%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 02:24:51 EDT 2022

% Result   : Unsatisfiable 47.26s 47.48s
% Output   : Refutation 47.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_product_4,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    input ).

cnf(commutativity_multiplication,axiom,
    ( product(X29,X27,X28)
    | ~ product(X27,X29,X28) ),
    input ).

cnf(not_sum_3,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    input ).

cnf(a_is_defined,plain,
    defined(a),
    input ).

cnf(existence_of_inverse_multiplication,axiom,
    ( product(multiplicative_inverse(X36),X36,multiplicative_identity)
    | sum(additive_identity,X36,additive_identity)
    | ~ defined(X36) ),
    input ).

cnf(c75,plain,
    ( product(multiplicative_inverse(a),a,multiplicative_identity)
    | sum(additive_identity,a,additive_identity) ),
    inference(resolution,status(thm),[existence_of_inverse_multiplication,a_is_defined]) ).

cnf(c5998,plain,
    product(multiplicative_inverse(a),a,multiplicative_identity),
    inference(resolution,status(thm),[c75,not_sum_3]) ).

cnf(product_2,negated_conjecture,
    product(multiplicative_identity,a,multiplicative_identity),
    input ).

cnf(c58,plain,
    product(a,multiplicative_identity,multiplicative_identity),
    inference(resolution,status(thm),[commutativity_multiplication,product_2]) ).

cnf(well_definedness_of_multiplicative_identity,axiom,
    defined(multiplicative_identity),
    input ).

cnf(existence_of_identity_multiplication,axiom,
    ( product(multiplicative_identity,X17,X17)
    | ~ defined(X17) ),
    input ).

cnf(c35,plain,
    product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
    inference(resolution,status(thm),[existence_of_identity_multiplication,well_definedness_of_multiplicative_identity]) ).

cnf(associativity_multiplication_1,axiom,
    ( product(X25,X26,X24)
    | ~ product(X25,X23,X21)
    | ~ product(X23,X22,X26)
    | ~ product(X21,X22,X24) ),
    input ).

cnf(c53,plain,
    ( product(X123,X124,multiplicative_identity)
    | ~ product(X123,X125,multiplicative_identity)
    | ~ product(X125,multiplicative_identity,X124) ),
    inference(resolution,status(thm),[associativity_multiplication_1,c35]) ).

cnf(c4223,plain,
    ( product(X409,multiplicative_identity,multiplicative_identity)
    | ~ product(X409,a,multiplicative_identity) ),
    inference(resolution,status(thm),[c53,c58]) ).

cnf(c146758,plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
    inference(resolution,status(thm),[c4223,c5998]) ).

cnf(c146769,plain,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    inference(resolution,status(thm),[c146758,commutativity_multiplication]) ).

cnf(c146822,plain,
    $false,
    inference(resolution,status(thm),[c146769,not_product_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.08  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Mon Jun  6 12:02:04 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 47.26/47.48  # Version:  1.3
% 47.26/47.48  # SZS status Unsatisfiable
% 47.26/47.48  # SZS output start CNFRefutation
% See solution above
% 47.26/47.48  
% 47.26/47.48  # Initial clauses    : 30
% 47.26/47.48  # Processed clauses  : 1460
% 47.26/47.48  # Factors computed   : 6
% 47.26/47.48  # Resolvents computed: 146819
% 47.26/47.48  # Tautologies deleted: 16
% 47.26/47.48  # Forward subsumed   : 75
% 47.26/47.48  # Backward subsumed  : 4
% 47.26/47.48  # -------- CPU Time ---------
% 47.26/47.48  # User time          : 47.001 s
% 47.26/47.48  # System time        : 0.196 s
% 47.26/47.48  # Total time         : 47.197 s
%------------------------------------------------------------------------------