TSTP Solution File: FLD006-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 02:24:44 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_sum_1,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    input ).

cnf(commutativity_addition,axiom,
    ( sum(X19,X18,X17)
    | ~ sum(X18,X19,X17) ),
    input ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    input ).

cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X20),X20,additive_identity)
    | ~ defined(X20) ),
    input ).

cnf(c24,plain,
    sum(additive_inverse(additive_identity),additive_identity,additive_identity),
    inference(resolution,status(thm),[existence_of_inverse_addition,well_definedness_of_additive_identity]) ).

cnf(c52,plain,
    sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    inference(resolution,status(thm),[c24,commutativity_addition]) ).

cnf(c58,plain,
    $false,
    inference(resolution,status(thm),[c52,not_sum_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun  6 21:20:37 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.47/0.63  # Version:  1.3
% 0.47/0.63  # SZS status Unsatisfiable
% 0.47/0.63  # SZS output start CNFRefutation
% See solution above
% 0.47/0.63  
% 0.47/0.63  # Initial clauses    : 27
% 0.47/0.63  # Processed clauses  : 29
% 0.47/0.63  # Factors computed   : 0
% 0.47/0.63  # Resolvents computed: 60
% 0.47/0.63  # Tautologies deleted: 0
% 0.47/0.63  # Forward subsumed   : 4
% 0.47/0.63  # Backward subsumed  : 0
% 0.47/0.63  # -------- CPU Time ---------
% 0.47/0.63  # User time          : 0.241 s
% 0.47/0.63  # System time        : 0.022 s
% 0.47/0.63  # Total time         : 0.263 s
%------------------------------------------------------------------------------