TSTP Solution File: KLE059+1 by ET---2.0

View Problem - Process Solution

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% File     : ET---2.0
% Problem  : KLE059+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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 : Sun Jul 17 01:55:39 EDT 2022

% Result   : Theorem 0.23s 1.40s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5] :
      ( addition(X4,X5) = X5
     => addition(domain(X4),domain(X5)) = domain(X5) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).

fof(domain5,axiom,
    ! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain5) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X4,X5] :
        ( addition(X4,X5) = X5
       => addition(domain(X4),domain(X5)) = domain(X5) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_3,plain,
    ! [X6,X7] : domain(addition(X6,X7)) = addition(domain(X6),domain(X7)),
    inference(variable_rename,[status(thm)],[domain5]) ).

fof(c_0_4,negated_conjecture,
    ( addition(esk1_0,esk2_0) = esk2_0
    & addition(domain(esk1_0),domain(esk2_0)) != domain(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    addition(esk1_0,esk2_0) = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    addition(domain(esk1_0),domain(esk2_0)) != domain(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE059+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 08:20:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40  # Preprocessing time       : 0.014 s
% 0.23/1.40  
% 0.23/1.40  # Proof found!
% 0.23/1.40  # SZS status Theorem
% 0.23/1.40  # SZS output start CNFRefutation
% See solution above
% 0.23/1.40  # Proof object total steps             : 9
% 0.23/1.40  # Proof object clause steps            : 4
% 0.23/1.40  # Proof object formula steps           : 5
% 0.23/1.40  # Proof object conjectures             : 6
% 0.23/1.40  # Proof object clause conjectures      : 3
% 0.23/1.40  # Proof object formula conjectures     : 3
% 0.23/1.40  # Proof object initial clauses used    : 3
% 0.23/1.40  # Proof object initial formulas used   : 2
% 0.23/1.40  # Proof object generating inferences   : 1
% 0.23/1.40  # Proof object simplifying inferences  : 1
% 0.23/1.40  # Training examples: 0 positive, 0 negative
% 0.23/1.40  # Parsed axioms                        : 18
% 0.23/1.40  # Removed by relevancy pruning/SinE    : 8
% 0.23/1.40  # Initial clauses                      : 11
% 0.23/1.40  # Removed in clause preprocessing      : 0
% 0.23/1.40  # Initial clauses in saturation        : 11
% 0.23/1.40  # Processed clauses                    : 5
% 0.23/1.40  # ...of these trivial                  : 0
% 0.23/1.40  # ...subsumed                          : 0
% 0.23/1.40  # ...remaining for further processing  : 5
% 0.23/1.40  # Other redundant clauses eliminated   : 0
% 0.23/1.40  # Clauses deleted for lack of memory   : 0
% 0.23/1.40  # Backward-subsumed                    : 0
% 0.23/1.40  # Backward-rewritten                   : 0
% 0.23/1.40  # Generated clauses                    : 6
% 0.23/1.40  # ...of the previous two non-trivial   : 0
% 0.23/1.40  # Contextual simplify-reflections      : 0
% 0.23/1.40  # Paramodulations                      : 6
% 0.23/1.40  # Factorizations                       : 0
% 0.23/1.40  # Equation resolutions                 : 0
% 0.23/1.40  # Current number of processed clauses  : 5
% 0.23/1.40  #    Positive orientable unit clauses  : 3
% 0.23/1.40  #    Positive unorientable unit clauses: 1
% 0.23/1.40  #    Negative unit clauses             : 1
% 0.23/1.40  #    Non-unit-clauses                  : 0
% 0.23/1.40  # Current number of unprocessed clauses: 6
% 0.23/1.40  # ...number of literals in the above   : 6
% 0.23/1.40  # Current number of archived formulas  : 0
% 0.23/1.40  # Current number of archived clauses   : 0
% 0.23/1.40  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.40  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.40  # Unit Clause-clause subsumption calls : 0
% 0.23/1.40  # Rewrite failures with RHS unbound    : 0
% 0.23/1.40  # BW rewrite match attempts            : 7
% 0.23/1.40  # BW rewrite match successes           : 6
% 0.23/1.40  # Condensation attempts                : 0
% 0.23/1.40  # Condensation successes               : 0
% 0.23/1.40  # Termbank termtop insertions          : 527
% 0.23/1.40  
% 0.23/1.40  # -------------------------------------------------
% 0.23/1.40  # User time                : 0.012 s
% 0.23/1.40  # System time              : 0.002 s
% 0.23/1.40  # Total time               : 0.014 s
% 0.23/1.40  # Maximum resident set size: 2816 pages
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