TSTP Solution File: GEO086+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 04:03:29 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   23 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   18 (   6   ~;   4   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_2_7_2,conjecture,
    ! [X1,X8] :
      ( ( open(X1)
        & part_of(X8,X1) )
     => open(X8) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',theorem_2_7_2) ).

fof(c1,axiom,
    ! [X1,X2] :
      ( ( part_of(X2,X1)
        & X2 != X1 )
     => open(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X8] :
        ( ( open(X1)
          & part_of(X8,X1) )
       => open(X8) ),
    inference(assume_negation,[status(cth)],[theorem_2_7_2]) ).

fof(c_0_3,plain,
    ! [X3,X4] :
      ( ~ part_of(X4,X3)
      | X4 = X3
      | open(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c1])]) ).

fof(c_0_4,negated_conjecture,
    ( open(esk1_0)
    & part_of(esk2_0,esk1_0)
    & ~ open(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( open(X1)
    | X1 = X2
    | ~ part_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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

cnf(c_0_7,negated_conjecture,
    ~ open(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    open(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    esk1_0 = esk2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n024.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 : Sat Jun 18 13:52:02 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            : 6
% 0.23/1.41  # Proof object formula steps           : 5
% 0.23/1.41  # Proof object conjectures             : 8
% 0.23/1.41  # Proof object clause conjectures      : 5
% 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   : 2
% 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                        : 17
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 8
% 0.23/1.41  # Initial clauses                      : 23
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 23
% 0.23/1.41  # Processed clauses                    : 25
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 25
% 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                   : 2
% 0.23/1.41  # Generated clauses                    : 21
% 0.23/1.41  # ...of the previous two non-trivial   : 16
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 19
% 0.23/1.41  # Factorizations                       : 2
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 23
% 0.23/1.41  #    Positive orientable unit clauses  : 2
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 20
% 0.23/1.41  # Current number of unprocessed clauses: 13
% 0.23/1.41  # ...number of literals in the above   : 72
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 2
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 148
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 23
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 6
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 17
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 2019
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.017 s
% 0.23/1.41  # System time              : 0.000 s
% 0.23/1.41  # Total time               : 0.017 s
% 0.23/1.41  # Maximum resident set size: 2824 pages
%------------------------------------------------------------------------------