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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 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 04:04:54 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   2 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  20   ~;  12   |;  11   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (   3 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X9,X10] :
      ( ( point(X9)
        & point(X10)
        & distinct_points(X9,X10) )
     => ? [X1] :
          ( line(X1)
         => ( incident_point_and_line(X9,X1)
            & incident_point_and_line(X10,X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).

fof(a4,axiom,
    ! [X1,X2] :
      ( incident_point_and_line(X1,X2)
    <=> ~ apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

fof(ci1,axiom,
    ! [X1,X2] :
      ( distinct_points(X1,X2)
     => ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).

fof(ci2,axiom,
    ! [X1,X2] :
      ( distinct_points(X1,X2)
     => ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X9,X10] :
        ( ( point(X9)
          & point(X10)
          & distinct_points(X9,X10) )
       => ? [X1] :
            ( line(X1)
           => ( incident_point_and_line(X9,X1)
              & incident_point_and_line(X10,X1) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_5,negated_conjecture,
    ! [X13,X13] :
      ( point(esk1_0)
      & point(esk2_0)
      & distinct_points(esk1_0,esk2_0)
      & line(X13)
      & ( ~ incident_point_and_line(esk1_0,X13)
        | ~ incident_point_and_line(esk2_0,X13) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).

fof(c_0_6,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ incident_point_and_line(X3,X4)
        | ~ apart_point_and_line(X3,X4) )
      & ( apart_point_and_line(X3,X4)
        | incident_point_and_line(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a4])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ incident_point_and_line(esk2_0,X1)
    | ~ incident_point_and_line(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X3,X4] :
      ( ~ distinct_points(X3,X4)
      | ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci1])])]) ).

cnf(c_0_10,negated_conjecture,
    ( apart_point_and_line(esk1_0,X1)
    | ~ incident_point_and_line(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_11,plain,
    ! [X3,X4] :
      ( ~ distinct_points(X3,X4)
      | ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci2])])]) ).

cnf(c_0_12,plain,
    ( ~ apart_point_and_line(X1,line_connecting(X1,X2))
    | ~ distinct_points(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_8]) ).

cnf(c_0_14,plain,
    ( ~ apart_point_and_line(X1,line_connecting(X2,X1))
    | ~ distinct_points(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,X1))
    | ~ distinct_points(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 10:37:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.017 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 18
% 0.24/1.42  # Proof object clause steps            : 9
% 0.24/1.42  # Proof object formula steps           : 9
% 0.24/1.42  # Proof object conjectures             : 9
% 0.24/1.42  # Proof object clause conjectures      : 6
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 5
% 0.24/1.42  # Proof object initial formulas used   : 4
% 0.24/1.42  # Proof object generating inferences   : 4
% 0.24/1.42  # Proof object simplifying inferences  : 2
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 36
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 51
% 0.24/1.42  # Removed in clause preprocessing      : 4
% 0.24/1.42  # Initial clauses in saturation        : 47
% 0.24/1.42  # Processed clauses                    : 89
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 25
% 0.24/1.42  # ...remaining for further processing  : 64
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 180
% 0.24/1.42  # ...of the previous two non-trivial   : 142
% 0.24/1.42  # Contextual simplify-reflections      : 14
% 0.24/1.42  # Paramodulations                      : 100
% 0.24/1.42  # Factorizations                       : 80
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 64
% 0.24/1.42  #    Positive orientable unit clauses  : 6
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 8
% 0.24/1.42  #    Non-unit-clauses                  : 50
% 0.24/1.42  # Current number of unprocessed clauses: 100
% 0.24/1.42  # ...number of literals in the above   : 387
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 1
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 796
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 460
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 38
% 0.24/1.42  # Unit Clause-clause subsumption calls : 32
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 4510
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.017 s
% 0.24/1.42  # System time              : 0.005 s
% 0.24/1.42  # Total time               : 0.022 s
% 0.24/1.42  # Maximum resident set size: 2988 pages
% 0.28/23.41  eprover: CPU time limit exceeded, terminating
% 0.28/23.42  eprover: CPU time limit exceeded, terminating
% 0.28/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.43  eprover: No such file or directory
% 0.28/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.43  eprover: No such file or directory
% 0.28/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.43  eprover: No such file or directory
% 0.28/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44  eprover: No such file or directory
% 0.28/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.44  eprover: No such file or directory
% 0.28/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44  eprover: No such file or directory
% 0.28/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44  eprover: No such file or directory
% 0.28/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.44  eprover: No such file or directory
% 0.28/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45  eprover: No such file or directory
% 0.28/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.45  eprover: No such file or directory
% 0.28/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45  eprover: No such file or directory
% 0.28/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.46  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48  eprover: No such file or directory
% 0.28/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------