TSTP Solution File: NUM395+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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 : Mon Jul 18 09:32:05 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   4   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t27_ordinal1,conjecture,
    ordinal(empty_set),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t27_ordinal1) ).

fof(cc2_ordinal1,axiom,
    ! [X1] :
      ( ( epsilon_transitive(X1)
        & epsilon_connected(X1) )
     => ordinal(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_ordinal1) ).

fof(l18_ordinal1,axiom,
    ( epsilon_transitive(empty_set)
    & epsilon_connected(empty_set) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l18_ordinal1) ).

fof(c_0_3,negated_conjecture,
    ~ ordinal(empty_set),
    inference(assume_negation,[status(cth)],[t27_ordinal1]) ).

fof(c_0_4,plain,
    ! [X2] :
      ( ~ epsilon_transitive(X2)
      | ~ epsilon_connected(X2)
      | ordinal(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])]) ).

fof(c_0_5,negated_conjecture,
    ~ ordinal(empty_set),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( ordinal(X1)
    | ~ epsilon_connected(X1)
    | ~ epsilon_transitive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    epsilon_connected(empty_set),
    inference(split_conjunct,[status(thm)],[l18_ordinal1]) ).

cnf(c_0_8,plain,
    epsilon_transitive(empty_set),
    inference(split_conjunct,[status(thm)],[l18_ordinal1]) ).

cnf(c_0_9,negated_conjecture,
    ~ ordinal(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 02:08:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.016 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 11
% 0.23/1.41  # Proof object clause steps            : 5
% 0.23/1.41  # Proof object formula steps           : 6
% 0.23/1.41  # Proof object conjectures             : 4
% 0.23/1.41  # Proof object clause conjectures      : 1
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 4
% 0.23/1.41  # Proof object initial formulas used   : 3
% 0.23/1.41  # Proof object generating inferences   : 1
% 0.23/1.41  # Proof object simplifying inferences  : 3
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 29
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 14
% 0.23/1.41  # Initial clauses                      : 24
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 24
% 0.23/1.41  # Processed clauses                    : 23
% 0.23/1.41  # ...of these trivial                  : 1
% 0.23/1.41  # ...subsumed                          : 2
% 0.23/1.41  # ...remaining for further processing  : 20
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 8
% 0.23/1.41  # ...of the previous two non-trivial   : 5
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 8
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 20
% 0.23/1.41  #    Positive orientable unit clauses  : 11
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 3
% 0.23/1.41  #    Non-unit-clauses                  : 6
% 0.23/1.41  # Current number of unprocessed clauses: 6
% 0.23/1.41  # ...number of literals in the above   : 11
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 0
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 2
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 2
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 2
% 0.23/1.41  # Unit Clause-clause subsumption calls : 2
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 0
% 0.23/1.41  # BW rewrite match successes           : 0
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 858
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.013 s
% 0.23/1.41  # System time              : 0.003 s
% 0.23/1.41  # Total time               : 0.016 s
% 0.23/1.41  # Maximum resident set size: 2668 pages
%------------------------------------------------------------------------------