TSTP Solution File: GEO268+3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n017.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 04:42:49 EDT 2022

% Result   : Theorem 168.25s 168.44s
% Output   : CNFRefutation 168.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  477 (  65 unt;   0 def)
%            Number of atoms       : 1459 (   0 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives : 1626 ( 644   ~; 847   |;  79   &)
%                                         (  22 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   : 1125 (  72 sgn 275   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X4,X3,X6,X7] :
      ( between_on_line(X4,X3,X6,X7)
    <=> ( ( before_on_line(X4,X3,X6)
          & before_on_line(X4,X6,X7) )
        | ( before_on_line(X4,X7,X6)
          & before_on_line(X4,X6,X3) ) ) ),
    file('<stdin>',a9_defns) ).

fof(c_0_1,axiom,
    ! [X4,X3,X6] :
      ( before_on_line(X4,X3,X6)
    <=> ( distinct_points(X3,X6)
        & incident_point_and_line(X3,X4)
        & incident_point_and_line(X6,X4)
        & equally_directed_lines(X4,line_connecting(X3,X6)) ) ),
    file('<stdin>',ax4_defns) ).

fof(c_0_2,axiom,
    ! [X3,X6,X4,X5] :
      ( ( distinct_points(X3,X6)
        & distinct_lines(X4,X5) )
     => ( left_apart_point(X3,X4)
        | left_apart_point(X6,X4)
        | left_apart_point(X3,X5)
        | left_apart_point(X6,X5)
        | left_apart_point(X3,reverse_line(X4))
        | left_apart_point(X6,reverse_line(X4))
        | left_apart_point(X3,reverse_line(X5))
        | left_apart_point(X6,reverse_line(X5)) ) ),
    file('<stdin>',ax1_uniq_cons) ).

fof(c_0_3,axiom,
    ! [X3,X6] :
      ( distinct_points(X3,X6)
     => equally_directed_lines(line_connecting(X3,X6),reverse_line(line_connecting(X6,X3))) ),
    file('<stdin>',ax9_cons_objs) ).

fof(c_0_4,axiom,
    ! [X4,X5] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( ~ apart_point_and_line(intersection_point(X4,X5),X4)
        & ~ apart_point_and_line(intersection_point(X4,X5),X5) ) ),
    file('<stdin>',ax6_cons_objs) ).

fof(c_0_5,axiom,
    ! [X3,X6,X4] :
      ( divides_points(X4,X3,X6)
    <=> ( ( left_apart_point(X3,X4)
          & right_apart_point(X6,X4) )
        | ( right_apart_point(X3,X4)
          & left_apart_point(X6,X4) ) ) ),
    file('<stdin>',a8_defns) ).

fof(c_0_6,axiom,
    ! [X3,X6,X4] :
      ( ( distinct_points(X3,X6)
        & left_apart_point(X3,X4) )
     => ( left_apart_point(X6,X4)
        | left_convergent_lines(line_connecting(X3,X6),X4) ) ),
    file('<stdin>',ax2_uniq_cons) ).

fof(c_0_7,axiom,
    ! [X4,X5] :
      ( ( line(X4)
        & line(X5)
        & unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => point(intersection_point(X4,X5)) ),
    file('<stdin>',ax2_cons_objs) ).

fof(c_0_8,axiom,
    ! [X4,X5,X8] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( ( unequally_directed_lines(X4,X8)
          & unequally_directed_lines(X4,reverse_line(X8)) )
        | ( unequally_directed_lines(X5,X8)
          & unequally_directed_lines(X5,reverse_line(X8)) ) ) ),
    file('<stdin>',ax7_basics) ).

fof(c_0_9,axiom,
    ! [X4,X5] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( left_convergent_lines(X4,X5)
        | left_convergent_lines(X4,reverse_line(X5)) ) ),
    file('<stdin>',ax9_basics) ).

fof(c_0_10,axiom,
    ! [X3,X6] :
      ( distinct_points(X3,X6)
     => ( ~ apart_point_and_line(X3,line_connecting(X3,X6))
        & ~ apart_point_and_line(X6,line_connecting(X3,X6)) ) ),
    file('<stdin>',ax5_cons_objs) ).

fof(c_0_11,axiom,
    ! [X3,X4,X5] :
      ( ( left_apart_point(X3,X4)
        & unequally_directed_lines(X4,X5) )
     => ( distinct_lines(X4,X5)
        | left_apart_point(X3,reverse_line(X5)) ) ),
    file('<stdin>',ax2_subs) ).

fof(c_0_12,axiom,
    ! [X3,X6] :
      ( ( point(X3)
        & point(X6)
        & distinct_points(X3,X6) )
     => line(line_connecting(X3,X6)) ),
    file('<stdin>',ax1_cons_objs) ).

fof(c_0_13,axiom,
    ! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
    file('<stdin>',ax7_cons_objs) ).

fof(c_0_14,axiom,
    ! [X4,X5] :
      ( convergent_lines(X4,X5)
    <=> ( unequally_directed_lines(X4,X5)
        & unequally_directed_opposite_lines(X4,X5) ) ),
    file('<stdin>',a7_defns) ).

fof(c_0_15,axiom,
    ! [X4,X5,X8] :
      ( left_convergent_lines(X4,X5)
     => ( unequally_directed_lines(X5,X8)
        | left_convergent_lines(X4,X8) ) ),
    file('<stdin>',ax3_subs) ).

fof(c_0_16,axiom,
    ! [X3,X6,X4] :
      ( left_apart_point(X3,X4)
     => ( distinct_points(X3,X6)
        | left_apart_point(X6,X4) ) ),
    file('<stdin>',ax1_subs) ).

fof(c_0_17,axiom,
    ! [X4,X5,X8] :
      ( unequally_directed_lines(X4,X5)
     => ( unequally_directed_lines(X4,X8)
        | unequally_directed_lines(X5,X8) ) ),
    file('<stdin>',ax6_basics) ).

fof(c_0_18,axiom,
    ! [X4,X5,X8] :
      ( distinct_lines(X4,X5)
     => ( distinct_lines(X4,X8)
        | distinct_lines(X5,X8) ) ),
    file('<stdin>',ax4_basics) ).

fof(c_0_19,axiom,
    ! [X3,X6,X7] :
      ( distinct_points(X3,X6)
     => ( distinct_points(X3,X7)
        | distinct_points(X6,X7) ) ),
    file('<stdin>',ax2_basics) ).

fof(c_0_20,axiom,
    ! [X3,X4] :
      ( apart_point_and_line(X3,X4)
    <=> ( left_apart_point(X3,X4)
        | right_apart_point(X3,X4) ) ),
    file('<stdin>',a6_defns) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
      ( right_convergent_lines(X1,X2)
    <=> left_convergent_lines(X1,reverse_line(X2)) ),
    file('<stdin>',a3_defns) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( right_apart_point(X1,X2)
    <=> left_apart_point(X1,reverse_line(X2)) ),
    file('<stdin>',a2_defns) ).

fof(c_0_23,axiom,
    ! [X1,X2] :
      ( unequally_directed_opposite_lines(X1,X2)
    <=> unequally_directed_lines(X1,reverse_line(X2)) ),
    file('<stdin>',a1_defns) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ( equally_directed_opposite_lines(X1,X2)
    <=> ~ unequally_directed_opposite_lines(X1,X2) ),
    file('<stdin>',a5_defns) ).

fof(c_0_25,axiom,
    ! [X1,X2] :
      ( equally_directed_lines(X1,X2)
    <=> ~ unequally_directed_lines(X1,X2) ),
    file('<stdin>',a4_defns) ).

fof(c_0_26,axiom,
    ! [X4,X3] :
      ( ( point(X3)
        & line(X4) )
     => line(parallel_through_point(X4,X3)) ),
    file('<stdin>',ax3_cons_objs) ).

fof(c_0_27,axiom,
    ! [X3,X4] : equally_directed_lines(parallel_through_point(X4,X3),X4),
    file('<stdin>',ax10_cons_objs) ).

fof(c_0_28,axiom,
    ! [X4,X5] :
      ( unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,reverse_line(X5)) ),
    file('<stdin>',ax8_basics) ).

fof(c_0_29,axiom,
    ! [X4] : ~ distinct_lines(X4,reverse_line(X4)),
    file('<stdin>',ax8_cons_objs) ).

fof(c_0_30,axiom,
    ! [X4,X5] :
      ~ ( left_convergent_lines(X4,X5)
        | left_convergent_lines(X4,reverse_line(X5)) ),
    file('<stdin>',ax11_basics) ).

fof(c_0_31,axiom,
    ! [X3,X4] :
      ~ ( left_apart_point(X3,X4)
        | left_apart_point(X3,reverse_line(X4)) ),
    file('<stdin>',ax10_basics) ).

fof(c_0_32,axiom,
    ! [X4] : ~ distinct_lines(X4,X4),
    file('<stdin>',ax3_basics) ).

fof(c_0_33,axiom,
    ! [X3] : ~ distinct_points(X3,X3),
    file('<stdin>',ax1_basics) ).

fof(c_0_34,axiom,
    ! [X4] :
      ( line(X4)
     => line(reverse_line(X4)) ),
    file('<stdin>',ax4_cons_objs) ).

fof(c_0_35,axiom,
    ! [X4] : equally_directed_lines(X4,X4),
    file('<stdin>',ax5_basics) ).

fof(c_0_36,axiom,
    ! [X4,X3,X6,X7] :
      ( between_on_line(X4,X3,X6,X7)
    <=> ( ( before_on_line(X4,X3,X6)
          & before_on_line(X4,X6,X7) )
        | ( before_on_line(X4,X7,X6)
          & before_on_line(X4,X6,X3) ) ) ),
    c_0_0 ).

fof(c_0_37,axiom,
    ! [X4,X3,X6] :
      ( before_on_line(X4,X3,X6)
    <=> ( distinct_points(X3,X6)
        & incident_point_and_line(X3,X4)
        & incident_point_and_line(X6,X4)
        & equally_directed_lines(X4,line_connecting(X3,X6)) ) ),
    c_0_1 ).

fof(c_0_38,axiom,
    ! [X3,X6,X4,X5] :
      ( ( distinct_points(X3,X6)
        & distinct_lines(X4,X5) )
     => ( left_apart_point(X3,X4)
        | left_apart_point(X6,X4)
        | left_apart_point(X3,X5)
        | left_apart_point(X6,X5)
        | left_apart_point(X3,reverse_line(X4))
        | left_apart_point(X6,reverse_line(X4))
        | left_apart_point(X3,reverse_line(X5))
        | left_apart_point(X6,reverse_line(X5)) ) ),
    c_0_2 ).

fof(c_0_39,axiom,
    ! [X3,X6] :
      ( distinct_points(X3,X6)
     => equally_directed_lines(line_connecting(X3,X6),reverse_line(line_connecting(X6,X3))) ),
    c_0_3 ).

fof(c_0_40,plain,
    ! [X4,X5] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( ~ apart_point_and_line(intersection_point(X4,X5),X4)
        & ~ apart_point_and_line(intersection_point(X4,X5),X5) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_41,axiom,
    ! [X3,X6,X4] :
      ( divides_points(X4,X3,X6)
    <=> ( ( left_apart_point(X3,X4)
          & right_apart_point(X6,X4) )
        | ( right_apart_point(X3,X4)
          & left_apart_point(X6,X4) ) ) ),
    c_0_5 ).

fof(c_0_42,axiom,
    ! [X3,X6,X4] :
      ( ( distinct_points(X3,X6)
        & left_apart_point(X3,X4) )
     => ( left_apart_point(X6,X4)
        | left_convergent_lines(line_connecting(X3,X6),X4) ) ),
    c_0_6 ).

fof(c_0_43,axiom,
    ! [X4,X5] :
      ( ( line(X4)
        & line(X5)
        & unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => point(intersection_point(X4,X5)) ),
    c_0_7 ).

fof(c_0_44,axiom,
    ! [X4,X5,X8] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( ( unequally_directed_lines(X4,X8)
          & unequally_directed_lines(X4,reverse_line(X8)) )
        | ( unequally_directed_lines(X5,X8)
          & unequally_directed_lines(X5,reverse_line(X8)) ) ) ),
    c_0_8 ).

fof(c_0_45,axiom,
    ! [X4,X5] :
      ( ( unequally_directed_lines(X4,X5)
        & unequally_directed_lines(X4,reverse_line(X5)) )
     => ( left_convergent_lines(X4,X5)
        | left_convergent_lines(X4,reverse_line(X5)) ) ),
    c_0_9 ).

fof(c_0_46,plain,
    ! [X3,X6] :
      ( distinct_points(X3,X6)
     => ( ~ apart_point_and_line(X3,line_connecting(X3,X6))
        & ~ apart_point_and_line(X6,line_connecting(X3,X6)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_47,axiom,
    ! [X3,X4,X5] :
      ( ( left_apart_point(X3,X4)
        & unequally_directed_lines(X4,X5) )
     => ( distinct_lines(X4,X5)
        | left_apart_point(X3,reverse_line(X5)) ) ),
    c_0_11 ).

fof(c_0_48,axiom,
    ! [X3,X6] :
      ( ( point(X3)
        & point(X6)
        & distinct_points(X3,X6) )
     => line(line_connecting(X3,X6)) ),
    c_0_12 ).

fof(c_0_49,plain,
    ! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_50,axiom,
    ! [X4,X5] :
      ( convergent_lines(X4,X5)
    <=> ( unequally_directed_lines(X4,X5)
        & unequally_directed_opposite_lines(X4,X5) ) ),
    c_0_14 ).

fof(c_0_51,axiom,
    ! [X4,X5,X8] :
      ( left_convergent_lines(X4,X5)
     => ( unequally_directed_lines(X5,X8)
        | left_convergent_lines(X4,X8) ) ),
    c_0_15 ).

fof(c_0_52,axiom,
    ! [X3,X6,X4] :
      ( left_apart_point(X3,X4)
     => ( distinct_points(X3,X6)
        | left_apart_point(X6,X4) ) ),
    c_0_16 ).

fof(c_0_53,axiom,
    ! [X4,X5,X8] :
      ( unequally_directed_lines(X4,X5)
     => ( unequally_directed_lines(X4,X8)
        | unequally_directed_lines(X5,X8) ) ),
    c_0_17 ).

fof(c_0_54,axiom,
    ! [X4,X5,X8] :
      ( distinct_lines(X4,X5)
     => ( distinct_lines(X4,X8)
        | distinct_lines(X5,X8) ) ),
    c_0_18 ).

fof(c_0_55,axiom,
    ! [X3,X6,X7] :
      ( distinct_points(X3,X6)
     => ( distinct_points(X3,X7)
        | distinct_points(X6,X7) ) ),
    c_0_19 ).

fof(c_0_56,axiom,
    ! [X3,X4] :
      ( apart_point_and_line(X3,X4)
    <=> ( left_apart_point(X3,X4)
        | right_apart_point(X3,X4) ) ),
    c_0_20 ).

fof(c_0_57,axiom,
    ! [X1,X2] :
      ( right_convergent_lines(X1,X2)
    <=> left_convergent_lines(X1,reverse_line(X2)) ),
    c_0_21 ).

fof(c_0_58,axiom,
    ! [X1,X2] :
      ( right_apart_point(X1,X2)
    <=> left_apart_point(X1,reverse_line(X2)) ),
    c_0_22 ).

fof(c_0_59,axiom,
    ! [X1,X2] :
      ( unequally_directed_opposite_lines(X1,X2)
    <=> unequally_directed_lines(X1,reverse_line(X2)) ),
    c_0_23 ).

fof(c_0_60,plain,
    ! [X1,X2] :
      ( equally_directed_opposite_lines(X1,X2)
    <=> ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_61,plain,
    ! [X1,X2] :
      ( equally_directed_lines(X1,X2)
    <=> ~ unequally_directed_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_62,axiom,
    ! [X4,X3] :
      ( ( point(X3)
        & line(X4) )
     => line(parallel_through_point(X4,X3)) ),
    c_0_26 ).

fof(c_0_63,axiom,
    ! [X3,X4] : equally_directed_lines(parallel_through_point(X4,X3),X4),
    c_0_27 ).

fof(c_0_64,axiom,
    ! [X4,X5] :
      ( unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,reverse_line(X5)) ),
    c_0_28 ).

fof(c_0_65,plain,
    ! [X4] : ~ distinct_lines(X4,reverse_line(X4)),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_66,axiom,
    ! [X4,X5] :
      ~ ( left_convergent_lines(X4,X5)
        | left_convergent_lines(X4,reverse_line(X5)) ),
    c_0_30 ).

fof(c_0_67,axiom,
    ! [X3,X4] :
      ~ ( left_apart_point(X3,X4)
        | left_apart_point(X3,reverse_line(X4)) ),
    c_0_31 ).

fof(c_0_68,plain,
    ! [X4] : ~ distinct_lines(X4,X4),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_69,plain,
    ! [X3] : ~ distinct_points(X3,X3),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_70,axiom,
    ! [X4] :
      ( line(X4)
     => line(reverse_line(X4)) ),
    c_0_34 ).

fof(c_0_71,axiom,
    ! [X4] : equally_directed_lines(X4,X4),
    c_0_35 ).

fof(c_0_72,plain,
    ! [X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ( before_on_line(X8,X11,X10)
        | before_on_line(X8,X9,X10)
        | ~ between_on_line(X8,X9,X10,X11) )
      & ( before_on_line(X8,X10,X9)
        | before_on_line(X8,X9,X10)
        | ~ between_on_line(X8,X9,X10,X11) )
      & ( before_on_line(X8,X11,X10)
        | before_on_line(X8,X10,X11)
        | ~ between_on_line(X8,X9,X10,X11) )
      & ( before_on_line(X8,X10,X9)
        | before_on_line(X8,X10,X11)
        | ~ between_on_line(X8,X9,X10,X11) )
      & ( ~ before_on_line(X12,X13,X14)
        | ~ before_on_line(X12,X14,X15)
        | between_on_line(X12,X13,X14,X15) )
      & ( ~ before_on_line(X12,X15,X14)
        | ~ before_on_line(X12,X14,X13)
        | between_on_line(X12,X13,X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).

fof(c_0_73,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( distinct_points(X8,X9)
        | ~ before_on_line(X7,X8,X9) )
      & ( incident_point_and_line(X8,X7)
        | ~ before_on_line(X7,X8,X9) )
      & ( incident_point_and_line(X9,X7)
        | ~ before_on_line(X7,X8,X9) )
      & ( equally_directed_lines(X7,line_connecting(X8,X9))
        | ~ before_on_line(X7,X8,X9) )
      & ( ~ distinct_points(X11,X12)
        | ~ incident_point_and_line(X11,X10)
        | ~ incident_point_and_line(X12,X10)
        | ~ equally_directed_lines(X10,line_connecting(X11,X12))
        | before_on_line(X10,X11,X12) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).

fof(c_0_74,plain,
    ! [X7,X8,X9,X10] :
      ( ~ distinct_points(X7,X8)
      | ~ distinct_lines(X9,X10)
      | left_apart_point(X7,X9)
      | left_apart_point(X8,X9)
      | left_apart_point(X7,X10)
      | left_apart_point(X8,X10)
      | left_apart_point(X7,reverse_line(X9))
      | left_apart_point(X8,reverse_line(X9))
      | left_apart_point(X7,reverse_line(X10))
      | left_apart_point(X8,reverse_line(X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).

fof(c_0_75,plain,
    ! [X7,X8] :
      ( ~ distinct_points(X7,X8)
      | equally_directed_lines(line_connecting(X7,X8),reverse_line(line_connecting(X8,X7))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).

fof(c_0_76,plain,
    ! [X6,X7] :
      ( ( ~ apart_point_and_line(intersection_point(X6,X7),X6)
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) )
      & ( ~ apart_point_and_line(intersection_point(X6,X7),X7)
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).

fof(c_0_77,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( right_apart_point(X7,X9)
        | left_apart_point(X7,X9)
        | ~ divides_points(X9,X7,X8) )
      & ( left_apart_point(X8,X9)
        | left_apart_point(X7,X9)
        | ~ divides_points(X9,X7,X8) )
      & ( right_apart_point(X7,X9)
        | right_apart_point(X8,X9)
        | ~ divides_points(X9,X7,X8) )
      & ( left_apart_point(X8,X9)
        | right_apart_point(X8,X9)
        | ~ divides_points(X9,X7,X8) )
      & ( ~ left_apart_point(X10,X12)
        | ~ right_apart_point(X11,X12)
        | divides_points(X12,X10,X11) )
      & ( ~ right_apart_point(X10,X12)
        | ~ left_apart_point(X11,X12)
        | divides_points(X12,X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])]) ).

fof(c_0_78,plain,
    ! [X7,X8,X9] :
      ( ~ distinct_points(X7,X8)
      | ~ left_apart_point(X7,X9)
      | left_apart_point(X8,X9)
      | left_convergent_lines(line_connecting(X7,X8),X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).

fof(c_0_79,plain,
    ! [X6,X7] :
      ( ~ line(X6)
      | ~ line(X7)
      | ~ unequally_directed_lines(X6,X7)
      | ~ unequally_directed_lines(X6,reverse_line(X7))
      | point(intersection_point(X6,X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).

fof(c_0_80,plain,
    ! [X9,X10,X11] :
      ( ( unequally_directed_lines(X10,X11)
        | unequally_directed_lines(X9,X11)
        | ~ unequally_directed_lines(X9,X10)
        | ~ unequally_directed_lines(X9,reverse_line(X10)) )
      & ( unequally_directed_lines(X10,reverse_line(X11))
        | unequally_directed_lines(X9,X11)
        | ~ unequally_directed_lines(X9,X10)
        | ~ unequally_directed_lines(X9,reverse_line(X10)) )
      & ( unequally_directed_lines(X10,X11)
        | unequally_directed_lines(X9,reverse_line(X11))
        | ~ unequally_directed_lines(X9,X10)
        | ~ unequally_directed_lines(X9,reverse_line(X10)) )
      & ( unequally_directed_lines(X10,reverse_line(X11))
        | unequally_directed_lines(X9,reverse_line(X11))
        | ~ unequally_directed_lines(X9,X10)
        | ~ unequally_directed_lines(X9,reverse_line(X10)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])]) ).

fof(c_0_81,plain,
    ! [X6,X7] :
      ( ~ unequally_directed_lines(X6,X7)
      | ~ unequally_directed_lines(X6,reverse_line(X7))
      | left_convergent_lines(X6,X7)
      | left_convergent_lines(X6,reverse_line(X7)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).

fof(c_0_82,plain,
    ! [X7,X8] :
      ( ( ~ apart_point_and_line(X7,line_connecting(X7,X8))
        | ~ distinct_points(X7,X8) )
      & ( ~ apart_point_and_line(X8,line_connecting(X7,X8))
        | ~ distinct_points(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

fof(c_0_83,plain,
    ! [X6,X7,X8] :
      ( ~ left_apart_point(X6,X7)
      | ~ unequally_directed_lines(X7,X8)
      | distinct_lines(X7,X8)
      | left_apart_point(X6,reverse_line(X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_84,plain,
    ! [X7,X8] :
      ( ~ point(X7)
      | ~ point(X8)
      | ~ distinct_points(X7,X8)
      | line(line_connecting(X7,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).

fof(c_0_85,plain,
    ! [X5,X6] : ~ apart_point_and_line(X5,parallel_through_point(X6,X5)),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_86,plain,
    ! [X6,X7,X8,X9] :
      ( ( unequally_directed_lines(X6,X7)
        | ~ convergent_lines(X6,X7) )
      & ( unequally_directed_opposite_lines(X6,X7)
        | ~ convergent_lines(X6,X7) )
      & ( ~ unequally_directed_lines(X8,X9)
        | ~ unequally_directed_opposite_lines(X8,X9)
        | convergent_lines(X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])])]) ).

fof(c_0_87,plain,
    ! [X9,X10,X11] :
      ( ~ left_convergent_lines(X9,X10)
      | unequally_directed_lines(X10,X11)
      | left_convergent_lines(X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).

fof(c_0_88,plain,
    ! [X7,X8,X9] :
      ( ~ left_apart_point(X7,X9)
      | distinct_points(X7,X8)
      | left_apart_point(X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).

fof(c_0_89,plain,
    ! [X9,X10,X11] :
      ( ~ unequally_directed_lines(X9,X10)
      | unequally_directed_lines(X9,X11)
      | unequally_directed_lines(X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).

fof(c_0_90,plain,
    ! [X9,X10,X11] :
      ( ~ distinct_lines(X9,X10)
      | distinct_lines(X9,X11)
      | distinct_lines(X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).

fof(c_0_91,plain,
    ! [X8,X9,X10] :
      ( ~ distinct_points(X8,X9)
      | distinct_points(X8,X10)
      | distinct_points(X9,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).

fof(c_0_92,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ apart_point_and_line(X5,X6)
        | left_apart_point(X5,X6)
        | right_apart_point(X5,X6) )
      & ( ~ left_apart_point(X7,X8)
        | apart_point_and_line(X7,X8) )
      & ( ~ right_apart_point(X7,X8)
        | apart_point_and_line(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).

fof(c_0_93,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ right_convergent_lines(X3,X4)
        | left_convergent_lines(X3,reverse_line(X4)) )
      & ( ~ left_convergent_lines(X5,reverse_line(X6))
        | right_convergent_lines(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).

fof(c_0_94,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ right_apart_point(X3,X4)
        | left_apart_point(X3,reverse_line(X4)) )
      & ( ~ left_apart_point(X5,reverse_line(X6))
        | right_apart_point(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).

fof(c_0_95,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ unequally_directed_opposite_lines(X3,X4)
        | unequally_directed_lines(X3,reverse_line(X4)) )
      & ( ~ unequally_directed_lines(X5,reverse_line(X6))
        | unequally_directed_opposite_lines(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).

fof(c_0_96,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ equally_directed_opposite_lines(X3,X4)
        | ~ unequally_directed_opposite_lines(X3,X4) )
      & ( unequally_directed_opposite_lines(X5,X6)
        | equally_directed_opposite_lines(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).

fof(c_0_97,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ equally_directed_lines(X3,X4)
        | ~ unequally_directed_lines(X3,X4) )
      & ( unequally_directed_lines(X5,X6)
        | equally_directed_lines(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).

fof(c_0_98,plain,
    ! [X5,X6] :
      ( ~ point(X6)
      | ~ line(X5)
      | line(parallel_through_point(X5,X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).

fof(c_0_99,plain,
    ! [X5,X6] : equally_directed_lines(parallel_through_point(X6,X5),X6),
    inference(variable_rename,[status(thm)],[c_0_63]) ).

fof(c_0_100,plain,
    ! [X6,X7] :
      ( unequally_directed_lines(X6,X7)
      | unequally_directed_lines(X6,reverse_line(X7)) ),
    inference(variable_rename,[status(thm)],[c_0_64]) ).

fof(c_0_101,plain,
    ! [X5] : ~ distinct_lines(X5,reverse_line(X5)),
    inference(variable_rename,[status(thm)],[c_0_65]) ).

fof(c_0_102,plain,
    ! [X6,X7,X8,X9] :
      ( ~ left_convergent_lines(X6,X7)
      & ~ left_convergent_lines(X8,reverse_line(X9)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).

fof(c_0_103,plain,
    ! [X5,X6,X7,X8] :
      ( ~ left_apart_point(X5,X6)
      & ~ left_apart_point(X7,reverse_line(X8)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).

fof(c_0_104,plain,
    ! [X5] : ~ distinct_lines(X5,X5),
    inference(variable_rename,[status(thm)],[c_0_68]) ).

fof(c_0_105,plain,
    ! [X4] : ~ distinct_points(X4,X4),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_106,plain,
    ! [X5] :
      ( ~ line(X5)
      | line(reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).

fof(c_0_107,plain,
    ! [X5] : equally_directed_lines(X5,X5),
    inference(variable_rename,[status(thm)],[c_0_71]) ).

cnf(c_0_108,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_109,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_110,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_111,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_112,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_113,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_114,plain,
    ( before_on_line(X1,X2,X3)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ incident_point_and_line(X3,X1)
    | ~ incident_point_and_line(X2,X1)
    | ~ distinct_points(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_115,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_116,plain,
    ( equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_117,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | ~ distinct_points(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_118,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_119,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_120,plain,
    ( left_apart_point(X2,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_121,plain,
    ( left_apart_point(X2,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_122,plain,
    ( right_apart_point(X3,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_123,plain,
    ( right_apart_point(X3,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_124,plain,
    ( distinct_points(X2,X3)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_125,plain,
    ( incident_point_and_line(X2,X1)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_126,plain,
    ( incident_point_and_line(X3,X1)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_127,plain,
    ( left_convergent_lines(line_connecting(X1,X2),X3)
    | left_apart_point(X2,X3)
    | ~ left_apart_point(X1,X3)
    | ~ distinct_points(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_128,plain,
    ( divides_points(X1,X2,X3)
    | ~ right_apart_point(X3,X1)
    | ~ left_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_129,plain,
    ( divides_points(X1,X2,X3)
    | ~ left_apart_point(X3,X1)
    | ~ right_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_130,plain,
    ( point(intersection_point(X1,X2))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_131,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_132,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)],[c_0_81]) ).

cnf(c_0_133,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_134,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_135,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_136,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_137,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_138,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | distinct_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X2)
    | ~ left_apart_point(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_139,plain,
    ( line(line_connecting(X1,X2))
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_140,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_141,plain,
    ( convergent_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_142,plain,
    ( left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ left_convergent_lines(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_143,plain,
    ( left_apart_point(X1,X2)
    | distinct_points(X3,X1)
    | ~ left_apart_point(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_144,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_145,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ distinct_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_146,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_147,plain,
    ( right_apart_point(X1,X2)
    | left_apart_point(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_148,plain,
    ( right_convergent_lines(X1,X2)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_149,plain,
    ( right_apart_point(X1,X2)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_150,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_151,plain,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | ~ equally_directed_opposite_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_152,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_153,plain,
    ( line(parallel_through_point(X1,X2))
    | ~ line(X1)
    | ~ point(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_154,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ right_convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_155,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_156,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_157,plain,
    equally_directed_lines(parallel_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_158,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_159,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_160,plain,
    ( apart_point_and_line(X1,X2)
    | ~ left_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_161,plain,
    ( apart_point_and_line(X1,X2)
    | ~ right_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_162,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_163,plain,
    ~ distinct_lines(X1,reverse_line(X1)),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_164,plain,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_165,plain,
    ~ left_apart_point(X1,reverse_line(X2)),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_166,plain,
    ( equally_directed_opposite_lines(X1,X2)
    | unequally_directed_opposite_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_167,plain,
    ( equally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_168,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_169,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_170,plain,
    ~ distinct_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_171,plain,
    ~ distinct_points(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_172,plain,
    ( line(reverse_line(X1))
    | ~ line(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_173,plain,
    equally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_174,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    c_0_108,
    [final] ).

cnf(c_0_175,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    c_0_109,
    [final] ).

cnf(c_0_176,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    c_0_110,
    [final] ).

cnf(c_0_177,plain,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    c_0_111,
    [final] ).

cnf(c_0_178,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    c_0_112,
    [final] ).

cnf(c_0_179,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    c_0_113,
    [final] ).

cnf(c_0_180,plain,
    ( before_on_line(X1,X2,X3)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ incident_point_and_line(X3,X1)
    | ~ incident_point_and_line(X2,X1)
    | ~ distinct_points(X2,X3) ),
    c_0_114,
    [final] ).

cnf(c_0_181,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    c_0_115,
    [final] ).

cnf(c_0_182,plain,
    ( equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ before_on_line(X1,X2,X3) ),
    c_0_116,
    [final] ).

cnf(c_0_183,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | ~ distinct_points(X1,X2) ),
    c_0_117,
    [final] ).

cnf(c_0_184,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    c_0_118,
    [final] ).

cnf(c_0_185,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    c_0_119,
    [final] ).

cnf(c_0_186,plain,
    ( left_apart_point(X2,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    c_0_120,
    [final] ).

cnf(c_0_187,plain,
    ( left_apart_point(X2,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    c_0_121,
    [final] ).

cnf(c_0_188,plain,
    ( right_apart_point(X3,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    c_0_122,
    [final] ).

cnf(c_0_189,plain,
    ( right_apart_point(X3,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    c_0_123,
    [final] ).

cnf(c_0_190,plain,
    ( distinct_points(X2,X3)
    | ~ before_on_line(X1,X2,X3) ),
    c_0_124,
    [final] ).

cnf(c_0_191,plain,
    ( incident_point_and_line(X2,X1)
    | ~ before_on_line(X1,X2,X3) ),
    c_0_125,
    [final] ).

cnf(c_0_192,plain,
    ( incident_point_and_line(X3,X1)
    | ~ before_on_line(X1,X2,X3) ),
    c_0_126,
    [final] ).

cnf(c_0_193,plain,
    ( left_convergent_lines(line_connecting(X1,X2),X3)
    | left_apart_point(X2,X3)
    | ~ left_apart_point(X1,X3)
    | ~ distinct_points(X1,X2) ),
    c_0_127,
    [final] ).

cnf(c_0_194,plain,
    ( divides_points(X1,X2,X3)
    | ~ right_apart_point(X3,X1)
    | ~ left_apart_point(X2,X1) ),
    c_0_128,
    [final] ).

cnf(c_0_195,plain,
    ( divides_points(X1,X2,X3)
    | ~ left_apart_point(X3,X1)
    | ~ right_apart_point(X2,X1) ),
    c_0_129,
    [final] ).

cnf(c_0_196,plain,
    ( point(intersection_point(X1,X2))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    c_0_130,
    [final] ).

cnf(c_0_197,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_131,
    [final] ).

cnf(c_0_198,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) ),
    c_0_132,
    [final] ).

cnf(c_0_199,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_133,
    [final] ).

cnf(c_0_200,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_134,
    [final] ).

cnf(c_0_201,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    c_0_135,
    [final] ).

cnf(c_0_202,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    c_0_136,
    [final] ).

cnf(c_0_203,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_137,
    [final] ).

cnf(c_0_204,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | distinct_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X2)
    | ~ left_apart_point(X1,X3) ),
    c_0_138,
    [final] ).

cnf(c_0_205,plain,
    ( line(line_connecting(X1,X2))
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    c_0_139,
    [final] ).

cnf(c_0_206,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    c_0_140,
    [final] ).

cnf(c_0_207,plain,
    ( convergent_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_141,
    [final] ).

cnf(c_0_208,plain,
    ( left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ left_convergent_lines(X1,X3) ),
    c_0_142,
    [final] ).

cnf(c_0_209,plain,
    ( left_apart_point(X1,X2)
    | distinct_points(X3,X1)
    | ~ left_apart_point(X3,X2) ),
    c_0_143,
    [final] ).

cnf(c_0_210,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    c_0_144,
    [final] ).

cnf(c_0_211,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ distinct_lines(X3,X1) ),
    c_0_145,
    [final] ).

cnf(c_0_212,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    c_0_146,
    [final] ).

cnf(c_0_213,plain,
    ( right_apart_point(X1,X2)
    | left_apart_point(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    c_0_147,
    [final] ).

cnf(c_0_214,plain,
    ( right_convergent_lines(X1,X2)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    c_0_148,
    [final] ).

cnf(c_0_215,plain,
    ( right_apart_point(X1,X2)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    c_0_149,
    [final] ).

cnf(c_0_216,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    c_0_150,
    [final] ).

cnf(c_0_217,plain,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | ~ equally_directed_opposite_lines(X1,X2) ),
    c_0_151,
    [final] ).

cnf(c_0_218,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    c_0_152,
    [final] ).

cnf(c_0_219,plain,
    ( line(parallel_through_point(X1,X2))
    | ~ line(X1)
    | ~ point(X2) ),
    c_0_153,
    [final] ).

cnf(c_0_220,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ right_convergent_lines(X1,X2) ),
    c_0_154,
    [final] ).

cnf(c_0_221,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    c_0_155,
    [final] ).

cnf(c_0_222,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    c_0_156,
    [final] ).

cnf(c_0_223,plain,
    equally_directed_lines(parallel_through_point(X1,X2),X1),
    c_0_157,
    [final] ).

cnf(c_0_224,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    c_0_158,
    [final] ).

cnf(c_0_225,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    c_0_159,
    [final] ).

cnf(c_0_226,plain,
    ( apart_point_and_line(X1,X2)
    | ~ left_apart_point(X1,X2) ),
    c_0_160,
    [final] ).

cnf(c_0_227,plain,
    ( apart_point_and_line(X1,X2)
    | ~ right_apart_point(X1,X2) ),
    c_0_161,
    [final] ).

cnf(c_0_228,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    c_0_162,
    [final] ).

cnf(c_0_229,plain,
    ~ distinct_lines(X1,reverse_line(X1)),
    c_0_163,
    [final] ).

cnf(c_0_230,plain,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    c_0_164,
    [final] ).

cnf(c_0_231,plain,
    ~ left_apart_point(X1,reverse_line(X2)),
    c_0_165,
    [final] ).

cnf(c_0_232,plain,
    ( equally_directed_opposite_lines(X1,X2)
    | unequally_directed_opposite_lines(X1,X2) ),
    c_0_166,
    [final] ).

cnf(c_0_233,plain,
    ( equally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    c_0_167,
    [final] ).

cnf(c_0_234,plain,
    ~ left_convergent_lines(X1,X2),
    c_0_168,
    [final] ).

cnf(c_0_235,plain,
    ~ left_apart_point(X1,X2),
    c_0_169,
    [final] ).

cnf(c_0_236,plain,
    ~ distinct_lines(X1,X1),
    c_0_170,
    [final] ).

cnf(c_0_237,plain,
    ~ distinct_points(X1,X1),
    c_0_171,
    [final] ).

cnf(c_0_238,plain,
    ( line(reverse_line(X1))
    | ~ line(X1) ),
    c_0_172,
    [final] ).

cnf(c_0_239,plain,
    equally_directed_lines(X1,X1),
    c_0_173,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_174_0,axiom,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_1,axiom,
    ( before_on_line(X1,X4,X3)
    | before_on_line(X1,X2,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_2,axiom,
    ( ~ between_on_line(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_175_0,axiom,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_1,axiom,
    ( before_on_line(X1,X3,X2)
    | before_on_line(X1,X2,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_2,axiom,
    ( ~ between_on_line(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_176_0,axiom,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_1,axiom,
    ( before_on_line(X1,X4,X3)
    | before_on_line(X1,X3,X4)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_2,axiom,
    ( ~ between_on_line(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_177_0,axiom,
    ( before_on_line(X1,X3,X4)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_1,axiom,
    ( before_on_line(X1,X3,X2)
    | before_on_line(X1,X3,X4)
    | ~ between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_2,axiom,
    ( ~ between_on_line(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_178_0,axiom,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_1,axiom,
    ( ~ before_on_line(X1,X3,X4)
    | between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_2,axiom,
    ( ~ before_on_line(X1,X2,X3)
    | ~ before_on_line(X1,X3,X4)
    | between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_179_0,axiom,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_1,axiom,
    ( ~ before_on_line(X1,X3,X2)
    | between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_2,axiom,
    ( ~ before_on_line(X1,X4,X3)
    | ~ before_on_line(X1,X3,X2)
    | between_on_line(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_180_0,axiom,
    ( before_on_line(X1,X2,X3)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ incident_point_and_line(X3,X1)
    | ~ incident_point_and_line(X2,X1)
    | ~ distinct_points(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_1,axiom,
    ( ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | before_on_line(X1,X2,X3)
    | ~ incident_point_and_line(X3,X1)
    | ~ incident_point_and_line(X2,X1)
    | ~ distinct_points(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_2,axiom,
    ( ~ incident_point_and_line(X3,X1)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | before_on_line(X1,X2,X3)
    | ~ incident_point_and_line(X2,X1)
    | ~ distinct_points(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_3,axiom,
    ( ~ incident_point_and_line(X2,X1)
    | ~ incident_point_and_line(X3,X1)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | before_on_line(X1,X2,X3)
    | ~ distinct_points(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_4,axiom,
    ( ~ distinct_points(X2,X3)
    | ~ incident_point_and_line(X2,X1)
    | ~ incident_point_and_line(X3,X1)
    | ~ equally_directed_lines(X1,line_connecting(X2,X3))
    | before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_181_0,axiom,
    ( left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_1,axiom,
    ( left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_2,axiom,
    ( left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_3,axiom,
    ( left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X1,X2)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_4,axiom,
    ( left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_5,axiom,
    ( left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_6,axiom,
    ( left_apart_point(X1,X4)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X3,X4)
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_7,axiom,
    ( left_apart_point(X3,X4)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | ~ distinct_lines(X4,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_8,axiom,
    ( ~ distinct_lines(X4,X2)
    | left_apart_point(X3,X4)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2))
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_9,axiom,
    ( ~ distinct_points(X3,X1)
    | ~ distinct_lines(X4,X2)
    | left_apart_point(X3,X4)
    | left_apart_point(X1,X4)
    | left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | left_apart_point(X3,reverse_line(X4))
    | left_apart_point(X1,reverse_line(X4))
    | left_apart_point(X3,reverse_line(X2))
    | left_apart_point(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_182_0,axiom,
    ( equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_1,axiom,
    ( ~ before_on_line(X1,X2,X3)
    | equally_directed_lines(X1,line_connecting(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_183_0,axiom,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_1,axiom,
    ( ~ distinct_points(X1,X2)
    | equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_184_0,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_1,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_2,axiom,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X1)
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_0,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_1,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_2,axiom,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_0,axiom,
    ( left_apart_point(X2,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_1,axiom,
    ( right_apart_point(X2,X1)
    | left_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_2,axiom,
    ( ~ divides_points(X1,X2,X3)
    | right_apart_point(X2,X1)
    | left_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_187_0,axiom,
    ( left_apart_point(X2,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_1,axiom,
    ( left_apart_point(X3,X1)
    | left_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_2,axiom,
    ( ~ divides_points(X1,X2,X3)
    | left_apart_point(X3,X1)
    | left_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_0,axiom,
    ( right_apart_point(X3,X1)
    | right_apart_point(X2,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_1,axiom,
    ( right_apart_point(X2,X1)
    | right_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_2,axiom,
    ( ~ divides_points(X1,X2,X3)
    | right_apart_point(X2,X1)
    | right_apart_point(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_0,axiom,
    ( right_apart_point(X3,X1)
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_1,axiom,
    ( left_apart_point(X3,X1)
    | right_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_2,axiom,
    ( ~ divides_points(X1,X2,X3)
    | left_apart_point(X3,X1)
    | right_apart_point(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_0,axiom,
    ( distinct_points(X2,X3)
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_1,axiom,
    ( ~ before_on_line(X1,X2,X3)
    | distinct_points(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_0,axiom,
    ( incident_point_and_line(X2,X1)
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_1,axiom,
    ( ~ before_on_line(X1,X2,X3)
    | incident_point_and_line(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_0,axiom,
    ( incident_point_and_line(X3,X1)
    | ~ before_on_line(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_1,axiom,
    ( ~ before_on_line(X1,X2,X3)
    | incident_point_and_line(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_193_0,axiom,
    ( left_convergent_lines(line_connecting(X1,X2),X3)
    | left_apart_point(X2,X3)
    | ~ left_apart_point(X1,X3)
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_1,axiom,
    ( left_apart_point(X2,X3)
    | left_convergent_lines(line_connecting(X1,X2),X3)
    | ~ left_apart_point(X1,X3)
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_2,axiom,
    ( ~ left_apart_point(X1,X3)
    | left_apart_point(X2,X3)
    | left_convergent_lines(line_connecting(X1,X2),X3)
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_3,axiom,
    ( ~ distinct_points(X1,X2)
    | ~ left_apart_point(X1,X3)
    | left_apart_point(X2,X3)
    | left_convergent_lines(line_connecting(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_0,axiom,
    ( divides_points(X1,X2,X3)
    | ~ right_apart_point(X3,X1)
    | ~ left_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_1,axiom,
    ( ~ right_apart_point(X3,X1)
    | divides_points(X1,X2,X3)
    | ~ left_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_2,axiom,
    ( ~ left_apart_point(X2,X1)
    | ~ right_apart_point(X3,X1)
    | divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_195_0,axiom,
    ( divides_points(X1,X2,X3)
    | ~ left_apart_point(X3,X1)
    | ~ right_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_1,axiom,
    ( ~ left_apart_point(X3,X1)
    | divides_points(X1,X2,X3)
    | ~ right_apart_point(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_2,axiom,
    ( ~ right_apart_point(X2,X1)
    | ~ left_apart_point(X3,X1)
    | divides_points(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_0,axiom,
    ( point(intersection_point(X1,X2))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_1,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | point(intersection_point(X1,X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_2,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | point(intersection_point(X1,X2))
    | ~ line(X2)
    | ~ line(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_3,axiom,
    ( ~ line(X2)
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | point(intersection_point(X1,X2))
    | ~ line(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_4,axiom,
    ( ~ line(X1)
    | ~ line(X2)
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | point(intersection_point(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_197_0,axiom,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_1,axiom,
    ( unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_2,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,reverse_line(X3))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_3,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,reverse_line(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_198_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_1,axiom,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_2,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_3,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_199_0,axiom,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_1,axiom,
    ( unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_2,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,X3)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_3,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,reverse_line(X3))
    | unequally_directed_lines(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_200_0,axiom,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_1,axiom,
    ( unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_2,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,reverse_line(X3))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_3,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,reverse_line(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_201_0,axiom,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_1,axiom,
    ( ~ apart_point_and_line(X1,line_connecting(X1,X2))
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_202_0,axiom,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_1,axiom,
    ( ~ apart_point_and_line(X2,line_connecting(X1,X2))
    | ~ distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_203_0,axiom,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_1,axiom,
    ( unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_2,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,X3)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_3,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_204_0,axiom,
    ( left_apart_point(X1,reverse_line(X2))
    | distinct_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X2)
    | ~ left_apart_point(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_1,axiom,
    ( distinct_lines(X3,X2)
    | left_apart_point(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X3,X2)
    | ~ left_apart_point(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_2,axiom,
    ( ~ unequally_directed_lines(X3,X2)
    | distinct_lines(X3,X2)
    | left_apart_point(X1,reverse_line(X2))
    | ~ left_apart_point(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_3,axiom,
    ( ~ left_apart_point(X1,X3)
    | ~ unequally_directed_lines(X3,X2)
    | distinct_lines(X3,X2)
    | left_apart_point(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_205_0,axiom,
    ( line(line_connecting(X1,X2))
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_1,axiom,
    ( ~ distinct_points(X1,X2)
    | line(line_connecting(X1,X2))
    | ~ point(X2)
    | ~ point(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_2,axiom,
    ( ~ point(X2)
    | ~ distinct_points(X1,X2)
    | line(line_connecting(X1,X2))
    | ~ point(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_3,axiom,
    ( ~ point(X1)
    | ~ point(X2)
    | ~ distinct_points(X1,X2)
    | line(line_connecting(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_207_0,axiom,
    ( convergent_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_1,axiom,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | convergent_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_2,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_208_0,axiom,
    ( left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ left_convergent_lines(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_1,axiom,
    ( unequally_directed_lines(X3,X2)
    | left_convergent_lines(X1,X2)
    | ~ left_convergent_lines(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_2,axiom,
    ( ~ left_convergent_lines(X1,X3)
    | unequally_directed_lines(X3,X2)
    | left_convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_209_0,axiom,
    ( left_apart_point(X1,X2)
    | distinct_points(X3,X1)
    | ~ left_apart_point(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_1,axiom,
    ( distinct_points(X3,X1)
    | left_apart_point(X1,X2)
    | ~ left_apart_point(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_2,axiom,
    ( ~ left_apart_point(X3,X2)
    | distinct_points(X3,X1)
    | left_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_210_0,axiom,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_1,axiom,
    ( unequally_directed_lines(X3,X2)
    | unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_2,axiom,
    ( ~ unequally_directed_lines(X3,X1)
    | unequally_directed_lines(X3,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_211_0,axiom,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ distinct_lines(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_1,axiom,
    ( distinct_lines(X3,X2)
    | distinct_lines(X1,X2)
    | ~ distinct_lines(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_2,axiom,
    ( ~ distinct_lines(X3,X1)
    | distinct_lines(X3,X2)
    | distinct_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_212_0,axiom,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_1,axiom,
    ( distinct_points(X3,X2)
    | distinct_points(X1,X2)
    | ~ distinct_points(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_2,axiom,
    ( ~ distinct_points(X3,X1)
    | distinct_points(X3,X2)
    | distinct_points(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_213_0,axiom,
    ( right_apart_point(X1,X2)
    | left_apart_point(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_1,axiom,
    ( left_apart_point(X1,X2)
    | right_apart_point(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_2,axiom,
    ( ~ apart_point_and_line(X1,X2)
    | left_apart_point(X1,X2)
    | right_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_214_0,axiom,
    ( right_convergent_lines(X1,X2)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_1,axiom,
    ( ~ left_convergent_lines(X1,reverse_line(X2))
    | right_convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_215_0,axiom,
    ( right_apart_point(X1,X2)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_1,axiom,
    ( ~ left_apart_point(X1,reverse_line(X2))
    | right_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_216_0,axiom,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_1,axiom,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_217_0,axiom,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | ~ equally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_217_1,axiom,
    ( ~ equally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_218_0,axiom,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_1,axiom,
    ( ~ equally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_219_0,axiom,
    ( line(parallel_through_point(X1,X2))
    | ~ line(X1)
    | ~ point(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_1,axiom,
    ( ~ line(X1)
    | line(parallel_through_point(X1,X2))
    | ~ point(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_2,axiom,
    ( ~ point(X2)
    | ~ line(X1)
    | line(parallel_through_point(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_220_0,axiom,
    ( left_convergent_lines(X1,reverse_line(X2))
    | ~ right_convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_220_1,axiom,
    ( ~ right_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_221_0,axiom,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_221_1,axiom,
    ( ~ right_apart_point(X1,X2)
    | left_apart_point(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_222_0,axiom,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_222_1,axiom,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_224_0,axiom,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_224_1,axiom,
    ( ~ convergent_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_225_0,axiom,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_1,axiom,
    ( ~ convergent_lines(X1,X2)
    | unequally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_226_0,axiom,
    ( apart_point_and_line(X1,X2)
    | ~ left_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_1,axiom,
    ( ~ left_apart_point(X1,X2)
    | apart_point_and_line(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_227_0,axiom,
    ( apart_point_and_line(X1,X2)
    | ~ right_apart_point(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_1,axiom,
    ( ~ right_apart_point(X1,X2)
    | apart_point_and_line(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_228_0,axiom,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_1,axiom,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_232_0,axiom,
    ( equally_directed_opposite_lines(X1,X2)
    | unequally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_232_1,axiom,
    ( unequally_directed_opposite_lines(X1,X2)
    | equally_directed_opposite_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_233_0,axiom,
    ( equally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_233_1,axiom,
    ( unequally_directed_lines(X1,X2)
    | equally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_238_0,axiom,
    ( line(reverse_line(X1))
    | ~ line(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_238_1,axiom,
    ( ~ line(X1)
    | line(reverse_line(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_206_0,axiom,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_229_0,axiom,
    ~ distinct_lines(X1,reverse_line(X1)),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

cnf(c_0_230_0,axiom,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_231_0,axiom,
    ~ left_apart_point(X1,reverse_line(X2)),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_234_0,axiom,
    ~ left_convergent_lines(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_235_0,axiom,
    ~ left_apart_point(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_236_0,axiom,
    ~ distinct_lines(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_237_0,axiom,
    ~ distinct_points(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_223_0,axiom,
    equally_directed_lines(parallel_through_point(X1,X2),X1),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_239_0,axiom,
    equally_directed_lines(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2] :
      ( unequally_directed_lines(X1,X2)
    <=> unequally_directed_opposite_lines(X1,reverse_line(X2)) ),
    file('<stdin>',con) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2] :
        ( unequally_directed_lines(X1,X2)
      <=> unequally_directed_opposite_lines(X1,reverse_line(X2)) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( ( ~ unequally_directed_lines(esk1_0,esk2_0)
      | ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) )
    & ( unequally_directed_lines(esk1_0,esk2_0)
      | unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
    | ~ unequally_directed_lines(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
    | unequally_directed_lines(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
    | ~ unequally_directed_lines(esk1_0,esk2_0) ),
    c_0_3,
    [final] ).

cnf(c_0_6_007,negated_conjecture,
    ( unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
    | unequally_directed_lines(esk1_0,esk2_0) ),
    c_0_4,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_5,plain,
    ~ left_convergent_lines(X0,X1),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_234_0) ).

cnf(c_242,plain,
    ~ left_convergent_lines(X0,X1),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_890185,plain,
    ~ left_convergent_lines(sk2_esk2_0,reverse_line(X0)),
    inference(instantiation,[status(thm)],[c_242]) ).

cnf(c_890528,plain,
    ~ left_convergent_lines(sk2_esk2_0,reverse_line(reverse_line(X0))),
    inference(instantiation,[status(thm)],[c_890185]) ).

cnf(c_890529,plain,
    ~ left_convergent_lines(sk2_esk2_0,reverse_line(reverse_line(sk2_esk1_0))),
    inference(instantiation,[status(thm)],[c_890528]) ).

cnf(c_199886,plain,
    ~ left_convergent_lines(X0,reverse_line(reverse_line(X1))),
    inference(instantiation,[status(thm)],[c_242]) ).

cnf(c_890512,plain,
    ~ left_convergent_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0))),
    inference(instantiation,[status(thm)],[c_199886]) ).

cnf(c_90,plain,
    ( left_convergent_lines(X0,reverse_line(X1))
    | left_convergent_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_198_3) ).

cnf(c_327,plain,
    ( left_convergent_lines(X0,reverse_line(X1))
    | left_convergent_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,X1) ),
    inference(copy,[status(esa)],[c_90]) ).

cnf(c_199560,plain,
    ( left_convergent_lines(X0,reverse_line(reverse_line(X1)))
    | left_convergent_lines(X0,reverse_line(X1))
    | ~ unequally_directed_lines(X0,reverse_line(reverse_line(X1)))
    | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(instantiation,[status(thm)],[c_327]) ).

cnf(c_890274,plain,
    ( left_convergent_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0)))
    | left_convergent_lines(sk2_esk1_0,reverse_line(sk2_esk2_0))
    | ~ unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0)))
    | ~ unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    inference(instantiation,[status(thm)],[c_199560]) ).

cnf(c_890189,plain,
    ~ left_convergent_lines(sk2_esk2_0,reverse_line(sk2_esk1_0)),
    inference(instantiation,[status(thm)],[c_890185]) ).

cnf(c_54,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X2,X1)
    | ~ unequally_directed_lines(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_210_2) ).

cnf(c_291,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X2,X1)
    | ~ unequally_directed_lines(X2,X0) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_199651,plain,
    ( unequally_directed_lines(sk2_esk2_0,X0)
    | ~ unequally_directed_lines(sk2_esk2_0,X1)
    | unequally_directed_lines(X1,X0) ),
    inference(instantiation,[status(thm)],[c_291]) ).

cnf(c_199896,plain,
    ( unequally_directed_lines(sk2_esk2_0,sk2_esk2_0)
    | ~ unequally_directed_lines(sk2_esk2_0,X0)
    | unequally_directed_lines(X0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_199651]) ).

cnf(c_199899,plain,
    ( unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | ~ unequally_directed_lines(sk2_esk2_0,sk2_esk1_0)
    | unequally_directed_lines(sk2_esk2_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_199896]) ).

cnf(c_199890,plain,
    ~ left_convergent_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk1_0))),
    inference(instantiation,[status(thm)],[c_199886]) ).

cnf(c_86,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X2,reverse_line(X1))
    | ~ unequally_directed_lines(X0,reverse_line(X2))
    | ~ unequally_directed_lines(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_199_3) ).

cnf(c_323,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X2,reverse_line(X1))
    | ~ unequally_directed_lines(X0,reverse_line(X2))
    | ~ unequally_directed_lines(X0,X2) ),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_199840,plain,
    ( unequally_directed_lines(sk2_esk2_0,reverse_line(X0))
    | ~ unequally_directed_lines(X1,reverse_line(sk2_esk2_0))
    | ~ unequally_directed_lines(X1,sk2_esk2_0)
    | unequally_directed_lines(X1,X0) ),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_199841,plain,
    ( ~ unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk2_0))
    | unequally_directed_lines(sk2_esk1_0,sk2_esk1_0)
    | ~ unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | unequally_directed_lines(sk2_esk2_0,reverse_line(sk2_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_199840]) ).

cnf(c_17,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_228_0) ).

cnf(c_254,plain,
    ( unequally_directed_lines(X0,X1)
    | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(copy,[status(esa)],[c_17]) ).

cnf(c_199831,plain,
    ( unequally_directed_lines(sk2_esk2_0,reverse_line(X0))
    | unequally_directed_lines(sk2_esk2_0,X0) ),
    inference(instantiation,[status(thm)],[c_254]) ).

cnf(c_199833,plain,
    ( unequally_directed_lines(sk2_esk2_0,reverse_line(sk2_esk1_0))
    | unequally_directed_lines(sk2_esk2_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_199831]) ).

cnf(c_0,plain,
    equally_directed_lines(X0,X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_239_0) ).

cnf(c_237,plain,
    equally_directed_lines(X0,X0),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_199774,plain,
    equally_directed_lines(sk2_esk2_0,sk2_esk2_0),
    inference(instantiation,[status(thm)],[c_237]) ).

cnf(c_36,plain,
    ( ~ equally_directed_lines(X0,X1)
    | ~ unequally_directed_lines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_218_0) ).

cnf(c_273,plain,
    ( ~ equally_directed_lines(X0,X1)
    | ~ unequally_directed_lines(X0,X1) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_199644,plain,
    ( ~ equally_directed_lines(sk2_esk2_0,X0)
    | ~ unequally_directed_lines(sk2_esk2_0,X0) ),
    inference(instantiation,[status(thm)],[c_273]) ).

cnf(c_199773,plain,
    ( ~ equally_directed_lines(sk2_esk2_0,sk2_esk2_0)
    | ~ unequally_directed_lines(sk2_esk2_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_199644]) ).

cnf(c_199763,plain,
    ~ left_convergent_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)),
    inference(instantiation,[status(thm)],[c_242]) ).

cnf(c_199736,plain,
    ( left_convergent_lines(sk2_esk2_0,reverse_line(reverse_line(X0)))
    | left_convergent_lines(sk2_esk2_0,reverse_line(X0))
    | ~ unequally_directed_lines(sk2_esk2_0,reverse_line(reverse_line(X0)))
    | ~ unequally_directed_lines(sk2_esk2_0,reverse_line(X0)) ),
    inference(instantiation,[status(thm)],[c_199560]) ).

cnf(c_199737,plain,
    ( left_convergent_lines(sk2_esk2_0,reverse_line(reverse_line(sk2_esk1_0)))
    | left_convergent_lines(sk2_esk2_0,reverse_line(sk2_esk1_0))
    | ~ unequally_directed_lines(sk2_esk2_0,reverse_line(reverse_line(sk2_esk1_0)))
    | ~ unequally_directed_lines(sk2_esk2_0,reverse_line(sk2_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_199736]) ).

cnf(c_199464,plain,
    ( ~ unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | unequally_directed_lines(sk2_esk1_0,X0)
    | unequally_directed_lines(sk2_esk2_0,X0) ),
    inference(instantiation,[status(thm)],[c_291]) ).

cnf(c_199724,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(X0)))
    | ~ unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | unequally_directed_lines(sk2_esk2_0,reverse_line(reverse_line(X0))) ),
    inference(instantiation,[status(thm)],[c_199464]) ).

cnf(c_199726,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk1_0)))
    | ~ unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | unequally_directed_lines(sk2_esk2_0,reverse_line(reverse_line(sk2_esk1_0))) ),
    inference(instantiation,[status(thm)],[c_199724]) ).

cnf(c_199612,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk2_0))
    | unequally_directed_lines(sk2_esk1_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_254]) ).

cnf(c_27,plain,
    ( ~ unequally_directed_opposite_lines(X0,X1)
    | unequally_directed_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_222_0) ).

cnf(c_264,plain,
    ( ~ unequally_directed_opposite_lines(X0,X1)
    | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_199587,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0)))
    | ~ unequally_directed_opposite_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    inference(instantiation,[status(thm)],[c_264]) ).

cnf(c_199589,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0)))
    | unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    inference(instantiation,[status(thm)],[c_254]) ).

cnf(c_199561,plain,
    ( left_convergent_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk1_0)))
    | left_convergent_lines(sk2_esk1_0,reverse_line(sk2_esk1_0))
    | ~ unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk1_0)))
    | ~ unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_199560]) ).

cnf(c_39,plain,
    ( unequally_directed_opposite_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_216_1) ).

cnf(c_276,plain,
    ( unequally_directed_opposite_lines(X0,X1)
    | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(copy,[status(esa)],[c_39]) ).

cnf(c_199460,plain,
    ( ~ unequally_directed_lines(sk2_esk1_0,reverse_line(reverse_line(sk2_esk2_0)))
    | unequally_directed_opposite_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    inference(instantiation,[status(thm)],[c_276]) ).

cnf(c_222,plain,
    equally_directed_lines(sk2_esk1_0,sk2_esk1_0),
    inference(instantiation,[status(thm)],[c_0]) ).

cnf(c_7,plain,
    ~ left_convergent_lines(X0,reverse_line(X1)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_230_0) ).

cnf(c_215,plain,
    ~ left_convergent_lines(sk2_esk1_0,reverse_line(sk2_esk1_0)),
    inference(instantiation,[status(thm)],[c_7]) ).

cnf(c_209,plain,
    ( unequally_directed_lines(sk2_esk1_0,reverse_line(sk2_esk1_0))
    | unequally_directed_lines(sk2_esk1_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_17]) ).

cnf(c_200,plain,
    ( ~ equally_directed_lines(sk2_esk1_0,sk2_esk1_0)
    | ~ unequally_directed_lines(sk2_esk1_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_36]) ).

cnf(c_174,negated_conjecture,
    ( ~ unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | ~ unequally_directed_opposite_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_5) ).

cnf(c_175,negated_conjecture,
    ( unequally_directed_lines(sk2_esk1_0,sk2_esk2_0)
    | unequally_directed_opposite_lines(sk2_esk1_0,reverse_line(sk2_esk2_0)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p',c_0_6) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_890529,c_890512,c_890274,c_890189,c_199899,c_199890,c_199841,c_199833,c_199774,c_199773,c_199763,c_199737,c_199726,c_199612,c_199587,c_199589,c_199561,c_199460,c_222,c_215,c_209,c_200,c_174,c_175]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n017.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 11:42:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.19/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40  % FOF problem with conjecture
% 0.19/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_48180e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_570685 | grep -v "SZS"
% 0.19/0.42  
% 0.19/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------  iProver source info 
% 0.19/0.42  
% 0.19/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42  % git: non_committed_changes: true
% 0.19/0.42  % git: last_make_outside_of_git: true
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------ Input Options
% 0.19/0.42  
% 0.19/0.42  % --out_options                         all
% 0.19/0.42  % --tptp_safe_out                       true
% 0.19/0.42  % --problem_path                        ""
% 0.19/0.42  % --include_path                        ""
% 0.19/0.42  % --clausifier                          .//eprover
% 0.19/0.42  % --clausifier_options                  --tstp-format  
% 0.19/0.42  % --stdin                               false
% 0.19/0.42  % --dbg_backtrace                       false
% 0.19/0.42  % --dbg_dump_prop_clauses               false
% 0.19/0.42  % --dbg_dump_prop_clauses_file          -
% 0.19/0.42  % --dbg_out_stat                        false
% 0.19/0.42  
% 0.19/0.42  % ------ General Options
% 0.19/0.42  
% 0.19/0.42  % --fof                                 false
% 0.19/0.42  % --time_out_real                       150.
% 0.19/0.42  % --time_out_prep_mult                  0.2
% 0.19/0.42  % --time_out_virtual                    -1.
% 0.19/0.42  % --schedule                            none
% 0.19/0.42  % --ground_splitting                    input
% 0.19/0.42  % --splitting_nvd                       16
% 0.19/0.42  % --non_eq_to_eq                        false
% 0.19/0.42  % --prep_gs_sim                         true
% 0.19/0.42  % --prep_unflatten                      false
% 0.19/0.42  % --prep_res_sim                        true
% 0.19/0.42  % --prep_upred                          true
% 0.19/0.42  % --res_sim_input                       true
% 0.19/0.42  % --clause_weak_htbl                    true
% 0.19/0.42  % --gc_record_bc_elim                   false
% 0.19/0.42  % --symbol_type_check                   false
% 0.19/0.42  % --clausify_out                        false
% 0.19/0.42  % --large_theory_mode                   false
% 0.19/0.42  % --prep_sem_filter                     none
% 0.19/0.42  % --prep_sem_filter_out                 false
% 0.19/0.42  % --preprocessed_out                    false
% 0.19/0.42  % --sub_typing                          false
% 0.19/0.42  % --brand_transform                     false
% 0.19/0.42  % --pure_diseq_elim                     true
% 0.19/0.42  % --min_unsat_core                      false
% 0.19/0.42  % --pred_elim                           true
% 0.19/0.42  % --add_important_lit                   false
% 0.19/0.42  % --soft_assumptions                    false
% 0.19/0.42  % --reset_solvers                       false
% 0.19/0.42  % --bc_imp_inh                          []
% 0.19/0.42  % --conj_cone_tolerance                 1.5
% 0.19/0.42  % --prolific_symb_bound                 500
% 0.19/0.42  % --lt_threshold                        2000
% 0.19/0.42  
% 0.19/0.42  % ------ SAT Options
% 0.19/0.42  
% 0.19/0.42  % --sat_mode                            false
% 0.19/0.42  % --sat_fm_restart_options              ""
% 0.19/0.42  % --sat_gr_def                          false
% 0.19/0.42  % --sat_epr_types                       true
% 0.19/0.42  % --sat_non_cyclic_types                false
% 0.19/0.42  % --sat_finite_models                   false
% 0.19/0.42  % --sat_fm_lemmas                       false
% 0.19/0.42  % --sat_fm_prep                         false
% 0.19/0.42  % --sat_fm_uc_incr                      true
% 0.19/0.42  % --sat_out_model                       small
% 0.19/0.42  % --sat_out_clauses                     false
% 0.19/0.42  
% 0.19/0.42  % ------ QBF Options
% 0.19/0.42  
% 0.19/0.42  % --qbf_mode                            false
% 0.19/0.42  % --qbf_elim_univ                       true
% 0.19/0.42  % --qbf_sk_in                           true
% 0.19/0.42  % --qbf_pred_elim                       true
% 0.19/0.42  % --qbf_split                           32
% 0.19/0.42  
% 0.19/0.42  % ------ BMC1 Options
% 0.19/0.43  
% 0.19/0.43  % --bmc1_incremental                    false
% 0.19/0.43  % --bmc1_axioms                         reachable_all
% 0.19/0.43  % --bmc1_min_bound                      0
% 0.19/0.43  % --bmc1_max_bound                      -1
% 0.19/0.43  % --bmc1_max_bound_default              -1
% 0.19/0.43  % --bmc1_symbol_reachability            true
% 0.19/0.43  % --bmc1_property_lemmas                false
% 0.19/0.43  % --bmc1_k_induction                    false
% 0.19/0.43  % --bmc1_non_equiv_states               false
% 0.19/0.43  % --bmc1_deadlock                       false
% 0.19/0.43  % --bmc1_ucm                            false
% 0.19/0.43  % --bmc1_add_unsat_core                 none
% 0.19/0.43  % --bmc1_unsat_core_children            false
% 0.19/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.43  % --bmc1_out_stat                       full
% 0.19/0.43  % --bmc1_ground_init                    false
% 0.19/0.43  % --bmc1_pre_inst_next_state            false
% 0.19/0.43  % --bmc1_pre_inst_state                 false
% 0.19/0.43  % --bmc1_pre_inst_reach_state           false
% 0.19/0.43  % --bmc1_out_unsat_core                 false
% 0.19/0.43  % --bmc1_aig_witness_out                false
% 0.19/0.43  % --bmc1_verbose                        false
% 0.19/0.43  % --bmc1_dump_clauses_tptp              false
% 0.19/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.44  % --bmc1_dump_file                      -
% 0.19/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.44  % --bmc1_ucm_extend_mode                1
% 0.19/0.44  % --bmc1_ucm_init_mode                  2
% 0.19/0.44  % --bmc1_ucm_cone_mode                  none
% 0.19/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.44  % --bmc1_ucm_relax_model                4
% 0.19/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.44  % --bmc1_ucm_layered_model              none
% 0.19/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.44  
% 0.19/0.44  % ------ AIG Options
% 0.19/0.44  
% 0.19/0.44  % --aig_mode                            false
% 0.19/0.44  
% 0.19/0.44  % ------ Instantiation Options
% 0.19/0.44  
% 0.19/0.44  % --instantiation_flag                  true
% 0.19/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44  % --inst_solver_per_active              750
% 0.19/0.44  % --inst_solver_calls_frac              0.5
% 0.19/0.44  % --inst_passive_queue_type             priority_queues
% 0.19/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44  % --inst_passive_queues_freq            [25;2]
% 0.19/0.44  % --inst_dismatching                    true
% 0.19/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.44  % --inst_prop_sim_given                 true
% 0.19/0.44  % --inst_prop_sim_new                   false
% 0.19/0.44  % --inst_orphan_elimination             true
% 0.19/0.44  % --inst_learning_loop_flag             true
% 0.19/0.44  % --inst_learning_start                 3000
% 0.19/0.44  % --inst_learning_factor                2
% 0.19/0.44  % --inst_start_prop_sim_after_learn     3
% 0.19/0.44  % --inst_sel_renew                      solver
% 0.19/0.44  % --inst_lit_activity_flag              true
% 0.19/0.44  % --inst_out_proof                      true
% 0.19/0.44  
% 0.19/0.44  % ------ Resolution Options
% 0.19/0.44  
% 0.19/0.44  % --resolution_flag                     true
% 0.19/0.44  % --res_lit_sel                         kbo_max
% 0.19/0.44  % --res_to_prop_solver                  none
% 0.19/0.44  % --res_prop_simpl_new                  false
% 0.19/0.44  % --res_prop_simpl_given                false
% 0.19/0.44  % --res_passive_queue_type              priority_queues
% 0.19/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44  % --res_passive_queues_freq             [15;5]
% 0.19/0.44  % --res_forward_subs                    full
% 0.19/0.44  % --res_backward_subs                   full
% 0.19/0.44  % --res_forward_subs_resolution         true
% 0.19/0.44  % --res_backward_subs_resolution        true
% 0.19/0.44  % --res_orphan_elimination              false
% 0.19/0.44  % --res_time_limit                      1000.
% 0.19/0.44  % --res_out_proof                       true
% 0.19/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48180e.s
% 0.19/0.44  % --modulo                              true
% 0.19/0.44  
% 0.19/0.44  % ------ Combination Options
% 0.19/0.44  
% 0.19/0.44  % --comb_res_mult                       1000
% 0.19/0.44  % --comb_inst_mult                      300
% 0.19/0.44  % ------ 
% 0.19/0.44  
% 0.19/0.44  % ------ Parsing...% successful
% 0.19/0.44  
% 0.19/0.44  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.19/0.44  
% 0.19/0.44  % ------ Proving...
% 0.19/0.44  % ------ Problem Properties 
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % EPR                                   false
% 0.19/0.44  % Horn                                  false
% 0.19/0.44  % Has equality                          false
% 0.19/0.44  
% 0.19/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % % ------ Current options:
% 0.19/0.44  
% 0.19/0.44  % ------ Input Options
% 0.19/0.44  
% 0.19/0.44  % --out_options                         all
% 0.19/0.44  % --tptp_safe_out                       true
% 0.19/0.44  % --problem_path                        ""
% 0.19/0.44  % --include_path                        ""
% 0.19/0.44  % --clausifier                          .//eprover
% 0.19/0.44  % --clausifier_options                  --tstp-format  
% 0.19/0.44  % --stdin                               false
% 0.19/0.44  % --dbg_backtrace                       false
% 0.19/0.44  % --dbg_dump_prop_clauses               false
% 0.19/0.44  % --dbg_dump_prop_clauses_file          -
% 0.19/0.44  % --dbg_out_stat                        false
% 0.19/0.44  
% 0.19/0.44  % ------ General Options
% 0.19/0.44  
% 0.19/0.44  % --fof                                 false
% 0.19/0.44  % --time_out_real                       150.
% 0.19/0.44  % --time_out_prep_mult                  0.2
% 0.19/0.44  % --time_out_virtual                    -1.
% 0.19/0.44  % --schedule                            none
% 0.19/0.44  % --ground_splitting                    input
% 0.19/0.44  % --splitting_nvd                       16
% 0.19/0.44  % --non_eq_to_eq                        false
% 0.19/0.44  % --prep_gs_sim                         true
% 0.19/0.44  % --prep_unflatten                      false
% 0.19/0.44  % --prep_res_sim                        true
% 0.19/0.44  % --prep_upred                          true
% 0.19/0.44  % --res_sim_input                       true
% 0.19/0.44  % --clause_weak_htbl                    true
% 0.19/0.44  % --gc_record_bc_elim                   false
% 0.19/0.44  % --symbol_type_check                   false
% 0.19/0.44  % --clausify_out                        false
% 0.19/0.44  % --large_theory_mode                   false
% 0.19/0.44  % --prep_sem_filter                     none
% 0.19/0.44  % --prep_sem_filter_out                 false
% 0.19/0.44  % --preprocessed_out                    false
% 0.19/0.44  % --sub_typing                          false
% 0.19/0.44  % --brand_transform                     false
% 0.19/0.44  % --pure_diseq_elim                     true
% 0.19/0.44  % --min_unsat_core                      false
% 0.19/0.44  % --pred_elim                           true
% 0.19/0.44  % --add_important_lit                   false
% 0.19/0.44  % --soft_assumptions                    false
% 0.19/0.44  % --reset_solvers                       false
% 0.19/0.44  % --bc_imp_inh                          []
% 0.19/0.44  % --conj_cone_tolerance                 1.5
% 0.19/0.44  % --prolific_symb_bound                 500
% 0.19/0.44  % --lt_threshold                        2000
% 0.19/0.44  
% 0.19/0.44  % ------ SAT Options
% 0.19/0.44  
% 0.19/0.44  % --sat_mode                            false
% 0.19/0.44  % --sat_fm_restart_options              ""
% 0.19/0.44  % --sat_gr_def                          false
% 0.19/0.44  % --sat_epr_types                       true
% 0.19/0.44  % --sat_non_cyclic_types                false
% 0.19/0.44  % --sat_finite_models                   false
% 0.19/0.44  % --sat_fm_lemmas                       false
% 0.19/0.44  % --sat_fm_prep                         false
% 0.19/0.44  % --sat_fm_uc_incr                      true
% 0.19/0.44  % --sat_out_model                       small
% 0.19/0.44  % --sat_out_clauses                     false
% 0.19/0.44  
% 0.19/0.44  % ------ QBF Options
% 0.19/0.44  
% 0.19/0.44  % --qbf_mode                            false
% 0.19/0.44  % --qbf_elim_univ                       true
% 0.19/0.44  % --qbf_sk_in                           true
% 0.19/0.44  % --qbf_pred_elim                       true
% 0.19/0.44  % --qbf_split                           32
% 0.19/0.44  
% 0.19/0.44  % ------ BMC1 Options
% 0.19/0.44  
% 0.19/0.44  % --bmc1_incremental                    false
% 0.19/0.44  % --bmc1_axioms                         reachable_all
% 0.19/0.44  % --bmc1_min_bound                      0
% 0.19/0.44  % --bmc1_max_bound                      -1
% 0.19/0.44  % --bmc1_max_bound_default              -1
% 0.19/0.44  % --bmc1_symbol_reachability            true
% 0.19/0.44  % --bmc1_property_lemmas                false
% 0.19/0.44  % --bmc1_k_induction                    false
% 0.19/0.44  % --bmc1_non_equiv_states               false
% 0.19/0.44  % --bmc1_deadlock                       false
% 0.19/0.44  % --bmc1_ucm                            false
% 0.19/0.44  % --bmc1_add_unsat_core                 none
% 0.19/0.44  % --bmc1_unsat_core_children            false
% 0.19/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.44  % --bmc1_out_stat                       full
% 0.19/0.44  % --bmc1_ground_init                    false
% 0.19/0.44  % --bmc1_pre_inst_next_state            false
% 0.19/0.44  % --bmc1_pre_inst_state                 false
% 0.19/0.44  % --bmc1_pre_inst_reach_state           false
% 0.19/0.44  % --bmc1_out_unsat_core                 false
% 0.19/0.44  % --bmc1_aig_witness_out                false
% 0.19/0.44  % --bmc1_verbose                        false
% 0.19/0.44  % --bmc1_dump_clauses_tptp              false
% 0.19/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.44  % --bmc1_dump_file                      -
% 0.19/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.44  % --bmc1_ucm_extend_mode                1
% 0.19/0.44  % --bmc1_ucm_init_mode                  2
% 0.19/0.44  % --bmc1_ucm_cone_mode                  none
% 0.19/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.44  % --bmc1_ucm_relax_model                4
% 0.19/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.44  % --bmc1_ucm_layered_model              none
% 0.19/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.44  
% 0.19/0.44  % ------ AIG Options
% 0.19/0.44  
% 0.19/0.44  % --aig_mode                            false
% 0.19/0.44  
% 0.19/0.44  % ------ Instantiation Options
% 0.19/0.44  
% 0.19/0.44  % --instantiation_flag                  true
% 0.19/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44  % --inst_solver_per_active              750
% 0.19/0.44  % --inst_solver_calls_frac              0.5
% 0.19/0.44  % --inst_passive_queue_type             priority_queues
% 0.19/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44  % --inst_passive_queues_freq            [25;2]
% 0.19/0.44  % --inst_dismatching                    true
% 0.19/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.44  % --inst_prop_sim_given                 true
% 150.21/150.43  % --inst_prop_sim_new                   false
% 150.21/150.43  % --inst_orphan_elimination             true
% 150.21/150.43  % --inst_learning_loop_flag             true
% 150.21/150.43  % --inst_learning_start                 3000
% 150.21/150.43  % --inst_learning_factor                2
% 150.21/150.43  % --inst_start_prop_sim_after_learn     3
% 150.21/150.43  % --inst_sel_renew                      solver
% 150.21/150.43  % --inst_lit_activity_flag              true
% 150.21/150.43  % --inst_out_proof                      true
% 150.21/150.43  
% 150.21/150.43  % ------ Resolution Options
% 150.21/150.43  
% 150.21/150.43  % --resolution_flag                     true
% 150.21/150.43  % --res_lit_sel                         kbo_max
% 150.21/150.43  % --res_to_prop_solver                  none
% 150.21/150.43  % --res_prop_simpl_new                  false
% 150.21/150.43  % --res_prop_simpl_given                false
% 150.21/150.43  % --res_passive_queue_type              priority_queues
% 150.21/150.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.21/150.43  % --res_passive_queues_freq             [15;5]
% 150.21/150.43  % --res_forward_subs                    full
% 150.21/150.43  % --res_backward_subs                   full
% 150.21/150.43  % --res_forward_subs_resolution         true
% 150.21/150.43  % --res_backward_subs_resolution        true
% 150.21/150.43  % --res_orphan_elimination              false
% 150.21/150.43  % --res_time_limit                      1000.
% 150.21/150.43  % --res_out_proof                       true
% 150.21/150.43  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48180e.s
% 150.21/150.43  % --modulo                              true
% 150.21/150.43  
% 150.21/150.43  % ------ Combination Options
% 150.21/150.43  
% 150.21/150.43  % --comb_res_mult                       1000
% 150.21/150.43  % --comb_inst_mult                      300
% 150.21/150.43  % ------ 
% 150.21/150.43  
% 150.21/150.43  
% 150.21/150.43  
% 150.21/150.43  % ------ Proving...
% 150.21/150.43  % 
% 150.21/150.43  
% 150.21/150.43  
% 150.21/150.43  % Time Out Real
% 150.21/150.43  
% 150.21/150.43  % ------                             Statistics
% 150.21/150.43  
% 150.21/150.43  % ------ General
% 150.21/150.43  
% 150.21/150.43  % num_of_input_clauses:                 103
% 150.21/150.43  % num_of_input_neg_conjectures:         2
% 150.21/150.43  % num_of_splits:                        0
% 150.21/150.43  % num_of_split_atoms:                   0
% 150.21/150.43  % num_of_sem_filtered_clauses:          0
% 150.21/150.43  % num_of_subtypes:                      0
% 150.21/150.43  % monotx_restored_types:                0
% 150.21/150.43  % sat_num_of_epr_types:                 0
% 150.21/150.43  % sat_num_of_non_cyclic_types:          0
% 150.21/150.43  % sat_guarded_non_collapsed_types:      0
% 150.21/150.43  % is_epr:                               0
% 150.21/150.43  % is_horn:                              0
% 150.21/150.43  % has_eq:                               0
% 150.21/150.43  % num_pure_diseq_elim:                  0
% 150.21/150.43  % simp_replaced_by:                     0
% 150.21/150.43  % res_preprocessed:                     4
% 150.21/150.43  % prep_upred:                           0
% 150.21/150.43  % prep_unflattend:                      0
% 150.21/150.43  % pred_elim_cands:                      0
% 150.21/150.43  % pred_elim:                            0
% 150.21/150.43  % pred_elim_cl:                         0
% 150.21/150.43  % pred_elim_cycles:                     0
% 150.21/150.43  % forced_gc_time:                       0
% 150.21/150.43  % gc_basic_clause_elim:                 0
% 150.21/150.43  % parsing_time:                         0.005
% 150.21/150.43  % sem_filter_time:                      0.
% 150.21/150.43  % pred_elim_time:                       0.
% 150.21/150.43  % out_proof_time:                       0.
% 150.21/150.43  % monotx_time:                          0.
% 150.21/150.43  % subtype_inf_time:                     0.
% 150.21/150.43  % unif_index_cands_time:                0.052
% 150.21/150.43  % unif_index_add_time:                  0.007
% 150.21/150.43  % total_time:                           150.017
% 150.21/150.43  % num_of_symbols:                       49
% 150.21/150.43  % num_of_terms:                         4414
% 150.21/150.43  
% 150.21/150.43  % ------ Propositional Solver
% 150.21/150.43  
% 150.21/150.43  % prop_solver_calls:                    6
% 150.21/150.43  % prop_fast_solver_calls:               12
% 150.21/150.43  % prop_num_of_clauses:                  533
% 150.21/150.43  % prop_preprocess_simplified:           1152
% 150.21/150.43  % prop_fo_subsumed:                     0
% 150.21/150.43  % prop_solver_time:                     0.
% 150.21/150.43  % prop_fast_solver_time:                0.
% 150.21/150.43  % prop_unsat_core_time:                 0.
% 150.21/150.43  
% 150.21/150.43  % ------ QBF 
% 150.21/150.43  
% 150.21/150.43  % qbf_q_res:                            0
% 150.21/150.43  % qbf_num_tautologies:                  0
% 150.21/150.43  % qbf_prep_cycles:                      0
% 150.21/150.43  
% 150.21/150.43  % ------ BMC1
% 150.21/150.43  
% 150.21/150.43  % bmc1_current_bound:                   -1
% 150.21/150.43  % bmc1_last_solved_bound:               -1
% 150.21/150.43  % bmc1_unsat_core_size:                 -1
% 150.21/150.43  % bmc1_unsat_core_parents_size:         -1
% 150.21/150.43  % bmc1_merge_next_fun:                  0
% 150.21/150.43  % bmc1_unsat_core_clauses_time:         0.
% 150.21/150.43  
% 150.21/150.43  % ------ Instantiation
% 150.21/150.43  
% 150.21/150.43  % inst_num_of_clauses:                  408
% 150.21/150.43  % inst_num_in_passive:                  105
% 150.21/150.43  % inst_num_in_active:                   266
% 150.21/150.43  % inst_num_in_unprocessed:              33
% 150.21/150.43  % inst_num_of_loops:                    300
% 150.21/150.44  % inst_num_of_learning_restarts:        0
% 150.21/150.44  % inst_num_moves_active_passive:        28
% 150.21/150.44  % inst_lit_activity:                    105
% 150.21/150.44  % inst_lit_activity_moves:              0
% 150.21/150.44  % inst_num_tautologies:                 4
% 150.21/150.44  % inst_num_prop_implied:                0
% 150.21/150.44  % inst_num_existing_simplified:         0
% 150.21/150.44  % inst_num_eq_res_simplified:           0
% 150.21/150.44  % inst_num_child_elim:                  0
% 150.21/150.44  % inst_num_of_dismatching_blockings:    361
% 150.21/150.44  % inst_num_of_non_proper_insts:         1010
% 150.21/150.44  % inst_num_of_duplicates:               506
% 150.21/150.44  % inst_inst_num_from_inst_to_res:       0
% 150.21/150.44  % inst_dismatching_checking_time:       0.
% 150.21/150.44  
% 150.21/150.44  % ------ Resolution
% 150.21/150.44  
% 150.21/150.44  % res_num_of_clauses:                   1097149
% 150.21/150.44  % res_num_in_passive:                   1096624
% 150.21/150.44  % res_num_in_active:                    1018
% 150.21/150.44  % res_num_of_loops:                     1862
% 150.21/150.44  % res_forward_subset_subsumed:          79160
% 150.21/150.44  % res_backward_subset_subsumed:         587
% 150.21/150.44  % res_forward_subsumed:                 798
% 150.21/150.44  % res_backward_subsumed:                29
% 150.21/150.44  % res_forward_subsumption_resolution:   569
% 150.21/150.44  % res_backward_subsumption_resolution:  2
% 150.21/150.44  % res_clause_to_clause_subsumption:     336281
% 150.21/150.44  % res_orphan_elimination:               0
% 150.21/150.44  % res_tautology_del:                    10468
% 150.21/150.44  % res_num_eq_res_simplified:            0
% 150.21/150.44  % res_num_sel_changes:                  0
% 150.21/150.44  % res_moves_from_active_to_pass:        0
% 150.21/150.44  
% 150.21/150.44  % Status Unknown
% 150.28/150.49  % Orienting using strategy ClausalAll
% 150.28/150.49  % FOF problem with conjecture
% 150.28/150.49  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_48180e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e70ef3.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_c0ada6 | grep -v "SZS"
% 150.28/150.51  
% 150.28/150.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.28/150.51  
% 150.28/150.51  % 
% 150.28/150.51  % ------  iProver source info 
% 150.28/150.51  
% 150.28/150.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.28/150.51  % git: non_committed_changes: true
% 150.28/150.51  % git: last_make_outside_of_git: true
% 150.28/150.51  
% 150.28/150.51  % 
% 150.28/150.51  % ------ Input Options
% 150.28/150.51  
% 150.28/150.51  % --out_options                         all
% 150.28/150.51  % --tptp_safe_out                       true
% 150.28/150.51  % --problem_path                        ""
% 150.28/150.51  % --include_path                        ""
% 150.28/150.51  % --clausifier                          .//eprover
% 150.28/150.51  % --clausifier_options                  --tstp-format  
% 150.28/150.51  % --stdin                               false
% 150.28/150.51  % --dbg_backtrace                       false
% 150.28/150.51  % --dbg_dump_prop_clauses               false
% 150.28/150.51  % --dbg_dump_prop_clauses_file          -
% 150.28/150.51  % --dbg_out_stat                        false
% 150.28/150.51  
% 150.28/150.51  % ------ General Options
% 150.28/150.51  
% 150.28/150.51  % --fof                                 false
% 150.28/150.51  % --time_out_real                       150.
% 150.28/150.51  % --time_out_prep_mult                  0.2
% 150.28/150.51  % --time_out_virtual                    -1.
% 150.28/150.51  % --schedule                            none
% 150.28/150.51  % --ground_splitting                    input
% 150.28/150.51  % --splitting_nvd                       16
% 150.28/150.51  % --non_eq_to_eq                        false
% 150.28/150.51  % --prep_gs_sim                         true
% 150.28/150.51  % --prep_unflatten                      false
% 150.28/150.51  % --prep_res_sim                        true
% 150.28/150.51  % --prep_upred                          true
% 150.28/150.51  % --res_sim_input                       true
% 150.28/150.51  % --clause_weak_htbl                    true
% 150.28/150.51  % --gc_record_bc_elim                   false
% 150.28/150.51  % --symbol_type_check                   false
% 150.28/150.51  % --clausify_out                        false
% 150.28/150.51  % --large_theory_mode                   false
% 150.28/150.51  % --prep_sem_filter                     none
% 150.28/150.51  % --prep_sem_filter_out                 false
% 150.28/150.51  % --preprocessed_out                    false
% 150.28/150.51  % --sub_typing                          false
% 150.28/150.51  % --brand_transform                     false
% 150.28/150.51  % --pure_diseq_elim                     true
% 150.28/150.51  % --min_unsat_core                      false
% 150.28/150.51  % --pred_elim                           true
% 150.28/150.51  % --add_important_lit                   false
% 150.28/150.51  % --soft_assumptions                    false
% 150.28/150.51  % --reset_solvers                       false
% 150.28/150.51  % --bc_imp_inh                          []
% 150.28/150.51  % --conj_cone_tolerance                 1.5
% 150.28/150.51  % --prolific_symb_bound                 500
% 150.28/150.51  % --lt_threshold                        2000
% 150.28/150.51  
% 150.28/150.51  % ------ SAT Options
% 150.28/150.51  
% 150.28/150.51  % --sat_mode                            false
% 150.28/150.51  % --sat_fm_restart_options              ""
% 150.28/150.51  % --sat_gr_def                          false
% 150.28/150.51  % --sat_epr_types                       true
% 150.28/150.51  % --sat_non_cyclic_types                false
% 150.28/150.51  % --sat_finite_models                   false
% 150.28/150.51  % --sat_fm_lemmas                       false
% 150.28/150.51  % --sat_fm_prep                         false
% 150.28/150.51  % --sat_fm_uc_incr                      true
% 150.28/150.51  % --sat_out_model                       small
% 150.28/150.51  % --sat_out_clauses                     false
% 150.28/150.51  
% 150.28/150.51  % ------ QBF Options
% 150.28/150.51  
% 150.28/150.51  % --qbf_mode                            false
% 150.28/150.51  % --qbf_elim_univ                       true
% 150.28/150.51  % --qbf_sk_in                           true
% 150.28/150.51  % --qbf_pred_elim                       true
% 150.28/150.51  % --qbf_split                           32
% 150.28/150.51  
% 150.28/150.51  % ------ BMC1 Options
% 150.28/150.51  
% 150.28/150.51  % --bmc1_incremental                    false
% 150.28/150.51  % --bmc1_axioms                         reachable_all
% 150.28/150.51  % --bmc1_min_bound                      0
% 150.28/150.51  % --bmc1_max_bound                      -1
% 150.28/150.51  % --bmc1_max_bound_default              -1
% 150.28/150.51  % --bmc1_symbol_reachability            true
% 150.28/150.51  % --bmc1_property_lemmas                false
% 150.28/150.51  % --bmc1_k_induction                    false
% 150.28/150.51  % --bmc1_non_equiv_states               false
% 150.28/150.51  % --bmc1_deadlock                       false
% 150.28/150.51  % --bmc1_ucm                            false
% 150.28/150.51  % --bmc1_add_unsat_core                 none
% 150.28/150.51  % --bmc1_unsat_core_children            false
% 150.28/150.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.28/150.51  % --bmc1_out_stat                       full
% 150.28/150.51  % --bmc1_ground_init                    false
% 150.28/150.51  % --bmc1_pre_inst_next_state            false
% 150.28/150.51  % --bmc1_pre_inst_state                 false
% 150.28/150.51  % --bmc1_pre_inst_reach_state           false
% 150.28/150.51  % --bmc1_out_unsat_core                 false
% 150.28/150.51  % --bmc1_aig_witness_out                false
% 150.28/150.51  % --bmc1_verbose                        false
% 150.28/150.51  % --bmc1_dump_clauses_tptp              false
% 150.34/150.53  % --bmc1_dump_unsat_core_tptp           false
% 150.34/150.53  % --bmc1_dump_file                      -
% 150.34/150.53  % --bmc1_ucm_expand_uc_limit            128
% 150.34/150.53  % --bmc1_ucm_n_expand_iterations        6
% 150.34/150.53  % --bmc1_ucm_extend_mode                1
% 150.34/150.53  % --bmc1_ucm_init_mode                  2
% 150.34/150.53  % --bmc1_ucm_cone_mode                  none
% 150.34/150.53  % --bmc1_ucm_reduced_relation_type      0
% 150.34/150.53  % --bmc1_ucm_relax_model                4
% 150.34/150.53  % --bmc1_ucm_full_tr_after_sat          true
% 150.34/150.53  % --bmc1_ucm_expand_neg_assumptions     false
% 150.34/150.53  % --bmc1_ucm_layered_model              none
% 150.34/150.53  % --bmc1_ucm_max_lemma_size             10
% 150.34/150.53  
% 150.34/150.53  % ------ AIG Options
% 150.34/150.53  
% 150.34/150.53  % --aig_mode                            false
% 150.34/150.53  
% 150.34/150.53  % ------ Instantiation Options
% 150.34/150.53  
% 150.34/150.53  % --instantiation_flag                  true
% 150.34/150.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.53  % --inst_solver_per_active              750
% 150.34/150.53  % --inst_solver_calls_frac              0.5
% 150.34/150.53  % --inst_passive_queue_type             priority_queues
% 150.34/150.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.53  % --inst_passive_queues_freq            [25;2]
% 150.34/150.53  % --inst_dismatching                    true
% 150.34/150.53  % --inst_eager_unprocessed_to_passive   true
% 150.34/150.53  % --inst_prop_sim_given                 true
% 150.34/150.53  % --inst_prop_sim_new                   false
% 150.34/150.53  % --inst_orphan_elimination             true
% 150.34/150.53  % --inst_learning_loop_flag             true
% 150.34/150.53  % --inst_learning_start                 3000
% 150.34/150.53  % --inst_learning_factor                2
% 150.34/150.53  % --inst_start_prop_sim_after_learn     3
% 150.34/150.53  % --inst_sel_renew                      solver
% 150.34/150.53  % --inst_lit_activity_flag              true
% 150.34/150.53  % --inst_out_proof                      true
% 150.34/150.53  
% 150.34/150.53  % ------ Resolution Options
% 150.34/150.53  
% 150.34/150.53  % --resolution_flag                     true
% 150.34/150.53  % --res_lit_sel                         kbo_max
% 150.34/150.53  % --res_to_prop_solver                  none
% 150.34/150.53  % --res_prop_simpl_new                  false
% 150.34/150.53  % --res_prop_simpl_given                false
% 150.34/150.53  % --res_passive_queue_type              priority_queues
% 150.34/150.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.34/150.53  % --res_passive_queues_freq             [15;5]
% 150.34/150.53  % --res_forward_subs                    full
% 150.34/150.53  % --res_backward_subs                   full
% 150.34/150.53  % --res_forward_subs_resolution         true
% 150.34/150.53  % --res_backward_subs_resolution        true
% 150.34/150.53  % --res_orphan_elimination              false
% 150.34/150.53  % --res_time_limit                      1000.
% 150.34/150.53  % --res_out_proof                       true
% 150.34/150.53  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48180e.s
% 150.34/150.53  % --modulo                              true
% 150.34/150.53  
% 150.34/150.53  % ------ Combination Options
% 150.34/150.53  
% 150.34/150.53  % --comb_res_mult                       1000
% 150.34/150.53  % --comb_inst_mult                      300
% 150.34/150.53  % ------ 
% 150.34/150.53  
% 150.34/150.53  % ------ Parsing...% successful
% 150.34/150.53  
% 150.34/150.53  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 150.34/150.53  
% 150.34/150.53  % ------ Proving...
% 150.34/150.53  % ------ Problem Properties 
% 150.34/150.53  
% 150.34/150.53  % 
% 150.34/150.53  % EPR                                   false
% 150.34/150.53  % Horn                                  false
% 150.34/150.53  % Has equality                          false
% 150.34/150.53  
% 150.34/150.53  % % ------ Input Options Time Limit: Unbounded
% 150.34/150.53  
% 150.34/150.53  
% 150.34/150.53  % % ------ Current options:
% 150.34/150.53  
% 150.34/150.53  % ------ Input Options
% 150.34/150.53  
% 150.34/150.53  % --out_options                         all
% 150.34/150.53  % --tptp_safe_out                       true
% 150.34/150.53  % --problem_path                        ""
% 150.34/150.53  % --include_path                        ""
% 150.34/150.53  % --clausifier                          .//eprover
% 150.34/150.53  % --clausifier_options                  --tstp-format  
% 150.34/150.53  % --stdin                               false
% 150.34/150.53  % --dbg_backtrace                       false
% 150.34/150.53  % --dbg_dump_prop_clauses               false
% 150.34/150.53  % --dbg_dump_prop_clauses_file          -
% 150.34/150.53  % --dbg_out_stat                        false
% 150.34/150.53  
% 150.34/150.53  % ------ General Options
% 150.34/150.53  
% 150.34/150.53  % --fof                                 false
% 150.34/150.53  % --time_out_real                       150.
% 150.34/150.53  % --time_out_prep_mult                  0.2
% 150.34/150.53  % --time_out_virtual                    -1.
% 150.34/150.53  % --schedule                            none
% 150.34/150.53  % --ground_splitting                    input
% 150.34/150.53  % --splitting_nvd                       16
% 150.34/150.53  % --non_eq_to_eq                        false
% 150.34/150.53  % --prep_gs_sim                         true
% 150.34/150.53  % --prep_unflatten                      false
% 150.34/150.53  % --prep_res_sim                        true
% 150.34/150.53  % --prep_upred                          true
% 150.34/150.53  % --res_sim_input                       true
% 150.34/150.53  % --clause_weak_htbl                    true
% 150.34/150.53  % --gc_record_bc_elim                   false
% 150.34/150.53  % --symbol_type_check                   false
% 150.34/150.53  % --clausify_out                        false
% 150.34/150.53  % --large_theory_mode                   false
% 150.34/150.53  % --prep_sem_filter                     none
% 150.34/150.53  % --prep_sem_filter_out                 false
% 150.34/150.53  % --preprocessed_out                    false
% 150.34/150.53  % --sub_typing                          false
% 150.34/150.53  % --brand_transform                     false
% 150.34/150.53  % --pure_diseq_elim                     true
% 150.34/150.53  % --min_unsat_core                      false
% 150.34/150.53  % --pred_elim                           true
% 150.34/150.53  % --add_important_lit                   false
% 150.34/150.53  % --soft_assumptions                    false
% 150.34/150.53  % --reset_solvers                       false
% 150.34/150.53  % --bc_imp_inh                          []
% 150.34/150.53  % --conj_cone_tolerance                 1.5
% 150.34/150.53  % --prolific_symb_bound                 500
% 150.34/150.53  % --lt_threshold                        2000
% 150.34/150.53  
% 150.34/150.53  % ------ SAT Options
% 150.34/150.53  
% 150.34/150.53  % --sat_mode                            false
% 150.34/150.53  % --sat_fm_restart_options              ""
% 150.34/150.53  % --sat_gr_def                          false
% 150.34/150.53  % --sat_epr_types                       true
% 150.34/150.53  % --sat_non_cyclic_types                false
% 150.34/150.53  % --sat_finite_models                   false
% 150.34/150.53  % --sat_fm_lemmas                       false
% 150.34/150.53  % --sat_fm_prep                         false
% 150.34/150.53  % --sat_fm_uc_incr                      true
% 150.34/150.53  % --sat_out_model                       small
% 150.34/150.53  % --sat_out_clauses                     false
% 150.34/150.53  
% 150.34/150.53  % ------ QBF Options
% 150.34/150.53  
% 150.34/150.53  % --qbf_mode                            false
% 150.34/150.53  % --qbf_elim_univ                       true
% 150.34/150.53  % --qbf_sk_in                           true
% 150.34/150.53  % --qbf_pred_elim                       true
% 150.34/150.53  % --qbf_split                           32
% 150.34/150.53  
% 150.34/150.53  % ------ BMC1 Options
% 150.34/150.53  
% 150.34/150.53  % --bmc1_incremental                    false
% 150.34/150.53  % --bmc1_axioms                         reachable_all
% 150.34/150.53  % --bmc1_min_bound                      0
% 150.34/150.53  % --bmc1_max_bound                      -1
% 150.34/150.53  % --bmc1_max_bound_default              -1
% 150.34/150.53  % --bmc1_symbol_reachability            true
% 150.34/150.53  % --bmc1_property_lemmas                false
% 150.34/150.53  % --bmc1_k_induction                    false
% 150.34/150.53  % --bmc1_non_equiv_states               false
% 150.34/150.53  % --bmc1_deadlock                       false
% 150.34/150.53  % --bmc1_ucm                            false
% 150.34/150.53  % --bmc1_add_unsat_core                 none
% 150.34/150.53  % --bmc1_unsat_core_children            false
% 150.34/150.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.34/150.53  % --bmc1_out_stat                       full
% 150.34/150.53  % --bmc1_ground_init                    false
% 150.34/150.53  % --bmc1_pre_inst_next_state            false
% 150.34/150.53  % --bmc1_pre_inst_state                 false
% 150.34/150.53  % --bmc1_pre_inst_reach_state           false
% 150.34/150.53  % --bmc1_out_unsat_core                 false
% 150.34/150.53  % --bmc1_aig_witness_out                false
% 150.34/150.53  % --bmc1_verbose                        false
% 150.34/150.53  % --bmc1_dump_clauses_tptp              false
% 150.34/150.53  % --bmc1_dump_unsat_core_tptp           false
% 150.34/150.53  % --bmc1_dump_file                      -
% 150.34/150.53  % --bmc1_ucm_expand_uc_limit            128
% 150.34/150.53  % --bmc1_ucm_n_expand_iterations        6
% 150.34/150.53  % --bmc1_ucm_extend_mode                1
% 150.34/150.53  % --bmc1_ucm_init_mode                  2
% 150.34/150.53  % --bmc1_ucm_cone_mode                  none
% 150.34/150.53  % --bmc1_ucm_reduced_relation_type      0
% 150.34/150.53  % --bmc1_ucm_relax_model                4
% 150.34/150.53  % --bmc1_ucm_full_tr_after_sat          true
% 150.34/150.53  % --bmc1_ucm_expand_neg_assumptions     false
% 150.34/150.53  % --bmc1_ucm_layered_model              none
% 150.34/150.53  % --bmc1_ucm_max_lemma_size             10
% 150.34/150.53  
% 150.34/150.53  % ------ AIG Options
% 150.34/150.53  
% 150.34/150.53  % --aig_mode                            false
% 150.34/150.53  
% 150.34/150.53  % ------ Instantiation Options
% 150.34/150.53  
% 150.34/150.53  % --instantiation_flag                  true
% 150.34/150.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.53  % --inst_solver_per_active              750
% 150.34/150.53  % --inst_solver_calls_frac              0.5
% 150.34/150.53  % --inst_passive_queue_type             priority_queues
% 150.34/150.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.53  % --inst_passive_queues_freq            [25;2]
% 150.34/150.53  % --inst_dismatching                    true
% 150.34/150.53  % --inst_eager_unprocessed_to_passive   true
% 150.34/150.53  % --inst_prop_sim_given                 true
% 168.25/168.44  % --inst_prop_sim_new                   false
% 168.25/168.44  % --inst_orphan_elimination             true
% 168.25/168.44  % --inst_learning_loop_flag             true
% 168.25/168.44  % --inst_learning_start                 3000
% 168.25/168.44  % --inst_learning_factor                2
% 168.25/168.44  % --inst_start_prop_sim_after_learn     3
% 168.25/168.44  % --inst_sel_renew                      solver
% 168.25/168.44  % --inst_lit_activity_flag              true
% 168.25/168.44  % --inst_out_proof                      true
% 168.25/168.44  
% 168.25/168.44  % ------ Resolution Options
% 168.25/168.44  
% 168.25/168.44  % --resolution_flag                     true
% 168.25/168.44  % --res_lit_sel                         kbo_max
% 168.25/168.44  % --res_to_prop_solver                  none
% 168.25/168.44  % --res_prop_simpl_new                  false
% 168.25/168.44  % --res_prop_simpl_given                false
% 168.25/168.44  % --res_passive_queue_type              priority_queues
% 168.25/168.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 168.25/168.44  % --res_passive_queues_freq             [15;5]
% 168.25/168.44  % --res_forward_subs                    full
% 168.25/168.44  % --res_backward_subs                   full
% 168.25/168.44  % --res_forward_subs_resolution         true
% 168.25/168.44  % --res_backward_subs_resolution        true
% 168.25/168.44  % --res_orphan_elimination              false
% 168.25/168.44  % --res_time_limit                      1000.
% 168.25/168.44  % --res_out_proof                       true
% 168.25/168.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48180e.s
% 168.25/168.44  % --modulo                              true
% 168.25/168.44  
% 168.25/168.44  % ------ Combination Options
% 168.25/168.44  
% 168.25/168.44  % --comb_res_mult                       1000
% 168.25/168.44  % --comb_inst_mult                      300
% 168.25/168.44  % ------ 
% 168.25/168.44  
% 168.25/168.44  
% 168.25/168.44  
% 168.25/168.44  % ------ Proving...
% 168.25/168.44  % 
% 168.25/168.44  
% 168.25/168.44  
% 168.25/168.44  % ------                             Statistics
% 168.25/168.44  
% 168.25/168.44  % ------ General
% 168.25/168.44  
% 168.25/168.44  % num_of_input_clauses:                 176
% 168.25/168.44  % num_of_input_neg_conjectures:         2
% 168.25/168.44  % num_of_splits:                        0
% 168.25/168.44  % num_of_split_atoms:                   0
% 168.25/168.44  % num_of_sem_filtered_clauses:          0
% 168.25/168.44  % num_of_subtypes:                      0
% 168.25/168.44  % monotx_restored_types:                0
% 168.25/168.44  % sat_num_of_epr_types:                 0
% 168.25/168.44  % sat_num_of_non_cyclic_types:          0
% 168.25/168.44  % sat_guarded_non_collapsed_types:      0
% 168.25/168.44  % is_epr:                               0
% 168.25/168.44  % is_horn:                              0
% 168.25/168.44  % has_eq:                               0
% 168.25/168.44  % num_pure_diseq_elim:                  0
% 168.25/168.44  % simp_replaced_by:                     0
% 168.25/168.44  % res_preprocessed:                     4
% 168.25/168.44  % prep_upred:                           0
% 168.25/168.44  % prep_unflattend:                      0
% 168.25/168.44  % pred_elim_cands:                      0
% 168.25/168.44  % pred_elim:                            0
% 168.25/168.44  % pred_elim_cl:                         0
% 168.25/168.44  % pred_elim_cycles:                     0
% 168.25/168.44  % forced_gc_time:                       0
% 168.25/168.44  % gc_basic_clause_elim:                 0
% 168.25/168.44  % parsing_time:                         0.007
% 168.25/168.44  % sem_filter_time:                      0.
% 168.25/168.44  % pred_elim_time:                       0.
% 168.25/168.44  % out_proof_time:                       0.001
% 168.25/168.44  % monotx_time:                          0.
% 168.25/168.44  % subtype_inf_time:                     0.
% 168.25/168.44  % unif_index_cands_time:                0.027
% 168.25/168.44  % unif_index_add_time:                  0.006
% 168.25/168.44  % total_time:                           17.942
% 168.25/168.44  % num_of_symbols:                       49
% 168.25/168.44  % num_of_terms:                         3432
% 168.25/168.44  
% 168.25/168.44  % ------ Propositional Solver
% 168.25/168.44  
% 168.25/168.44  % prop_solver_calls:                    8
% 168.25/168.44  % prop_fast_solver_calls:               12
% 168.25/168.44  % prop_num_of_clauses:                  740
% 168.25/168.44  % prop_preprocess_simplified:           1910
% 168.25/168.44  % prop_fo_subsumed:                     0
% 168.25/168.44  % prop_solver_time:                     0.
% 168.25/168.44  % prop_fast_solver_time:                0.
% 168.25/168.44  % prop_unsat_core_time:                 0.
% 168.25/168.44  
% 168.25/168.44  % ------ QBF 
% 168.25/168.44  
% 168.25/168.44  % qbf_q_res:                            0
% 168.25/168.44  % qbf_num_tautologies:                  0
% 168.25/168.44  % qbf_prep_cycles:                      0
% 168.25/168.44  
% 168.25/168.44  % ------ BMC1
% 168.25/168.44  
% 168.25/168.44  % bmc1_current_bound:                   -1
% 168.25/168.44  % bmc1_last_solved_bound:               -1
% 168.25/168.44  % bmc1_unsat_core_size:                 -1
% 168.25/168.44  % bmc1_unsat_core_parents_size:         -1
% 168.25/168.44  % bmc1_merge_next_fun:                  0
% 168.25/168.44  % bmc1_unsat_core_clauses_time:         0.
% 168.25/168.44  
% 168.25/168.44  % ------ Instantiation
% 168.25/168.44  
% 168.25/168.44  % inst_num_of_clauses:                  588
% 168.25/168.44  % inst_num_in_passive:                  186
% 168.25/168.44  % inst_num_in_active:                   397
% 168.25/168.44  % inst_num_in_unprocessed:              1
% 168.25/168.44  % inst_num_of_loops:                    459
% 168.25/168.44  % inst_num_of_learning_restarts:        0
% 168.25/168.44  % inst_num_moves_active_passive:        52
% 168.25/168.44  % inst_lit_activity:                    132
% 168.25/168.44  % inst_lit_activity_moves:              0
% 168.25/168.44  % inst_num_tautologies:                 4
% 168.25/168.44  % inst_num_prop_implied:                0
% 168.25/168.44  % inst_num_existing_simplified:         0
% 168.25/168.44  % inst_num_eq_res_simplified:           0
% 168.25/168.44  % inst_num_child_elim:                  0
% 168.25/168.44  % inst_num_of_dismatching_blockings:    736
% 168.25/168.44  % inst_num_of_non_proper_insts:         1785
% 168.25/168.44  % inst_num_of_duplicates:               933
% 168.25/168.44  % inst_inst_num_from_inst_to_res:       0
% 168.25/168.44  % inst_dismatching_checking_time:       0.
% 168.25/168.44  
% 168.25/168.44  % ------ Resolution
% 168.25/168.44  
% 168.25/168.44  % res_num_of_clauses:                   266644
% 168.25/168.44  % res_num_in_passive:                   351921
% 168.25/168.44  % res_num_in_active:                    793
% 168.25/168.44  % res_num_of_loops:                     2000
% 168.25/168.44  % res_forward_subset_subsumed:          80434
% 168.25/168.44  % res_backward_subset_subsumed:         87209
% 168.25/168.44  % res_forward_subsumed:                 661
% 168.25/168.44  % res_backward_subsumed:                165
% 168.25/168.44  % res_forward_subsumption_resolution:   102
% 168.25/168.44  % res_backward_subsumption_resolution:  89
% 168.25/168.44  % res_clause_to_clause_subsumption:     183749
% 168.25/168.44  % res_orphan_elimination:               0
% 168.25/168.44  % res_tautology_del:                    2213
% 168.25/168.44  % res_num_eq_res_simplified:            0
% 168.25/168.44  % res_num_sel_changes:                  0
% 168.25/168.44  % res_moves_from_active_to_pass:        0
% 168.25/168.44  
% 168.25/168.44  % Status Unsatisfiable
% 168.25/168.44  % SZS status Theorem
% 168.25/168.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------