%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GEO257+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n008.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 04:42:42 EDT 2022

% Result   : Theorem 0.20s 0.45s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ax3_subs,axiom,
    ! [L,M,N] :
      ( left_convergent_lines(L,M)
     => ( unequally_directed_lines(M,N)
        | left_convergent_lines(L,N) ) ),
    input ).

fof(ax3_subs_0,plain,
    ! [L,M,N] :
      ( ~ left_convergent_lines(L,M)
      | unequally_directed_lines(M,N)
      | left_convergent_lines(L,N) ),
    inference(orientation,[status(thm)],[ax3_subs]) ).

fof(ax1_subs,axiom,
    ! [A,B,L] :
      ( left_apart_point(A,L)
     => ( distinct_points(A,B)
        | left_apart_point(B,L) ) ),
    input ).

fof(ax1_subs_0,plain,
    ! [A,B,L] :
      ( ~ left_apart_point(A,L)
      | distinct_points(A,B)
      | left_apart_point(B,L) ),
    inference(orientation,[status(thm)],[ax1_subs]) ).

fof(ax10_cons_objs,axiom,
    ! [A,L] : equally_directed_lines(parallel_through_point(L,A),L),
    input ).

fof(ax10_cons_objs_0,plain,
    ! [A,L] :
      ( equally_directed_lines(parallel_through_point(L,A),L)
      | $false ),
    inference(orientation,[status(thm)],[ax10_cons_objs]) ).

fof(ax9_cons_objs,axiom,
    ! [A,B] :
      ( distinct_points(A,B)
     => equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
    input ).

fof(ax9_cons_objs_0,plain,
    ! [A,B] :
      ( ~ distinct_points(A,B)
      | equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
    inference(orientation,[status(thm)],[ax9_cons_objs]) ).

fof(ax8_cons_objs,axiom,
    ! [L] : ~ distinct_lines(L,reverse_line(L)),
    input ).

fof(ax8_cons_objs_0,plain,
    ! [L] :
      ( ~ distinct_lines(L,reverse_line(L))
      | $false ),
    inference(orientation,[status(thm)],[ax8_cons_objs]) ).

fof(ax7_cons_objs,axiom,
    ! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)),
    input ).

fof(ax7_cons_objs_0,plain,
    ! [A,L] :
      ( ~ apart_point_and_line(A,parallel_through_point(L,A))
      | $false ),
    inference(orientation,[status(thm)],[ax7_cons_objs]) ).

fof(ax5_cons_objs,axiom,
    ! [A,B] :
      ( distinct_points(A,B)
     => ( ~ apart_point_and_line(A,line_connecting(A,B))
        & ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
    input ).

fof(ax5_cons_objs_0,plain,
    ! [A,B] :
      ( ~ distinct_points(A,B)
      | ( ~ apart_point_and_line(A,line_connecting(A,B))
        & ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
    inference(orientation,[status(thm)],[ax5_cons_objs]) ).

fof(ax4_cons_objs,axiom,
    ! [L] :
      ( line(L)
     => line(reverse_line(L)) ),
    input ).

fof(ax4_cons_objs_0,plain,
    ! [L] :
      ( ~ line(L)
      | line(reverse_line(L)) ),
    inference(orientation,[status(thm)],[ax4_cons_objs]) ).

fof(ax3_cons_objs,axiom,
    ! [L,A] :
      ( ( point(A)
        & line(L) )
     => line(parallel_through_point(L,A)) ),
    input ).

fof(ax3_cons_objs_0,plain,
    ! [A,L] :
      ( line(parallel_through_point(L,A))
      | ~ ( point(A)
          & line(L) ) ),
    inference(orientation,[status(thm)],[ax3_cons_objs]) ).

fof(ax2_cons_objs,axiom,
    ! [L,M] :
      ( ( line(L)
        & line(M)
        & unequally_directed_lines(L,M)
        & unequally_directed_lines(L,reverse_line(M)) )
     => point(intersection_point(L,M)) ),
    input ).

fof(ax2_cons_objs_0,plain,
    ! [L,M] :
      ( point(intersection_point(L,M))
      | ~ ( line(L)
          & line(M)
          & unequally_directed_lines(L,M)
          & unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(orientation,[status(thm)],[ax2_cons_objs]) ).

fof(ax1_cons_objs,axiom,
    ! [A,B] :
      ( ( point(A)
        & point(B)
        & distinct_points(A,B) )
     => line(line_connecting(A,B)) ),
    input ).

fof(ax1_cons_objs_0,plain,
    ! [A,B] :
      ( line(line_connecting(A,B))
      | ~ ( point(A)
          & point(B)
          & distinct_points(A,B) ) ),
    inference(orientation,[status(thm)],[ax1_cons_objs]) ).

fof(ax6_basics,axiom,
    ! [L,M,N] :
      ( unequally_directed_lines(L,M)
     => ( unequally_directed_lines(L,N)
        | unequally_directed_lines(M,N) ) ),
    input ).

fof(ax6_basics_0,plain,
    ! [L,M,N] :
      ( ~ unequally_directed_lines(L,M)
      | unequally_directed_lines(L,N)
      | unequally_directed_lines(M,N) ),
    inference(orientation,[status(thm)],[ax6_basics]) ).

fof(ax5_basics,axiom,
    ! [L] : equally_directed_lines(L,L),
    input ).

fof(ax5_basics_0,plain,
    ! [L] :
      ( equally_directed_lines(L,L)
      | $false ),
    inference(orientation,[status(thm)],[ax5_basics]) ).

fof(ax4_basics,axiom,
    ! [L,M,N] :
      ( distinct_lines(L,M)
     => ( distinct_lines(L,N)
        | distinct_lines(M,N) ) ),
    input ).

fof(ax4_basics_0,plain,
    ! [L,M,N] :
      ( ~ distinct_lines(L,M)
      | distinct_lines(L,N)
      | distinct_lines(M,N) ),
    inference(orientation,[status(thm)],[ax4_basics]) ).

fof(ax3_basics,axiom,
    ! [L] : ~ distinct_lines(L,L),
    input ).

fof(ax3_basics_0,plain,
    ! [L] :
      ( ~ distinct_lines(L,L)
      | $false ),
    inference(orientation,[status(thm)],[ax3_basics]) ).

fof(ax2_basics,axiom,
    ! [A,B,C] :
      ( distinct_points(A,B)
     => ( distinct_points(A,C)
        | distinct_points(B,C) ) ),
    input ).

fof(ax2_basics_0,plain,
    ! [A,B,C] :
      ( ~ distinct_points(A,B)
      | distinct_points(A,C)
      | distinct_points(B,C) ),
    inference(orientation,[status(thm)],[ax2_basics]) ).

fof(ax1_basics,axiom,
    ! [A] : ~ distinct_points(A,A),
    input ).

fof(ax1_basics_0,plain,
    ! [A] :
      ( ~ distinct_points(A,A)
      | $false ),
    inference(orientation,[status(thm)],[ax1_basics]) ).

fof(a9_defns,axiom,
    ! [L,A,B,C] :
      ( between_on_line(L,A,B,C)
    <=> ( ( before_on_line(L,A,B)
          & before_on_line(L,B,C) )
        | ( before_on_line(L,C,B)
          & before_on_line(L,B,A) ) ) ),
    input ).

fof(a9_defns_0,plain,
    ! [A,B,C,L] :
      ( between_on_line(L,A,B,C)
      | ~ ( ( before_on_line(L,A,B)
            & before_on_line(L,B,C) )
          | ( before_on_line(L,C,B)
            & before_on_line(L,B,A) ) ) ),
    inference(orientation,[status(thm)],[a9_defns]) ).

fof(a9_defns_1,plain,
    ! [A,B,C,L] :
      ( ~ between_on_line(L,A,B,C)
      | ( before_on_line(L,A,B)
        & before_on_line(L,B,C) )
      | ( before_on_line(L,C,B)
        & before_on_line(L,B,A) ) ),
    inference(orientation,[status(thm)],[a9_defns]) ).

fof(ax4_defns,axiom,
    ! [L,A,B] :
      ( before_on_line(L,A,B)
    <=> ( distinct_points(A,B)
        & incident_point_and_line(A,L)
        & incident_point_and_line(B,L)
        & equally_directed_lines(L,line_connecting(A,B)) ) ),
    input ).

fof(ax4_defns_0,plain,
    ! [A,B,L] :
      ( before_on_line(L,A,B)
      | ~ ( distinct_points(A,B)
          & incident_point_and_line(A,L)
          & incident_point_and_line(B,L)
          & equally_directed_lines(L,line_connecting(A,B)) ) ),
    inference(orientation,[status(thm)],[ax4_defns]) ).

fof(ax4_defns_1,plain,
    ! [A,B,L] :
      ( ~ before_on_line(L,A,B)
      | ( distinct_points(A,B)
        & incident_point_and_line(A,L)
        & incident_point_and_line(B,L)
        & equally_directed_lines(L,line_connecting(A,B)) ) ),
    inference(orientation,[status(thm)],[ax4_defns]) ).

fof(a8_defns,axiom,
    ! [A,B,L] :
      ( divides_points(L,A,B)
    <=> ( ( left_apart_point(A,L)
          & right_apart_point(B,L) )
        | ( right_apart_point(A,L)
          & left_apart_point(B,L) ) ) ),
    input ).

fof(a8_defns_0,plain,
    ! [A,B,L] :
      ( divides_points(L,A,B)
      | ~ ( ( left_apart_point(A,L)
            & right_apart_point(B,L) )
          | ( right_apart_point(A,L)
            & left_apart_point(B,L) ) ) ),
    inference(orientation,[status(thm)],[a8_defns]) ).

fof(a8_defns_1,plain,
    ! [A,B,L] :
      ( ~ divides_points(L,A,B)
      | ( left_apart_point(A,L)
        & right_apart_point(B,L) )
      | ( right_apart_point(A,L)
        & left_apart_point(B,L) ) ),
    inference(orientation,[status(thm)],[a8_defns]) ).

fof(a7_defns,axiom,
    ! [L,M] :
      ( convergent_lines(L,M)
    <=> ( unequally_directed_lines(L,M)
        & unequally_directed_opposite_lines(L,M) ) ),
    input ).

fof(a7_defns_0,plain,
    ! [L,M] :
      ( convergent_lines(L,M)
      | ~ ( unequally_directed_lines(L,M)
          & unequally_directed_opposite_lines(L,M) ) ),
    inference(orientation,[status(thm)],[a7_defns]) ).

fof(a7_defns_1,plain,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
      | ( unequally_directed_lines(L,M)
        & unequally_directed_opposite_lines(L,M) ) ),
    inference(orientation,[status(thm)],[a7_defns]) ).

fof(a6_defns,axiom,
    ! [A,L] :
      ( apart_point_and_line(A,L)
    <=> ( left_apart_point(A,L)
        | right_apart_point(A,L) ) ),
    input ).

fof(a6_defns_0,plain,
    ! [A,L] :
      ( apart_point_and_line(A,L)
      | ~ ( left_apart_point(A,L)
          | right_apart_point(A,L) ) ),
    inference(orientation,[status(thm)],[a6_defns]) ).

fof(a6_defns_1,plain,
    ! [A,L] :
      ( ~ apart_point_and_line(A,L)
      | left_apart_point(A,L)
      | right_apart_point(A,L) ),
    inference(orientation,[status(thm)],[a6_defns]) ).

fof(a5_defns,axiom,
    ! [X,Y] :
      ( equally_directed_opposite_lines(X,Y)
    <=> ~ unequally_directed_opposite_lines(X,Y) ),
    input ).

fof(a5_defns_0,plain,
    ! [X,Y] :
      ( equally_directed_opposite_lines(X,Y)
      | unequally_directed_opposite_lines(X,Y) ),
    inference(orientation,[status(thm)],[a5_defns]) ).

fof(a5_defns_1,plain,
    ! [X,Y] :
      ( ~ equally_directed_opposite_lines(X,Y)
      | ~ unequally_directed_opposite_lines(X,Y) ),
    inference(orientation,[status(thm)],[a5_defns]) ).

fof(a4_defns,axiom,
    ! [X,Y] :
      ( equally_directed_lines(X,Y)
    <=> ~ unequally_directed_lines(X,Y) ),
    input ).

fof(a4_defns_0,plain,
    ! [X,Y] :
      ( equally_directed_lines(X,Y)
      | unequally_directed_lines(X,Y) ),
    inference(orientation,[status(thm)],[a4_defns]) ).

fof(a4_defns_1,plain,
    ! [X,Y] :
      ( ~ equally_directed_lines(X,Y)
      | ~ unequally_directed_lines(X,Y) ),
    inference(orientation,[status(thm)],[a4_defns]) ).

fof(a3_defns,axiom,
    ! [X,Y] :
      ( right_convergent_lines(X,Y)
    <=> left_convergent_lines(X,reverse_line(Y)) ),
    input ).

fof(a3_defns_0,plain,
    ! [X,Y] :
      ( right_convergent_lines(X,Y)
      | ~ left_convergent_lines(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a3_defns]) ).

fof(a3_defns_1,plain,
    ! [X,Y] :
      ( ~ right_convergent_lines(X,Y)
      | left_convergent_lines(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a3_defns]) ).

fof(a2_defns,axiom,
    ! [X,Y] :
      ( right_apart_point(X,Y)
    <=> left_apart_point(X,reverse_line(Y)) ),
    input ).

fof(a2_defns_0,plain,
    ! [X,Y] :
      ( right_apart_point(X,Y)
      | ~ left_apart_point(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a2_defns]) ).

fof(a2_defns_1,plain,
    ! [X,Y] :
      ( ~ right_apart_point(X,Y)
      | left_apart_point(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a2_defns]) ).

fof(a1_defns,axiom,
    ! [X,Y] :
      ( unequally_directed_opposite_lines(X,Y)
    <=> unequally_directed_lines(X,reverse_line(Y)) ),
    input ).

fof(a1_defns_0,plain,
    ! [X,Y] :
      ( unequally_directed_opposite_lines(X,Y)
      | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a1_defns]) ).

fof(a1_defns_1,plain,
    ! [X,Y] :
      ( ~ unequally_directed_opposite_lines(X,Y)
      | unequally_directed_lines(X,reverse_line(Y)) ),
    inference(orientation,[status(thm)],[a1_defns]) ).

fof(def_lhs_atom1,axiom,
    ! [Y,X] :
      ( lhs_atom1(Y,X)
    <=> ~ unequally_directed_opposite_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X,Y] :
      ( lhs_atom1(Y,X)
      | unequally_directed_lines(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a1_defns_1,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Y,X] :
      ( lhs_atom2(Y,X)
    <=> unequally_directed_opposite_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y] :
      ( lhs_atom2(Y,X)
      | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a1_defns_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [Y,X] :
      ( lhs_atom3(Y,X)
    <=> ~ right_apart_point(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [X,Y] :
      ( lhs_atom3(Y,X)
      | left_apart_point(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a2_defns_1,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [Y,X] :
      ( lhs_atom4(Y,X)
    <=> right_apart_point(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [X,Y] :
      ( lhs_atom4(Y,X)
      | ~ left_apart_point(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a2_defns_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [Y,X] :
      ( lhs_atom5(Y,X)
    <=> ~ right_convergent_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [X,Y] :
      ( lhs_atom5(Y,X)
      | left_convergent_lines(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a3_defns_1,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [Y,X] :
      ( lhs_atom6(Y,X)
    <=> right_convergent_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [X,Y] :
      ( lhs_atom6(Y,X)
      | ~ left_convergent_lines(X,reverse_line(Y)) ),
    inference(fold_definition,[status(thm)],[a3_defns_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [Y,X] :
      ( lhs_atom7(Y,X)
    <=> ~ equally_directed_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [X,Y] :
      ( lhs_atom7(Y,X)
      | ~ unequally_directed_lines(X,Y) ),
    inference(fold_definition,[status(thm)],[a4_defns_1,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [Y,X] :
      ( lhs_atom8(Y,X)
    <=> equally_directed_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [X,Y] :
      ( lhs_atom8(Y,X)
      | unequally_directed_lines(X,Y) ),
    inference(fold_definition,[status(thm)],[a4_defns_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [Y,X] :
      ( lhs_atom9(Y,X)
    <=> ~ equally_directed_opposite_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [X,Y] :
      ( lhs_atom9(Y,X)
      | ~ unequally_directed_opposite_lines(X,Y) ),
    inference(fold_definition,[status(thm)],[a5_defns_1,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [Y,X] :
      ( lhs_atom10(Y,X)
    <=> equally_directed_opposite_lines(X,Y) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [X,Y] :
      ( lhs_atom10(Y,X)
      | unequally_directed_opposite_lines(X,Y) ),
    inference(fold_definition,[status(thm)],[a5_defns_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [L,A] :
      ( lhs_atom11(L,A)
    <=> ~ apart_point_and_line(A,L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [A,L] :
      ( lhs_atom11(L,A)
      | left_apart_point(A,L)
      | right_apart_point(A,L) ),
    inference(fold_definition,[status(thm)],[a6_defns_1,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [L,A] :
      ( lhs_atom12(L,A)
    <=> apart_point_and_line(A,L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [A,L] :
      ( lhs_atom12(L,A)
      | ~ ( left_apart_point(A,L)
          | right_apart_point(A,L) ) ),
    inference(fold_definition,[status(thm)],[a6_defns_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [M,L] :
      ( lhs_atom13(M,L)
    <=> ~ convergent_lines(L,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [L,M] :
      ( lhs_atom13(M,L)
      | ( unequally_directed_lines(L,M)
        & unequally_directed_opposite_lines(L,M) ) ),
    inference(fold_definition,[status(thm)],[a7_defns_1,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [M,L] :
      ( lhs_atom14(M,L)
    <=> convergent_lines(L,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [L,M] :
      ( lhs_atom14(M,L)
      | ~ ( unequally_directed_lines(L,M)
          & unequally_directed_opposite_lines(L,M) ) ),
    inference(fold_definition,[status(thm)],[a7_defns_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [L,B,A] :
      ( lhs_atom15(L,B,A)
    <=> ~ divides_points(L,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [A,B,L] :
      ( lhs_atom15(L,B,A)
      | ( left_apart_point(A,L)
        & right_apart_point(B,L) )
      | ( right_apart_point(A,L)
        & left_apart_point(B,L) ) ),
    inference(fold_definition,[status(thm)],[a8_defns_1,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [L,B,A] :
      ( lhs_atom16(L,B,A)
    <=> divides_points(L,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [A,B,L] :
      ( lhs_atom16(L,B,A)
      | ~ ( ( left_apart_point(A,L)
            & right_apart_point(B,L) )
          | ( right_apart_point(A,L)
            & left_apart_point(B,L) ) ) ),
    inference(fold_definition,[status(thm)],[a8_defns_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [L,B,A] :
      ( lhs_atom17(L,B,A)
    <=> ~ before_on_line(L,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [A,B,L] :
      ( lhs_atom17(L,B,A)
      | ( distinct_points(A,B)
        & incident_point_and_line(A,L)
        & incident_point_and_line(B,L)
        & equally_directed_lines(L,line_connecting(A,B)) ) ),
    inference(fold_definition,[status(thm)],[ax4_defns_1,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [L,B,A] :
      ( lhs_atom18(L,B,A)
    <=> before_on_line(L,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [A,B,L] :
      ( lhs_atom18(L,B,A)
      | ~ ( distinct_points(A,B)
          & incident_point_and_line(A,L)
          & incident_point_and_line(B,L)
          & equally_directed_lines(L,line_connecting(A,B)) ) ),
    inference(fold_definition,[status(thm)],[ax4_defns_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [L,C,B,A] :
      ( lhs_atom19(L,C,B,A)
    <=> ~ between_on_line(L,A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [A,B,C,L] :
      ( lhs_atom19(L,C,B,A)
      | ( before_on_line(L,A,B)
        & before_on_line(L,B,C) )
      | ( before_on_line(L,C,B)
        & before_on_line(L,B,A) ) ),
    inference(fold_definition,[status(thm)],[a9_defns_1,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [L,C,B,A] :
      ( lhs_atom20(L,C,B,A)
    <=> between_on_line(L,A,B,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [A,B,C,L] :
      ( lhs_atom20(L,C,B,A)
      | ~ ( ( before_on_line(L,A,B)
            & before_on_line(L,B,C) )
          | ( before_on_line(L,C,B)
            & before_on_line(L,B,A) ) ) ),
    inference(fold_definition,[status(thm)],[a9_defns_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [A] :
      ( lhs_atom21(A)
    <=> ~ distinct_points(A,A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [A] :
      ( lhs_atom21(A)
      | $false ),
    inference(fold_definition,[status(thm)],[ax1_basics_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [B,A] :
      ( lhs_atom22(B,A)
    <=> ~ distinct_points(A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [A,B,C] :
      ( lhs_atom22(B,A)
      | distinct_points(A,C)
      | distinct_points(B,C) ),
    inference(fold_definition,[status(thm)],[ax2_basics_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [L] :
      ( lhs_atom23(L)
    <=> ~ distinct_lines(L,L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [L] :
      ( lhs_atom23(L)
      | $false ),
    inference(fold_definition,[status(thm)],[ax3_basics_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [M,L] :
      ( lhs_atom24(M,L)
    <=> ~ distinct_lines(L,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [L,M,N] :
      ( lhs_atom24(M,L)
      | distinct_lines(L,N)
      | distinct_lines(M,N) ),
    inference(fold_definition,[status(thm)],[ax4_basics_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [L] :
      ( lhs_atom25(L)
    <=> equally_directed_lines(L,L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [L] :
      ( lhs_atom25(L)
      | $false ),
    inference(fold_definition,[status(thm)],[ax5_basics_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [M,L] :
      ( lhs_atom26(M,L)
    <=> ~ unequally_directed_lines(L,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [L,M,N] :
      ( lhs_atom26(M,L)
      | unequally_directed_lines(L,N)
      | unequally_directed_lines(M,N) ),
    inference(fold_definition,[status(thm)],[ax6_basics_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [B,A] :
      ( lhs_atom27(B,A)
    <=> line(line_connecting(A,B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [A,B] :
      ( lhs_atom27(B,A)
      | ~ ( point(A)
          & point(B)
          & distinct_points(A,B) ) ),
    inference(fold_definition,[status(thm)],[ax1_cons_objs_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [M,L] :
      ( lhs_atom28(M,L)
    <=> point(intersection_point(L,M)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [L,M] :
      ( lhs_atom28(M,L)
      | ~ ( line(L)
          & line(M)
          & unequally_directed_lines(L,M)
          & unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(fold_definition,[status(thm)],[ax2_cons_objs_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [L,A] :
      ( lhs_atom29(L,A)
    <=> line(parallel_through_point(L,A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [A,L] :
      ( lhs_atom29(L,A)
      | ~ ( point(A)
          & line(L) ) ),
    inference(fold_definition,[status(thm)],[ax3_cons_objs_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [L] :
      ( lhs_atom30(L)
    <=> ~ line(L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [L] :
      ( lhs_atom30(L)
      | line(reverse_line(L)) ),
    inference(fold_definition,[status(thm)],[ax4_cons_objs_0,def_lhs_atom30]) ).

fof(to_be_clausified_30,plain,
    ! [A,B] :
      ( lhs_atom22(B,A)
      | ( ~ apart_point_and_line(A,line_connecting(A,B))
        & ~ apart_point_and_line(B,line_connecting(A,B)) ) ),
    inference(fold_definition,[status(thm)],[ax5_cons_objs_0,def_lhs_atom22]) ).

fof(def_lhs_atom31,axiom,
    ! [L,A] :
      ( lhs_atom31(L,A)
    <=> ~ apart_point_and_line(A,parallel_through_point(L,A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [A,L] :
      ( lhs_atom31(L,A)
      | $false ),
    inference(fold_definition,[status(thm)],[ax7_cons_objs_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [L] :
      ( lhs_atom32(L)
    <=> ~ distinct_lines(L,reverse_line(L)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [L] :
      ( lhs_atom32(L)
      | $false ),
    inference(fold_definition,[status(thm)],[ax8_cons_objs_0,def_lhs_atom32]) ).

fof(to_be_clausified_33,plain,
    ! [A,B] :
      ( lhs_atom22(B,A)
      | equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
    inference(fold_definition,[status(thm)],[ax9_cons_objs_0,def_lhs_atom22]) ).

fof(def_lhs_atom33,axiom,
    ! [L,A] :
      ( lhs_atom33(L,A)
    <=> equally_directed_lines(parallel_through_point(L,A),L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [A,L] :
      ( lhs_atom33(L,A)
      | $false ),
    inference(fold_definition,[status(thm)],[ax10_cons_objs_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [L,A] :
      ( lhs_atom34(L,A)
    <=> ~ left_apart_point(A,L) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [A,B,L] :
      ( lhs_atom34(L,A)
      | distinct_points(A,B)
      | left_apart_point(B,L) ),
    inference(fold_definition,[status(thm)],[ax1_subs_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [M,L] :
      ( lhs_atom35(M,L)
    <=> ~ left_convergent_lines(L,M) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [L,M,N] :
      ( lhs_atom35(M,L)
      | unequally_directed_lines(M,N)
      | left_convergent_lines(L,N) ),
    inference(fold_definition,[status(thm)],[ax3_subs_0,def_lhs_atom35]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X7,X6,X4] :
      ( lhs_atom20(X3,X7,X6,X4)
      | ~ ( ( before_on_line(X3,X4,X6)
            & before_on_line(X3,X6,X7) )
          | ( before_on_line(X3,X7,X6)
            & before_on_line(X3,X6,X4) ) ) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_1,axiom,
    ! [X3,X7,X6,X4] :
      ( lhs_atom19(X3,X7,X6,X4)
      | ( before_on_line(X3,X4,X6)
        & before_on_line(X3,X6,X7) )
      | ( before_on_line(X3,X7,X6)
        & before_on_line(X3,X6,X4) ) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_2,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom18(X3,X6,X4)
      | ~ ( distinct_points(X4,X6)
          & incident_point_and_line(X4,X3)
          & incident_point_and_line(X6,X3)
          & equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_3,axiom,
    ! [X6,X4] :
      ( lhs_atom22(X6,X4)
      | equally_directed_lines(line_connecting(X4,X6),reverse_line(line_connecting(X6,X4))) ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_4,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom16(X3,X6,X4)
      | ~ ( ( left_apart_point(X4,X3)
            & right_apart_point(X6,X3) )
          | ( right_apart_point(X4,X3)
            & left_apart_point(X6,X3) ) ) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_5,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom17(X3,X6,X4)
      | ( distinct_points(X4,X6)
        & incident_point_and_line(X4,X3)
        & incident_point_and_line(X6,X3)
        & equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_6,axiom,
    ! [X5,X3] :
      ( lhs_atom28(X5,X3)
      | ~ ( line(X3)
          & line(X5)
          & unequally_directed_lines(X3,X5)
          & unequally_directed_lines(X3,reverse_line(X5)) ) ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_7,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom15(X3,X6,X4)
      | ( left_apart_point(X4,X3)
        & right_apart_point(X6,X3) )
      | ( right_apart_point(X4,X3)
        & left_apart_point(X6,X3) ) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_8,axiom,
    ! [X6,X4] :
      ( lhs_atom22(X6,X4)
      | ( ~ apart_point_and_line(X4,line_connecting(X4,X6))
        & ~ apart_point_and_line(X6,line_connecting(X4,X6)) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_9,axiom,
    ! [X5,X3] :
      ( lhs_atom14(X5,X3)
      | ~ ( unequally_directed_lines(X3,X5)
          & unequally_directed_opposite_lines(X3,X5) ) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_10,axiom,
    ! [X6,X4] :
      ( lhs_atom27(X6,X4)
      | ~ ( point(X4)
          & point(X6)
          & distinct_points(X4,X6) ) ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ left_convergent_lines(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_12,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ left_apart_point(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_13,axiom,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ unequally_directed_lines(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_14,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom35(X5,X3)
      | unequally_directed_lines(X5,X8)
      | left_convergent_lines(X3,X8) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_15,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom34(X3,X4)
      | distinct_points(X4,X6)
      | left_apart_point(X6,X3) ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_16,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom26(X5,X3)
      | unequally_directed_lines(X3,X8)
      | unequally_directed_lines(X5,X8) ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_17,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom24(X5,X3)
      | distinct_lines(X3,X8)
      | distinct_lines(X5,X8) ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_18,axiom,
    ! [X7,X6,X4] :
      ( lhs_atom22(X6,X4)
      | distinct_points(X4,X7)
      | distinct_points(X6,X7) ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_19,axiom,
    ! [X3,X4] :
      ( lhs_atom11(X3,X4)
      | left_apart_point(X4,X3)
      | right_apart_point(X4,X3) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_20,axiom,
    ! [X3,X4] :
      ( lhs_atom12(X3,X4)
      | ~ ( left_apart_point(X4,X3)
          | right_apart_point(X4,X3) ) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
      ( lhs_atom9(X1,X2)
      | ~ unequally_directed_opposite_lines(X2,X1) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( lhs_atom7(X1,X2)
      | ~ unequally_directed_lines(X2,X1) ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_23,axiom,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | left_convergent_lines(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | left_apart_point(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_25,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | unequally_directed_lines(X2,reverse_line(X1)) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_26,axiom,
    ! [X5,X3] :
      ( lhs_atom13(X5,X3)
      | ( unequally_directed_lines(X3,X5)
        & unequally_directed_opposite_lines(X3,X5) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_27,axiom,
    ! [X1,X2] :
      ( lhs_atom10(X1,X2)
      | unequally_directed_opposite_lines(X2,X1) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_28,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1,X2)
      | unequally_directed_lines(X2,X1) ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_29,axiom,
    ! [X3,X4] :
      ( lhs_atom29(X3,X4)
      | ~ ( point(X4)
          & line(X3) ) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_30,axiom,
    ! [X3] :
      ( lhs_atom30(X3)
      | line(reverse_line(X3)) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_31,axiom,
    ! [X3,X4] :
      ( lhs_atom33(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_32,axiom,
    ! [X3,X4] :
      ( lhs_atom31(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_33,axiom,
    ! [X3] :
      ( lhs_atom32(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_34,axiom,
    ! [X3] :
      ( lhs_atom25(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_35,axiom,
    ! [X3] :
      ( lhs_atom23(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_36,axiom,
    ! [X4] :
      ( lhs_atom21(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_37,axiom,
    ! [X3,X7,X6,X4] :
      ( lhs_atom20(X3,X7,X6,X4)
      | ~ ( ( before_on_line(X3,X4,X6)
            & before_on_line(X3,X6,X7) )
          | ( before_on_line(X3,X7,X6)
            & before_on_line(X3,X6,X4) ) ) ),
    c_0_0 ).

fof(c_0_38,axiom,
    ! [X3,X7,X6,X4] :
      ( lhs_atom19(X3,X7,X6,X4)
      | ( before_on_line(X3,X4,X6)
        & before_on_line(X3,X6,X7) )
      | ( before_on_line(X3,X7,X6)
        & before_on_line(X3,X6,X4) ) ),
    c_0_1 ).

fof(c_0_39,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom18(X3,X6,X4)
      | ~ ( distinct_points(X4,X6)
          & incident_point_and_line(X4,X3)
          & incident_point_and_line(X6,X3)
          & equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
    c_0_2 ).

fof(c_0_40,axiom,
    ! [X6,X4] :
      ( lhs_atom22(X6,X4)
      | equally_directed_lines(line_connecting(X4,X6),reverse_line(line_connecting(X6,X4))) ),
    c_0_3 ).

fof(c_0_41,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom16(X3,X6,X4)
      | ~ ( ( left_apart_point(X4,X3)
            & right_apart_point(X6,X3) )
          | ( right_apart_point(X4,X3)
            & left_apart_point(X6,X3) ) ) ),
    c_0_4 ).

fof(c_0_42,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom17(X3,X6,X4)
      | ( distinct_points(X4,X6)
        & incident_point_and_line(X4,X3)
        & incident_point_and_line(X6,X3)
        & equally_directed_lines(X3,line_connecting(X4,X6)) ) ),
    c_0_5 ).

fof(c_0_43,axiom,
    ! [X5,X3] :
      ( lhs_atom28(X5,X3)
      | ~ ( line(X3)
          & line(X5)
          & unequally_directed_lines(X3,X5)
          & unequally_directed_lines(X3,reverse_line(X5)) ) ),
    c_0_6 ).

fof(c_0_44,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom15(X3,X6,X4)
      | ( left_apart_point(X4,X3)
        & right_apart_point(X6,X3) )
      | ( right_apart_point(X4,X3)
        & left_apart_point(X6,X3) ) ),
    c_0_7 ).

fof(c_0_45,plain,
    ! [X6,X4] :
      ( lhs_atom22(X6,X4)
      | ( ~ apart_point_and_line(X4,line_connecting(X4,X6))
        & ~ apart_point_and_line(X6,line_connecting(X4,X6)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_46,axiom,
    ! [X5,X3] :
      ( lhs_atom14(X5,X3)
      | ~ ( unequally_directed_lines(X3,X5)
          & unequally_directed_opposite_lines(X3,X5) ) ),
    c_0_9 ).

fof(c_0_47,axiom,
    ! [X6,X4] :
      ( lhs_atom27(X6,X4)
      | ~ ( point(X4)
          & point(X6)
          & distinct_points(X4,X6) ) ),
    c_0_10 ).

fof(c_0_48,plain,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ left_convergent_lines(X2,reverse_line(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_49,plain,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ left_apart_point(X2,reverse_line(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_50,plain,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ unequally_directed_lines(X2,reverse_line(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_51,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom35(X5,X3)
      | unequally_directed_lines(X5,X8)
      | left_convergent_lines(X3,X8) ),
    c_0_14 ).

fof(c_0_52,axiom,
    ! [X3,X6,X4] :
      ( lhs_atom34(X3,X4)
      | distinct_points(X4,X6)
      | left_apart_point(X6,X3) ),
    c_0_15 ).

fof(c_0_53,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom26(X5,X3)
      | unequally_directed_lines(X3,X8)
      | unequally_directed_lines(X5,X8) ),
    c_0_16 ).

fof(c_0_54,axiom,
    ! [X8,X5,X3] :
      ( lhs_atom24(X5,X3)
      | distinct_lines(X3,X8)
      | distinct_lines(X5,X8) ),
    c_0_17 ).

fof(c_0_55,axiom,
    ! [X7,X6,X4] :
      ( lhs_atom22(X6,X4)
      | distinct_points(X4,X7)
      | distinct_points(X6,X7) ),
    c_0_18 ).

fof(c_0_56,axiom,
    ! [X3,X4] :
      ( lhs_atom11(X3,X4)
      | left_apart_point(X4,X3)
      | right_apart_point(X4,X3) ),
    c_0_19 ).

fof(c_0_57,axiom,
    ! [X3,X4] :
      ( lhs_atom12(X3,X4)
      | ~ ( left_apart_point(X4,X3)
          | right_apart_point(X4,X3) ) ),
    c_0_20 ).

fof(c_0_58,plain,
    ! [X1,X2] :
      ( lhs_atom9(X1,X2)
      | ~ unequally_directed_opposite_lines(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_59,plain,
    ! [X1,X2] :
      ( lhs_atom7(X1,X2)
      | ~ unequally_directed_lines(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_60,axiom,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | left_convergent_lines(X2,reverse_line(X1)) ),
    c_0_23 ).

fof(c_0_61,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | left_apart_point(X2,reverse_line(X1)) ),
    c_0_24 ).

fof(c_0_62,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | unequally_directed_lines(X2,reverse_line(X1)) ),
    c_0_25 ).

fof(c_0_63,axiom,
    ! [X5,X3] :
      ( lhs_atom13(X5,X3)
      | ( unequally_directed_lines(X3,X5)
        & unequally_directed_opposite_lines(X3,X5) ) ),
    c_0_26 ).

fof(c_0_64,axiom,
    ! [X1,X2] :
      ( lhs_atom10(X1,X2)
      | unequally_directed_opposite_lines(X2,X1) ),
    c_0_27 ).

fof(c_0_65,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1,X2)
      | unequally_directed_lines(X2,X1) ),
    c_0_28 ).

fof(c_0_66,axiom,
    ! [X3,X4] :
      ( lhs_atom29(X3,X4)
      | ~ ( point(X4)
          & line(X3) ) ),
    c_0_29 ).

fof(c_0_67,axiom,
    ! [X3] :
      ( lhs_atom30(X3)
      | line(reverse_line(X3)) ),
    c_0_30 ).

fof(c_0_68,plain,
    ! [X3,X4] : lhs_atom33(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_69,plain,
    ! [X3,X4] : lhs_atom31(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_70,plain,
    ! [X3] : lhs_atom32(X3),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_71,plain,
    ! [X3] : lhs_atom25(X3),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_72,plain,
    ! [X3] : lhs_atom23(X3),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_73,plain,
    ! [X4] : lhs_atom21(X4),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_74,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ before_on_line(X8,X11,X10)
        | ~ before_on_line(X8,X10,X9)
        | lhs_atom20(X8,X9,X10,X11) )
      & ( ~ before_on_line(X8,X9,X10)
        | ~ before_on_line(X8,X10,X11)
        | lhs_atom20(X8,X9,X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_75,plain,
    ! [X8,X9,X10,X11] :
      ( ( before_on_line(X8,X9,X10)
        | before_on_line(X8,X11,X10)
        | lhs_atom19(X8,X9,X10,X11) )
      & ( before_on_line(X8,X10,X11)
        | before_on_line(X8,X11,X10)
        | lhs_atom19(X8,X9,X10,X11) )
      & ( before_on_line(X8,X9,X10)
        | before_on_line(X8,X10,X9)
        | lhs_atom19(X8,X9,X10,X11) )
      & ( before_on_line(X8,X10,X11)
        | before_on_line(X8,X10,X9)
        | lhs_atom19(X8,X9,X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).

fof(c_0_76,plain,
    ! [X7,X8,X9] :
      ( lhs_atom18(X7,X8,X9)
      | ~ distinct_points(X9,X8)
      | ~ incident_point_and_line(X9,X7)
      | ~ incident_point_and_line(X8,X7)
      | ~ equally_directed_lines(X7,line_connecting(X9,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).

fof(c_0_77,plain,
    ! [X7,X8] :
      ( lhs_atom22(X7,X8)
      | equally_directed_lines(line_connecting(X8,X7),reverse_line(line_connecting(X7,X8))) ),
    inference(variable_rename,[status(thm)],[c_0_40]) ).

fof(c_0_78,plain,
    ! [X7,X8,X9] :
      ( ( ~ left_apart_point(X9,X7)
        | ~ right_apart_point(X8,X7)
        | lhs_atom16(X7,X8,X9) )
      & ( ~ right_apart_point(X9,X7)
        | ~ left_apart_point(X8,X7)
        | lhs_atom16(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_79,plain,
    ! [X7,X8,X9] :
      ( ( distinct_points(X9,X8)
        | lhs_atom17(X7,X8,X9) )
      & ( incident_point_and_line(X9,X7)
        | lhs_atom17(X7,X8,X9) )
      & ( incident_point_and_line(X8,X7)
        | lhs_atom17(X7,X8,X9) )
      & ( equally_directed_lines(X7,line_connecting(X9,X8))
        | lhs_atom17(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).

fof(c_0_80,plain,
    ! [X6,X7] :
      ( lhs_atom28(X6,X7)
      | ~ line(X7)
      | ~ line(X6)
      | ~ unequally_directed_lines(X7,X6)
      | ~ unequally_directed_lines(X7,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).

fof(c_0_81,plain,
    ! [X7,X8,X9] :
      ( ( right_apart_point(X9,X7)
        | left_apart_point(X9,X7)
        | lhs_atom15(X7,X8,X9) )
      & ( left_apart_point(X8,X7)
        | left_apart_point(X9,X7)
        | lhs_atom15(X7,X8,X9) )
      & ( right_apart_point(X9,X7)
        | right_apart_point(X8,X7)
        | lhs_atom15(X7,X8,X9) )
      & ( left_apart_point(X8,X7)
        | right_apart_point(X8,X7)
        | lhs_atom15(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).

fof(c_0_82,plain,
    ! [X7,X8] :
      ( ( ~ apart_point_and_line(X8,line_connecting(X8,X7))
        | lhs_atom22(X7,X8) )
      & ( ~ apart_point_and_line(X7,line_connecting(X8,X7))
        | lhs_atom22(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).

fof(c_0_83,plain,
    ! [X6,X7] :
      ( lhs_atom14(X6,X7)
      | ~ unequally_directed_lines(X7,X6)
      | ~ unequally_directed_opposite_lines(X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).

fof(c_0_84,plain,
    ! [X7,X8] :
      ( lhs_atom27(X7,X8)
      | ~ point(X8)
      | ~ point(X7)
      | ~ distinct_points(X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_85,plain,
    ! [X3,X4] :
      ( lhs_atom6(X3,X4)
      | ~ left_convergent_lines(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_48]) ).

fof(c_0_86,plain,
    ! [X3,X4] :
      ( lhs_atom4(X3,X4)
      | ~ left_apart_point(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_87,plain,
    ! [X3,X4] :
      ( lhs_atom2(X3,X4)
      | ~ unequally_directed_lines(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_50]) ).

fof(c_0_88,plain,
    ! [X9,X10,X11] :
      ( lhs_atom35(X10,X11)
      | unequally_directed_lines(X10,X9)
      | left_convergent_lines(X11,X9) ),
    inference(variable_rename,[status(thm)],[c_0_51]) ).

fof(c_0_89,plain,
    ! [X7,X8,X9] :
      ( lhs_atom34(X7,X9)
      | distinct_points(X9,X8)
      | left_apart_point(X8,X7) ),
    inference(variable_rename,[status(thm)],[c_0_52]) ).

fof(c_0_90,plain,
    ! [X9,X10,X11] :
      ( lhs_atom26(X10,X11)
      | unequally_directed_lines(X11,X9)
      | unequally_directed_lines(X10,X9) ),
    inference(variable_rename,[status(thm)],[c_0_53]) ).

fof(c_0_91,plain,
    ! [X9,X10,X11] :
      ( lhs_atom24(X10,X11)
      | distinct_lines(X11,X9)
      | distinct_lines(X10,X9) ),
    inference(variable_rename,[status(thm)],[c_0_54]) ).

fof(c_0_92,plain,
    ! [X8,X9,X10] :
      ( lhs_atom22(X9,X10)
      | distinct_points(X10,X8)
      | distinct_points(X9,X8) ),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

fof(c_0_93,plain,
    ! [X5,X6] :
      ( lhs_atom11(X5,X6)
      | left_apart_point(X6,X5)
      | right_apart_point(X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_56]) ).

fof(c_0_94,plain,
    ! [X5,X6] :
      ( ( ~ left_apart_point(X6,X5)
        | lhs_atom12(X5,X6) )
      & ( ~ right_apart_point(X6,X5)
        | lhs_atom12(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).

fof(c_0_95,plain,
    ! [X3,X4] :
      ( lhs_atom9(X3,X4)
      | ~ unequally_directed_opposite_lines(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_58]) ).

fof(c_0_96,plain,
    ! [X3,X4] :
      ( lhs_atom7(X3,X4)
      | ~ unequally_directed_lines(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_59]) ).

fof(c_0_97,plain,
    ! [X3,X4] :
      ( lhs_atom5(X3,X4)
      | left_convergent_lines(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_60]) ).

fof(c_0_98,plain,
    ! [X3,X4] :
      ( lhs_atom3(X3,X4)
      | left_apart_point(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_61]) ).

fof(c_0_99,plain,
    ! [X3,X4] :
      ( lhs_atom1(X3,X4)
      | unequally_directed_lines(X4,reverse_line(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_62]) ).

fof(c_0_100,plain,
    ! [X6,X7] :
      ( ( unequally_directed_lines(X7,X6)
        | lhs_atom13(X6,X7) )
      & ( unequally_directed_opposite_lines(X7,X6)
        | lhs_atom13(X6,X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).

fof(c_0_101,plain,
    ! [X3,X4] :
      ( lhs_atom10(X3,X4)
      | unequally_directed_opposite_lines(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_64]) ).

fof(c_0_102,plain,
    ! [X3,X4] :
      ( lhs_atom8(X3,X4)
      | unequally_directed_lines(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_65]) ).

fof(c_0_103,plain,
    ! [X5,X6] :
      ( lhs_atom29(X5,X6)
      | ~ point(X6)
      | ~ line(X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).

fof(c_0_104,plain,
    ! [X4] :
      ( lhs_atom30(X4)
      | line(reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_67]) ).

fof(c_0_105,plain,
    ! [X5,X6] : lhs_atom33(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_68]) ).

fof(c_0_106,plain,
    ! [X5,X6] : lhs_atom31(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_107,plain,
    ! [X4] : lhs_atom32(X4),
    inference(variable_rename,[status(thm)],[c_0_70]) ).

fof(c_0_108,plain,
    ! [X4] : lhs_atom25(X4),
    inference(variable_rename,[status(thm)],[c_0_71]) ).

fof(c_0_109,plain,
    ! [X4] : lhs_atom23(X4),
    inference(variable_rename,[status(thm)],[c_0_72]) ).

fof(c_0_110,plain,
    ! [X5] : lhs_atom21(X5),
    inference(variable_rename,[status(thm)],[c_0_73]) ).

cnf(c_0_111,plain,
    ( lhs_atom20(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_112,plain,
    ( lhs_atom20(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_113,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_114,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_115,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_116,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_117,plain,
    ( lhs_atom18(X1,X3,X2)
    | ~ 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_76]) ).

cnf(c_0_118,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | lhs_atom22(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_119,plain,
    ( lhs_atom16(X1,X2,X3)
    | ~ right_apart_point(X2,X1)
    | ~ left_apart_point(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_120,plain,
    ( lhs_atom16(X1,X2,X3)
    | ~ left_apart_point(X2,X1)
    | ~ right_apart_point(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_121,plain,
    ( lhs_atom17(X1,X2,X3)
    | equally_directed_lines(X1,line_connecting(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_122,plain,
    ( lhs_atom28(X2,X1)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_123,plain,
    ( lhs_atom15(X1,X2,X3)
    | left_apart_point(X3,X1)
    | right_apart_point(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_124,plain,
    ( lhs_atom15(X1,X2,X3)
    | left_apart_point(X3,X1)
    | left_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_125,plain,
    ( lhs_atom15(X1,X2,X3)
    | right_apart_point(X2,X1)
    | right_apart_point(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_126,plain,
    ( lhs_atom15(X1,X2,X3)
    | right_apart_point(X2,X1)
    | left_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_127,plain,
    ( lhs_atom22(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_128,plain,
    ( lhs_atom22(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_129,plain,
    ( lhs_atom17(X1,X2,X3)
    | distinct_points(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_130,plain,
    ( lhs_atom17(X1,X2,X3)
    | incident_point_and_line(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_131,plain,
    ( lhs_atom17(X1,X2,X3)
    | incident_point_and_line(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_132,plain,
    ( lhs_atom14(X2,X1)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_133,plain,
    ( lhs_atom27(X2,X1)
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_134,plain,
    ( lhs_atom6(X2,X1)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_135,plain,
    ( lhs_atom4(X2,X1)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_136,plain,
    ( lhs_atom2(X2,X1)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_137,plain,
    ( left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | lhs_atom35(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_138,plain,
    ( left_apart_point(X1,X2)
    | distinct_points(X3,X1)
    | lhs_atom34(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_139,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | lhs_atom26(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_140,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | lhs_atom24(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_141,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | lhs_atom22(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_142,plain,
    ( right_apart_point(X1,X2)
    | left_apart_point(X1,X2)
    | lhs_atom11(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_143,plain,
    ( lhs_atom12(X1,X2)
    | ~ left_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_144,plain,
    ( lhs_atom12(X1,X2)
    | ~ right_apart_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_145,plain,
    ( lhs_atom9(X2,X1)
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_146,plain,
    ( lhs_atom7(X2,X1)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_147,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | lhs_atom5(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_148,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | lhs_atom3(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_149,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | lhs_atom1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_150,plain,
    ( lhs_atom13(X1,X2)
    | unequally_directed_lines(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_151,plain,
    ( lhs_atom13(X1,X2)
    | unequally_directed_opposite_lines(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_152,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | lhs_atom10(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_153,plain,
    ( unequally_directed_lines(X1,X2)
    | lhs_atom8(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_154,plain,
    ( lhs_atom29(X1,X2)
    | ~ line(X1)
    | ~ point(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_155,plain,
    ( line(reverse_line(X1))
    | lhs_atom30(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_156,plain,
    lhs_atom33(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_157,plain,
    lhs_atom31(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_158,plain,
    lhs_atom32(X1),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_159,plain,
    lhs_atom25(X1),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_160,plain,
    lhs_atom23(X1),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_161,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_162,plain,
    ( lhs_atom20(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    c_0_111,
    [final] ).

cnf(c_0_163,plain,
    ( lhs_atom20(X1,X2,X3,X4)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    c_0_112,
    [final] ).

cnf(c_0_164,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X2,X3) ),
    c_0_113,
    [final] ).

cnf(c_0_165,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X3,X4) ),
    c_0_114,
    [final] ).

cnf(c_0_166,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X2,X3) ),
    c_0_115,
    [final] ).

cnf(c_0_167,plain,
    ( lhs_atom19(X1,X2,X3,X4)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X3,X4) ),
    c_0_116,
    [final] ).

cnf(c_0_168,plain,
    ( lhs_atom18(X1,X3,X2)
    | ~ 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_117,
    [final] ).

cnf(c_0_169,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | lhs_atom22(X2,X1) ),
    c_0_118,
    [final] ).

cnf(c_0_170,plain,
    ( lhs_atom16(X1,X2,X3)
    | ~ right_apart_point(X2,X1)
    | ~ left_apart_point(X3,X1) ),
    c_0_119,
    [final] ).

cnf(c_0_171,plain,
    ( lhs_atom16(X1,X2,X3)
    | ~ left_apart_point(X2,X1)
    | ~ right_apart_point(X3,X1) ),
    c_0_120,
    [final] ).

cnf(c_0_172,plain,
    ( lhs_atom17(X1,X2,X3)
    | equally_directed_lines(X1,line_connecting(X3,X2)) ),
    c_0_121,
    [final] ).

cnf(c_0_173,plain,
    ( lhs_atom28(X2,X1)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    c_0_122,
    [final] ).

cnf(c_0_174,plain,
    ( lhs_atom15(X1,X2,X3)
    | left_apart_point(X3,X1)
    | right_apart_point(X3,X1) ),
    c_0_123,
    [final] ).

cnf(c_0_175,plain,
    ( lhs_atom15(X1,X2,X3)
    | left_apart_point(X3,X1)
    | left_apart_point(X2,X1) ),
    c_0_124,
    [final] ).

cnf(c_0_176,plain,
    ( lhs_atom15(X1,X2,X3)
    | right_apart_point(X2,X1)
    | right_apart_point(X3,X1) ),
    c_0_125,
    [final] ).

cnf(c_0_177,plain,
    ( lhs_atom15(X1,X2,X3)
    | right_apart_point(X2,X1)
    | left_apart_point(X2,X1) ),
    c_0_126,
    [final] ).

cnf(c_0_178,plain,
    ( lhs_atom22(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
    c_0_127,
    [final] ).

cnf(c_0_179,plain,
    ( lhs_atom22(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
    c_0_128,
    [final] ).

cnf(c_0_180,plain,
    ( lhs_atom17(X1,X2,X3)
    | distinct_points(X3,X2) ),
    c_0_129,
    [final] ).

cnf(c_0_181,plain,
    ( lhs_atom17(X1,X2,X3)
    | incident_point_and_line(X3,X1) ),
    c_0_130,
    [final] ).

cnf(c_0_182,plain,
    ( lhs_atom17(X1,X2,X3)
    | incident_point_and_line(X2,X1) ),
    c_0_131,
    [final] ).

cnf(c_0_183,plain,
    ( lhs_atom14(X2,X1)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_132,
    [final] ).

cnf(c_0_184,plain,
    ( lhs_atom27(X2,X1)
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    c_0_133,
    [final] ).

cnf(c_0_185,plain,
    ( lhs_atom6(X2,X1)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    c_0_134,
    [final] ).

cnf(c_0_186,plain,
    ( lhs_atom4(X2,X1)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    c_0_135,
    [final] ).

cnf(c_0_187,plain,
    ( lhs_atom2(X2,X1)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    c_0_136,
    [final] ).

cnf(c_0_188,plain,
    ( left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | lhs_atom35(X3,X1) ),
    c_0_137,
    [final] ).

cnf(c_0_189,plain,
    ( left_apart_point(X1,X2)
    | distinct_points(X3,X1)
    | lhs_atom34(X2,X3) ),
    c_0_138,
    [final] ).

cnf(c_0_190,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | lhs_atom26(X1,X3) ),
    c_0_139,
    [final] ).

cnf(c_0_191,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | lhs_atom24(X1,X3) ),
    c_0_140,
    [final] ).

cnf(c_0_192,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | lhs_atom22(X1,X3) ),
    c_0_141,
    [final] ).

cnf(c_0_193,plain,
    ( right_apart_point(X1,X2)
    | left_apart_point(X1,X2)
    | lhs_atom11(X2,X1) ),
    c_0_142,
    [final] ).

cnf(c_0_194,plain,
    ( lhs_atom12(X1,X2)
    | ~ left_apart_point(X2,X1) ),
    c_0_143,
    [final] ).

cnf(c_0_195,plain,
    ( lhs_atom12(X1,X2)
    | ~ right_apart_point(X2,X1) ),
    c_0_144,
    [final] ).

cnf(c_0_196,plain,
    ( lhs_atom9(X2,X1)
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    c_0_145,
    [final] ).

cnf(c_0_197,plain,
    ( lhs_atom7(X2,X1)
    | ~ unequally_directed_lines(X1,X2) ),
    c_0_146,
    [final] ).

cnf(c_0_198,plain,
    ( left_convergent_lines(X1,reverse_line(X2))
    | lhs_atom5(X2,X1) ),
    c_0_147,
    [final] ).

cnf(c_0_199,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | lhs_atom3(X2,X1) ),
    c_0_148,
    [final] ).

cnf(c_0_200,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | lhs_atom1(X2,X1) ),
    c_0_149,
    [final] ).

cnf(c_0_201,plain,
    ( lhs_atom13(X1,X2)
    | unequally_directed_lines(X2,X1) ),
    c_0_150,
    [final] ).

cnf(c_0_202,plain,
    ( lhs_atom13(X1,X2)
    | unequally_directed_opposite_lines(X2,X1) ),
    c_0_151,
    [final] ).

cnf(c_0_203,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | lhs_atom10(X2,X1) ),
    c_0_152,
    [final] ).

cnf(c_0_204,plain,
    ( unequally_directed_lines(X1,X2)
    | lhs_atom8(X2,X1) ),
    c_0_153,
    [final] ).

cnf(c_0_205,plain,
    ( lhs_atom29(X1,X2)
    | ~ line(X1)
    | ~ point(X2) ),
    c_0_154,
    [final] ).

cnf(c_0_206,plain,
    ( line(reverse_line(X1))
    | lhs_atom30(X1) ),
    c_0_155,
    [final] ).

cnf(c_0_207,plain,
    lhs_atom33(X1,X2),
    c_0_156,
    [final] ).

cnf(c_0_208,plain,
    lhs_atom31(X1,X2),
    c_0_157,
    [final] ).

cnf(c_0_209,plain,
    lhs_atom32(X1),
    c_0_158,
    [final] ).

cnf(c_0_210,plain,
    lhs_atom25(X1),
    c_0_159,
    [final] ).

cnf(c_0_211,plain,
    lhs_atom23(X1),
    c_0_160,
    [final] ).

cnf(c_0_212,plain,
    lhs_atom21(X1),
    c_0_161,
    [final] ).

% End CNF derivation
cnf(c_0_162_0,axiom,
    ( between_on_line(X1,X4,X3,X2)
    | ~ before_on_line(X1,X3,X2)
    | ~ before_on_line(X1,X4,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom20]) ).

cnf(c_0_163_0,axiom,
    ( between_on_line(X1,X4,X3,X2)
    | ~ before_on_line(X1,X3,X4)
    | ~ before_on_line(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom20]) ).

cnf(c_0_164_0,axiom,
    ( ~ between_on_line(X1,X4,X3,X2)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom19]) ).

cnf(c_0_165_0,axiom,
    ( ~ between_on_line(X1,X4,X3,X2)
    | before_on_line(X1,X4,X3)
    | before_on_line(X1,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom19]) ).

cnf(c_0_166_0,axiom,
    ( ~ between_on_line(X1,X4,X3,X2)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom19]) ).

cnf(c_0_167_0,axiom,
    ( ~ between_on_line(X1,X4,X3,X2)
    | before_on_line(X1,X3,X2)
    | before_on_line(X1,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom19]) ).

cnf(c_0_168_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(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom18]) ).

cnf(c_0_169_0,axiom,
    ( ~ distinct_points(X1,X2)
    | equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ),
    inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom22]) ).

cnf(c_0_170_0,axiom,
    ( divides_points(X1,X3,X2)
    | ~ right_apart_point(X2,X1)
    | ~ left_apart_point(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom16]) ).

cnf(c_0_171_0,axiom,
    ( divides_points(X1,X3,X2)
    | ~ left_apart_point(X2,X1)
    | ~ right_apart_point(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom16]) ).

cnf(c_0_172_0,axiom,
    ( ~ before_on_line(X1,X3,X2)
    | equally_directed_lines(X1,line_connecting(X3,X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom17]) ).

cnf(c_0_173_0,axiom,
    ( point(intersection_point(X1,X2))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom28]) ).

cnf(c_0_174_0,axiom,
    ( ~ divides_points(X1,X3,X2)
    | left_apart_point(X3,X1)
    | right_apart_point(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom15]) ).

cnf(c_0_175_0,axiom,
    ( ~ divides_points(X1,X3,X2)
    | left_apart_point(X3,X1)
    | left_apart_point(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom15]) ).

cnf(c_0_176_0,axiom,
    ( ~ divides_points(X1,X3,X2)
    | right_apart_point(X2,X1)
    | right_apart_point(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom15]) ).

cnf(c_0_177_0,axiom,
    ( ~ divides_points(X1,X3,X2)
    | right_apart_point(X2,X1)
    | left_apart_point(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom15]) ).

cnf(c_0_178_0,axiom,
    ( ~ distinct_points(X2,X1)
    | ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom22]) ).

cnf(c_0_179_0,axiom,
    ( ~ distinct_points(X2,X1)
    | ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom22]) ).

cnf(c_0_180_0,axiom,
    ( ~ before_on_line(X1,X3,X2)
    | distinct_points(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom17]) ).

cnf(c_0_181_0,axiom,
    ( ~ before_on_line(X1,X3,X2)
    | incident_point_and_line(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom17]) ).

cnf(c_0_182_0,axiom,
    ( ~ before_on_line(X1,X3,X2)
    | incident_point_and_line(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom17]) ).

cnf(c_0_183_0,axiom,
    ( convergent_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom14]) ).

cnf(c_0_184_0,axiom,
    ( line(line_connecting(X1,X2))
    | ~ distinct_points(X1,X2)
    | ~ point(X2)
    | ~ point(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom27]) ).

cnf(c_0_185_0,axiom,
    ( right_convergent_lines(X1,X2)
    | ~ left_convergent_lines(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom6]) ).

cnf(c_0_186_0,axiom,
    ( right_apart_point(X1,X2)
    | ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom4]) ).

cnf(c_0_187_0,axiom,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom2]) ).

cnf(c_0_188_0,axiom,
    ( ~ left_convergent_lines(X1,X3)
    | left_convergent_lines(X1,X2)
    | unequally_directed_lines(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom35]) ).

cnf(c_0_189_0,axiom,
    ( ~ left_apart_point(X3,X2)
    | left_apart_point(X1,X2)
    | distinct_points(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom34]) ).

cnf(c_0_190_0,axiom,
    ( ~ unequally_directed_lines(X3,X1)
    | unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom26]) ).

cnf(c_0_191_0,axiom,
    ( ~ distinct_lines(X3,X1)
    | distinct_lines(X1,X2)
    | distinct_lines(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom24]) ).

cnf(c_0_192_0,axiom,
    ( ~ distinct_points(X3,X1)
    | distinct_points(X1,X2)
    | distinct_points(X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom22]) ).

cnf(c_0_193_0,axiom,
    ( ~ apart_point_and_line(X1,X2)
    | right_apart_point(X1,X2)
    | left_apart_point(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom11]) ).

cnf(c_0_194_0,axiom,
    ( apart_point_and_line(X2,X1)
    | ~ left_apart_point(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom12]) ).

cnf(c_0_195_0,axiom,
    ( apart_point_and_line(X2,X1)
    | ~ right_apart_point(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom12]) ).

cnf(c_0_196_0,axiom,
    ( ~ equally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom9]) ).

cnf(c_0_197_0,axiom,
    ( ~ equally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom7]) ).

cnf(c_0_198_0,axiom,
    ( ~ right_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom5]) ).

cnf(c_0_199_0,axiom,
    ( ~ right_apart_point(X1,X2)
    | left_apart_point(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom3]) ).

cnf(c_0_200_0,axiom,
    ( ~ unequally_directed_opposite_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom1]) ).

cnf(c_0_201_0,axiom,
    ( ~ convergent_lines(X2,X1)
    | unequally_directed_lines(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom13]) ).

cnf(c_0_202_0,axiom,
    ( ~ convergent_lines(X2,X1)
    | unequally_directed_opposite_lines(X2,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom13]) ).

cnf(c_0_203_0,axiom,
    ( equally_directed_opposite_lines(X1,X2)
    | unequally_directed_opposite_lines(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom10]) ).

cnf(c_0_204_0,axiom,
    ( equally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom8]) ).

cnf(c_0_205_0,axiom,
    ( line(parallel_through_point(X1,X2))
    | ~ line(X1)
    | ~ point(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom29]) ).

cnf(c_0_206_0,axiom,
    ( ~ line(X1)
    | line(reverse_line(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom30]) ).

cnf(c_0_207_0,axiom,
    equally_directed_lines(parallel_through_point(X1,X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom33]) ).

cnf(c_0_208_0,axiom,
    ~ apart_point_and_line(X2,parallel_through_point(X1,X2)),
    inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom31]) ).

cnf(c_0_209_0,axiom,
    ~ distinct_lines(X1,reverse_line(X1)),
    inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom32]) ).

cnf(c_0_210_0,axiom,
    equally_directed_lines(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom25]) ).

cnf(c_0_211_0,axiom,
    ~ distinct_lines(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom23]) ).

cnf(c_0_212_0,axiom,
    ~ distinct_points(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom21]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X4,X2,X3] :
      ( ( distinct_points(X1,X4)
        & distinct_lines(X2,X3) )
     => ( left_apart_point(X1,X2)
        | left_apart_point(X4,X2)
        | left_apart_point(X1,X3)
        | left_apart_point(X4,X3)
        | left_apart_point(X1,reverse_line(X2))
        | left_apart_point(X4,reverse_line(X2))
        | left_apart_point(X1,reverse_line(X3))
        | left_apart_point(X4,reverse_line(X3)) ) ),
    file('<stdin>',ax1_uniq_cons) ).

fof(c_0_1_002,axiom,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( ~ apart_point_and_line(intersection_point(X2,X3),X2)
        & ~ apart_point_and_line(intersection_point(X2,X3),X3) ) ),
    file('<stdin>',ax6_cons_objs) ).

fof(c_0_2_003,axiom,
    ! [X1,X4,X2] :
      ( ( distinct_points(X1,X4)
        & left_apart_point(X1,X2) )
     => ( left_apart_point(X4,X2)
        | left_convergent_lines(line_connecting(X1,X4),X2) ) ),
    file('<stdin>',ax2_uniq_cons) ).

fof(c_0_3_004,axiom,
    ! [X2,X3,X5] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( ( unequally_directed_lines(X2,X5)
          & unequally_directed_lines(X2,reverse_line(X5)) )
        | ( unequally_directed_lines(X3,X5)
          & unequally_directed_lines(X3,reverse_line(X5)) ) ) ),
    file('<stdin>',ax7_basics) ).

fof(c_0_4_005,axiom,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ) ),
    file('<stdin>',ax9_basics) ).

fof(c_0_5_006,axiom,
    ! [X1,X2,X3] :
      ( ( left_apart_point(X1,X2)
        & unequally_directed_lines(X2,X3) )
     => ( distinct_lines(X2,X3)
        | left_apart_point(X1,reverse_line(X3)) ) ),
    file('<stdin>',ax2_subs) ).

fof(c_0_6_007,axiom,
    ! [X2,X3] :
      ( unequally_directed_lines(X2,X3)
      | unequally_directed_lines(X2,reverse_line(X3)) ),
    file('<stdin>',ax8_basics) ).

fof(c_0_7_008,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ),
    file('<stdin>',ax10_basics) ).

fof(c_0_8_009,axiom,
    ! [X2,X3] :
      ~ ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ),
    file('<stdin>',ax11_basics) ).

fof(c_0_9_010,axiom,
    ! [X1,X4,X2,X3] :
      ( ( distinct_points(X1,X4)
        & distinct_lines(X2,X3) )
     => ( left_apart_point(X1,X2)
        | left_apart_point(X4,X2)
        | left_apart_point(X1,X3)
        | left_apart_point(X4,X3)
        | left_apart_point(X1,reverse_line(X2))
        | left_apart_point(X4,reverse_line(X2))
        | left_apart_point(X1,reverse_line(X3))
        | left_apart_point(X4,reverse_line(X3)) ) ),
    c_0_0 ).

fof(c_0_10_011,plain,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( ~ apart_point_and_line(intersection_point(X2,X3),X2)
        & ~ apart_point_and_line(intersection_point(X2,X3),X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_11_012,axiom,
    ! [X1,X4,X2] :
      ( ( distinct_points(X1,X4)
        & left_apart_point(X1,X2) )
     => ( left_apart_point(X4,X2)
        | left_convergent_lines(line_connecting(X1,X4),X2) ) ),
    c_0_2 ).

fof(c_0_12_013,axiom,
    ! [X2,X3,X5] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( ( unequally_directed_lines(X2,X5)
          & unequally_directed_lines(X2,reverse_line(X5)) )
        | ( unequally_directed_lines(X3,X5)
          & unequally_directed_lines(X3,reverse_line(X5)) ) ) ),
    c_0_3 ).

fof(c_0_13_014,axiom,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ) ),
    c_0_4 ).

fof(c_0_14_015,axiom,
    ! [X1,X2,X3] :
      ( ( left_apart_point(X1,X2)
        & unequally_directed_lines(X2,X3) )
     => ( distinct_lines(X2,X3)
        | left_apart_point(X1,reverse_line(X3)) ) ),
    c_0_5 ).

fof(c_0_15_016,axiom,
    ! [X2,X3] :
      ( unequally_directed_lines(X2,X3)
      | unequally_directed_lines(X2,reverse_line(X3)) ),
    c_0_6 ).

fof(c_0_16_017,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ),
    c_0_7 ).

fof(c_0_17_018,axiom,
    ! [X2,X3] :
      ~ ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ),
    c_0_8 ).

fof(c_0_18_019,plain,
    ! [X5,X6,X7,X8] :
      ( ~ distinct_points(X5,X6)
      | ~ distinct_lines(X7,X8)
      | left_apart_point(X5,X7)
      | left_apart_point(X6,X7)
      | left_apart_point(X5,X8)
      | left_apart_point(X6,X8)
      | left_apart_point(X5,reverse_line(X7))
      | left_apart_point(X6,reverse_line(X7))
      | left_apart_point(X5,reverse_line(X8))
      | left_apart_point(X6,reverse_line(X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).

fof(c_0_19_020,plain,
    ! [X4,X5] :
      ( ( ~ apart_point_and_line(intersection_point(X4,X5),X4)
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) )
      & ( ~ apart_point_and_line(intersection_point(X4,X5),X5)
        | ~ unequally_directed_lines(X4,X5)
        | ~ unequally_directed_lines(X4,reverse_line(X5)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

fof(c_0_20_021,plain,
    ! [X5,X6,X7] :
      ( ~ distinct_points(X5,X6)
      | ~ left_apart_point(X5,X7)
      | left_apart_point(X6,X7)
      | left_convergent_lines(line_connecting(X5,X6),X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

fof(c_0_21_022,plain,
    ! [X6,X7,X8] :
      ( ( unequally_directed_lines(X7,X8)
        | unequally_directed_lines(X6,X8)
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) )
      & ( unequally_directed_lines(X7,reverse_line(X8))
        | unequally_directed_lines(X6,X8)
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) )
      & ( unequally_directed_lines(X7,X8)
        | unequally_directed_lines(X6,reverse_line(X8))
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) )
      & ( unequally_directed_lines(X7,reverse_line(X8))
        | unequally_directed_lines(X6,reverse_line(X8))
        | ~ unequally_directed_lines(X6,X7)
        | ~ unequally_directed_lines(X6,reverse_line(X7)) ) ),
    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_12])])])])]) ).

fof(c_0_22_023,plain,
    ! [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)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

fof(c_0_23_024,plain,
    ! [X4,X5,X6] :
      ( ~ left_apart_point(X4,X5)
      | ~ unequally_directed_lines(X5,X6)
      | distinct_lines(X5,X6)
      | left_apart_point(X4,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).

fof(c_0_24_025,plain,
    ! [X4,X5] :
      ( unequally_directed_lines(X4,X5)
      | unequally_directed_lines(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_25_026,plain,
    ! [X3,X4,X5,X6] :
      ( ~ left_apart_point(X3,X4)
      & ~ left_apart_point(X5,reverse_line(X6)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

fof(c_0_26_027,plain,
    ! [X4,X5,X6,X7] :
      ( ~ left_convergent_lines(X4,X5)
      & ~ left_convergent_lines(X6,reverse_line(X7)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

cnf(c_0_27_028,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_18]) ).

cnf(c_0_28_029,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_19]) ).

cnf(c_0_29_030,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_19]) ).

cnf(c_0_30_031,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_20]) ).

cnf(c_0_31_032,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_21]) ).

cnf(c_0_32_033,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_21]) ).

cnf(c_0_33_034,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_21]) ).

cnf(c_0_34_035,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_22]) ).

cnf(c_0_35_036,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_21]) ).

cnf(c_0_36_037,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_23]) ).

cnf(c_0_37_038,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_38_039,plain,
    ~ left_apart_point(X1,reverse_line(X2)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_39_040,plain,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40_041,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_41_042,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42_043,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_27,
    [final] ).

cnf(c_0_43_044,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    c_0_28,
    [final] ).

cnf(c_0_44_045,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    c_0_29,
    [final] ).

cnf(c_0_45_046,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_30,
    [final] ).

cnf(c_0_46_047,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_31,
    [final] ).

cnf(c_0_47_048,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_32,
    [final] ).

cnf(c_0_48_049,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_33,
    [final] ).

cnf(c_0_49_050,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_34,
    [final] ).

cnf(c_0_50_051,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_35,
    [final] ).

cnf(c_0_51_052,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | distinct_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X2)
    | ~ left_apart_point(X1,X3) ),
    c_0_36,
    [final] ).

cnf(c_0_52_053,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    c_0_37,
    [final] ).

cnf(c_0_53_054,plain,
    ~ left_apart_point(X1,reverse_line(X2)),
    c_0_38,
    [final] ).

cnf(c_0_54_055,plain,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    c_0_39,
    [final] ).

cnf(c_0_55_056,plain,
    ~ left_apart_point(X1,X2),
    c_0_40,
    [final] ).

cnf(c_0_56_057,plain,
    ~ left_convergent_lines(X1,X2),
    c_0_41,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_42_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_42]) ).

cnf(c_0_43_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_43]) ).

cnf(c_0_43_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_43]) ).

cnf(c_0_43_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_43]) ).

cnf(c_0_44_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_44]) ).

cnf(c_0_44_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_44]) ).

cnf(c_0_44_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_44]) ).

cnf(c_0_45_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_45]) ).

cnf(c_0_45_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_45]) ).

cnf(c_0_45_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_45]) ).

cnf(c_0_45_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_45]) ).

cnf(c_0_46_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_46]) ).

cnf(c_0_46_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_46]) ).

cnf(c_0_46_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_46]) ).

cnf(c_0_46_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_46]) ).

cnf(c_0_47_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_47]) ).

cnf(c_0_47_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_47]) ).

cnf(c_0_47_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_47]) ).

cnf(c_0_47_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_47]) ).

cnf(c_0_48_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_48]) ).

cnf(c_0_48_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_48]) ).

cnf(c_0_48_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_48]) ).

cnf(c_0_48_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_48]) ).

cnf(c_0_49_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_49]) ).

cnf(c_0_49_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_49]) ).

cnf(c_0_49_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_49]) ).

cnf(c_0_49_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_49]) ).

cnf(c_0_50_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_50]) ).

cnf(c_0_50_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_50]) ).

cnf(c_0_50_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_50]) ).

cnf(c_0_50_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_50]) ).

cnf(c_0_51_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_51]) ).

cnf(c_0_51_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_51]) ).

cnf(c_0_51_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_51]) ).

cnf(c_0_51_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_51]) ).

cnf(c_0_52_0,axiom,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_1,axiom,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    ~ left_apart_point(X1,reverse_line(X2)),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    ~ left_convergent_lines(X1,reverse_line(X2)),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_55_0,axiom,
    ~ left_apart_point(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_56_0,axiom,
    ~ left_convergent_lines(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_058,conjecture,
    ! [X1,X2,X3,X4,X5] :
      ( ( distinct_points(X2,X4)
        & distinct_points(X3,X4)
        & incident_point_and_line(X4,X1)
        & left_apart_point(X5,X1) )
     => ( ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X4) )
       => before_on_line(X1,X2,X4) ) ),
    file('<stdin>',con) ).

fof(c_0_1_059,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5] :
        ( ( distinct_points(X2,X4)
          & distinct_points(X3,X4)
          & incident_point_and_line(X4,X1)
          & left_apart_point(X5,X1) )
       => ( ( before_on_line(X1,X2,X3)
            & before_on_line(X1,X3,X4) )
         => before_on_line(X1,X2,X4) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_060,negated_conjecture,
    ( distinct_points(esk2_0,esk4_0)
    & distinct_points(esk3_0,esk4_0)
    & incident_point_and_line(esk4_0,esk1_0)
    & left_apart_point(esk5_0,esk1_0)
    & before_on_line(esk1_0,esk2_0,esk3_0)
    & before_on_line(esk1_0,esk3_0,esk4_0)
    & ~ before_on_line(esk1_0,esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3_061,negated_conjecture,
    ~ before_on_line(esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_062,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_063,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_064,negated_conjecture,
    distinct_points(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_065,negated_conjecture,
    distinct_points(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_066,negated_conjecture,
    incident_point_and_line(esk4_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_067,negated_conjecture,
    left_apart_point(esk5_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_068,negated_conjecture,
    ~ before_on_line(esk1_0,esk2_0,esk4_0),
    c_0_3,
    [final] ).

cnf(c_0_11_069,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    c_0_4,
    [final] ).

cnf(c_0_12_070,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk4_0),
    c_0_5,
    [final] ).

cnf(c_0_13_071,negated_conjecture,
    distinct_points(esk2_0,esk4_0),
    c_0_6,
    [final] ).

cnf(c_0_14_072,negated_conjecture,
    distinct_points(esk3_0,esk4_0),
    c_0_7,
    [final] ).

cnf(c_0_15_073,negated_conjecture,
    incident_point_and_line(esk4_0,esk1_0),
    c_0_8,
    [final] ).

cnf(c_0_16_074,negated_conjecture,
    left_apart_point(esk5_0,esk1_0),
    c_0_9,
    [final] ).

% End CNF derivation

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

cnf(c_107,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5a71d7.p',c_0_16) ).

cnf(c_165,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_187,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_165]) ).

cnf(c_188,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_187]) ).

cnf(c_201,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_188]) ).

cnf(c_524,negated_conjecture,
    left_apart_point(sk3_esk5_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_201]) ).

cnf(c_48,plain,
    ~ left_apart_point(X0,X1),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5a71d7.p',c_0_55_0) ).

cnf(c_406,plain,
    ~ left_apart_point(X0,X1),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_549,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_524,c_406]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO257+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 00:53:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % 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_263cd4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_5a71d7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d0fd84 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_263cd4.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  % ------ Parsing...% successful
% 0.20/0.44  
% 0.20/0.44  % ------ 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 % 
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % ------ Problem Properties 
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % EPR                                   false
% 0.20/0.44  % Horn                                  false
% 0.20/0.44  % Has equality                          false
% 0.20/0.44  
% 0.20/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % % ------ Current options:
% 0.20/0.44  
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_263cd4.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  %  Resolution empty clause
% 0.20/0.44  
% 0.20/0.44  % ------                             Statistics
% 0.20/0.44  
% 0.20/0.44  % ------ General
% 0.20/0.44  
% 0.20/0.44  % num_of_input_clauses:                 108
% 0.20/0.44  % num_of_input_neg_conjectures:         7
% 0.20/0.44  % num_of_splits:                        0
% 0.20/0.44  % num_of_split_atoms:                   0
% 0.20/0.44  % num_of_sem_filtered_clauses:          0
% 0.20/0.44  % num_of_subtypes:                      0
% 0.20/0.44  % monotx_restored_types:                0
% 0.20/0.44  % sat_num_of_epr_types:                 0
% 0.20/0.44  % sat_num_of_non_cyclic_types:          0
% 0.20/0.44  % sat_guarded_non_collapsed_types:      0
% 0.20/0.44  % is_epr:                               0
% 0.20/0.44  % is_horn:                              0
% 0.20/0.44  % has_eq:                               0
% 0.20/0.44  % num_pure_diseq_elim:                  0
% 0.20/0.44  % simp_replaced_by:                     0
% 0.20/0.44  % res_preprocessed:                     14
% 0.20/0.44  % prep_upred:                           0
% 0.20/0.44  % prep_unflattend:                      0
% 0.20/0.44  % pred_elim_cands:                      0
% 0.20/0.44  % pred_elim:                            0
% 0.20/0.44  % pred_elim_cl:                         0
% 0.20/0.44  % pred_elim_cycles:                     0
% 0.20/0.44  % forced_gc_time:                       0
% 0.20/0.44  % gc_basic_clause_elim:                 0
% 0.20/0.44  % parsing_time:                         0.003
% 0.20/0.44  % sem_filter_time:                      0.
% 0.20/0.44  % pred_elim_time:                       0.
% 0.20/0.44  % out_proof_time:                       0.
% 0.20/0.44  % monotx_time:                          0.
% 0.20/0.44  % subtype_inf_time:                     0.
% 0.20/0.44  % unif_index_cands_time:                0.
% 0.20/0.44  % unif_index_add_time:                  0.
% 0.20/0.44  % total_time:                           0.029
% 0.20/0.44  % num_of_symbols:                       52
% 0.20/0.44  % num_of_terms:                         307
% 0.20/0.45  
% 0.20/0.45  % ------ Propositional Solver
% 0.20/0.45  
% 0.20/0.45  % prop_solver_calls:                    1
% 0.20/0.45  % prop_fast_solver_calls:               21
% 0.20/0.45  % prop_num_of_clauses:                  124
% 0.20/0.45  % prop_preprocess_simplified:           350
% 0.20/0.45  % prop_fo_subsumed:                     0
% 0.20/0.45  % prop_solver_time:                     0.
% 0.20/0.45  % prop_fast_solver_time:                0.
% 0.20/0.45  % prop_unsat_core_time:                 0.
% 0.20/0.45  
% 0.20/0.45  % ------ QBF 
% 0.20/0.45  
% 0.20/0.45  % qbf_q_res:                            0
% 0.20/0.45  % qbf_num_tautologies:                  0
% 0.20/0.45  % qbf_prep_cycles:                      0
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1
% 0.20/0.45  
% 0.20/0.45  % bmc1_current_bound:                   -1
% 0.20/0.45  % bmc1_last_solved_bound:               -1
% 0.20/0.45  % bmc1_unsat_core_size:                 -1
% 0.20/0.45  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.45  % bmc1_merge_next_fun:                  0
% 0.20/0.45  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation
% 0.20/0.45  
% 0.20/0.45  % inst_num_of_clauses:                  108
% 0.20/0.45  % inst_num_in_passive:                  0
% 0.20/0.45  % inst_num_in_active:                   0
% 0.20/0.45  % inst_num_in_unprocessed:              108
% 0.20/0.45  % inst_num_of_loops:                    0
% 0.20/0.45  % inst_num_of_learning_restarts:        0
% 0.20/0.45  % inst_num_moves_active_passive:        0
% 0.20/0.45  % inst_lit_activity:                    0
% 0.20/0.45  % inst_lit_activity_moves:              0
% 0.20/0.45  % inst_num_tautologies:                 0
% 0.20/0.45  % inst_num_prop_implied:                0
% 0.20/0.45  % inst_num_existing_simplified:         0
% 0.20/0.45  % inst_num_eq_res_simplified:           0
% 0.20/0.45  % inst_num_child_elim:                  0
% 0.20/0.45  % inst_num_of_dismatching_blockings:    0
% 0.20/0.45  % inst_num_of_non_proper_insts:         0
% 0.20/0.45  % inst_num_of_duplicates:               0
% 0.20/0.45  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.45  % inst_dismatching_checking_time:       0.
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution
% 0.20/0.45  
% 0.20/0.45  % res_num_of_clauses:                   151
% 0.20/0.45  % res_num_in_passive:                   11
% 0.20/0.45  % res_num_in_active:                    78
% 0.20/0.45  % res_num_of_loops:                     4
% 0.20/0.45  % res_forward_subset_subsumed:          25
% 0.20/0.45  % res_backward_subset_subsumed:         1
% 0.20/0.45  % res_forward_subsumed:                 0
% 0.20/0.45  % res_backward_subsumed:                0
% 0.20/0.45  % res_forward_subsumption_resolution:   1
% 0.20/0.45  % res_backward_subsumption_resolution:  0
% 0.20/0.45  % res_clause_to_clause_subsumption:     3
% 0.20/0.45  % res_orphan_elimination:               0
% 0.20/0.45  % res_tautology_del:                    0
% 0.20/0.45  % res_num_eq_res_simplified:            0
% 0.20/0.45  % res_num_sel_changes:                  0
% 0.20/0.45  % res_moves_from_active_to_pass:        0
% 0.20/0.45  
% 0.20/0.45  % Status Unsatisfiable
% 0.20/0.45  % SZS status Theorem
% 0.20/0.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------