TSTP Solution File: GEO187+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO187+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 08:48:22 EST 2010

% Result   : Theorem 118.61s
% Output   : CNFRefutation 118.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   86 (  15 unt;   0 def)
%            Number of atoms       :  246 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  225 (  65   ~; 124   |;  23   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  135 (   0 sgn  80   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X4,X5,X6] :
      ( convergent_lines(X4,X5)
     => ( distinct_lines(X5,X6)
        | convergent_lines(X4,X6) ) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',ceq3) ).

fof(4,axiom,
    ! [X4,X5,X6] :
      ( apart_point_and_line(X4,X5)
     => ( distinct_lines(X5,X6)
        | apart_point_and_line(X4,X6) ) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',ceq2) ).

fof(6,axiom,
    ! [X4,X5,X6] :
      ( convergent_lines(X4,X5)
     => ( convergent_lines(X4,X6)
        | convergent_lines(X5,X6) ) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',ax6) ).

fof(7,axiom,
    ! [X4,X5] :
      ( distinct_points(X4,X5)
     => ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',ci2) ).

fof(8,axiom,
    ! [X4,X5] :
      ( distinct_points(X4,X5)
     => ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',ci1) ).

fof(11,axiom,
    ! [X4] : ~ convergent_lines(X4,X4),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',apart3) ).

fof(15,axiom,
    ! [X4,X5] :
      ( incident_point_and_line(X4,X5)
    <=> ~ apart_point_and_line(X4,X5) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',a4) ).

fof(19,axiom,
    ! [X4,X5] :
      ( distinct_lines(X4,X5)
     => convergent_lines(X4,X5) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',p1) ).

fof(20,axiom,
    ! [X4,X5,X9,X10] :
      ( ( distinct_points(X4,X5)
        & distinct_lines(X9,X10) )
     => ( apart_point_and_line(X4,X9)
        | apart_point_and_line(X4,X10)
        | apart_point_and_line(X5,X9)
        | apart_point_and_line(X5,X10) ) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',cu1) ).

fof(23,conjecture,
    ! [X4,X5,X9,X10] :
      ( ( distinct_points(X4,X5)
        & distinct_points(X9,X10)
        & incident_point_and_line(X4,line_connecting(X9,X10))
        & incident_point_and_line(X5,line_connecting(X9,X10)) )
     => ( incident_point_and_line(X9,line_connecting(X4,X5))
        & incident_point_and_line(X10,line_connecting(X4,X5)) ) ),
    file('/tmp/tmpU4d3kz/sel_GEO187+3.p_3',con) ).

fof(24,negated_conjecture,
    ~ ! [X4,X5,X9,X10] :
        ( ( distinct_points(X4,X5)
          & distinct_points(X9,X10)
          & incident_point_and_line(X4,line_connecting(X9,X10))
          & incident_point_and_line(X5,line_connecting(X9,X10)) )
       => ( incident_point_and_line(X9,line_connecting(X4,X5))
          & incident_point_and_line(X10,line_connecting(X4,X5)) ) ),
    inference(assume_negation,[status(cth)],[23]) ).

fof(26,plain,
    ! [X4,X5] :
      ( distinct_points(X4,X5)
     => ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(27,plain,
    ! [X4,X5] :
      ( distinct_points(X4,X5)
     => ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(30,plain,
    ! [X4] : ~ convergent_lines(X4,X4),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(31,plain,
    ! [X4,X5] :
      ( incident_point_and_line(X4,X5)
    <=> ~ apart_point_and_line(X4,X5) ),
    inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).

fof(48,plain,
    ! [X4,X5,X6] :
      ( ~ convergent_lines(X4,X5)
      | distinct_lines(X5,X6)
      | convergent_lines(X4,X6) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(49,plain,
    ! [X7,X8,X9] :
      ( ~ convergent_lines(X7,X8)
      | distinct_lines(X8,X9)
      | convergent_lines(X7,X9) ),
    inference(variable_rename,[status(thm)],[48]) ).

cnf(50,plain,
    ( convergent_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ convergent_lines(X1,X3) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(51,plain,
    ! [X4,X5,X6] :
      ( ~ apart_point_and_line(X4,X5)
      | distinct_lines(X5,X6)
      | apart_point_and_line(X4,X6) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(52,plain,
    ! [X7,X8,X9] :
      ( ~ apart_point_and_line(X7,X8)
      | distinct_lines(X8,X9)
      | apart_point_and_line(X7,X9) ),
    inference(variable_rename,[status(thm)],[51]) ).

cnf(53,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_lines(X3,X2)
    | ~ apart_point_and_line(X1,X3) ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(57,plain,
    ! [X4,X5,X6] :
      ( ~ convergent_lines(X4,X5)
      | convergent_lines(X4,X6)
      | convergent_lines(X5,X6) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(58,plain,
    ! [X7,X8,X9] :
      ( ~ convergent_lines(X7,X8)
      | convergent_lines(X7,X9)
      | convergent_lines(X8,X9) ),
    inference(variable_rename,[status(thm)],[57]) ).

cnf(59,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[58]) ).

fof(60,plain,
    ! [X4,X5] :
      ( ~ distinct_points(X4,X5)
      | ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
    inference(fof_nnf,[status(thm)],[26]) ).

fof(61,plain,
    ! [X6,X7] :
      ( ~ distinct_points(X6,X7)
      | ~ apart_point_and_line(X7,line_connecting(X6,X7)) ),
    inference(variable_rename,[status(thm)],[60]) ).

cnf(62,plain,
    ( ~ apart_point_and_line(X1,line_connecting(X2,X1))
    | ~ distinct_points(X2,X1) ),
    inference(split_conjunct,[status(thm)],[61]) ).

fof(63,plain,
    ! [X4,X5] :
      ( ~ distinct_points(X4,X5)
      | ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
    inference(fof_nnf,[status(thm)],[27]) ).

fof(64,plain,
    ! [X6,X7] :
      ( ~ distinct_points(X6,X7)
      | ~ apart_point_and_line(X6,line_connecting(X6,X7)) ),
    inference(variable_rename,[status(thm)],[63]) ).

cnf(65,plain,
    ( ~ apart_point_and_line(X1,line_connecting(X1,X2))
    | ~ distinct_points(X1,X2) ),
    inference(split_conjunct,[status(thm)],[64]) ).

fof(70,plain,
    ! [X5] : ~ convergent_lines(X5,X5),
    inference(variable_rename,[status(thm)],[30]) ).

cnf(71,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[70]) ).

fof(81,plain,
    ! [X4,X5] :
      ( ( ~ incident_point_and_line(X4,X5)
        | ~ apart_point_and_line(X4,X5) )
      & ( apart_point_and_line(X4,X5)
        | incident_point_and_line(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(82,plain,
    ! [X6,X7] :
      ( ( ~ incident_point_and_line(X6,X7)
        | ~ apart_point_and_line(X6,X7) )
      & ( apart_point_and_line(X6,X7)
        | incident_point_and_line(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[81]) ).

cnf(83,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[82]) ).

cnf(84,plain,
    ( ~ apart_point_and_line(X1,X2)
    | ~ incident_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[82]) ).

fof(93,plain,
    ! [X4,X5] :
      ( ~ distinct_lines(X4,X5)
      | convergent_lines(X4,X5) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(94,plain,
    ! [X6,X7] :
      ( ~ distinct_lines(X6,X7)
      | convergent_lines(X6,X7) ),
    inference(variable_rename,[status(thm)],[93]) ).

cnf(95,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[94]) ).

fof(96,plain,
    ! [X4,X5,X9,X10] :
      ( ~ distinct_points(X4,X5)
      | ~ distinct_lines(X9,X10)
      | apart_point_and_line(X4,X9)
      | apart_point_and_line(X4,X10)
      | apart_point_and_line(X5,X9)
      | apart_point_and_line(X5,X10) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(97,plain,
    ! [X11,X12,X13,X14] :
      ( ~ distinct_points(X11,X12)
      | ~ distinct_lines(X13,X14)
      | apart_point_and_line(X11,X13)
      | apart_point_and_line(X11,X14)
      | apart_point_and_line(X12,X13)
      | apart_point_and_line(X12,X14) ),
    inference(variable_rename,[status(thm)],[96]) ).

cnf(98,plain,
    ( apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | apart_point_and_line(X4,X2)
    | apart_point_and_line(X4,X3)
    | ~ distinct_lines(X3,X2)
    | ~ distinct_points(X4,X1) ),
    inference(split_conjunct,[status(thm)],[97]) ).

fof(105,negated_conjecture,
    ? [X4,X5,X9,X10] :
      ( distinct_points(X4,X5)
      & distinct_points(X9,X10)
      & incident_point_and_line(X4,line_connecting(X9,X10))
      & incident_point_and_line(X5,line_connecting(X9,X10))
      & ( ~ incident_point_and_line(X9,line_connecting(X4,X5))
        | ~ incident_point_and_line(X10,line_connecting(X4,X5)) ) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(106,negated_conjecture,
    ? [X11,X12,X13,X14] :
      ( distinct_points(X11,X12)
      & distinct_points(X13,X14)
      & incident_point_and_line(X11,line_connecting(X13,X14))
      & incident_point_and_line(X12,line_connecting(X13,X14))
      & ( ~ incident_point_and_line(X13,line_connecting(X11,X12))
        | ~ incident_point_and_line(X14,line_connecting(X11,X12)) ) ),
    inference(variable_rename,[status(thm)],[105]) ).

fof(107,negated_conjecture,
    ( distinct_points(esk1_0,esk2_0)
    & distinct_points(esk3_0,esk4_0)
    & incident_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0))
    & incident_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
    & ( ~ incident_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
      | ~ incident_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)) ) ),
    inference(skolemize,[status(esa)],[106]) ).

cnf(108,negated_conjecture,
    ( ~ incident_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0))
    | ~ incident_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(109,negated_conjecture,
    incident_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(110,negated_conjecture,
    incident_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0)),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(111,negated_conjecture,
    distinct_points(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(112,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[107]) ).

cnf(113,negated_conjecture,
    ~ apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[84,110,theory(equality)]) ).

cnf(114,negated_conjecture,
    ~ apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[84,109,theory(equality)]) ).

cnf(118,negated_conjecture,
    ( apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0))
    | ~ incident_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[108,83,theory(equality)]) ).

cnf(129,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)],[98,112,theory(equality)]) ).

cnf(131,negated_conjecture,
    ( apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[118,83,theory(equality)]) ).

cnf(133,negated_conjecture,
    ( apart_point_and_line(esk4_0,X1)
    | distinct_lines(line_connecting(esk1_0,esk2_0),X1)
    | apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[53,131,theory(equality)]) ).

cnf(233,negated_conjecture,
    ( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk4_0,X1) ),
    inference(spm,[status(thm)],[129,133,theory(equality)]) ).

cnf(1323,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk4_0,X1)
    | apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk1_0,X1)
    | ~ distinct_points(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[65,233,theory(equality)]) ).

cnf(1327,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk4_0,X1)
    | apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk1_0,X1)
    | $false ),
    inference(rw,[status(thm)],[1323,112,theory(equality)]) ).

cnf(1328,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk4_0,X1)
    | apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk1_0,X1) ),
    inference(cn,[status(thm)],[1327,theory(equality)]) ).

cnf(26360,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
    | apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[113,1328,theory(equality)]) ).

cnf(26367,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0)) ),
    inference(sr,[status(thm)],[26360,114,theory(equality)]) ).

cnf(65752,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | ~ distinct_points(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[62,26367,theory(equality)]) ).

cnf(65754,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | $false ),
    inference(rw,[status(thm)],[65752,111,theory(equality)]) ).

cnf(65755,negated_conjecture,
    ( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[65754,theory(equality)]) ).

cnf(65757,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk1_0,esk2_0),X1)
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[53,65755,theory(equality)]) ).

cnf(71496,negated_conjecture,
    ( convergent_lines(line_connecting(esk1_0,esk2_0),X1)
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk3_0,X1) ),
    inference(spm,[status(thm)],[95,65757,theory(equality)]) ).

cnf(79505,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1)
    | ~ distinct_points(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[62,71496,theory(equality)]) ).

cnf(79520,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1)
    | $false ),
    inference(rw,[status(thm)],[79505,112,theory(equality)]) ).

cnf(79521,negated_conjecture,
    ( apart_point_and_line(esk3_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(cn,[status(thm)],[79520,theory(equality)]) ).

cnf(79601,negated_conjecture,
    ( convergent_lines(X1,X2)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X2)
    | apart_point_and_line(esk3_0,X1) ),
    inference(spm,[status(thm)],[59,79521,theory(equality)]) ).

cnf(79934,negated_conjecture,
    ( convergent_lines(line_connecting(esk1_0,esk2_0),X2)
    | convergent_lines(line_connecting(esk3_0,X1),X2)
    | ~ distinct_points(esk3_0,X1) ),
    inference(spm,[status(thm)],[65,79601,theory(equality)]) ).

cnf(88009,negated_conjecture,
    ( convergent_lines(line_connecting(esk1_0,esk2_0),X1)
    | convergent_lines(line_connecting(esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[79934,111,theory(equality)]) ).

cnf(88824,negated_conjecture,
    ( distinct_lines(X1,X2)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X2)
    | convergent_lines(line_connecting(esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[50,88009,theory(equality)]) ).

cnf(112936,negated_conjecture,
    ( distinct_lines(line_connecting(esk3_0,esk4_0),X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[71,88824,theory(equality)]) ).

cnf(119709,negated_conjecture,
    ( apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0))
    | apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
    | apart_point_and_line(esk2_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[129,112936,theory(equality)]) ).

cnf(119860,negated_conjecture,
    ( apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
    | apart_point_and_line(esk2_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(sr,[status(thm)],[119709,113,theory(equality)]) ).

cnf(119861,negated_conjecture,
    ( apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk2_0,X1)
    | convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(sr,[status(thm)],[119860,114,theory(equality)]) ).

cnf(119944,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[71,119861,theory(equality)]) ).

cnf(119967,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | ~ distinct_points(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[65,119944,theory(equality)]) ).

cnf(119969,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | $false ),
    inference(rw,[status(thm)],[119967,112,theory(equality)]) ).

cnf(119970,negated_conjecture,
    apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[119969,theory(equality)]) ).

cnf(119972,negated_conjecture,
    ~ distinct_points(esk1_0,esk2_0),
    inference(spm,[status(thm)],[62,119970,theory(equality)]) ).

cnf(120000,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[119972,112,theory(equality)]) ).

cnf(120001,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[120000,theory(equality)]) ).

cnf(120002,negated_conjecture,
    $false,
    120001,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO187+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpU4d3kz/sel_GEO187+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpU4d3kz/sel_GEO187+3.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpU4d3kz/sel_GEO187+3.p_3 with time limit 74
% -prover status Theorem
% Problem GEO187+3.p solved in phase 2.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO187+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO187+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------