,X63,multiply(X60,X61)) ),
    inference(resolution,status(thm),[associativity1,total_function1]) ).

cnf(c74,plain,
    ( ~ product(X193,identity,X192)
    | product(X193,X194,multiply(X192,X194)) ),
    inference(resolution,status(thm),[c10,left_identity]) ).

cnf(c672,plain,
    product(inverse(inverse(X261)),X262,multiply(X261,X262)),
    inference(resolution,status(thm),[c74,c515]) ).

cnf(c1154,plain,
    equalish(multiply(X263,inverse(X263)),identity),
    inference(resolution,status(thm),[c672,c3]) ).

cnf(c1160,plain,
    product(X264,inverse(X264),identity),
    inference(resolution,status(thm),[c1154,c24]) ).

cnf(c1174,plain,
    product(X265,identity,X265),
    inference(resolution,status(thm),[c1160,c60]) ).

cnf(c1191,plain,
    ( ~ equalish(X285,X284)
    | product(X285,identity,X284) ),
    inference(resolution,status(thm),[c1174,product_substitution3]) ).

cnf(c1321,plain,
    product(b,identity,a),
    inference(resolution,status(thm),[c1191,c35]) ).

cnf(c1374,plain,
    product(b,c,result),
    inference(resolution,status(thm),[c1321,c47]) ).

cnf(c1406,plain,
    $false,
    inference(resolution,status(thm),[c1374,prove_product_with_b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 02:29:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.87/1.05  # Version:  1.3
% 0.87/1.05  # SZS status Unsatisfiable
% 0.87/1.05  # SZS output start CNFRefutation
% See solution above
% 0.87/1.05  
% 0.87/1.05  # Initial clauses    : 10
% 0.87/1.05  # Processed clauses  : 160
% 0.87/1.05  # Factors computed   : 2
% 0.87/1.05  # Resolvents computed: 1414
% 0.87/1.05  # Tautologies deleted: 1
% 0.87/1.05  # Forward subsumed   : 140
% 0.87/1.05  # Backward subsumed  : 5
% 0.87/1.05  # -------- CPU Time ---------
% 0.87/1.05  # User time          : 0.669 s
% 0.87/1.05  # System time        : 0.023 s
% 0.87/1.05  # Total time         : 0.692 s
%------------------------------------------------------------------------------