TSTP Solution File: GEO232+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 04:04:57 EDT 2022

% Result   : Theorem 0.21s 1.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  11   ~;   9   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2] :
      ( line(X2)
     => unequally_directed_lines(X2,reverse_line(X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).

fof(oag8,axiom,
    ! [X2,X3] :
      ( ( line(X2)
        & line(X3) )
     => ( unequally_directed_lines(X2,X3)
        | unequally_directed_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).

fof(oag5,axiom,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X2] :
        ( line(X2)
       => unequally_directed_lines(X2,reverse_line(X2)) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X4,X5] :
      ( ~ line(X4)
      | ~ line(X5)
      | unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).

fof(c_0_5,negated_conjecture,
    ( line(esk1_0)
    & ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    line(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X3] : ~ unequally_directed_lines(X3,X3),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).

cnf(c_0_9,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(esk1_0))
    | unequally_directed_lines(X1,esk1_0)
    | ~ line(X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.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 : Sat Jun 18 12:48:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.39  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.39  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.39  # Preprocessing time       : 0.015 s
% 0.21/1.39  
% 0.21/1.39  # Proof found!
% 0.21/1.39  # SZS status Theorem
% 0.21/1.39  # SZS output start CNFRefutation
% See solution above
% 0.21/1.39  # Proof object total steps             : 13
% 0.21/1.39  # Proof object clause steps            : 6
% 0.21/1.39  # Proof object formula steps           : 7
% 0.21/1.39  # Proof object conjectures             : 7
% 0.21/1.39  # Proof object clause conjectures      : 4
% 0.21/1.39  # Proof object formula conjectures     : 3
% 0.21/1.39  # Proof object initial clauses used    : 4
% 0.21/1.39  # Proof object initial formulas used   : 3
% 0.21/1.39  # Proof object generating inferences   : 2
% 0.21/1.39  # Proof object simplifying inferences  : 2
% 0.21/1.39  # Training examples: 0 positive, 0 negative
% 0.21/1.39  # Parsed axioms                        : 32
% 0.21/1.39  # Removed by relevancy pruning/SinE    : 26
% 0.21/1.39  # Initial clauses                      : 10
% 0.21/1.39  # Removed in clause preprocessing      : 0
% 0.21/1.39  # Initial clauses in saturation        : 10
% 0.21/1.39  # Processed clauses                    : 11
% 0.21/1.39  # ...of these trivial                  : 0
% 0.21/1.39  # ...subsumed                          : 2
% 0.21/1.39  # ...remaining for further processing  : 9
% 0.21/1.39  # Other redundant clauses eliminated   : 0
% 0.21/1.39  # Clauses deleted for lack of memory   : 0
% 0.21/1.39  # Backward-subsumed                    : 0
% 0.21/1.39  # Backward-rewritten                   : 0
% 0.21/1.39  # Generated clauses                    : 4
% 0.21/1.39  # ...of the previous two non-trivial   : 2
% 0.21/1.39  # Contextual simplify-reflections      : 2
% 0.21/1.39  # Paramodulations                      : 4
% 0.21/1.39  # Factorizations                       : 0
% 0.21/1.39  # Equation resolutions                 : 0
% 0.21/1.39  # Current number of processed clauses  : 9
% 0.21/1.39  #    Positive orientable unit clauses  : 1
% 0.21/1.39  #    Positive unorientable unit clauses: 0
% 0.21/1.39  #    Negative unit clauses             : 2
% 0.21/1.39  #    Non-unit-clauses                  : 6
% 0.21/1.39  # Current number of unprocessed clauses: 1
% 0.21/1.39  # ...number of literals in the above   : 4
% 0.21/1.39  # Current number of archived formulas  : 0
% 0.21/1.39  # Current number of archived clauses   : 0
% 0.21/1.39  # Clause-clause subsumption calls (NU) : 14
% 0.21/1.39  # Rec. Clause-clause subsumption calls : 12
% 0.21/1.39  # Non-unit clause-clause subsumptions  : 4
% 0.21/1.39  # Unit Clause-clause subsumption calls : 1
% 0.21/1.39  # Rewrite failures with RHS unbound    : 0
% 0.21/1.39  # BW rewrite match attempts            : 0
% 0.21/1.39  # BW rewrite match successes           : 0
% 0.21/1.39  # Condensation attempts                : 0
% 0.21/1.39  # Condensation successes               : 0
% 0.21/1.39  # Termbank termtop insertions          : 967
% 0.21/1.39  
% 0.21/1.39  # -------------------------------------------------
% 0.21/1.39  # User time                : 0.013 s
% 0.21/1.39  # System time              : 0.003 s
% 0.21/1.39  # Total time               : 0.016 s
% 0.21/1.39  # Maximum resident set size: 2704 pages
%------------------------------------------------------------------------------