TSTP Solution File: FLD034-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 02:24:52 EDT 2022

% Result   : Unsatisfiable 277.46s 277.89s
% Output   : Refutation 277.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

cnf(product_3,negated_conjecture,
    product(multiplicative_identity,m,multiplicative_identity),
    input ).

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

cnf(c74,plain,
    product(m,multiplicative_identity,multiplicative_identity),
    inference(resolution,status(thm),[commutativity_multiplication,product_3]) ).

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

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

cnf(c45,plain,
    product(multiplicative_identity,a,a),
    inference(resolution,status(thm),[existence_of_identity_multiplication,a_is_defined]) ).

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

cnf(c71,plain,
    ( product(X139,X141,a)
    | ~ product(X139,X140,multiplicative_identity)
    | ~ product(X140,a,X141) ),
    inference(resolution,status(thm),[associativity_multiplication_1,c45]) ).

cnf(c6368,plain,
    ( product(X634,a,a)
    | ~ product(X634,multiplicative_identity,multiplicative_identity) ),
    inference(resolution,status(thm),[c71,c45]) ).

cnf(c540224,plain,
    product(m,a,a),
    inference(resolution,status(thm),[c6368,c74]) ).

cnf(c540227,plain,
    $false,
    inference(resolution,status(thm),[c540224,not_product_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD034-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n018.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 : Tue Jun  7 04:23:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 277.46/277.89  # Version:  1.3
% 277.46/277.89  # SZS status Unsatisfiable
% 277.46/277.89  # SZS output start CNFRefutation
% See solution above
% 277.46/277.89  
% 277.46/277.89  # Initial clauses    : 30
% 277.46/277.89  # Processed clauses  : 2755
% 277.46/277.89  # Factors computed   : 8
% 277.46/277.89  # Resolvents computed: 540497
% 277.46/277.89  # Tautologies deleted: 46
% 277.46/277.89  # Forward subsumed   : 109
% 277.46/277.89  # Backward subsumed  : 2
% 277.46/277.89  # -------- CPU Time ---------
% 277.46/277.89  # User time          : 276.457 s
% 277.46/277.89  # System time        : 0.852 s
% 277.46/277.89  # Total time         : 277.309 s
%------------------------------------------------------------------------------