TSTP Solution File: GEO254+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO254+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n024.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16091.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Apr  1 13:39:17 EDT 2016

% Result   : Theorem 184.63s
% Output   : CNFRefutation 184.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  108 (  27 unt;   0 def)
%            Number of atoms       :  307 (   0 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  315 ( 116   ~; 144   |;  47   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  175 (   6 sgn  72   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3] :
      ( before_on_line(X1,X2,X3)
    <=> ( distinct_points(X2,X3)
        & ~ ( left_apart_point(X2,X1)
            | left_apart_point(X2,reverse_line(X1)) )
        & ~ ( left_apart_point(X3,X1)
            | left_apart_point(X3,reverse_line(X1)) )
        & ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',bf_def) ).

fof(5,axiom,
    ! [X1,X4] :
      ( ( unequally_directed_lines(X1,X4)
        & unequally_directed_lines(X1,reverse_line(X4)) )
     => ( left_convergent_lines(X1,X4)
        | left_convergent_lines(X1,reverse_line(X4)) ) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag9) ).

fof(7,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag5) ).

fof(9,axiom,
    ! [X1,X4,X5] :
      ( unequally_directed_lines(X1,X4)
     => ( unequally_directed_lines(X1,X5)
        | unequally_directed_lines(X4,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag6) ).

fof(10,axiom,
    ! [X2] : ~ distinct_points(X2,X2),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag1) ).

fof(11,axiom,
    ! [X2,X3,X6] :
      ( distinct_points(X2,X3)
     => ( distinct_points(X2,X6)
        | distinct_points(X3,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag2) ).

fof(21,axiom,
    ! [X2,X3] : ~ unequally_directed_lines(line_connecting(X2,X3),reverse_line(line_connecting(X3,X2))),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oagco9) ).

fof(22,axiom,
    ! [X1,X4] :
      ~ ( left_convergent_lines(X1,X4)
        | left_convergent_lines(X1,reverse_line(X4)) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag11) ).

fof(23,axiom,
    ! [X2,X1] :
      ~ ( left_apart_point(X2,X1)
        | left_apart_point(X2,reverse_line(X1)) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',oag10) ).

fof(24,conjecture,
    ! [X2,X3,X1] :
      ( ( distinct_points(X2,X3)
        & ~ apart_point_and_line(X2,X1)
        & ~ apart_point_and_line(X3,X1) )
     => ( before_on_line(X1,X2,X3)
        & before_on_line(X1,X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4',con) ).

fof(25,negated_conjecture,
    ~ ! [X2,X3,X1] :
        ( ( distinct_points(X2,X3)
          & ~ apart_point_and_line(X2,X1)
          & ~ apart_point_and_line(X3,X1) )
       => ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X2) ) ),
    inference(assume_negation,[status(cth)],[24]) ).

fof(26,plain,
    ! [X1,X2,X3] :
      ( before_on_line(X1,X2,X3)
    <=> ( distinct_points(X2,X3)
        & ~ ( left_apart_point(X2,X1)
            | left_apart_point(X2,reverse_line(X1)) )
        & ~ ( left_apart_point(X3,X1)
            | left_apart_point(X3,reverse_line(X1)) )
        & ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(28,plain,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(29,plain,
    ! [X2] : ~ distinct_points(X2,X2),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(33,plain,
    ! [X2,X3] : ~ unequally_directed_lines(line_connecting(X2,X3),reverse_line(line_connecting(X3,X2))),
    inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).

fof(34,negated_conjecture,
    ~ ! [X2,X3,X1] :
        ( ( distinct_points(X2,X3)
          & ~ apart_point_and_line(X2,X1)
          & ~ apart_point_and_line(X3,X1) )
       => ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).

fof(35,plain,
    ! [X1,X2,X3] :
      ( ( ~ before_on_line(X1,X2,X3)
        | ( distinct_points(X2,X3)
          & ~ left_apart_point(X2,X1)
          & ~ left_apart_point(X2,reverse_line(X1))
          & ~ left_apart_point(X3,X1)
          & ~ left_apart_point(X3,reverse_line(X1))
          & ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ) )
      & ( ~ distinct_points(X2,X3)
        | left_apart_point(X2,X1)
        | left_apart_point(X2,reverse_line(X1))
        | left_apart_point(X3,X1)
        | left_apart_point(X3,reverse_line(X1))
        | unequally_directed_lines(X1,line_connecting(X2,X3))
        | before_on_line(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[26]) ).

fof(36,plain,
    ! [X4,X5,X6] :
      ( ( ~ before_on_line(X4,X5,X6)
        | ( distinct_points(X5,X6)
          & ~ left_apart_point(X5,X4)
          & ~ left_apart_point(X5,reverse_line(X4))
          & ~ left_apart_point(X6,X4)
          & ~ left_apart_point(X6,reverse_line(X4))
          & ~ unequally_directed_lines(X4,line_connecting(X5,X6)) ) )
      & ( ~ distinct_points(X5,X6)
        | left_apart_point(X5,X4)
        | left_apart_point(X5,reverse_line(X4))
        | left_apart_point(X6,X4)
        | left_apart_point(X6,reverse_line(X4))
        | unequally_directed_lines(X4,line_connecting(X5,X6))
        | before_on_line(X4,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[35]) ).

fof(37,plain,
    ! [X4,X5,X6] :
      ( ( distinct_points(X5,X6)
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ left_apart_point(X5,X4)
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ left_apart_point(X5,reverse_line(X4))
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ left_apart_point(X6,X4)
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ left_apart_point(X6,reverse_line(X4))
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ unequally_directed_lines(X4,line_connecting(X5,X6))
        | ~ before_on_line(X4,X5,X6) )
      & ( ~ distinct_points(X5,X6)
        | left_apart_point(X5,X4)
        | left_apart_point(X5,reverse_line(X4))
        | left_apart_point(X6,X4)
        | left_apart_point(X6,reverse_line(X4))
        | unequally_directed_lines(X4,line_connecting(X5,X6))
        | before_on_line(X4,X5,X6) ) ),
    inference(distribute,[status(thm)],[36]) ).

cnf(38,plain,
    ( before_on_line(X1,X2,X3)
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | left_apart_point(X3,reverse_line(X1))
    | left_apart_point(X3,X1)
    | left_apart_point(X2,reverse_line(X1))
    | left_apart_point(X2,X1)
    | ~ distinct_points(X2,X3) ),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(39,plain,
    ( ~ before_on_line(X1,X2,X3)
    | ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(53,plain,
    ! [X1,X4] :
      ( ~ unequally_directed_lines(X1,X4)
      | ~ unequally_directed_lines(X1,reverse_line(X4))
      | left_convergent_lines(X1,X4)
      | left_convergent_lines(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(54,plain,
    ! [X5,X6] :
      ( ~ unequally_directed_lines(X5,X6)
      | ~ unequally_directed_lines(X5,reverse_line(X6))
      | left_convergent_lines(X5,X6)
      | left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[53]) ).

cnf(55,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | left_convergent_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[54]) ).

fof(59,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(variable_rename,[status(thm)],[28]) ).

cnf(60,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(68,plain,
    ! [X1,X4,X5] :
      ( ~ unequally_directed_lines(X1,X4)
      | unequally_directed_lines(X1,X5)
      | unequally_directed_lines(X4,X5) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(69,plain,
    ! [X6,X7,X8] :
      ( ~ unequally_directed_lines(X6,X7)
      | unequally_directed_lines(X6,X8)
      | unequally_directed_lines(X7,X8) ),
    inference(variable_rename,[status(thm)],[68]) ).

cnf(70,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[69]) ).

fof(71,plain,
    ! [X3] : ~ distinct_points(X3,X3),
    inference(variable_rename,[status(thm)],[29]) ).

cnf(72,plain,
    ~ distinct_points(X1,X1),
    inference(split_conjunct,[status(thm)],[71]) ).

fof(73,plain,
    ! [X2,X3,X6] :
      ( ~ distinct_points(X2,X3)
      | distinct_points(X2,X6)
      | distinct_points(X3,X6) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(74,plain,
    ! [X7,X8,X9] :
      ( ~ distinct_points(X7,X8)
      | distinct_points(X7,X9)
      | distinct_points(X8,X9) ),
    inference(variable_rename,[status(thm)],[73]) ).

cnf(75,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    inference(split_conjunct,[status(thm)],[74]) ).

fof(109,plain,
    ! [X4,X5] : ~ unequally_directed_lines(line_connecting(X4,X5),reverse_line(line_connecting(X5,X4))),
    inference(variable_rename,[status(thm)],[33]) ).

cnf(110,plain,
    ~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
    inference(split_conjunct,[status(thm)],[109]) ).

fof(111,plain,
    ! [X1,X4] :
      ( ~ left_convergent_lines(X1,X4)
      & ~ left_convergent_lines(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(112,plain,
    ! [X5,X6] :
      ( ~ left_convergent_lines(X5,X6)
      & ~ left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[111]) ).

cnf(114,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[112]) ).

fof(115,plain,
    ! [X2,X1] :
      ( ~ left_apart_point(X2,X1)
      & ~ left_apart_point(X2,reverse_line(X1)) ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(116,plain,
    ! [X3,X4] :
      ( ~ left_apart_point(X3,X4)
      & ~ left_apart_point(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[115]) ).

cnf(118,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[116]) ).

fof(119,negated_conjecture,
    ? [X2,X3,X1] :
      ( distinct_points(X2,X3)
      & ~ apart_point_and_line(X2,X1)
      & ~ apart_point_and_line(X3,X1)
      & ( ~ before_on_line(X1,X2,X3)
        | ~ before_on_line(X1,X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(120,negated_conjecture,
    ? [X4,X5,X6] :
      ( distinct_points(X4,X5)
      & ~ apart_point_and_line(X4,X6)
      & ~ apart_point_and_line(X5,X6)
      & ( ~ before_on_line(X6,X4,X5)
        | ~ before_on_line(X6,X5,X4) ) ),
    inference(variable_rename,[status(thm)],[119]) ).

fof(121,negated_conjecture,
    ( distinct_points(esk1_0,esk2_0)
    & ~ apart_point_and_line(esk1_0,esk3_0)
    & ~ apart_point_and_line(esk2_0,esk3_0)
    & ( ~ before_on_line(esk3_0,esk1_0,esk2_0)
      | ~ before_on_line(esk3_0,esk2_0,esk1_0) ) ),
    inference(skolemize,[status(esa)],[120]) ).

cnf(122,negated_conjecture,
    ( ~ before_on_line(esk3_0,esk2_0,esk1_0)
    | ~ before_on_line(esk3_0,esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(125,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(126,negated_conjecture,
    ( distinct_points(esk2_0,X1)
    | distinct_points(esk1_0,X1) ),
    inference(spm,[status(thm)],[75,125,theory(equality)]) ).

cnf(145,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(sr,[status(thm)],[55,114,theory(equality)]) ).

cnf(146,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(sr,[status(thm)],[145,114,theory(equality)]) ).

cnf(152,plain,
    ( left_apart_point(X2,X1)
    | before_on_line(X1,X2,X3)
    | left_apart_point(X3,reverse_line(X1))
    | left_apart_point(X2,reverse_line(X1))
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | ~ distinct_points(X2,X3) ),
    inference(sr,[status(thm)],[38,118,theory(equality)]) ).

cnf(153,plain,
    ( before_on_line(X1,X2,X3)
    | left_apart_point(X3,reverse_line(X1))
    | left_apart_point(X2,reverse_line(X1))
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | ~ distinct_points(X2,X3) ),
    inference(sr,[status(thm)],[152,118,theory(equality)]) ).

cnf(154,plain,
    ( before_on_line(X1,X2,X3)
    | left_apart_point(X2,reverse_line(X1))
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | ~ distinct_points(X2,X3) ),
    inference(sr,[status(thm)],[153,118,theory(equality)]) ).

cnf(155,plain,
    ( before_on_line(X1,X2,X3)
    | unequally_directed_lines(X1,line_connecting(X2,X3))
    | ~ distinct_points(X2,X3) ),
    inference(sr,[status(thm)],[154,118,theory(equality)]) ).

cnf(156,negated_conjecture,
    ( unequally_directed_lines(X1,line_connecting(esk1_0,esk2_0))
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[155,125,theory(equality)]) ).

cnf(157,negated_conjecture,
    distinct_points(esk2_0,esk1_0),
    inference(spm,[status(thm)],[72,126,theory(equality)]) ).

cnf(163,negated_conjecture,
    ( unequally_directed_lines(X1,line_connecting(esk2_0,esk1_0))
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[155,157,theory(equality)]) ).

cnf(171,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
    | unequally_directed_lines(X2,X1)
    | before_on_line(X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[70,156,theory(equality)]) ).

cnf(292,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | unequally_directed_lines(X2,X1)
    | before_on_line(X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[70,163,theory(equality)]) ).

cnf(554,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
    | before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[60,171,theory(equality)]) ).

cnf(563,negated_conjecture,
    ( unequally_directed_lines(X2,reverse_line(X1))
    | before_on_line(X2,esk1_0,esk2_0)
    | ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[146,171,theory(equality)]) ).

cnf(564,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),reverse_line(X2))
    | before_on_line(X1,esk1_0,esk2_0)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(spm,[status(thm)],[146,171,theory(equality)]) ).

cnf(943,negated_conjecture,
    ( before_on_line(reverse_line(X1),esk1_0,esk2_0)
    | ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[146,554,theory(equality)]) ).

cnf(957,negated_conjecture,
    ( before_on_line(reverse_line(X1),esk1_0,esk2_0)
    | unequally_directed_lines(X2,X1)
    | before_on_line(X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[943,171,theory(equality)]) ).

cnf(1004,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[60,292,theory(equality)]) ).

cnf(1006,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(line_connecting(esk1_0,esk2_0)))
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[110,292,theory(equality)]) ).

cnf(1396,negated_conjecture,
    ( before_on_line(X1,esk2_0,esk1_0)
    | ~ unequally_directed_lines(X1,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[146,1006,theory(equality)]) ).

cnf(1432,negated_conjecture,
    ( before_on_line(X1,esk2_0,esk1_0)
    | unequally_directed_lines(line_connecting(esk2_0,esk1_0),line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[1396,292,theory(equality)]) ).

cnf(1669,negated_conjecture,
    ( before_on_line(X1,esk2_0,esk1_0)
    | ~ before_on_line(line_connecting(esk2_0,esk1_0),esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[39,1432,theory(equality)]) ).

cnf(2750,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X3),X3)
    | before_on_line(reverse_line(X3),esk1_0,esk2_0) ),
    inference(ef,[status(thm)],[957,theory(equality)]) ).

cnf(6452,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | before_on_line(X1,esk1_0,esk2_0)
    | before_on_line(X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[563,554,theory(equality)]) ).

cnf(6528,negated_conjecture,
    ( unequally_directed_lines(X3,reverse_line(X3))
    | before_on_line(X3,esk1_0,esk2_0) ),
    inference(ef,[status(thm)],[6452,theory(equality)]) ).

cnf(6579,negated_conjecture,
    before_on_line(line_connecting(X1,X1),esk1_0,esk2_0),
    inference(spm,[status(thm)],[110,6528,theory(equality)]) ).

cnf(6581,negated_conjecture,
    ( unequally_directed_lines(esk3_0,reverse_line(esk3_0))
    | ~ before_on_line(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[122,6528,theory(equality)]) ).

cnf(6639,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),reverse_line(X1))
    | before_on_line(line_connecting(esk2_0,esk1_0),esk1_0,esk2_0)
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[564,1004,theory(equality)]) ).

cnf(7649,negated_conjecture,
    ( unequally_directed_lines(line_connecting(esk1_0,esk2_0),reverse_line(X1))
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[6639,1669]) ).

cnf(7651,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(line_connecting(esk1_0,esk2_0),X2)
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[70,7649,theory(equality)]) ).

cnf(9032,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),line_connecting(esk1_0,esk2_0))
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[60,7651,theory(equality)]) ).

cnf(9657,negated_conjecture,
    ( before_on_line(X1,esk2_0,esk1_0)
    | ~ before_on_line(reverse_line(X1),esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[39,9032,theory(equality)]) ).

cnf(9719,negated_conjecture,
    ( before_on_line(X1,esk2_0,esk1_0)
    | unequally_directed_lines(reverse_line(X1),X1) ),
    inference(spm,[status(thm)],[9657,2750,theory(equality)]) ).

cnf(9766,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(X1),X2)
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[70,9719,theory(equality)]) ).

cnf(10000,negated_conjecture,
    ( unequally_directed_lines(X1,reverse_line(X1))
    | before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[60,9766,theory(equality)]) ).

cnf(10042,negated_conjecture,
    before_on_line(line_connecting(X1,X1),esk2_0,esk1_0),
    inference(spm,[status(thm)],[110,10000,theory(equality)]) ).

cnf(10060,negated_conjecture,
    unequally_directed_lines(esk3_0,reverse_line(esk3_0)),
    inference(spm,[status(thm)],[6581,10000,theory(equality)]) ).

cnf(10082,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk3_0),X1)
    | unequally_directed_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[70,10060,theory(equality)]) ).

cnf(10141,negated_conjecture,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(reverse_line(esk3_0),X2)
    | unequally_directed_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[70,10082,theory(equality)]) ).

cnf(10143,negated_conjecture,
    ( unequally_directed_lines(esk3_0,reverse_line(X1))
    | ~ unequally_directed_lines(reverse_line(esk3_0),X1) ),
    inference(spm,[status(thm)],[146,10082,theory(equality)]) ).

cnf(10433,negated_conjecture,
    ( unequally_directed_lines(esk3_0,reverse_line(X1))
    | unequally_directed_lines(esk3_0,X2)
    | unequally_directed_lines(X2,X1) ),
    inference(spm,[status(thm)],[10143,10141,theory(equality)]) ).

cnf(13273,negated_conjecture,
    ( unequally_directed_lines(esk3_0,X2)
    | unequally_directed_lines(X2,X1)
    | ~ unequally_directed_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[146,10433,theory(equality)]) ).

cnf(13556,negated_conjecture,
    ( unequally_directed_lines(esk3_0,X1)
    | unequally_directed_lines(X1,line_connecting(esk1_0,esk2_0))
    | before_on_line(esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[13273,156,theory(equality)]) ).

cnf(13557,negated_conjecture,
    ( unequally_directed_lines(esk3_0,X1)
    | unequally_directed_lines(X1,line_connecting(esk2_0,esk1_0))
    | before_on_line(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[13273,163,theory(equality)]) ).

cnf(13826,negated_conjecture,
    ( unequally_directed_lines(esk3_0,X1)
    | before_on_line(esk3_0,esk1_0,esk2_0)
    | ~ before_on_line(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[39,13556,theory(equality)]) ).

cnf(14058,negated_conjecture,
    ( unequally_directed_lines(esk3_0,line_connecting(X1,X1))
    | before_on_line(esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[13826,6579,theory(equality)]) ).

cnf(14284,negated_conjecture,
    ( unequally_directed_lines(line_connecting(X1,X1),X2)
    | unequally_directed_lines(esk3_0,X2)
    | before_on_line(esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[70,14058,theory(equality)]) ).

cnf(14536,negated_conjecture,
    ( unequally_directed_lines(esk3_0,X1)
    | before_on_line(esk3_0,esk2_0,esk1_0)
    | ~ before_on_line(X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[39,13557,theory(equality)]) ).

cnf(14638,negated_conjecture,
    ( unequally_directed_lines(esk3_0,line_connecting(X1,X1))
    | before_on_line(esk3_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[14536,10042,theory(equality)]) ).

cnf(15850,negated_conjecture,
    ( unequally_directed_lines(esk3_0,reverse_line(line_connecting(X1,X1)))
    | before_on_line(esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[110,14284,theory(equality)]) ).

cnf(15877,negated_conjecture,
    ( before_on_line(esk3_0,esk1_0,esk2_0)
    | ~ unequally_directed_lines(esk3_0,line_connecting(X1,X1)) ),
    inference(spm,[status(thm)],[146,15850,theory(equality)]) ).

cnf(15887,negated_conjecture,
    before_on_line(esk3_0,esk1_0,esk2_0),
    inference(csr,[status(thm)],[15877,14058]) ).

cnf(15911,negated_conjecture,
    ( $false
    | ~ before_on_line(esk3_0,esk2_0,esk1_0) ),
    inference(rw,[status(thm)],[122,15887,theory(equality)]) ).

cnf(15912,negated_conjecture,
    ~ before_on_line(esk3_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[15911,theory(equality)]) ).

cnf(15942,negated_conjecture,
    unequally_directed_lines(esk3_0,line_connecting(X1,X1)),
    inference(sr,[status(thm)],[14638,15912,theory(equality)]) ).

cnf(16013,negated_conjecture,
    ( unequally_directed_lines(line_connecting(X1,X1),X2)
    | unequally_directed_lines(esk3_0,X2) ),
    inference(spm,[status(thm)],[70,15942,theory(equality)]) ).

cnf(16706,negated_conjecture,
    unequally_directed_lines(esk3_0,reverse_line(line_connecting(X1,X1))),
    inference(spm,[status(thm)],[110,16013,theory(equality)]) ).

cnf(16737,negated_conjecture,
    ~ unequally_directed_lines(esk3_0,line_connecting(X1,X1)),
    inference(spm,[status(thm)],[146,16706,theory(equality)]) ).

cnf(16746,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[16737,15942,theory(equality)]) ).

cnf(16747,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[16746,theory(equality)]) ).

cnf(16748,negated_conjecture,
    $false,
    16747,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.03  % Problem  : GEO254+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.01/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n024.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 16091.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Apr  1 11:23:07 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for [GEO007+0.ax]
% 29.10/29.51  eprover: CPU time limit exceeded, terminating
% 110.18/112.20  eprover: CPU time limit exceeded, terminating
% 110.40/113.38  -running prover on /export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_1 with time limit 29
% 110.40/113.38  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_1']
% 110.40/113.38  -prover status ResourceOut
% 110.40/113.38  -running prover on /export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_2 with time limit 81
% 110.40/113.38  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_2']
% 110.40/113.38  -prover status ResourceOut
% 110.40/113.38  --creating new selector for [GEO007+0.ax]
% 184.43/188.84  eprover: CPU time limit exceeded, terminating
% 184.60/189.44  -running prover on /export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_3 with time limit 74
% 184.60/189.44  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=74', '/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_3']
% 184.60/189.44  -prover status ResourceOut
% 184.60/189.44  --creating new selector for [GEO007+0.ax]
% 184.63/189.94  -running prover on /export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4 with time limit 55
% 184.63/189.94  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=55', '/export/starexec/sandbox/tmp/tmpNYETbY/sel_theBenchmark.p_4']
% 184.63/189.94  -prover status Theorem
% 184.63/189.94  Problem theBenchmark.p solved in phase 3.
% 184.63/189.94  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.63/189.94  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.63/189.94  Solved 1 out of 1.
% 184.63/189.94  # Problem is unsatisfiable (or provable), constructing proof object
% 184.63/189.94  # SZS status Theorem
% 184.63/189.94  # SZS output start CNFRefutation.
% See solution above
% 184.63/189.95  # SZS output end CNFRefutation
%------------------------------------------------------------------------------