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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO242+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 04:05:02 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (   9   ~;   4   |;   9   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   6 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X3,X6,X4] :
      ( ( incident_point_and_line(X3,X4)
        & distinct_points(X3,X6)
        & right_convergent_lines(X4,line_connecting(X3,X6)) )
     => right_apart_point(X6,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).

fof(a3_defns,axiom,
    ! [X1,X2] :
      ( right_convergent_lines(X1,X2)
    <=> left_convergent_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a3_defns) ).

fof(ax11_basics,axiom,
    ! [X4,X5] :
      ~ ( left_convergent_lines(X4,X5)
        | left_convergent_lines(X4,reverse_line(X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X3,X6,X4] :
        ( ( incident_point_and_line(X3,X4)
          & distinct_points(X3,X6)
          & right_convergent_lines(X4,line_connecting(X3,X6)) )
       => right_apart_point(X6,X4) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ right_convergent_lines(X3,X4)
        | left_convergent_lines(X3,reverse_line(X4)) )
      & ( ~ left_convergent_lines(X3,reverse_line(X4))
        | right_convergent_lines(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a3_defns])])])]) ).

fof(c_0_5,negated_conjecture,
    ( incident_point_and_line(esk1_0,esk3_0)
    & distinct_points(esk1_0,esk2_0)
    & right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0))
    & ~ right_apart_point(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X6,X7,X6,X7] :
      ( ~ left_convergent_lines(X6,X7)
      & ~ left_convergent_lines(X6,reverse_line(X7)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11_basics])])])]) ).

cnf(c_0_7,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ right_convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO242+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sat Jun 18 10:06:37 EDT 2022
% 0.20/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.017 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 11
% 0.25/1.43  # Proof object clause steps            : 4
% 0.25/1.43  # Proof object formula steps           : 7
% 0.25/1.43  # Proof object conjectures             : 5
% 0.25/1.43  # Proof object clause conjectures      : 2
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 3
% 0.25/1.43  # Proof object initial formulas used   : 3
% 0.25/1.43  # Proof object generating inferences   : 1
% 0.25/1.43  # Proof object simplifying inferences  : 1
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 37
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 12
% 0.25/1.43  # Initial clauses                      : 43
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 43
% 0.25/1.43  # Processed clauses                    : 45
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 13
% 0.25/1.43  # ...remaining for further processing  : 31
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 0
% 0.25/1.43  # Generated clauses                    : 13
% 0.25/1.43  # ...of the previous two non-trivial   : 7
% 0.25/1.43  # Contextual simplify-reflections      : 6
% 0.25/1.43  # Paramodulations                      : 13
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 31
% 0.25/1.43  #    Positive orientable unit clauses  : 5
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 8
% 0.25/1.43  #    Non-unit-clauses                  : 18
% 0.25/1.43  # Current number of unprocessed clauses: 5
% 0.25/1.43  # ...number of literals in the above   : 9
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 0
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 201
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 135
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 10
% 0.25/1.43  # Unit Clause-clause subsumption calls : 12
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 0
% 0.25/1.43  # BW rewrite match successes           : 0
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 2574
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.015 s
% 0.25/1.43  # System time              : 0.004 s
% 0.25/1.43  # Total time               : 0.019 s
% 0.25/1.43  # Maximum resident set size: 3048 pages
%------------------------------------------------------------------------------