%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 02:24:45 EDT 2022

% Result   : Unsatisfiable 1.49s 1.73s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_product_2,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    input ).

cnf(commutativity_multiplication,axiom,
    ( product(X21,X23,X22)
    | ~ product(X23,X21,X22) ),
    input ).

cnf(not_sum_1,negated_conjecture,
    ~ sum(additive_identity,multiplicative_identity,additive_identity),
    input ).

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

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

cnf(c64,plain,
    ( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(resolution,status(thm),[existence_of_inverse_multiplication,well_definedness_of_multiplicative_identity]) ).

cnf(c7053,plain,
    product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
    inference(resolution,status(thm),[c64,not_sum_1]) ).

cnf(c7064,plain,
    product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    inference(resolution,status(thm),[c7053,commutativity_multiplication]) ).

cnf(c7067,plain,
    $false,
    inference(resolution,status(thm),[c7064,not_product_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n026.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  7 02:05:46 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.49/1.73  # Version:  1.3
% 1.49/1.73  # SZS status Unsatisfiable
% 1.49/1.73  # SZS output start CNFRefutation
% See solution above
% 1.49/1.73  
% 1.49/1.73  # Initial clauses    : 28
% 1.49/1.73  # Processed clauses  : 297
% 1.49/1.73  # Factors computed   : 4
% 1.49/1.73  # Resolvents computed: 7070
% 1.49/1.73  # Tautologies deleted: 3
% 1.49/1.73  # Forward subsumed   : 20
% 1.49/1.73  # Backward subsumed  : 1
% 1.49/1.73  # -------- CPU Time ---------
% 1.49/1.73  # User time          : 1.337 s
% 1.49/1.73  # System time        : 0.027 s
% 1.49/1.73  # Total time         : 1.364 s
%------------------------------------------------------------------------------