TSTP Solution File: GEO242+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n015.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 04:42:30 EDT 2022
% Result : Theorem 0.22s 0.48s
% Output : CNFRefutation 0.22s
% 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(oagsub3,axiom,
! [L,M,N] :
( left_convergent_lines(L,M)
=> ( unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ) ),
input ).
fof(oagsub3_0,plain,
! [L,M,N] :
( ~ left_convergent_lines(L,M)
| unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ),
inference(orientation,[status(thm)],[oagsub3]) ).
fof(oagsub1,axiom,
! [A,B,L] :
( left_apart_point(A,L)
=> ( distinct_points(A,B)
| left_apart_point(B,L) ) ),
input ).
fof(oagsub1_0,plain,
! [A,B,L] :
( ~ left_apart_point(A,L)
| distinct_points(A,B)
| left_apart_point(B,L) ),
inference(orientation,[status(thm)],[oagsub1]) ).
fof(oagco10,axiom,
! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L),
input ).
fof(oagco10_0,plain,
! [A,L] :
( ~ unequally_directed_lines(parallel_through_point(L,A),L)
| $false ),
inference(orientation,[status(thm)],[oagco10]) ).
fof(oagco9,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
input ).
fof(oagco9_0,plain,
! [A,B] :
( ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))
| $false ),
inference(orientation,[status(thm)],[oagco9]) ).
fof(oagco8,axiom,
! [L] : ~ distinct_lines(L,reverse_line(L)),
input ).
fof(oagco8_0,plain,
! [L] :
( ~ distinct_lines(L,reverse_line(L))
| $false ),
inference(orientation,[status(thm)],[oagco8]) ).
fof(oagco7,axiom,
! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)),
input ).
fof(oagco7_0,plain,
! [A,L] :
( ~ apart_point_and_line(A,parallel_through_point(L,A))
| $false ),
inference(orientation,[status(thm)],[oagco7]) ).
fof(oagco5,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(oagco5_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)],[oagco5]) ).
fof(oagco4,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
input ).
fof(oagco4_0,plain,
! [L] :
( ~ line(L)
| line(reverse_line(L)) ),
inference(orientation,[status(thm)],[oagco4]) ).
fof(oagco3,axiom,
! [L,A] :
( ( point(A)
& line(L) )
=> line(parallel_through_point(L,A)) ),
input ).
fof(oagco3_0,plain,
! [A,L] :
( line(parallel_through_point(L,A))
| ~ ( point(A)
& line(L) ) ),
inference(orientation,[status(thm)],[oagco3]) ).
fof(oagco2,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(oagco2_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)],[oagco2]) ).
fof(oagco1,axiom,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> line(line_connecting(A,B)) ),
input ).
fof(oagco1_0,plain,
! [A,B] :
( line(line_connecting(A,B))
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(orientation,[status(thm)],[oagco1]) ).
fof(oag6,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
input ).
fof(oag6_0,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(orientation,[status(thm)],[oag6]) ).
fof(oag5,axiom,
! [L] : ~ unequally_directed_lines(L,L),
input ).
fof(oag5_0,plain,
! [L] :
( ~ unequally_directed_lines(L,L)
| $false ),
inference(orientation,[status(thm)],[oag5]) ).
fof(oag4,axiom,
! [L,M,N] :
( distinct_lines(L,M)
=> ( distinct_lines(L,N)
| distinct_lines(M,N) ) ),
input ).
fof(oag4_0,plain,
! [L,M,N] :
( ~ distinct_lines(L,M)
| distinct_lines(L,N)
| distinct_lines(M,N) ),
inference(orientation,[status(thm)],[oag4]) ).
fof(oag3,axiom,
! [L] : ~ distinct_lines(L,L),
input ).
fof(oag3_0,plain,
! [L] :
( ~ distinct_lines(L,L)
| $false ),
inference(orientation,[status(thm)],[oag3]) ).
fof(oag2,axiom,
! [A,B,C] :
( distinct_points(A,B)
=> ( distinct_points(A,C)
| distinct_points(B,C) ) ),
input ).
fof(oag2_0,plain,
! [A,B,C] :
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(orientation,[status(thm)],[oag2]) ).
fof(oag1,axiom,
! [A] : ~ distinct_points(A,A),
input ).
fof(oag1_0,plain,
! [A] :
( ~ distinct_points(A,A)
| $false ),
inference(orientation,[status(thm)],[oag1]) ).
fof(bet_def,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(bet_def_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)],[bet_def]) ).
fof(bet_def_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)],[bet_def]) ).
fof(bf_def,axiom,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
input ).
fof(bf_def_0,plain,
! [A,B,L] :
( before_on_line(L,A,B)
| ~ ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
inference(orientation,[status(thm)],[bf_def]) ).
fof(bf_def_1,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
| ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
inference(orientation,[status(thm)],[bf_def]) ).
fof(div_def,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ),
input ).
fof(div_def_0,plain,
! [A,B,L] :
( divides_points(L,A,B)
| ~ ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ),
inference(orientation,[status(thm)],[div_def]) ).
fof(div_def_1,plain,
! [A,B,L] :
( ~ divides_points(L,A,B)
| ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ),
inference(orientation,[status(thm)],[div_def]) ).
fof(con_def,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
input ).
fof(con_def_0,plain,
! [L,M] :
( convergent_lines(L,M)
| ~ ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(orientation,[status(thm)],[con_def]) ).
fof(con_def_1,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(orientation,[status(thm)],[con_def]) ).
fof(apt_def,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ),
input ).
fof(apt_def_0,plain,
! [A,L] :
( apart_point_and_line(A,L)
| ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ),
inference(orientation,[status(thm)],[apt_def]) ).
fof(apt_def_1,plain,
! [A,L] :
( ~ apart_point_and_line(A,L)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
inference(orientation,[status(thm)],[apt_def]) ).
fof(def_lhs_atom1,axiom,
! [L,A] :
( lhs_atom1(L,A)
<=> ~ apart_point_and_line(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A,L] :
( lhs_atom1(L,A)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
inference(fold_definition,[status(thm)],[apt_def_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [L,A] :
( lhs_atom2(L,A)
<=> apart_point_and_line(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A,L] :
( lhs_atom2(L,A)
| ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ),
inference(fold_definition,[status(thm)],[apt_def_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [M,L] :
( lhs_atom3(M,L)
<=> ~ convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [L,M] :
( lhs_atom3(M,L)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(fold_definition,[status(thm)],[con_def_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [M,L] :
( lhs_atom4(M,L)
<=> convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [L,M] :
( lhs_atom4(M,L)
| ~ ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(fold_definition,[status(thm)],[con_def_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [L,B,A] :
( lhs_atom5(L,B,A)
<=> ~ divides_points(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A,B,L] :
( lhs_atom5(L,B,A)
| ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ),
inference(fold_definition,[status(thm)],[div_def_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [L,B,A] :
( lhs_atom6(L,B,A)
<=> divides_points(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A,B,L] :
( lhs_atom6(L,B,A)
| ~ ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ),
inference(fold_definition,[status(thm)],[div_def_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [L,B,A] :
( lhs_atom7(L,B,A)
<=> ~ before_on_line(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A,B,L] :
( lhs_atom7(L,B,A)
| ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
inference(fold_definition,[status(thm)],[bf_def_1,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [L,B,A] :
( lhs_atom8(L,B,A)
<=> before_on_line(L,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [A,B,L] :
( lhs_atom8(L,B,A)
| ~ ( distinct_points(A,B)
& ~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ~ ( left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ),
inference(fold_definition,[status(thm)],[bf_def_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [L,C,B,A] :
( lhs_atom9(L,C,B,A)
<=> ~ between_on_line(L,A,B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [A,B,C,L] :
( lhs_atom9(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)],[bet_def_1,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [L,C,B,A] :
( lhs_atom10(L,C,B,A)
<=> between_on_line(L,A,B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [A,B,C,L] :
( lhs_atom10(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)],[bet_def_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ distinct_points(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[oag1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [B,A] :
( lhs_atom12(B,A)
<=> ~ distinct_points(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [A,B,C] :
( lhs_atom12(B,A)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(fold_definition,[status(thm)],[oag2_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [L] :
( lhs_atom13(L)
<=> ~ distinct_lines(L,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [L] :
( lhs_atom13(L)
| $false ),
inference(fold_definition,[status(thm)],[oag3_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [M,L] :
( lhs_atom14(M,L)
<=> ~ distinct_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [L,M,N] :
( lhs_atom14(M,L)
| distinct_lines(L,N)
| distinct_lines(M,N) ),
inference(fold_definition,[status(thm)],[oag4_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [L] :
( lhs_atom15(L)
<=> ~ unequally_directed_lines(L,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [L] :
( lhs_atom15(L)
| $false ),
inference(fold_definition,[status(thm)],[oag5_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [M,L] :
( lhs_atom16(M,L)
<=> ~ unequally_directed_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [L,M,N] :
( lhs_atom16(M,L)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(fold_definition,[status(thm)],[oag6_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> line(line_connecting(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A,B] :
( lhs_atom17(B,A)
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(fold_definition,[status(thm)],[oagco1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [M,L] :
( lhs_atom18(M,L)
<=> point(intersection_point(L,M)) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [L,M] :
( lhs_atom18(M,L)
| ~ ( line(L)
& line(M)
& unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
inference(fold_definition,[status(thm)],[oagco2_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [L,A] :
( lhs_atom19(L,A)
<=> line(parallel_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A,L] :
( lhs_atom19(L,A)
| ~ ( point(A)
& line(L) ) ),
inference(fold_definition,[status(thm)],[oagco3_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [L] :
( lhs_atom20(L)
<=> ~ line(L) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [L] :
( lhs_atom20(L)
| line(reverse_line(L)) ),
inference(fold_definition,[status(thm)],[oagco4_0,def_lhs_atom20]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom12(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)],[oagco5_0,def_lhs_atom12]) ).
fof(def_lhs_atom21,axiom,
! [L,A] :
( lhs_atom21(L,A)
<=> ~ apart_point_and_line(A,parallel_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,L] :
( lhs_atom21(L,A)
| $false ),
inference(fold_definition,[status(thm)],[oagco7_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [L] :
( lhs_atom22(L)
<=> ~ distinct_lines(L,reverse_line(L)) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [L] :
( lhs_atom22(L)
| $false ),
inference(fold_definition,[status(thm)],[oagco8_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [B,A] :
( lhs_atom23(B,A)
<=> ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom23(B,A)
| $false ),
inference(fold_definition,[status(thm)],[oagco9_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [L,A] :
( lhs_atom24(L,A)
<=> ~ unequally_directed_lines(parallel_through_point(L,A),L) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [A,L] :
( lhs_atom24(L,A)
| $false ),
inference(fold_definition,[status(thm)],[oagco10_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [L,A] :
( lhs_atom25(L,A)
<=> ~ left_apart_point(A,L) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [A,B,L] :
( lhs_atom25(L,A)
| distinct_points(A,B)
| left_apart_point(B,L) ),
inference(fold_definition,[status(thm)],[oagsub1_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [M,L] :
( lhs_atom26(M,L)
<=> ~ left_convergent_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [L,M,N] :
( lhs_atom26(M,L)
| unequally_directed_lines(M,N)
| left_convergent_lines(L,N) ),
inference(fold_definition,[status(thm)],[oagsub3_0,def_lhs_atom26]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X5,X4,X2] :
( lhs_atom10(X1,X5,X4,X2)
| ~ ( ( before_on_line(X1,X2,X4)
& before_on_line(X1,X4,X5) )
| ( before_on_line(X1,X5,X4)
& before_on_line(X1,X4,X2) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_1,axiom,
! [X1,X5,X4,X2] :
( lhs_atom9(X1,X5,X4,X2)
| ( before_on_line(X1,X2,X4)
& before_on_line(X1,X4,X5) )
| ( before_on_line(X1,X5,X4)
& before_on_line(X1,X4,X2) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_2,axiom,
! [X1,X4,X2] :
( lhs_atom8(X1,X4,X2)
| ~ ( distinct_points(X2,X4)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X4,X1)
| left_apart_point(X4,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X4)) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_3,axiom,
! [X1,X4,X2] :
( lhs_atom7(X1,X4,X2)
| ( distinct_points(X2,X4)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X4,X1)
| left_apart_point(X4,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X4)) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_4,axiom,
! [X1,X4,X2] :
( lhs_atom6(X1,X4,X2)
| ~ ( ( left_apart_point(X2,X1)
& left_apart_point(X4,reverse_line(X1)) )
| ( left_apart_point(X2,reverse_line(X1))
& left_apart_point(X4,X1) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_5,axiom,
! [X1,X4,X2] :
( lhs_atom5(X1,X4,X2)
| ( left_apart_point(X2,X1)
& left_apart_point(X4,reverse_line(X1)) )
| ( left_apart_point(X2,reverse_line(X1))
& left_apart_point(X4,X1) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_6,axiom,
! [X3,X1] :
( lhs_atom18(X3,X1)
| ~ ( line(X1)
& line(X3)
& unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_7,axiom,
! [X4,X2] :
( lhs_atom12(X4,X2)
| ( ~ apart_point_and_line(X2,line_connecting(X2,X4))
& ~ apart_point_and_line(X4,line_connecting(X2,X4)) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_8,axiom,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_9,axiom,
! [X4,X2] :
( lhs_atom17(X4,X2)
| ~ ( point(X2)
& point(X4)
& distinct_points(X2,X4) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_12,axiom,
! [X6,X3,X1] :
( lhs_atom26(X3,X1)
| unequally_directed_lines(X3,X6)
| left_convergent_lines(X1,X6) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_13,axiom,
! [X1,X4,X2] :
( lhs_atom25(X1,X2)
| distinct_points(X2,X4)
| left_apart_point(X4,X1) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_14,axiom,
! [X6,X3,X1] :
( lhs_atom16(X3,X1)
| unequally_directed_lines(X1,X6)
| unequally_directed_lines(X3,X6) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_15,axiom,
! [X6,X3,X1] :
( lhs_atom14(X3,X1)
| distinct_lines(X1,X6)
| distinct_lines(X3,X6) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_16,axiom,
! [X5,X4,X2] :
( lhs_atom12(X4,X2)
| distinct_points(X2,X5)
| distinct_points(X4,X5) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_17,axiom,
! [X3,X1] :
( lhs_atom3(X3,X1)
| ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_18,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| ~ ( point(X2)
& line(X1) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom20(X1)
| line(reverse_line(X1)) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_20,axiom,
! [X1,X2] :
( lhs_atom24(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_21,axiom,
! [X4,X2] :
( lhs_atom23(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_22,axiom,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom22(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom15(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom13(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_26,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_27,axiom,
! [X1,X5,X4,X2] :
( lhs_atom10(X1,X5,X4,X2)
| ~ ( ( before_on_line(X1,X2,X4)
& before_on_line(X1,X4,X5) )
| ( before_on_line(X1,X5,X4)
& before_on_line(X1,X4,X2) ) ) ),
c_0_0 ).
fof(c_0_28,axiom,
! [X1,X5,X4,X2] :
( lhs_atom9(X1,X5,X4,X2)
| ( before_on_line(X1,X2,X4)
& before_on_line(X1,X4,X5) )
| ( before_on_line(X1,X5,X4)
& before_on_line(X1,X4,X2) ) ),
c_0_1 ).
fof(c_0_29,plain,
! [X1,X4,X2] :
( lhs_atom8(X1,X4,X2)
| ~ ( distinct_points(X2,X4)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X4,X1)
| left_apart_point(X4,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X4)) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_30,plain,
! [X1,X4,X2] :
( lhs_atom7(X1,X4,X2)
| ( distinct_points(X2,X4)
& ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) )
& ~ ( left_apart_point(X4,X1)
| left_apart_point(X4,reverse_line(X1)) )
& ~ unequally_directed_lines(X1,line_connecting(X2,X4)) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_31,axiom,
! [X1,X4,X2] :
( lhs_atom6(X1,X4,X2)
| ~ ( ( left_apart_point(X2,X1)
& left_apart_point(X4,reverse_line(X1)) )
| ( left_apart_point(X2,reverse_line(X1))
& left_apart_point(X4,X1) ) ) ),
c_0_4 ).
fof(c_0_32,axiom,
! [X1,X4,X2] :
( lhs_atom5(X1,X4,X2)
| ( left_apart_point(X2,X1)
& left_apart_point(X4,reverse_line(X1)) )
| ( left_apart_point(X2,reverse_line(X1))
& left_apart_point(X4,X1) ) ),
c_0_5 ).
fof(c_0_33,axiom,
! [X3,X1] :
( lhs_atom18(X3,X1)
| ~ ( line(X1)
& line(X3)
& unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
c_0_6 ).
fof(c_0_34,plain,
! [X4,X2] :
( lhs_atom12(X4,X2)
| ( ~ apart_point_and_line(X2,line_connecting(X2,X4))
& ~ apart_point_and_line(X4,line_connecting(X2,X4)) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_35,axiom,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
c_0_8 ).
fof(c_0_36,axiom,
! [X4,X2] :
( lhs_atom17(X4,X2)
| ~ ( point(X2)
& point(X4)
& distinct_points(X2,X4) ) ),
c_0_9 ).
fof(c_0_37,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) ),
c_0_10 ).
fof(c_0_38,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( left_apart_point(X2,X1)
| left_apart_point(X2,reverse_line(X1)) ) ),
c_0_11 ).
fof(c_0_39,axiom,
! [X6,X3,X1] :
( lhs_atom26(X3,X1)
| unequally_directed_lines(X3,X6)
| left_convergent_lines(X1,X6) ),
c_0_12 ).
fof(c_0_40,axiom,
! [X1,X4,X2] :
( lhs_atom25(X1,X2)
| distinct_points(X2,X4)
| left_apart_point(X4,X1) ),
c_0_13 ).
fof(c_0_41,axiom,
! [X6,X3,X1] :
( lhs_atom16(X3,X1)
| unequally_directed_lines(X1,X6)
| unequally_directed_lines(X3,X6) ),
c_0_14 ).
fof(c_0_42,axiom,
! [X6,X3,X1] :
( lhs_atom14(X3,X1)
| distinct_lines(X1,X6)
| distinct_lines(X3,X6) ),
c_0_15 ).
fof(c_0_43,axiom,
! [X5,X4,X2] :
( lhs_atom12(X4,X2)
| distinct_points(X2,X5)
| distinct_points(X4,X5) ),
c_0_16 ).
fof(c_0_44,axiom,
! [X3,X1] :
( lhs_atom3(X3,X1)
| ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) ) ),
c_0_17 ).
fof(c_0_45,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| ~ ( point(X2)
& line(X1) ) ),
c_0_18 ).
fof(c_0_46,axiom,
! [X1] :
( lhs_atom20(X1)
| line(reverse_line(X1)) ),
c_0_19 ).
fof(c_0_47,plain,
! [X1,X2] : lhs_atom24(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_48,plain,
! [X4,X2] : lhs_atom23(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_49,plain,
! [X1,X2] : lhs_atom21(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_50,plain,
! [X1] : lhs_atom22(X1),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_51,plain,
! [X1] : lhs_atom15(X1),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_52,plain,
! [X1] : lhs_atom13(X1),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_53,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_54,plain,
! [X6,X7,X8,X9] :
( ( ~ before_on_line(X6,X9,X8)
| ~ before_on_line(X6,X8,X7)
| lhs_atom10(X6,X7,X8,X9) )
& ( ~ before_on_line(X6,X7,X8)
| ~ before_on_line(X6,X8,X9)
| lhs_atom10(X6,X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_55,plain,
! [X6,X7,X8,X9] :
( ( before_on_line(X6,X7,X8)
| before_on_line(X6,X9,X8)
| lhs_atom9(X6,X7,X8,X9) )
& ( before_on_line(X6,X8,X9)
| before_on_line(X6,X9,X8)
| lhs_atom9(X6,X7,X8,X9) )
& ( before_on_line(X6,X7,X8)
| before_on_line(X6,X8,X7)
| lhs_atom9(X6,X7,X8,X9) )
& ( before_on_line(X6,X8,X9)
| before_on_line(X6,X8,X7)
| lhs_atom9(X6,X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])]) ).
fof(c_0_56,plain,
! [X5,X6,X7] :
( lhs_atom8(X5,X6,X7)
| ~ distinct_points(X7,X6)
| left_apart_point(X7,X5)
| left_apart_point(X7,reverse_line(X5))
| left_apart_point(X6,X5)
| left_apart_point(X6,reverse_line(X5))
| unequally_directed_lines(X5,line_connecting(X7,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_57,plain,
! [X5,X6,X7] :
( ( distinct_points(X7,X6)
| lhs_atom7(X5,X6,X7) )
& ( ~ left_apart_point(X7,X5)
| lhs_atom7(X5,X6,X7) )
& ( ~ left_apart_point(X7,reverse_line(X5))
| lhs_atom7(X5,X6,X7) )
& ( ~ left_apart_point(X6,X5)
| lhs_atom7(X5,X6,X7) )
& ( ~ left_apart_point(X6,reverse_line(X5))
| lhs_atom7(X5,X6,X7) )
& ( ~ unequally_directed_lines(X5,line_connecting(X7,X6))
| lhs_atom7(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_58,plain,
! [X5,X6,X7] :
( ( ~ left_apart_point(X7,X5)
| ~ left_apart_point(X6,reverse_line(X5))
| lhs_atom6(X5,X6,X7) )
& ( ~ left_apart_point(X7,reverse_line(X5))
| ~ left_apart_point(X6,X5)
| lhs_atom6(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_59,plain,
! [X5,X6,X7] :
( ( left_apart_point(X7,reverse_line(X5))
| left_apart_point(X7,X5)
| lhs_atom5(X5,X6,X7) )
& ( left_apart_point(X6,X5)
| left_apart_point(X7,X5)
| lhs_atom5(X5,X6,X7) )
& ( left_apart_point(X7,reverse_line(X5))
| left_apart_point(X6,reverse_line(X5))
| lhs_atom5(X5,X6,X7) )
& ( left_apart_point(X6,X5)
| left_apart_point(X6,reverse_line(X5))
| lhs_atom5(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_60,plain,
! [X4,X5] :
( lhs_atom18(X4,X5)
| ~ line(X5)
| ~ line(X4)
| ~ unequally_directed_lines(X5,X4)
| ~ unequally_directed_lines(X5,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_61,plain,
! [X5,X6] :
( ( ~ apart_point_and_line(X6,line_connecting(X6,X5))
| lhs_atom12(X5,X6) )
& ( ~ apart_point_and_line(X5,line_connecting(X6,X5))
| lhs_atom12(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
fof(c_0_62,plain,
! [X4,X5] :
( lhs_atom4(X4,X5)
| ~ unequally_directed_lines(X5,X4)
| ~ unequally_directed_lines(X5,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_63,plain,
! [X5,X6] :
( lhs_atom17(X5,X6)
| ~ point(X6)
| ~ point(X5)
| ~ distinct_points(X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_64,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| left_apart_point(X4,X3)
| left_apart_point(X4,reverse_line(X3)) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_65,plain,
! [X3,X4] :
( ( ~ left_apart_point(X4,X3)
| lhs_atom2(X3,X4) )
& ( ~ left_apart_point(X4,reverse_line(X3))
| lhs_atom2(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_66,plain,
! [X7,X8,X9] :
( lhs_atom26(X8,X9)
| unequally_directed_lines(X8,X7)
| left_convergent_lines(X9,X7) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_67,plain,
! [X5,X6,X7] :
( lhs_atom25(X5,X7)
| distinct_points(X7,X6)
| left_apart_point(X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_68,plain,
! [X7,X8,X9] :
( lhs_atom16(X8,X9)
| unequally_directed_lines(X9,X7)
| unequally_directed_lines(X8,X7) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_69,plain,
! [X7,X8,X9] :
( lhs_atom14(X8,X9)
| distinct_lines(X9,X7)
| distinct_lines(X8,X7) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_70,plain,
! [X6,X7,X8] :
( lhs_atom12(X7,X8)
| distinct_points(X8,X6)
| distinct_points(X7,X6) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_71,plain,
! [X4,X5] :
( ( unequally_directed_lines(X5,X4)
| lhs_atom3(X4,X5) )
& ( unequally_directed_lines(X5,reverse_line(X4))
| lhs_atom3(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| ~ point(X4)
| ~ line(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_73,plain,
! [X2] :
( lhs_atom20(X2)
| line(reverse_line(X2)) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_74,plain,
! [X3,X4] : lhs_atom24(X3,X4),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_75,plain,
! [X5,X6] : lhs_atom23(X5,X6),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_76,plain,
! [X3,X4] : lhs_atom21(X3,X4),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_77,plain,
! [X2] : lhs_atom22(X2),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_78,plain,
! [X2] : lhs_atom15(X2),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_79,plain,
! [X2] : lhs_atom13(X2),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_80,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( lhs_atom10(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82,plain,
( lhs_atom10(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_83,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_84,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_86,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,plain,
( unequally_directed_lines(X1,line_connecting(X2,X3))
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,X1)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1)
| lhs_atom8(X1,X3,X2)
| ~ distinct_points(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_88,plain,
( lhs_atom7(X1,X2,X3)
| ~ unequally_directed_lines(X1,line_connecting(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_89,plain,
( lhs_atom6(X1,X2,X3)
| ~ left_apart_point(X2,reverse_line(X1))
| ~ left_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_90,plain,
( lhs_atom6(X1,X2,X3)
| ~ left_apart_point(X2,X1)
| ~ left_apart_point(X3,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_91,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X3,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_92,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_93,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_94,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X3,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_95,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X2,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_96,plain,
( lhs_atom18(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_60]) ).
cnf(c_0_97,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_98,plain,
( lhs_atom12(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_99,plain,
( lhs_atom12(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_100,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_101,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_102,plain,
( lhs_atom4(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_103,plain,
( lhs_atom7(X1,X2,X3)
| distinct_points(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_104,plain,
( lhs_atom17(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_105,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_106,plain,
( lhs_atom2(X1,X2)
| ~ left_apart_point(X2,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_107,plain,
( left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom26(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_108,plain,
( left_apart_point(X1,X2)
| distinct_points(X3,X1)
| lhs_atom25(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_109,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom16(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_110,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom14(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_111,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom12(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_112,plain,
( lhs_atom2(X1,X2)
| ~ left_apart_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_113,plain,
( lhs_atom3(X1,X2)
| unequally_directed_lines(X2,reverse_line(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_114,plain,
( lhs_atom3(X1,X2)
| unequally_directed_lines(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_115,plain,
( lhs_atom19(X1,X2)
| ~ line(X1)
| ~ point(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_116,plain,
( line(reverse_line(X1))
| lhs_atom20(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_117,plain,
lhs_atom24(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_118,plain,
lhs_atom23(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_119,plain,
lhs_atom21(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_120,plain,
lhs_atom22(X1),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_121,plain,
lhs_atom15(X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_122,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_123,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_124,plain,
( lhs_atom10(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X4,X3) ),
c_0_81,
[final] ).
cnf(c_0_125,plain,
( lhs_atom10(X1,X2,X3,X4)
| ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3) ),
c_0_82,
[final] ).
cnf(c_0_126,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
c_0_83,
[final] ).
cnf(c_0_127,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X3,X4) ),
c_0_84,
[final] ).
cnf(c_0_128,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
c_0_85,
[final] ).
cnf(c_0_129,plain,
( lhs_atom9(X1,X2,X3,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X3,X4) ),
c_0_86,
[final] ).
cnf(c_0_130,plain,
( unequally_directed_lines(X1,line_connecting(X2,X3))
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,X1)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1)
| lhs_atom8(X1,X3,X2)
| ~ distinct_points(X2,X3) ),
c_0_87,
[final] ).
cnf(c_0_131,plain,
( lhs_atom7(X1,X2,X3)
| ~ unequally_directed_lines(X1,line_connecting(X3,X2)) ),
c_0_88,
[final] ).
cnf(c_0_132,plain,
( lhs_atom6(X1,X2,X3)
| ~ left_apart_point(X2,reverse_line(X1))
| ~ left_apart_point(X3,X1) ),
c_0_89,
[final] ).
cnf(c_0_133,plain,
( lhs_atom6(X1,X2,X3)
| ~ left_apart_point(X2,X1)
| ~ left_apart_point(X3,reverse_line(X1)) ),
c_0_90,
[final] ).
cnf(c_0_134,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X3,reverse_line(X1)) ),
c_0_91,
[final] ).
cnf(c_0_135,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1)) ),
c_0_92,
[final] ).
cnf(c_0_136,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1) ),
c_0_93,
[final] ).
cnf(c_0_137,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X3,reverse_line(X1)) ),
c_0_94,
[final] ).
cnf(c_0_138,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X2,reverse_line(X1)) ),
c_0_95,
[final] ).
cnf(c_0_139,plain,
( lhs_atom18(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
c_0_96,
[final] ).
cnf(c_0_140,plain,
( lhs_atom5(X1,X2,X3)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
c_0_97,
[final] ).
cnf(c_0_141,plain,
( lhs_atom12(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
c_0_98,
[final] ).
cnf(c_0_142,plain,
( lhs_atom12(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
c_0_99,
[final] ).
cnf(c_0_143,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X3,X1) ),
c_0_100,
[final] ).
cnf(c_0_144,plain,
( lhs_atom7(X1,X2,X3)
| ~ left_apart_point(X2,X1) ),
c_0_101,
[final] ).
cnf(c_0_145,plain,
( lhs_atom4(X2,X1)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
c_0_102,
[final] ).
cnf(c_0_146,plain,
( lhs_atom7(X1,X2,X3)
| distinct_points(X3,X2) ),
c_0_103,
[final] ).
cnf(c_0_147,plain,
( lhs_atom17(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
c_0_104,
[final] ).
cnf(c_0_148,plain,
( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_105,
[final] ).
cnf(c_0_149,plain,
( lhs_atom2(X1,X2)
| ~ left_apart_point(X2,reverse_line(X1)) ),
c_0_106,
[final] ).
cnf(c_0_150,plain,
( left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom26(X3,X1) ),
c_0_107,
[final] ).
cnf(c_0_151,plain,
( left_apart_point(X1,X2)
| distinct_points(X3,X1)
| lhs_atom25(X2,X3) ),
c_0_108,
[final] ).
cnf(c_0_152,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| lhs_atom16(X1,X3) ),
c_0_109,
[final] ).
cnf(c_0_153,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom14(X1,X3) ),
c_0_110,
[final] ).
cnf(c_0_154,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom12(X1,X3) ),
c_0_111,
[final] ).
cnf(c_0_155,plain,
( lhs_atom2(X1,X2)
| ~ left_apart_point(X2,X1) ),
c_0_112,
[final] ).
cnf(c_0_156,plain,
( lhs_atom3(X1,X2)
| unequally_directed_lines(X2,reverse_line(X1)) ),
c_0_113,
[final] ).
cnf(c_0_157,plain,
( lhs_atom3(X1,X2)
| unequally_directed_lines(X2,X1) ),
c_0_114,
[final] ).
cnf(c_0_158,plain,
( lhs_atom19(X1,X2)
| ~ line(X1)
| ~ point(X2) ),
c_0_115,
[final] ).
cnf(c_0_159,plain,
( line(reverse_line(X1))
| lhs_atom20(X1) ),
c_0_116,
[final] ).
cnf(c_0_160,plain,
lhs_atom24(X1,X2),
c_0_117,
[final] ).
cnf(c_0_161,plain,
lhs_atom23(X1,X2),
c_0_118,
[final] ).
cnf(c_0_162,plain,
lhs_atom21(X1,X2),
c_0_119,
[final] ).
cnf(c_0_163,plain,
lhs_atom22(X1),
c_0_120,
[final] ).
cnf(c_0_164,plain,
lhs_atom15(X1),
c_0_121,
[final] ).
cnf(c_0_165,plain,
lhs_atom13(X1),
c_0_122,
[final] ).
cnf(c_0_166,plain,
lhs_atom11(X1),
c_0_123,
[final] ).
% End CNF derivation
cnf(c_0_124_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_124,def_lhs_atom10]) ).
cnf(c_0_125_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_125,def_lhs_atom10]) ).
cnf(c_0_126_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_126,def_lhs_atom9]) ).
cnf(c_0_127_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_127,def_lhs_atom9]) ).
cnf(c_0_128_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_128,def_lhs_atom9]) ).
cnf(c_0_129_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_129,def_lhs_atom9]) ).
cnf(c_0_130_0,axiom,
( before_on_line(X1,X2,X3)
| unequally_directed_lines(X1,line_connecting(X2,X3))
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,X1)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1)
| ~ distinct_points(X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom8]) ).
cnf(c_0_131_0,axiom,
( ~ before_on_line(X1,X3,X2)
| ~ unequally_directed_lines(X1,line_connecting(X3,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom7]) ).
cnf(c_0_132_0,axiom,
( divides_points(X1,X3,X2)
| ~ left_apart_point(X2,reverse_line(X1))
| ~ left_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom6]) ).
cnf(c_0_133_0,axiom,
( divides_points(X1,X3,X2)
| ~ left_apart_point(X2,X1)
| ~ left_apart_point(X3,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom6]) ).
cnf(c_0_134_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X3,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom5]) ).
cnf(c_0_135_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X3,X1)
| left_apart_point(X3,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom5]) ).
cnf(c_0_136_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom5]) ).
cnf(c_0_137_0,axiom,
( ~ before_on_line(X1,X3,X2)
| ~ left_apart_point(X3,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom7]) ).
cnf(c_0_138_0,axiom,
( ~ before_on_line(X1,X3,X2)
| ~ left_apart_point(X2,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom7]) ).
cnf(c_0_139_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_139,def_lhs_atom18]) ).
cnf(c_0_140_0,axiom,
( ~ divides_points(X1,X3,X2)
| left_apart_point(X3,X1)
| left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom5]) ).
cnf(c_0_141_0,axiom,
( ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom12]) ).
cnf(c_0_142_0,axiom,
( ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom12]) ).
cnf(c_0_143_0,axiom,
( ~ before_on_line(X1,X3,X2)
| ~ left_apart_point(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom7]) ).
cnf(c_0_144_0,axiom,
( ~ before_on_line(X1,X3,X2)
| ~ left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom7]) ).
cnf(c_0_145_0,axiom,
( convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom4]) ).
cnf(c_0_146_0,axiom,
( ~ before_on_line(X1,X3,X2)
| distinct_points(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom7]) ).
cnf(c_0_147_0,axiom,
( line(line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom17]) ).
cnf(c_0_148_0,axiom,
( ~ apart_point_and_line(X1,X2)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom1]) ).
cnf(c_0_149_0,axiom,
( apart_point_and_line(X2,X1)
| ~ left_apart_point(X2,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom2]) ).
cnf(c_0_150_0,axiom,
( ~ left_convergent_lines(X1,X3)
| left_convergent_lines(X1,X2)
| unequally_directed_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom26]) ).
cnf(c_0_151_0,axiom,
( ~ left_apart_point(X3,X2)
| left_apart_point(X1,X2)
| distinct_points(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom25]) ).
cnf(c_0_152_0,axiom,
( ~ unequally_directed_lines(X3,X1)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom16]) ).
cnf(c_0_153_0,axiom,
( ~ distinct_lines(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom14]) ).
cnf(c_0_154_0,axiom,
( ~ distinct_points(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom12]) ).
cnf(c_0_155_0,axiom,
( apart_point_and_line(X2,X1)
| ~ left_apart_point(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom2]) ).
cnf(c_0_156_0,axiom,
( ~ convergent_lines(X2,X1)
| unequally_directed_lines(X2,reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom3]) ).
cnf(c_0_157_0,axiom,
( ~ convergent_lines(X2,X1)
| unequally_directed_lines(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom3]) ).
cnf(c_0_158_0,axiom,
( line(parallel_through_point(X1,X2))
| ~ line(X1)
| ~ point(X2) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom19]) ).
cnf(c_0_159_0,axiom,
( ~ line(X1)
| line(reverse_line(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom20]) ).
cnf(c_0_160_0,axiom,
~ unequally_directed_lines(parallel_through_point(X1,X2),X1),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom24]) ).
cnf(c_0_161_0,axiom,
~ unequally_directed_lines(line_connecting(X2,X1),reverse_line(line_connecting(X1,X2))),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom23]) ).
cnf(c_0_162_0,axiom,
~ apart_point_and_line(X2,parallel_through_point(X1,X2)),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom21]) ).
cnf(c_0_163_0,axiom,
~ distinct_lines(X1,reverse_line(X1)),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom22]) ).
cnf(c_0_164_0,axiom,
~ unequally_directed_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom15]) ).
cnf(c_0_165_0,axiom,
~ distinct_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom13]) ).
cnf(c_0_166_0,axiom,
~ distinct_points(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom11]) ).
% 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>',oaguc1) ).
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>',oagco6) ).
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>',oaguc2) ).
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>',oag7) ).
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>',oag9) ).
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>',oagsub2) ).
fof(c_0_6_007,axiom,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('<stdin>',oag8) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('<stdin>',oag10) ).
fof(c_0_8_009,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('<stdin>',oag11) ).
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] :
( ( line(X2)
& line(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] :
( ~ line(X4)
| ~ line(X5)
| unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[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)
| ~ line(X2)
| ~ line(X1) ),
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)
| ~ line(X2)
| ~ line(X1) ),
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)
| ~ line(X2)
| ~ line(X1) ),
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))
| ~ line(X2)
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_2,axiom,
( ~ line(X2)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_3,axiom,
( ~ line(X1)
| ~ line(X2)
| 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] :
( ( ~ apart_point_and_line(X1,X3)
& distinct_points(X1,X2)
& left_convergent_lines(X3,reverse_line(line_connecting(X1,X2))) )
=> left_apart_point(X2,reverse_line(X3)) ),
file('<stdin>',con) ).
fof(c_0_1_059,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X3)
& distinct_points(X1,X2)
& left_convergent_lines(X3,reverse_line(line_connecting(X1,X2))) )
=> left_apart_point(X2,reverse_line(X3)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_060,negated_conjecture,
( ~ apart_point_and_line(esk1_0,esk3_0)
& distinct_points(esk1_0,esk2_0)
& left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0)))
& ~ left_apart_point(esk2_0,reverse_line(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_061,negated_conjecture,
left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_062,negated_conjecture,
~ left_apart_point(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_063,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_064,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_065,negated_conjecture,
left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0))),
c_0_3,
[final] ).
cnf(c_0_8_066,negated_conjecture,
~ left_apart_point(esk2_0,reverse_line(esk3_0)),
c_0_4,
[final] ).
cnf(c_0_9_067,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
c_0_5,
[final] ).
cnf(c_0_10_068,negated_conjecture,
distinct_points(esk1_0,esk2_0),
c_0_6,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_97,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
file('/export/starexec/sandbox/tmp/iprover_modulo_c25b35.p',c_0_7) ).
cnf(c_136,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
inference(copy,[status(esa)],[c_97]) ).
cnf(c_150,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_153,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
inference(copy,[status(esa)],[c_150]) ).
cnf(c_157,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_451,negated_conjecture,
left_convergent_lines(sk3_esk3_0,reverse_line(line_connecting(sk3_esk1_0,sk3_esk2_0))),
inference(copy,[status(esa)],[c_157]) ).
cnf(c_49,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
file('/export/starexec/sandbox/tmp/iprover_modulo_c25b35.p',c_0_54_0) ).
cnf(c_357,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_468,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_451,c_357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.14 % Command : iprover_modulo %s %d
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 00:10:43 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running in mono-core mode
% 0.22/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.44 % FOF problem with conjecture
% 0.22/0.44 % 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/sandbox/tmp/iprover_proof_89f062.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c25b35.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_09f10e | grep -v "SZS"
% 0.22/0.46
% 0.22/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ iProver source info
% 0.22/0.46
% 0.22/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.46 % git: non_committed_changes: true
% 0.22/0.46 % git: last_make_outside_of_git: true
% 0.22/0.46
% 0.22/0.46 %
% 0.22/0.46 % ------ Input Options
% 0.22/0.46
% 0.22/0.46 % --out_options all
% 0.22/0.46 % --tptp_safe_out true
% 0.22/0.46 % --problem_path ""
% 0.22/0.46 % --include_path ""
% 0.22/0.46 % --clausifier .//eprover
% 0.22/0.46 % --clausifier_options --tstp-format
% 0.22/0.46 % --stdin false
% 0.22/0.46 % --dbg_backtrace false
% 0.22/0.46 % --dbg_dump_prop_clauses false
% 0.22/0.46 % --dbg_dump_prop_clauses_file -
% 0.22/0.46 % --dbg_out_stat false
% 0.22/0.46
% 0.22/0.46 % ------ General Options
% 0.22/0.46
% 0.22/0.46 % --fof false
% 0.22/0.46 % --time_out_real 150.
% 0.22/0.46 % --time_out_prep_mult 0.2
% 0.22/0.46 % --time_out_virtual -1.
% 0.22/0.46 % --schedule none
% 0.22/0.46 % --ground_splitting input
% 0.22/0.46 % --splitting_nvd 16
% 0.22/0.46 % --non_eq_to_eq false
% 0.22/0.46 % --prep_gs_sim true
% 0.22/0.46 % --prep_unflatten false
% 0.22/0.46 % --prep_res_sim true
% 0.22/0.46 % --prep_upred true
% 0.22/0.46 % --res_sim_input true
% 0.22/0.46 % --clause_weak_htbl true
% 0.22/0.46 % --gc_record_bc_elim false
% 0.22/0.46 % --symbol_type_check false
% 0.22/0.46 % --clausify_out false
% 0.22/0.46 % --large_theory_mode false
% 0.22/0.46 % --prep_sem_filter none
% 0.22/0.46 % --prep_sem_filter_out false
% 0.22/0.46 % --preprocessed_out false
% 0.22/0.46 % --sub_typing false
% 0.22/0.46 % --brand_transform false
% 0.22/0.46 % --pure_diseq_elim true
% 0.22/0.46 % --min_unsat_core false
% 0.22/0.46 % --pred_elim true
% 0.22/0.46 % --add_important_lit false
% 0.22/0.46 % --soft_assumptions false
% 0.22/0.46 % --reset_solvers false
% 0.22/0.46 % --bc_imp_inh []
% 0.22/0.46 % --conj_cone_tolerance 1.5
% 0.22/0.46 % --prolific_symb_bound 500
% 0.22/0.46 % --lt_threshold 2000
% 0.22/0.46
% 0.22/0.46 % ------ SAT Options
% 0.22/0.46
% 0.22/0.46 % --sat_mode false
% 0.22/0.46 % --sat_fm_restart_options ""
% 0.22/0.46 % --sat_gr_def false
% 0.22/0.46 % --sat_epr_types true
% 0.22/0.46 % --sat_non_cyclic_types false
% 0.22/0.46 % --sat_finite_models false
% 0.22/0.46 % --sat_fm_lemmas false
% 0.22/0.46 % --sat_fm_prep false
% 0.22/0.46 % --sat_fm_uc_incr true
% 0.22/0.46 % --sat_out_model small
% 0.22/0.46 % --sat_out_clauses false
% 0.22/0.46
% 0.22/0.46 % ------ QBF Options
% 0.22/0.46
% 0.22/0.46 % --qbf_mode false
% 0.22/0.46 % --qbf_elim_univ true
% 0.22/0.46 % --qbf_sk_in true
% 0.22/0.46 % --qbf_pred_elim true
% 0.22/0.46 % --qbf_split 32
% 0.22/0.46
% 0.22/0.46 % ------ BMC1 Options
% 0.22/0.46
% 0.22/0.46 % --bmc1_incremental false
% 0.22/0.46 % --bmc1_axioms reachable_all
% 0.22/0.46 % --bmc1_min_bound 0
% 0.22/0.46 % --bmc1_max_bound -1
% 0.22/0.46 % --bmc1_max_bound_default -1
% 0.22/0.46 % --bmc1_symbol_reachability true
% 0.22/0.46 % --bmc1_property_lemmas false
% 0.22/0.46 % --bmc1_k_induction false
% 0.22/0.46 % --bmc1_non_equiv_states false
% 0.22/0.46 % --bmc1_deadlock false
% 0.22/0.46 % --bmc1_ucm false
% 0.22/0.46 % --bmc1_add_unsat_core none
% 0.22/0.46 % --bmc1_unsat_core_children false
% 0.22/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.46 % --bmc1_out_stat full
% 0.22/0.46 % --bmc1_ground_init false
% 0.22/0.46 % --bmc1_pre_inst_next_state false
% 0.22/0.46 % --bmc1_pre_inst_state false
% 0.22/0.46 % --bmc1_pre_inst_reach_state false
% 0.22/0.46 % --bmc1_out_unsat_core false
% 0.22/0.46 % --bmc1_aig_witness_out false
% 0.22/0.46 % --bmc1_verbose false
% 0.22/0.46 % --bmc1_dump_clauses_tptp false
% 0.22/0.48 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.48 % --bmc1_dump_file -
% 0.22/0.48 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.48 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.48 % --bmc1_ucm_extend_mode 1
% 0.22/0.48 % --bmc1_ucm_init_mode 2
% 0.22/0.48 % --bmc1_ucm_cone_mode none
% 0.22/0.48 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.48 % --bmc1_ucm_relax_model 4
% 0.22/0.48 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.48 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.48 % --bmc1_ucm_layered_model none
% 0.22/0.48 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.48
% 0.22/0.48 % ------ AIG Options
% 0.22/0.48
% 0.22/0.48 % --aig_mode false
% 0.22/0.48
% 0.22/0.48 % ------ Instantiation Options
% 0.22/0.48
% 0.22/0.48 % --instantiation_flag true
% 0.22/0.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.48 % --inst_solver_per_active 750
% 0.22/0.48 % --inst_solver_calls_frac 0.5
% 0.22/0.48 % --inst_passive_queue_type priority_queues
% 0.22/0.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.48 % --inst_passive_queues_freq [25;2]
% 0.22/0.48 % --inst_dismatching true
% 0.22/0.48 % --inst_eager_unprocessed_to_passive true
% 0.22/0.48 % --inst_prop_sim_given true
% 0.22/0.48 % --inst_prop_sim_new false
% 0.22/0.48 % --inst_orphan_elimination true
% 0.22/0.48 % --inst_learning_loop_flag true
% 0.22/0.48 % --inst_learning_start 3000
% 0.22/0.48 % --inst_learning_factor 2
% 0.22/0.48 % --inst_start_prop_sim_after_learn 3
% 0.22/0.48 % --inst_sel_renew solver
% 0.22/0.48 % --inst_lit_activity_flag true
% 0.22/0.48 % --inst_out_proof true
% 0.22/0.48
% 0.22/0.48 % ------ Resolution Options
% 0.22/0.48
% 0.22/0.48 % --resolution_flag true
% 0.22/0.48 % --res_lit_sel kbo_max
% 0.22/0.48 % --res_to_prop_solver none
% 0.22/0.48 % --res_prop_simpl_new false
% 0.22/0.48 % --res_prop_simpl_given false
% 0.22/0.48 % --res_passive_queue_type priority_queues
% 0.22/0.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.48 % --res_passive_queues_freq [15;5]
% 0.22/0.48 % --res_forward_subs full
% 0.22/0.48 % --res_backward_subs full
% 0.22/0.48 % --res_forward_subs_resolution true
% 0.22/0.48 % --res_backward_subs_resolution true
% 0.22/0.48 % --res_orphan_elimination false
% 0.22/0.48 % --res_time_limit 1000.
% 0.22/0.48 % --res_out_proof true
% 0.22/0.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_89f062.s
% 0.22/0.48 % --modulo true
% 0.22/0.48
% 0.22/0.48 % ------ Combination Options
% 0.22/0.48
% 0.22/0.48 % --comb_res_mult 1000
% 0.22/0.48 % --comb_inst_mult 300
% 0.22/0.48 % ------
% 0.22/0.48
% 0.22/0.48 % ------ Parsing...% successful
% 0.22/0.48
% 0.22/0.48 % ------ 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 %
% 0.22/0.48
% 0.22/0.48 % ------ Proving...
% 0.22/0.48 % ------ Problem Properties
% 0.22/0.48
% 0.22/0.48 %
% 0.22/0.48 % EPR false
% 0.22/0.48 % Horn false
% 0.22/0.48 % Has equality false
% 0.22/0.48
% 0.22/0.48 % % ------ Input Options Time Limit: Unbounded
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % % ------ Current options:
% 0.22/0.48
% 0.22/0.48 % ------ Input Options
% 0.22/0.48
% 0.22/0.48 % --out_options all
% 0.22/0.48 % --tptp_safe_out true
% 0.22/0.48 % --problem_path ""
% 0.22/0.48 % --include_path ""
% 0.22/0.48 % --clausifier .//eprover
% 0.22/0.48 % --clausifier_options --tstp-format
% 0.22/0.48 % --stdin false
% 0.22/0.48 % --dbg_backtrace false
% 0.22/0.48 % --dbg_dump_prop_clauses false
% 0.22/0.48 % --dbg_dump_prop_clauses_file -
% 0.22/0.48 % --dbg_out_stat false
% 0.22/0.48
% 0.22/0.48 % ------ General Options
% 0.22/0.48
% 0.22/0.48 % --fof false
% 0.22/0.48 % --time_out_real 150.
% 0.22/0.48 % --time_out_prep_mult 0.2
% 0.22/0.48 % --time_out_virtual -1.
% 0.22/0.48 % --schedule none
% 0.22/0.48 % --ground_splitting input
% 0.22/0.48 % --splitting_nvd 16
% 0.22/0.48 % --non_eq_to_eq false
% 0.22/0.48 % --prep_gs_sim true
% 0.22/0.48 % --prep_unflatten false
% 0.22/0.48 % --prep_res_sim true
% 0.22/0.48 % --prep_upred true
% 0.22/0.48 % --res_sim_input true
% 0.22/0.48 % --clause_weak_htbl true
% 0.22/0.48 % --gc_record_bc_elim false
% 0.22/0.48 % --symbol_type_check false
% 0.22/0.48 % --clausify_out false
% 0.22/0.48 % --large_theory_mode false
% 0.22/0.48 % --prep_sem_filter none
% 0.22/0.48 % --prep_sem_filter_out false
% 0.22/0.48 % --preprocessed_out false
% 0.22/0.48 % --sub_typing false
% 0.22/0.48 % --brand_transform false
% 0.22/0.48 % --pure_diseq_elim true
% 0.22/0.48 % --min_unsat_core false
% 0.22/0.48 % --pred_elim true
% 0.22/0.48 % --add_important_lit false
% 0.22/0.48 % --soft_assumptions false
% 0.22/0.48 % --reset_solvers false
% 0.22/0.48 % --bc_imp_inh []
% 0.22/0.48 % --conj_cone_tolerance 1.5
% 0.22/0.48 % --prolific_symb_bound 500
% 0.22/0.48 % --lt_threshold 2000
% 0.22/0.48
% 0.22/0.48 % ------ SAT Options
% 0.22/0.48
% 0.22/0.48 % --sat_mode false
% 0.22/0.48 % --sat_fm_restart_options ""
% 0.22/0.48 % --sat_gr_def false
% 0.22/0.48 % --sat_epr_types true
% 0.22/0.48 % --sat_non_cyclic_types false
% 0.22/0.48 % --sat_finite_models false
% 0.22/0.48 % --sat_fm_lemmas false
% 0.22/0.48 % --sat_fm_prep false
% 0.22/0.48 % --sat_fm_uc_incr true
% 0.22/0.48 % --sat_out_model small
% 0.22/0.48 % --sat_out_clauses false
% 0.22/0.48
% 0.22/0.48 % ------ QBF Options
% 0.22/0.48
% 0.22/0.48 % --qbf_mode false
% 0.22/0.48 % --qbf_elim_univ true
% 0.22/0.48 % --qbf_sk_in true
% 0.22/0.48 % --qbf_pred_elim true
% 0.22/0.48 % --qbf_split 32
% 0.22/0.48
% 0.22/0.48 % ------ BMC1 Options
% 0.22/0.48
% 0.22/0.48 % --bmc1_incremental false
% 0.22/0.48 % --bmc1_axioms reachable_all
% 0.22/0.48 % --bmc1_min_bound 0
% 0.22/0.48 % --bmc1_max_bound -1
% 0.22/0.48 % --bmc1_max_bound_default -1
% 0.22/0.48 % --bmc1_symbol_reachability true
% 0.22/0.48 % --bmc1_property_lemmas false
% 0.22/0.48 % --bmc1_k_induction false
% 0.22/0.48 % --bmc1_non_equiv_states false
% 0.22/0.48 % --bmc1_deadlock false
% 0.22/0.48 % --bmc1_ucm false
% 0.22/0.48 % --bmc1_add_unsat_core none
% 0.22/0.48 % --bmc1_unsat_core_children false
% 0.22/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.48 % --bmc1_out_stat full
% 0.22/0.48 % --bmc1_ground_init false
% 0.22/0.48 % --bmc1_pre_inst_next_state false
% 0.22/0.48 % --bmc1_pre_inst_state false
% 0.22/0.48 % --bmc1_pre_inst_reach_state false
% 0.22/0.48 % --bmc1_out_unsat_core false
% 0.22/0.48 % --bmc1_aig_witness_out false
% 0.22/0.48 % --bmc1_verbose false
% 0.22/0.48 % --bmc1_dump_clauses_tptp false
% 0.22/0.48 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.48 % --bmc1_dump_file -
% 0.22/0.48 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.48 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.48 % --bmc1_ucm_extend_mode 1
% 0.22/0.48 % --bmc1_ucm_init_mode 2
% 0.22/0.48 % --bmc1_ucm_cone_mode none
% 0.22/0.48 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.48 % --bmc1_ucm_relax_model 4
% 0.22/0.48 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.48 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.48 % --bmc1_ucm_layered_model none
% 0.22/0.48 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.48
% 0.22/0.48 % ------ AIG Options
% 0.22/0.48
% 0.22/0.48 % --aig_mode false
% 0.22/0.48
% 0.22/0.48 % ------ Instantiation Options
% 0.22/0.48
% 0.22/0.48 % --instantiation_flag true
% 0.22/0.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.48 % --inst_solver_per_active 750
% 0.22/0.48 % --inst_solver_calls_frac 0.5
% 0.22/0.48 % --inst_passive_queue_type priority_queues
% 0.22/0.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.48 % --inst_passive_queues_freq [25;2]
% 0.22/0.48 % --inst_dismatching true
% 0.22/0.48 % --inst_eager_unprocessed_to_passive true
% 0.22/0.48 % --inst_prop_sim_given true
% 0.22/0.48 % --inst_prop_sim_new false
% 0.22/0.48 % --inst_orphan_elimination true
% 0.22/0.48 % --inst_learning_loop_flag true
% 0.22/0.48 % --inst_learning_start 3000
% 0.22/0.48 % --inst_learning_factor 2
% 0.22/0.48 % --inst_start_prop_sim_after_learn 3
% 0.22/0.48 % --inst_sel_renew solver
% 0.22/0.48 % --inst_lit_activity_flag true
% 0.22/0.48 % --inst_out_proof true
% 0.22/0.48
% 0.22/0.48 % ------ Resolution Options
% 0.22/0.48
% 0.22/0.48 % --resolution_flag true
% 0.22/0.48 % --res_lit_sel kbo_max
% 0.22/0.48 % --res_to_prop_solver none
% 0.22/0.48 % --res_prop_simpl_new false
% 0.22/0.48 % --res_prop_simpl_given false
% 0.22/0.48 % --res_passive_queue_type priority_queues
% 0.22/0.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.48 % --res_passive_queues_freq [15;5]
% 0.22/0.48 % --res_forward_subs full
% 0.22/0.48 % --res_backward_subs full
% 0.22/0.48 % --res_forward_subs_resolution true
% 0.22/0.48 % --res_backward_subs_resolution true
% 0.22/0.48 % --res_orphan_elimination false
% 0.22/0.48 % --res_time_limit 1000.
% 0.22/0.48 % --res_out_proof true
% 0.22/0.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_89f062.s
% 0.22/0.48 % --modulo true
% 0.22/0.48
% 0.22/0.48 % ------ Combination Options
% 0.22/0.48
% 0.22/0.48 % --comb_res_mult 1000
% 0.22/0.48 % --comb_inst_mult 300
% 0.22/0.48 % ------
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % ------ Proving...
% 0.22/0.48 %
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % Resolution empty clause
% 0.22/0.48
% 0.22/0.48 % ------ Statistics
% 0.22/0.48
% 0.22/0.48 % ------ General
% 0.22/0.48
% 0.22/0.48 % num_of_input_clauses: 99
% 0.22/0.48 % num_of_input_neg_conjectures: 4
% 0.22/0.48 % num_of_splits: 0
% 0.22/0.48 % num_of_split_atoms: 0
% 0.22/0.48 % num_of_sem_filtered_clauses: 0
% 0.22/0.48 % num_of_subtypes: 0
% 0.22/0.48 % monotx_restored_types: 0
% 0.22/0.48 % sat_num_of_epr_types: 0
% 0.22/0.48 % sat_num_of_non_cyclic_types: 0
% 0.22/0.48 % sat_guarded_non_collapsed_types: 0
% 0.22/0.48 % is_epr: 0
% 0.22/0.48 % is_horn: 0
% 0.22/0.48 % has_eq: 0
% 0.22/0.48 % num_pure_diseq_elim: 0
% 0.22/0.48 % simp_replaced_by: 0
% 0.22/0.48 % res_preprocessed: 8
% 0.22/0.48 % prep_upred: 0
% 0.22/0.48 % prep_unflattend: 0
% 0.22/0.48 % pred_elim_cands: 0
% 0.22/0.48 % pred_elim: 0
% 0.22/0.48 % pred_elim_cl: 0
% 0.22/0.48 % pred_elim_cycles: 0
% 0.22/0.48 % forced_gc_time: 0
% 0.22/0.48 % gc_basic_clause_elim: 0
% 0.22/0.48 % parsing_time: 0.004
% 0.22/0.48 % sem_filter_time: 0.
% 0.22/0.48 % pred_elim_time: 0.
% 0.22/0.48 % out_proof_time: 0.
% 0.22/0.48 % monotx_time: 0.
% 0.22/0.48 % subtype_inf_time: 0.
% 0.22/0.48 % unif_index_cands_time: 0.
% 0.22/0.48 % unif_index_add_time: 0.
% 0.22/0.48 % total_time: 0.029
% 0.22/0.48 % num_of_symbols: 44
% 0.22/0.48 % num_of_terms: 269
% 0.22/0.48
% 0.22/0.48 % ------ Propositional Solver
% 0.22/0.48
% 0.22/0.48 % prop_solver_calls: 1
% 0.22/0.48 % prop_fast_solver_calls: 12
% 0.22/0.48 % prop_num_of_clauses: 101
% 0.22/0.48 % prop_preprocess_simplified: 319
% 0.22/0.48 % prop_fo_subsumed: 0
% 0.22/0.48 % prop_solver_time: 0.
% 0.22/0.48 % prop_fast_solver_time: 0.
% 0.22/0.48 % prop_unsat_core_time: 0.
% 0.22/0.48
% 0.22/0.48 % ------ QBF
% 0.22/0.48
% 0.22/0.48 % qbf_q_res: 0
% 0.22/0.48 % qbf_num_tautologies: 0
% 0.22/0.48 % qbf_prep_cycles: 0
% 0.22/0.48
% 0.22/0.48 % ------ BMC1
% 0.22/0.48
% 0.22/0.48 % bmc1_current_bound: -1
% 0.22/0.48 % bmc1_last_solved_bound: -1
% 0.22/0.48 % bmc1_unsat_core_size: -1
% 0.22/0.48 % bmc1_unsat_core_parents_size: -1
% 0.22/0.48 % bmc1_merge_next_fun: 0
% 0.22/0.48 % bmc1_unsat_core_clauses_time: 0.
% 0.22/0.48
% 0.22/0.48 % ------ Instantiation
% 0.22/0.48
% 0.22/0.48 % inst_num_of_clauses: 99
% 0.22/0.48 % inst_num_in_passive: 0
% 0.22/0.48 % inst_num_in_active: 0
% 0.22/0.48 % inst_num_in_unprocessed: 99
% 0.22/0.48 % inst_num_of_loops: 0
% 0.22/0.48 % inst_num_of_learning_restarts: 0
% 0.22/0.48 % inst_num_moves_active_passive: 0
% 0.22/0.48 % inst_lit_activity: 0
% 0.22/0.48 % inst_lit_activity_moves: 0
% 0.22/0.48 % inst_num_tautologies: 0
% 0.22/0.48 % inst_num_prop_implied: 0
% 0.22/0.48 % inst_num_existing_simplified: 0
% 0.22/0.48 % inst_num_eq_res_simplified: 0
% 0.22/0.48 % inst_num_child_elim: 0
% 0.22/0.48 % inst_num_of_dismatching_blockings: 0
% 0.22/0.48 % inst_num_of_non_proper_insts: 0
% 0.22/0.48 % inst_num_of_duplicates: 0
% 0.22/0.48 % inst_inst_num_from_inst_to_res: 0
% 0.22/0.48 % inst_dismatching_checking_time: 0.
% 0.22/0.48
% 0.22/0.48 % ------ Resolution
% 0.22/0.48
% 0.22/0.48 % res_num_of_clauses: 132
% 0.22/0.48 % res_num_in_passive: 3
% 0.22/0.48 % res_num_in_active: 67
% 0.22/0.48 % res_num_of_loops: 4
% 0.22/0.48 % res_forward_subset_subsumed: 29
% 0.22/0.48 % res_backward_subset_subsumed: 1
% 0.22/0.48 % res_forward_subsumed: 1
% 0.22/0.48 % res_backward_subsumed: 0
% 0.22/0.48 % res_forward_subsumption_resolution: 1
% 0.22/0.48 % res_backward_subsumption_resolution: 0
% 0.22/0.48 % res_clause_to_clause_subsumption: 3
% 0.22/0.48 % res_orphan_elimination: 0
% 0.22/0.48 % res_tautology_del: 0
% 0.22/0.48 % res_num_eq_res_simplified: 0
% 0.22/0.48 % res_num_sel_changes: 0
% 0.22/0.48 % res_moves_from_active_to_pass: 0
% 0.22/0.48
% 0.22/0.48 % Status Unsatisfiable
% 0.22/0.48 % SZS status Theorem
% 0.22/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------