TSTP Solution File: FLD021-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD021-3 : 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 02:24:49 EDT 2022

% Result   : Unsatisfiable 114.65s 114.96s
% Output   : Refutation 114.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_sum_4,negated_conjecture,
    ~ sum(m,a,a),
    input ).

cnf(sum_3,negated_conjecture,
    sum(additive_identity,m,additive_identity),
    input ).

cnf(commutativity_addition,axiom,
    ( sum(X19,X18,X20)
    | ~ sum(X18,X19,X20) ),
    input ).

cnf(c58,plain,
    sum(m,additive_identity,additive_identity),
    inference(resolution,status(thm),[commutativity_addition,sum_3]) ).

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

cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X15,X15)
    | ~ defined(X15) ),
    input ).

cnf(c14,plain,
    sum(additive_identity,a,a),
    inference(resolution,status(thm),[existence_of_identity_addition,a_is_defined]) ).

cnf(associativity_addition_1,axiom,
    ( sum(X5,X7,X3)
    | ~ sum(X5,X4,X8)
    | ~ sum(X4,X6,X7)
    | ~ sum(X8,X6,X3) ),
    input ).

cnf(c27,plain,
    ( sum(X93,X94,a)
    | ~ sum(X93,X92,additive_identity)
    | ~ sum(X92,a,X94) ),
    inference(resolution,status(thm),[c14,associativity_addition_1]) ).

cnf(c2258,plain,
    ( sum(X502,a,a)
    | ~ sum(X502,additive_identity,additive_identity) ),
    inference(resolution,status(thm),[c27,c14]) ).

cnf(c267971,plain,
    sum(m,a,a),
    inference(resolution,status(thm),[c2258,c58]) ).

cnf(c267973,plain,
    $false,
    inference(resolution,status(thm),[c267971,not_sum_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : FLD021-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n018.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 : Mon Jun  6 14:12:19 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 114.65/114.96  # Version:  1.3
% 114.65/114.96  # SZS status Unsatisfiable
% 114.65/114.96  # SZS output start CNFRefutation
% See solution above
% 114.65/114.96  
% 114.65/114.96  # Initial clauses    : 30
% 114.65/114.96  # Processed clauses  : 1936
% 114.65/114.96  # Factors computed   : 8
% 114.65/114.96  # Resolvents computed: 269384
% 114.65/114.96  # Tautologies deleted: 6
% 114.65/114.96  # Forward subsumed   : 86
% 114.65/114.96  # Backward subsumed  : 0
% 114.65/114.96  # -------- CPU Time ---------
% 114.65/114.96  # User time          : 114.044 s
% 114.65/114.96  # System time        : 0.451 s
% 114.65/114.96  # Total time         : 114.495 s
%------------------------------------------------------------------------------