%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 03:44:00 EDT 2022

% Result   : Theorem 7.76s 2.33s
% Output   : CNFRefutation 7.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  26   ~;  35   |;   3   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X2,X3] :
      ( distinct_points(X1,X2)
     => ( apart_point_and_line(X3,line_connecting(X1,X2))
       => apart_point_and_line(X1,line_connecting(X3,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

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

fof(ceq1,axiom,
    ! [X1,X2,X3] :
      ( apart_point_and_line(X1,X2)
     => ( distinct_points(X1,X3)
        | apart_point_and_line(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).

fof(cu1,axiom,
    ! [X1,X2,X4,X5] :
      ( ( distinct_points(X1,X2)
        & distinct_lines(X4,X5) )
     => ( apart_point_and_line(X1,X4)
        | apart_point_and_line(X1,X5)
        | apart_point_and_line(X2,X4)
        | apart_point_and_line(X2,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).

fof(ceq2,axiom,
    ! [X1,X2,X3] :
      ( apart_point_and_line(X1,X2)
     => ( distinct_lines(X2,X3)
        | apart_point_and_line(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).

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

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( distinct_points(X1,X2)
       => ( apart_point_and_line(X3,line_connecting(X1,X2))
         => apart_point_and_line(X1,line_connecting(X3,X2)) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_7,plain,
    ! [X25,X26] :
      ( ~ distinct_points(X25,X26)
      | ~ apart_point_and_line(X26,line_connecting(X25,X26)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci2])])]) ).

fof(c_0_8,negated_conjecture,
    ( distinct_points(esk1_0,esk2_0)
    & apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    & ~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_9,plain,
    ! [X35,X36,X37] :
      ( ~ apart_point_and_line(X35,X36)
      | distinct_points(X35,X37)
      | apart_point_and_line(X37,X36) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq1])]) ).

cnf(c_0_10,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( distinct_points(X1,X3)
    | apart_point_and_line(X3,X2)
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_14,plain,
    ! [X31,X32,X33,X34] :
      ( ~ distinct_points(X31,X32)
      | ~ distinct_lines(X33,X34)
      | apart_point_and_line(X31,X33)
      | apart_point_and_line(X31,X34)
      | apart_point_and_line(X32,X33)
      | apart_point_and_line(X32,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cu1])]) ).

fof(c_0_15,plain,
    ! [X38,X39,X40] :
      ( ~ apart_point_and_line(X38,X39)
      | distinct_lines(X39,X40)
      | apart_point_and_line(X38,X40) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])]) ).

fof(c_0_16,plain,
    ! [X23,X24] :
      ( ~ distinct_points(X23,X24)
      | ~ apart_point_and_line(X23,line_connecting(X23,X24)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci1])])]) ).

cnf(c_0_17,negated_conjecture,
    ~ apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
    | distinct_points(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( apart_point_and_line(X1,X3)
    | apart_point_and_line(X1,X4)
    | apart_point_and_line(X2,X3)
    | apart_point_and_line(X2,X4)
    | ~ distinct_points(X1,X2)
    | ~ distinct_lines(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( distinct_lines(X2,X3)
    | apart_point_and_line(X1,X3)
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    distinct_points(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ( apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk2_0,X2)
    | apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk1_0,X2)
    | ~ distinct_lines(X2,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ~ apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    ~ apart_point_and_line(esk3_0,line_connecting(esk3_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk2_0,X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_29,negated_conjecture,
    ~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_10,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n003.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 11:36:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.76/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.76/2.33  # No SInE strategy applied
% 7.76/2.33  # Trying AutoSched0 for 150 seconds
% 7.76/2.33  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 7.76/2.33  # and selection function SelectCQIPrecWNTNp.
% 7.76/2.33  #
% 7.76/2.33  # Preprocessing time       : 0.014 s
% 7.76/2.33  
% 7.76/2.33  # Proof found!
% 7.76/2.33  # SZS status Theorem
% 7.76/2.33  # SZS output start CNFRefutation
% See solution above
% 7.76/2.33  # Training examples: 0 positive, 0 negative
% 7.76/2.33  
% 7.76/2.33  # -------------------------------------------------
% 7.76/2.33  # User time                : 0.017 s
% 7.76/2.33  # System time              : 0.004 s
% 7.76/2.33  # Total time               : 0.021 s
% 7.76/2.33  # Maximum resident set size: 7124 pages
% 7.76/2.33  
%------------------------------------------------------------------------------