TSTP Solution File: GEO196+3 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n003.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 04:41:46 EDT 2022
% Result : Theorem 3.62s 3.80s
% Output : CNFRefutation 3.62s
% 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(a5,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
input ).
fof(a5_0,plain,
! [X,Y] :
( orthogonal_lines(X,Y)
| unorthogonal_lines(X,Y) ),
inference(orientation,[status(thm)],[a5]) ).
fof(a5_1,plain,
! [X,Y] :
( ~ orthogonal_lines(X,Y)
| ~ unorthogonal_lines(X,Y) ),
inference(orientation,[status(thm)],[a5]) ).
fof(a4,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
input ).
fof(a4_0,plain,
! [X,Y] :
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ),
inference(orientation,[status(thm)],[a4]) ).
fof(a4_1,plain,
! [X,Y] :
( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) ),
inference(orientation,[status(thm)],[a4]) ).
fof(a3,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
input ).
fof(a3_0,plain,
! [X,Y] :
( parallel_lines(X,Y)
| convergent_lines(X,Y) ),
inference(orientation,[status(thm)],[a3]) ).
fof(a3_1,plain,
! [X,Y] :
( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) ),
inference(orientation,[status(thm)],[a3]) ).
fof(ax2,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
input ).
fof(ax2_0,plain,
! [X,Y] :
( equal_lines(X,Y)
| distinct_lines(X,Y) ),
inference(orientation,[status(thm)],[ax2]) ).
fof(ax2_1,plain,
! [X,Y] :
( ~ equal_lines(X,Y)
| ~ distinct_lines(X,Y) ),
inference(orientation,[status(thm)],[ax2]) ).
fof(ax1,axiom,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
input ).
fof(ax1_0,plain,
! [X,Y] :
( equal_points(X,Y)
| distinct_points(X,Y) ),
inference(orientation,[status(thm)],[ax1]) ).
fof(ax1_1,plain,
! [X,Y] :
( ~ equal_points(X,Y)
| ~ distinct_points(X,Y) ),
inference(orientation,[status(thm)],[ax1]) ).
fof(orth1,axiom,
! [L,A] :
( ( line(L)
& point(A) )
=> line(orthogonal_through_point(L,A)) ),
input ).
fof(orth1_0,plain,
! [A,L] :
( line(orthogonal_through_point(L,A))
| ~ ( line(L)
& point(A) ) ),
inference(orientation,[status(thm)],[orth1]) ).
fof(par1,axiom,
! [L,A] :
( ( line(L)
& point(A) )
=> line(parallel_through_point(L,A)) ),
input ).
fof(par1_0,plain,
! [A,L] :
( line(parallel_through_point(L,A))
| ~ ( line(L)
& point(A) ) ),
inference(orientation,[status(thm)],[par1]) ).
fof(int1,axiom,
! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> point(intersection_point(L,M)) ),
input ).
fof(int1_0,plain,
! [L,M] :
( point(intersection_point(L,M))
| ~ ( line(L)
& line(M)
& convergent_lines(L,M) ) ),
inference(orientation,[status(thm)],[int1]) ).
fof(con1,axiom,
! [A,B] :
( ( point(A)
& point(B)
& distinct_points(A,B) )
=> line(line_connecting(A,B)) ),
input ).
fof(con1_0,plain,
! [A,B] :
( line(line_connecting(A,B))
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(orientation,[status(thm)],[con1]) ).
fof(couo1,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
input ).
fof(couo1_0,plain,
! [L,M,N] :
( ~ convergent_lines(M,N)
| ~ ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) ) ),
inference(orientation,[status(thm)],[couo1]) ).
fof(ouo1,axiom,
! [A,L,M,N] :
( distinct_lines(L,M)
=> ( apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
input ).
fof(ouo1_0,plain,
! [A,L,M,N] :
( ~ distinct_lines(L,M)
| apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ),
inference(orientation,[status(thm)],[ouo1]) ).
fof(ooc2,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
input ).
fof(ooc2_0,plain,
! [A,L] :
( ~ apart_point_and_line(A,orthogonal_through_point(L,A))
| $false ),
inference(orientation,[status(thm)],[ooc2]) ).
fof(ooc1,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
input ).
fof(ooc1_0,plain,
! [A,L] :
( ~ unorthogonal_lines(orthogonal_through_point(L,A),L)
| $false ),
inference(orientation,[status(thm)],[ooc1]) ).
fof(cup1,axiom,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
input ).
fof(cup1_0,plain,
! [X,Y,Z] :
( ~ distinct_lines(Y,Z)
| apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ),
inference(orientation,[status(thm)],[cup1]) ).
fof(cp2,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
input ).
fof(cp2_0,plain,
! [X,Y] :
( ~ apart_point_and_line(X,parallel_through_point(Y,X))
| $false ),
inference(orientation,[status(thm)],[cp2]) ).
fof(cp1,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
input ).
fof(cp1_0,plain,
! [X,Y] :
( ~ convergent_lines(parallel_through_point(Y,X),Y)
| $false ),
inference(orientation,[status(thm)],[cp1]) ).
fof(p1,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
input ).
fof(p1_0,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
inference(orientation,[status(thm)],[p1]) ).
fof(ceq3,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
input ).
fof(ceq3_0,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
inference(orientation,[status(thm)],[ceq3]) ).
fof(ceq2,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
input ).
fof(ceq2_0,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(orientation,[status(thm)],[ceq2]) ).
fof(ceq1,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
input ).
fof(ceq1_0,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(orientation,[status(thm)],[ceq1]) ).
fof(ci4,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
input ).
fof(ci4_0,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
inference(orientation,[status(thm)],[ci4]) ).
fof(ci3,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
input ).
fof(ci3_0,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
inference(orientation,[status(thm)],[ci3]) ).
fof(ci2,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
input ).
fof(ci2_0,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(orientation,[status(thm)],[ci2]) ).
fof(ci1,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
input ).
fof(ci1_0,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(orientation,[status(thm)],[ci1]) ).
fof(ax6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
input ).
fof(ax6_0,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(orientation,[status(thm)],[ax6]) ).
fof(apart5,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
input ).
fof(apart5_0,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(orientation,[status(thm)],[apart5]) ).
fof(apart4,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
input ).
fof(apart4_0,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(orientation,[status(thm)],[apart4]) ).
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X),
input ).
fof(apart3_0,plain,
! [X] :
( ~ convergent_lines(X,X)
| $false ),
inference(orientation,[status(thm)],[apart3]) ).
fof(apart2,axiom,
! [X] : ~ distinct_lines(X,X),
input ).
fof(apart2_0,plain,
! [X] :
( ~ distinct_lines(X,X)
| $false ),
inference(orientation,[status(thm)],[apart2]) ).
fof(apart1,axiom,
! [X] : ~ distinct_points(X,X),
input ).
fof(apart1_0,plain,
! [X] :
( ~ distinct_points(X,X)
| $false ),
inference(orientation,[status(thm)],[apart1]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> ~ distinct_points(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[apart1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X] :
( lhs_atom2(X)
<=> ~ distinct_lines(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X] :
( lhs_atom2(X)
| $false ),
inference(fold_definition,[status(thm)],[apart2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [X] :
( lhs_atom3(X)
<=> ~ convergent_lines(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X] :
( lhs_atom3(X)
| $false ),
inference(fold_definition,[status(thm)],[apart3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [Y,X] :
( lhs_atom4(Y,X)
<=> ~ distinct_points(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X,Y,Z] :
( lhs_atom4(Y,X)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(fold_definition,[status(thm)],[apart4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [Y,X] :
( lhs_atom5(Y,X)
<=> ~ distinct_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [X,Y,Z] :
( lhs_atom5(Y,X)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(fold_definition,[status(thm)],[apart5_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [Y,X] :
( lhs_atom6(Y,X)
<=> ~ convergent_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [X,Y,Z] :
( lhs_atom6(Y,X)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(fold_definition,[status(thm)],[ax6_0,def_lhs_atom6]) ).
fof(to_be_clausified_6,plain,
! [X,Y] :
( lhs_atom4(Y,X)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(fold_definition,[status(thm)],[ci1_0,def_lhs_atom4]) ).
fof(to_be_clausified_7,plain,
! [X,Y] :
( lhs_atom4(Y,X)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(fold_definition,[status(thm)],[ci2_0,def_lhs_atom4]) ).
fof(to_be_clausified_8,plain,
! [X,Y] :
( lhs_atom6(Y,X)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
inference(fold_definition,[status(thm)],[ci3_0,def_lhs_atom6]) ).
fof(to_be_clausified_9,plain,
! [X,Y] :
( lhs_atom6(Y,X)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
inference(fold_definition,[status(thm)],[ci4_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [Y,X] :
( lhs_atom7(Y,X)
<=> ~ apart_point_and_line(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [X,Y,Z] :
( lhs_atom7(Y,X)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(fold_definition,[status(thm)],[ceq1_0,def_lhs_atom7]) ).
fof(to_be_clausified_11,plain,
! [X,Y,Z] :
( lhs_atom7(Y,X)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(fold_definition,[status(thm)],[ceq2_0,def_lhs_atom7]) ).
fof(to_be_clausified_12,plain,
! [X,Y,Z] :
( lhs_atom6(Y,X)
| distinct_lines(Y,Z)
| convergent_lines(X,Z) ),
inference(fold_definition,[status(thm)],[ceq3_0,def_lhs_atom6]) ).
fof(to_be_clausified_13,plain,
! [X,Y] :
( lhs_atom5(Y,X)
| convergent_lines(X,Y) ),
inference(fold_definition,[status(thm)],[p1_0,def_lhs_atom5]) ).
fof(def_lhs_atom8,axiom,
! [Y,X] :
( lhs_atom8(Y,X)
<=> ~ convergent_lines(parallel_through_point(Y,X),Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [X,Y] :
( lhs_atom8(Y,X)
| $false ),
inference(fold_definition,[status(thm)],[cp1_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [Y,X] :
( lhs_atom9(Y,X)
<=> ~ apart_point_and_line(X,parallel_through_point(Y,X)) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [X,Y] :
( lhs_atom9(Y,X)
| $false ),
inference(fold_definition,[status(thm)],[cp2_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [Z,Y] :
( lhs_atom10(Z,Y)
<=> ~ distinct_lines(Y,Z) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [X,Y,Z] :
( lhs_atom10(Z,Y)
| apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ),
inference(fold_definition,[status(thm)],[cup1_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [L,A] :
( lhs_atom11(L,A)
<=> ~ unorthogonal_lines(orthogonal_through_point(L,A),L) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A,L] :
( lhs_atom11(L,A)
| $false ),
inference(fold_definition,[status(thm)],[ooc1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [L,A] :
( lhs_atom12(L,A)
<=> ~ apart_point_and_line(A,orthogonal_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A,L] :
( lhs_atom12(L,A)
| $false ),
inference(fold_definition,[status(thm)],[ooc2_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [M,L] :
( lhs_atom13(M,L)
<=> ~ distinct_lines(L,M) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A,L,M,N] :
( lhs_atom13(M,L)
| apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ),
inference(fold_definition,[status(thm)],[ouo1_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [N,M] :
( lhs_atom14(N,M)
<=> ~ convergent_lines(M,N) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [L,M,N] :
( lhs_atom14(N,M)
| ~ ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) ) ),
inference(fold_definition,[status(thm)],[couo1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [B,A] :
( lhs_atom15(B,A)
<=> line(line_connecting(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B] :
( lhs_atom15(B,A)
| ~ ( point(A)
& point(B)
& distinct_points(A,B) ) ),
inference(fold_definition,[status(thm)],[con1_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [M,L] :
( lhs_atom16(M,L)
<=> point(intersection_point(L,M)) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [L,M] :
( lhs_atom16(M,L)
| ~ ( line(L)
& line(M)
& convergent_lines(L,M) ) ),
inference(fold_definition,[status(thm)],[int1_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [L,A] :
( lhs_atom17(L,A)
<=> line(parallel_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A,L] :
( lhs_atom17(L,A)
| ~ ( line(L)
& point(A) ) ),
inference(fold_definition,[status(thm)],[par1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [L,A] :
( lhs_atom18(L,A)
<=> line(orthogonal_through_point(L,A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [A,L] :
( lhs_atom18(L,A)
| ~ ( line(L)
& point(A) ) ),
inference(fold_definition,[status(thm)],[orth1_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [Y,X] :
( lhs_atom19(Y,X)
<=> ~ equal_points(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [X,Y] :
( lhs_atom19(Y,X)
| ~ distinct_points(X,Y) ),
inference(fold_definition,[status(thm)],[ax1_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [Y,X] :
( lhs_atom20(Y,X)
<=> equal_points(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [X,Y] :
( lhs_atom20(Y,X)
| distinct_points(X,Y) ),
inference(fold_definition,[status(thm)],[ax1_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [Y,X] :
( lhs_atom21(Y,X)
<=> ~ equal_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [X,Y] :
( lhs_atom21(Y,X)
| ~ distinct_lines(X,Y) ),
inference(fold_definition,[status(thm)],[ax2_1,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [Y,X] :
( lhs_atom22(Y,X)
<=> equal_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [X,Y] :
( lhs_atom22(Y,X)
| distinct_lines(X,Y) ),
inference(fold_definition,[status(thm)],[ax2_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [Y,X] :
( lhs_atom23(Y,X)
<=> ~ parallel_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [X,Y] :
( lhs_atom23(Y,X)
| ~ convergent_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a3_1,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [Y,X] :
( lhs_atom24(Y,X)
<=> parallel_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [X,Y] :
( lhs_atom24(Y,X)
| convergent_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a3_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [Y,X] :
( lhs_atom25(Y,X)
<=> ~ incident_point_and_line(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [X,Y] :
( lhs_atom25(Y,X)
| ~ apart_point_and_line(X,Y) ),
inference(fold_definition,[status(thm)],[a4_1,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [Y,X] :
( lhs_atom26(Y,X)
<=> incident_point_and_line(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [X,Y] :
( lhs_atom26(Y,X)
| apart_point_and_line(X,Y) ),
inference(fold_definition,[status(thm)],[a4_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [Y,X] :
( lhs_atom27(Y,X)
<=> ~ orthogonal_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [X,Y] :
( lhs_atom27(Y,X)
| ~ unorthogonal_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a5_1,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [Y,X] :
( lhs_atom28(Y,X)
<=> orthogonal_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [X,Y] :
( lhs_atom28(Y,X)
| unorthogonal_lines(X,Y) ),
inference(fold_definition,[status(thm)],[a5_0,def_lhs_atom28]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X1] :
( lhs_atom6(X3,X1)
| ~ apart_point_and_line(intersection_point(X1,X3),X3) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_1,axiom,
! [X3,X1] :
( lhs_atom6(X3,X1)
| ~ apart_point_and_line(intersection_point(X1,X3),X1) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_2,axiom,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ apart_point_and_line(X3,line_connecting(X1,X3)) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_3,axiom,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ apart_point_and_line(X1,line_connecting(X1,X3)) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_4,axiom,
! [X6,X7,X4,X5] :
( lhs_atom13(X7,X4)
| apart_point_and_line(X5,X4)
| apart_point_and_line(X5,X7)
| unorthogonal_lines(X4,X6)
| unorthogonal_lines(X7,X6) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_5,axiom,
! [X2,X3,X1] :
( lhs_atom10(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| convergent_lines(X3,X2) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_6,axiom,
! [X7,X4] :
( lhs_atom16(X7,X4)
| ~ ( line(X4)
& line(X7)
& convergent_lines(X4,X7) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_7,axiom,
! [X8,X5] :
( lhs_atom15(X8,X5)
| ~ ( point(X5)
& point(X8)
& distinct_points(X5,X8) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_8,axiom,
! [X6,X7,X4] :
( lhs_atom14(X6,X7)
| ~ ( ~ unorthogonal_lines(X4,X7)
& ~ unorthogonal_lines(X4,X6) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_9,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| distinct_lines(X3,X2)
| convergent_lines(X1,X2) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_10,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_lines(X3,X2)
| apart_point_and_line(X1,X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_11,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_points(X1,X2)
| apart_point_and_line(X2,X3) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_12,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_13,axiom,
! [X2,X3,X1] :
( lhs_atom5(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_14,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_15,axiom,
! [X3,X1] :
( lhs_atom27(X3,X1)
| ~ unorthogonal_lines(X1,X3) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_16,axiom,
! [X3,X1] :
( lhs_atom25(X3,X1)
| ~ apart_point_and_line(X1,X3) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_17,axiom,
! [X3,X1] :
( lhs_atom23(X3,X1)
| ~ convergent_lines(X1,X3) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_18,axiom,
! [X3,X1] :
( lhs_atom21(X3,X1)
| ~ distinct_lines(X1,X3) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_19,axiom,
! [X3,X1] :
( lhs_atom19(X3,X1)
| ~ distinct_points(X1,X3) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_20,axiom,
! [X3,X1] :
( lhs_atom28(X3,X1)
| unorthogonal_lines(X1,X3) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_21,axiom,
! [X3,X1] :
( lhs_atom26(X3,X1)
| apart_point_and_line(X1,X3) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_22,axiom,
! [X3,X1] :
( lhs_atom24(X3,X1)
| convergent_lines(X1,X3) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_23,axiom,
! [X3,X1] :
( lhs_atom22(X3,X1)
| distinct_lines(X1,X3) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_24,axiom,
! [X3,X1] :
( lhs_atom20(X3,X1)
| distinct_points(X1,X3) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_25,axiom,
! [X3,X1] :
( lhs_atom5(X3,X1)
| convergent_lines(X1,X3) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_26,axiom,
! [X4,X5] :
( lhs_atom18(X4,X5)
| ~ ( line(X4)
& point(X5) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_27,axiom,
! [X4,X5] :
( lhs_atom17(X4,X5)
| ~ ( line(X4)
& point(X5) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_28,axiom,
! [X4,X5] :
( lhs_atom12(X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_29,axiom,
! [X4,X5] :
( lhs_atom11(X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_30,axiom,
! [X3,X1] :
( lhs_atom9(X3,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_31,axiom,
! [X3,X1] :
( lhs_atom8(X3,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom3(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_33,axiom,
! [X1] :
( lhs_atom2(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_34,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_35,plain,
! [X3,X1] :
( lhs_atom6(X3,X1)
| ~ apart_point_and_line(intersection_point(X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_36,plain,
! [X3,X1] :
( lhs_atom6(X3,X1)
| ~ apart_point_and_line(intersection_point(X1,X3),X1) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_37,plain,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ apart_point_and_line(X3,line_connecting(X1,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_38,plain,
! [X3,X1] :
( lhs_atom4(X3,X1)
| ~ apart_point_and_line(X1,line_connecting(X1,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_39,axiom,
! [X6,X7,X4,X5] :
( lhs_atom13(X7,X4)
| apart_point_and_line(X5,X4)
| apart_point_and_line(X5,X7)
| unorthogonal_lines(X4,X6)
| unorthogonal_lines(X7,X6) ),
c_0_4 ).
fof(c_0_40,axiom,
! [X2,X3,X1] :
( lhs_atom10(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| convergent_lines(X3,X2) ),
c_0_5 ).
fof(c_0_41,axiom,
! [X7,X4] :
( lhs_atom16(X7,X4)
| ~ ( line(X4)
& line(X7)
& convergent_lines(X4,X7) ) ),
c_0_6 ).
fof(c_0_42,axiom,
! [X8,X5] :
( lhs_atom15(X8,X5)
| ~ ( point(X5)
& point(X8)
& distinct_points(X5,X8) ) ),
c_0_7 ).
fof(c_0_43,plain,
! [X6,X7,X4] :
( lhs_atom14(X6,X7)
| ~ ( ~ unorthogonal_lines(X4,X7)
& ~ unorthogonal_lines(X4,X6) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_44,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| distinct_lines(X3,X2)
| convergent_lines(X1,X2) ),
c_0_9 ).
fof(c_0_45,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_lines(X3,X2)
| apart_point_and_line(X1,X2) ),
c_0_10 ).
fof(c_0_46,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_points(X1,X2)
| apart_point_and_line(X2,X3) ),
c_0_11 ).
fof(c_0_47,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
c_0_12 ).
fof(c_0_48,axiom,
! [X2,X3,X1] :
( lhs_atom5(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
c_0_13 ).
fof(c_0_49,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
c_0_14 ).
fof(c_0_50,plain,
! [X3,X1] :
( lhs_atom27(X3,X1)
| ~ unorthogonal_lines(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_51,plain,
! [X3,X1] :
( lhs_atom25(X3,X1)
| ~ apart_point_and_line(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_52,plain,
! [X3,X1] :
( lhs_atom23(X3,X1)
| ~ convergent_lines(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_53,plain,
! [X3,X1] :
( lhs_atom21(X3,X1)
| ~ distinct_lines(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_54,plain,
! [X3,X1] :
( lhs_atom19(X3,X1)
| ~ distinct_points(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_55,axiom,
! [X3,X1] :
( lhs_atom28(X3,X1)
| unorthogonal_lines(X1,X3) ),
c_0_20 ).
fof(c_0_56,axiom,
! [X3,X1] :
( lhs_atom26(X3,X1)
| apart_point_and_line(X1,X3) ),
c_0_21 ).
fof(c_0_57,axiom,
! [X3,X1] :
( lhs_atom24(X3,X1)
| convergent_lines(X1,X3) ),
c_0_22 ).
fof(c_0_58,axiom,
! [X3,X1] :
( lhs_atom22(X3,X1)
| distinct_lines(X1,X3) ),
c_0_23 ).
fof(c_0_59,axiom,
! [X3,X1] :
( lhs_atom20(X3,X1)
| distinct_points(X1,X3) ),
c_0_24 ).
fof(c_0_60,axiom,
! [X3,X1] :
( lhs_atom5(X3,X1)
| convergent_lines(X1,X3) ),
c_0_25 ).
fof(c_0_61,axiom,
! [X4,X5] :
( lhs_atom18(X4,X5)
| ~ ( line(X4)
& point(X5) ) ),
c_0_26 ).
fof(c_0_62,axiom,
! [X4,X5] :
( lhs_atom17(X4,X5)
| ~ ( line(X4)
& point(X5) ) ),
c_0_27 ).
fof(c_0_63,plain,
! [X4,X5] : lhs_atom12(X4,X5),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_64,plain,
! [X4,X5] : lhs_atom11(X4,X5),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_65,plain,
! [X3,X1] : lhs_atom9(X3,X1),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_66,plain,
! [X3,X1] : lhs_atom8(X3,X1),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_67,plain,
! [X1] : lhs_atom3(X1),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_68,plain,
! [X1] : lhs_atom2(X1),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_69,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_70,plain,
! [X4,X5] :
( lhs_atom6(X4,X5)
| ~ apart_point_and_line(intersection_point(X5,X4),X4) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_71,plain,
! [X4,X5] :
( lhs_atom6(X4,X5)
| ~ apart_point_and_line(intersection_point(X5,X4),X5) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_72,plain,
! [X4,X5] :
( lhs_atom4(X4,X5)
| ~ apart_point_and_line(X4,line_connecting(X5,X4)) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_73,plain,
! [X4,X5] :
( lhs_atom4(X4,X5)
| ~ apart_point_and_line(X5,line_connecting(X5,X4)) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_74,plain,
! [X8,X9,X10,X11] :
( lhs_atom13(X9,X10)
| apart_point_and_line(X11,X10)
| apart_point_and_line(X11,X9)
| unorthogonal_lines(X10,X8)
| unorthogonal_lines(X9,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_39])])]) ).
fof(c_0_75,plain,
! [X4,X5,X6] :
( lhs_atom10(X4,X5)
| apart_point_and_line(X6,X5)
| apart_point_and_line(X6,X4)
| convergent_lines(X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_40])])]) ).
fof(c_0_76,plain,
! [X8,X9] :
( lhs_atom16(X8,X9)
| ~ line(X9)
| ~ line(X8)
| ~ convergent_lines(X9,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
fof(c_0_77,plain,
! [X9,X10] :
( lhs_atom15(X9,X10)
| ~ point(X10)
| ~ point(X9)
| ~ distinct_points(X10,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
fof(c_0_78,plain,
! [X8,X9,X10] :
( lhs_atom14(X8,X9)
| unorthogonal_lines(X10,X9)
| unorthogonal_lines(X10,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
fof(c_0_79,plain,
! [X4,X5,X6] :
( lhs_atom6(X5,X6)
| distinct_lines(X5,X4)
| convergent_lines(X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_80,plain,
! [X4,X5,X6] :
( lhs_atom7(X5,X6)
| distinct_lines(X5,X4)
| apart_point_and_line(X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_81,plain,
! [X4,X5,X6] :
( lhs_atom7(X5,X6)
| distinct_points(X6,X4)
| apart_point_and_line(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_82,plain,
! [X4,X5,X6] :
( lhs_atom6(X5,X6)
| convergent_lines(X6,X4)
| convergent_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_83,plain,
! [X4,X5,X6] :
( lhs_atom5(X5,X6)
| distinct_lines(X6,X4)
| distinct_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( lhs_atom4(X5,X6)
| distinct_points(X6,X4)
| distinct_points(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_85,plain,
! [X4,X5] :
( lhs_atom27(X4,X5)
| ~ unorthogonal_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_86,plain,
! [X4,X5] :
( lhs_atom25(X4,X5)
| ~ apart_point_and_line(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_87,plain,
! [X4,X5] :
( lhs_atom23(X4,X5)
| ~ convergent_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_88,plain,
! [X4,X5] :
( lhs_atom21(X4,X5)
| ~ distinct_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_89,plain,
! [X4,X5] :
( lhs_atom19(X4,X5)
| ~ distinct_points(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_90,plain,
! [X4,X5] :
( lhs_atom28(X4,X5)
| unorthogonal_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_91,plain,
! [X4,X5] :
( lhs_atom26(X4,X5)
| apart_point_and_line(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_92,plain,
! [X4,X5] :
( lhs_atom24(X4,X5)
| convergent_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_93,plain,
! [X4,X5] :
( lhs_atom22(X4,X5)
| distinct_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_94,plain,
! [X4,X5] :
( lhs_atom20(X4,X5)
| distinct_points(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_95,plain,
! [X4,X5] :
( lhs_atom5(X4,X5)
| convergent_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_96,plain,
! [X6,X7] :
( lhs_atom18(X6,X7)
| ~ line(X6)
| ~ point(X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_97,plain,
! [X6,X7] :
( lhs_atom17(X6,X7)
| ~ line(X6)
| ~ point(X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_98,plain,
! [X6,X7] : lhs_atom12(X6,X7),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_99,plain,
! [X6,X7] : lhs_atom11(X6,X7),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_100,plain,
! [X4,X5] : lhs_atom9(X4,X5),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_101,plain,
! [X4,X5] : lhs_atom8(X4,X5),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_102,plain,
! [X2] : lhs_atom3(X2),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_103,plain,
! [X2] : lhs_atom2(X2),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_104,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( lhs_atom6(X2,X1)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( lhs_atom6(X2,X1)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( lhs_atom4(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_108,plain,
( lhs_atom4(X2,X1)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_109,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| lhs_atom13(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_110,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| lhs_atom10(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_111,plain,
( lhs_atom16(X2,X1)
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( lhs_atom15(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_113,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| lhs_atom14(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_114,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom6(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom7(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_116,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| lhs_atom7(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_117,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| lhs_atom6(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_118,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom5(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_119,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom4(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_120,plain,
( lhs_atom27(X2,X1)
| ~ unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_121,plain,
( lhs_atom25(X2,X1)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_122,plain,
( lhs_atom23(X2,X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_123,plain,
( lhs_atom21(X2,X1)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_124,plain,
( lhs_atom19(X2,X1)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_125,plain,
( unorthogonal_lines(X1,X2)
| lhs_atom28(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_126,plain,
( apart_point_and_line(X1,X2)
| lhs_atom26(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_127,plain,
( convergent_lines(X1,X2)
| lhs_atom24(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_128,plain,
( distinct_lines(X1,X2)
| lhs_atom22(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_129,plain,
( distinct_points(X1,X2)
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_130,plain,
( convergent_lines(X1,X2)
| lhs_atom5(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_131,plain,
( lhs_atom18(X2,X1)
| ~ point(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_132,plain,
( lhs_atom17(X2,X1)
| ~ point(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_133,plain,
lhs_atom12(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_134,plain,
lhs_atom11(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_135,plain,
lhs_atom9(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_136,plain,
lhs_atom8(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_137,plain,
lhs_atom3(X1),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_138,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_139,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_140,plain,
( lhs_atom6(X2,X1)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
c_0_105,
[final] ).
cnf(c_0_141,plain,
( lhs_atom6(X2,X1)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
c_0_106,
[final] ).
cnf(c_0_142,plain,
( lhs_atom4(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
c_0_107,
[final] ).
cnf(c_0_143,plain,
( lhs_atom4(X2,X1)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
c_0_108,
[final] ).
cnf(c_0_144,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| lhs_atom13(X1,X3) ),
c_0_109,
[final] ).
cnf(c_0_145,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| lhs_atom10(X2,X1) ),
c_0_110,
[final] ).
cnf(c_0_146,plain,
( lhs_atom16(X2,X1)
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
c_0_111,
[final] ).
cnf(c_0_147,plain,
( lhs_atom15(X2,X1)
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
c_0_112,
[final] ).
cnf(c_0_148,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| lhs_atom14(X2,X3) ),
c_0_113,
[final] ).
cnf(c_0_149,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom6(X3,X1) ),
c_0_114,
[final] ).
cnf(c_0_150,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom7(X3,X1) ),
c_0_115,
[final] ).
cnf(c_0_151,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| lhs_atom7(X2,X3) ),
c_0_116,
[final] ).
cnf(c_0_152,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| lhs_atom6(X1,X3) ),
c_0_117,
[final] ).
cnf(c_0_153,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom5(X1,X3) ),
c_0_118,
[final] ).
cnf(c_0_154,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom4(X1,X3) ),
c_0_119,
[final] ).
cnf(c_0_155,plain,
( lhs_atom27(X2,X1)
| ~ unorthogonal_lines(X1,X2) ),
c_0_120,
[final] ).
cnf(c_0_156,plain,
( lhs_atom25(X2,X1)
| ~ apart_point_and_line(X1,X2) ),
c_0_121,
[final] ).
cnf(c_0_157,plain,
( lhs_atom23(X2,X1)
| ~ convergent_lines(X1,X2) ),
c_0_122,
[final] ).
cnf(c_0_158,plain,
( lhs_atom21(X2,X1)
| ~ distinct_lines(X1,X2) ),
c_0_123,
[final] ).
cnf(c_0_159,plain,
( lhs_atom19(X2,X1)
| ~ distinct_points(X1,X2) ),
c_0_124,
[final] ).
cnf(c_0_160,plain,
( unorthogonal_lines(X1,X2)
| lhs_atom28(X2,X1) ),
c_0_125,
[final] ).
cnf(c_0_161,plain,
( apart_point_and_line(X1,X2)
| lhs_atom26(X2,X1) ),
c_0_126,
[final] ).
cnf(c_0_162,plain,
( convergent_lines(X1,X2)
| lhs_atom24(X2,X1) ),
c_0_127,
[final] ).
cnf(c_0_163,plain,
( distinct_lines(X1,X2)
| lhs_atom22(X2,X1) ),
c_0_128,
[final] ).
cnf(c_0_164,plain,
( distinct_points(X1,X2)
| lhs_atom20(X2,X1) ),
c_0_129,
[final] ).
cnf(c_0_165,plain,
( convergent_lines(X1,X2)
| lhs_atom5(X2,X1) ),
c_0_130,
[final] ).
cnf(c_0_166,plain,
( lhs_atom18(X2,X1)
| ~ point(X1)
| ~ line(X2) ),
c_0_131,
[final] ).
cnf(c_0_167,plain,
( lhs_atom17(X2,X1)
| ~ point(X1)
| ~ line(X2) ),
c_0_132,
[final] ).
cnf(c_0_168,plain,
lhs_atom12(X1,X2),
c_0_133,
[final] ).
cnf(c_0_169,plain,
lhs_atom11(X1,X2),
c_0_134,
[final] ).
cnf(c_0_170,plain,
lhs_atom9(X1,X2),
c_0_135,
[final] ).
cnf(c_0_171,plain,
lhs_atom8(X1,X2),
c_0_136,
[final] ).
cnf(c_0_172,plain,
lhs_atom3(X1),
c_0_137,
[final] ).
cnf(c_0_173,plain,
lhs_atom2(X1),
c_0_138,
[final] ).
cnf(c_0_174,plain,
lhs_atom1(X1),
c_0_139,
[final] ).
% End CNF derivation
cnf(c_0_140_0,axiom,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom6]) ).
cnf(c_0_141_0,axiom,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom6]) ).
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_atom4]) ).
cnf(c_0_143_0,axiom,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom4]) ).
cnf(c_0_144_0,axiom,
( ~ distinct_lines(X3,X1)
| unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom13]) ).
cnf(c_0_145_0,axiom,
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom10]) ).
cnf(c_0_146_0,axiom,
( point(intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom16]) ).
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_atom15]) ).
cnf(c_0_148_0,axiom,
( ~ convergent_lines(X3,X2)
| unorthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom14]) ).
cnf(c_0_149_0,axiom,
( ~ convergent_lines(X1,X3)
| convergent_lines(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom6]) ).
cnf(c_0_150_0,axiom,
( ~ apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom7]) ).
cnf(c_0_151_0,axiom,
( ~ apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| distinct_points(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom7]) ).
cnf(c_0_152_0,axiom,
( ~ convergent_lines(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom6]) ).
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_atom5]) ).
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_atom4]) ).
cnf(c_0_155_0,axiom,
( ~ orthogonal_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom27]) ).
cnf(c_0_156_0,axiom,
( ~ incident_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom25]) ).
cnf(c_0_157_0,axiom,
( ~ parallel_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom23]) ).
cnf(c_0_158_0,axiom,
( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom21]) ).
cnf(c_0_159_0,axiom,
( ~ equal_points(X1,X2)
| ~ distinct_points(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom19]) ).
cnf(c_0_160_0,axiom,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom28]) ).
cnf(c_0_161_0,axiom,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom26]) ).
cnf(c_0_162_0,axiom,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom24]) ).
cnf(c_0_163_0,axiom,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom22]) ).
cnf(c_0_164_0,axiom,
( equal_points(X1,X2)
| distinct_points(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom20]) ).
cnf(c_0_165_0,axiom,
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom5]) ).
cnf(c_0_166_0,axiom,
( line(orthogonal_through_point(X2,X1))
| ~ point(X1)
| ~ line(X2) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom18]) ).
cnf(c_0_167_0,axiom,
( line(parallel_through_point(X2,X1))
| ~ point(X1)
| ~ line(X2) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom17]) ).
cnf(c_0_168_0,axiom,
~ apart_point_and_line(X2,orthogonal_through_point(X1,X2)),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom12]) ).
cnf(c_0_169_0,axiom,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom11]) ).
cnf(c_0_170_0,axiom,
~ apart_point_and_line(X2,parallel_through_point(X1,X2)),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom9]) ).
cnf(c_0_171_0,axiom,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom8]) ).
cnf(c_0_172_0,axiom,
~ convergent_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom3]) ).
cnf(c_0_173_0,axiom,
~ distinct_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom2]) ).
cnf(c_0_174_0,axiom,
~ distinct_points(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X5,X6,X7] :
( ( distinct_points(X4,X5)
& distinct_lines(X6,X7) )
=> ( apart_point_and_line(X4,X6)
| apart_point_and_line(X4,X7)
| apart_point_and_line(X5,X6)
| apart_point_and_line(X5,X7) ) ),
file('<stdin>',cu1) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
=> ( ( convergent_lines(X1,X3)
& unorthogonal_lines(X1,X3) )
| ( convergent_lines(X2,X3)
& unorthogonal_lines(X2,X3) ) ) ),
file('<stdin>',oac1) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
file('<stdin>',cotno1) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('<stdin>',occu1) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
file('<stdin>',coipo1) ).
fof(c_0_5_006,axiom,
! [X4,X5,X6,X7] :
( ( distinct_points(X4,X5)
& distinct_lines(X6,X7) )
=> ( apart_point_and_line(X4,X6)
| apart_point_and_line(X4,X7)
| apart_point_and_line(X5,X6)
| apart_point_and_line(X5,X7) ) ),
c_0_0 ).
fof(c_0_6_007,axiom,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
=> ( ( convergent_lines(X1,X3)
& unorthogonal_lines(X1,X3) )
| ( convergent_lines(X2,X3)
& unorthogonal_lines(X2,X3) ) ) ),
c_0_1 ).
fof(c_0_7_008,plain,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_8_009,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
c_0_3 ).
fof(c_0_9_010,plain,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_10_011,plain,
! [X8,X9,X10,X11] :
( ~ distinct_points(X8,X9)
| ~ distinct_lines(X10,X11)
| apart_point_and_line(X8,X10)
| apart_point_and_line(X8,X11)
| apart_point_and_line(X9,X10)
| apart_point_and_line(X9,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_11_012,plain,
! [X4,X5,X6] :
( ( convergent_lines(X5,X6)
| convergent_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( unorthogonal_lines(X5,X6)
| convergent_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( convergent_lines(X5,X6)
| unorthogonal_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( unorthogonal_lines(X5,X6)
| unorthogonal_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) ) ),
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_6])])])])]) ).
fof(c_0_12_013,plain,
! [X4,X5,X6] :
( ( convergent_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( convergent_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_13_014,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_14_015,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_15_016,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_017,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17_018,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18_019,plain,
( unorthogonal_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19_020,plain,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20_021,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21_022,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22_023,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23_024,plain,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24_025,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25_026,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26_027,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
c_0_15,
[final] ).
cnf(c_0_27_028,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_16,
[final] ).
cnf(c_0_28_029,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_17,
[final] ).
cnf(c_0_29_030,plain,
( unorthogonal_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_18,
[final] ).
cnf(c_0_30_031,plain,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_19,
[final] ).
cnf(c_0_31_032,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_20,
[final] ).
cnf(c_0_32_033,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_21,
[final] ).
cnf(c_0_33_034,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_22,
[final] ).
cnf(c_0_34_035,plain,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_23,
[final] ).
cnf(c_0_35_036,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
c_0_24,
[final] ).
cnf(c_0_36_037,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
c_0_25,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_26_0,axiom,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_1,axiom,
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_2,axiom,
( apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_3,axiom,
( apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_4,axiom,
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_5,axiom,
( ~ distinct_points(X4,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_27_0,axiom,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_1,axiom,
( convergent_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| convergent_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| convergent_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_28_0,axiom,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_1,axiom,
( unorthogonal_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
( unorthogonal_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_1,axiom,
( convergent_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| convergent_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| convergent_lines(X2,X3)
| unorthogonal_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_30_0,axiom,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_1,axiom,
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_30_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_30]) ).
cnf(c_0_31_0,axiom,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_1,axiom,
( convergent_lines(X3,X2)
| convergent_lines(X3,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| convergent_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_31_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| convergent_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_31]) ).
cnf(c_0_32_0,axiom,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_1,axiom,
( unorthogonal_lines(X3,X2)
| convergent_lines(X3,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| convergent_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_32_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| convergent_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_32]) ).
cnf(c_0_33_0,axiom,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_1,axiom,
( convergent_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_33_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| convergent_lines(X3,X2)
| unorthogonal_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_33]) ).
cnf(c_0_34_0,axiom,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_1,axiom,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_2,axiom,
( ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_34_3,axiom,
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_34]) ).
cnf(c_0_35_0,axiom,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_35_1,axiom,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_35]) ).
cnf(c_0_36_0,axiom,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
cnf(c_0_36_1,axiom,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_36]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_038,conjecture,
! [X1,X2,X3,X4] :
( ( convergent_lines(X1,X2)
& convergent_lines(X3,X4)
& incident_point_and_line(intersection_point(X1,X2),X3)
& incident_point_and_line(intersection_point(X1,X2),X4) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X2) ) ),
file('<stdin>',con) ).
fof(c_0_1_039,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( convergent_lines(X1,X2)
& convergent_lines(X3,X4)
& incident_point_and_line(intersection_point(X1,X2),X3)
& incident_point_and_line(intersection_point(X1,X2),X4) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X2) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_040,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& incident_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
& incident_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)
& ( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0)
| ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_041,negated_conjecture,
( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)
| ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_042,negated_conjecture,
incident_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_043,negated_conjecture,
incident_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_044,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_045,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_046,negated_conjecture,
( ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)
| ~ incident_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0) ),
c_0_3,
[final] ).
cnf(c_0_9_047,negated_conjecture,
incident_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
c_0_4,
[final] ).
cnf(c_0_10_048,negated_conjecture,
incident_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0),
c_0_5,
[final] ).
cnf(c_0_11_049,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
c_0_6,
[final] ).
cnf(c_0_12_050,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_2,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_26_2) ).
cnf(c_147,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3) ),
inference(copy,[status(esa)],[c_2]) ).
cnf(c_87519,plain,
( apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),X0)
| apart_point_and_line(X1,sk3_esk3_0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(sk3_esk3_0,X0)
| ~ distinct_points(intersection_point(sk3_esk3_0,sk3_esk4_0),X1) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_88051,plain,
( apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),X0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),X0)
| ~ distinct_lines(sk3_esk3_0,X0)
| ~ distinct_points(intersection_point(sk3_esk3_0,sk3_esk4_0),intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_87519]) ).
cnf(c_242475,plain,
( apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk4_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk4_0)
| ~ distinct_lines(sk3_esk3_0,sk3_esk4_0)
| ~ distinct_points(intersection_point(sk3_esk3_0,sk3_esk4_0),intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_88051]) ).
cnf(c_65,plain,
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_151_0) ).
cnf(c_210,plain,
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_87513,plain,
( apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| ~ apart_point_and_line(X0,sk3_esk1_0)
| distinct_points(X0,intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_88498,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| distinct_points(intersection_point(sk3_esk3_0,sk3_esk4_0),intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_87513]) ).
cnf(c_87536,plain,
( apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0)
| ~ apart_point_and_line(X0,sk3_esk2_0)
| distinct_points(X0,intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_88230,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk2_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0)
| distinct_points(intersection_point(sk3_esk3_0,sk3_esk4_0),intersection_point(sk3_esk1_0,sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_87536]) ).
cnf(c_44,plain,
~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_172_0) ).
cnf(c_189,plain,
~ convergent_lines(X0,X0),
inference(copy,[status(esa)],[c_44]) ).
cnf(c_88139,plain,
~ convergent_lines(sk3_esk4_0,sk3_esk4_0),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_67,plain,
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_149_0) ).
cnf(c_212,plain,
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_87701,plain,
( distinct_lines(sk3_esk3_0,X0)
| ~ convergent_lines(sk3_esk4_0,sk3_esk3_0)
| convergent_lines(sk3_esk4_0,X0) ),
inference(instantiation,[status(thm)],[c_212]) ).
cnf(c_88138,plain,
( distinct_lines(sk3_esk3_0,sk3_esk4_0)
| ~ convergent_lines(sk3_esk4_0,sk3_esk3_0)
| convergent_lines(sk3_esk4_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_87701]) ).
cnf(c_55,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_161_0) ).
cnf(c_200,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_87877,plain,
( apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0)
| incident_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_200]) ).
cnf(c_87749,plain,
( apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk2_0)
| incident_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_200]) ).
cnf(c_87593,plain,
~ convergent_lines(sk3_esk3_0,sk3_esk3_0),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_64,plain,
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_152_0) ).
cnf(c_209,plain,
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(copy,[status(esa)],[c_64]) ).
cnf(c_87402,plain,
( ~ convergent_lines(sk3_esk3_0,sk3_esk4_0)
| convergent_lines(sk3_esk3_0,X0)
| convergent_lines(sk3_esk4_0,X0) ),
inference(instantiation,[status(thm)],[c_209]) ).
cnf(c_87592,plain,
( convergent_lines(sk3_esk3_0,sk3_esk3_0)
| ~ convergent_lines(sk3_esk3_0,sk3_esk4_0)
| convergent_lines(sk3_esk4_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_87402]) ).
cnf(c_76,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_140_0) ).
cnf(c_221,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_87399,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk4_0)
| ~ convergent_lines(sk3_esk3_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_87398,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0)
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_75,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_141_0) ).
cnf(c_220,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_87397,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk3_0)
| ~ convergent_lines(sk3_esk3_0,sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_87396,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_220]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_156_0) ).
cnf(c_205,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_87395,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk4_0)
| ~ incident_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk4_0) ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_87394,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| ~ incident_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_77,negated_conjecture,
( ~ incident_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk2_0)
| ~ incident_point_and_line(intersection_point(sk3_esk3_0,sk3_esk4_0),sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_8) ).
cnf(c_78,negated_conjecture,
incident_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_9) ).
cnf(c_79,negated_conjecture,
incident_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk4_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_10) ).
cnf(c_80,negated_conjecture,
convergent_lines(sk3_esk1_0,sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_11) ).
cnf(c_81,negated_conjecture,
convergent_lines(sk3_esk3_0,sk3_esk4_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_e12643.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_242475,c_88498,c_88230,c_88139,c_88138,c_87877,c_87749,c_87593,c_87592,c_87399,c_87398,c_87397,c_87396,c_87395,c_87394,c_77,c_78,c_79,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 10:02:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.39 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.39 % FOF problem with conjecture
% 0.20/0.39 % 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_d52f74.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e12643.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_365c41 | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d52f74.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.43
% 0.20/0.43 % ------ Proving...
% 0.20/0.43 % ------ Problem Properties
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % EPR false
% 0.20/0.43 % Horn false
% 0.20/0.43 % Has equality false
% 0.20/0.43
% 0.20/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % % ------ Current options:
% 0.20/0.43
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 3.62/3.80 % --inst_prop_sim_new false
% 3.62/3.80 % --inst_orphan_elimination true
% 3.62/3.80 % --inst_learning_loop_flag true
% 3.62/3.80 % --inst_learning_start 3000
% 3.62/3.80 % --inst_learning_factor 2
% 3.62/3.80 % --inst_start_prop_sim_after_learn 3
% 3.62/3.80 % --inst_sel_renew solver
% 3.62/3.80 % --inst_lit_activity_flag true
% 3.62/3.80 % --inst_out_proof true
% 3.62/3.80
% 3.62/3.80 % ------ Resolution Options
% 3.62/3.80
% 3.62/3.80 % --resolution_flag true
% 3.62/3.80 % --res_lit_sel kbo_max
% 3.62/3.80 % --res_to_prop_solver none
% 3.62/3.80 % --res_prop_simpl_new false
% 3.62/3.80 % --res_prop_simpl_given false
% 3.62/3.80 % --res_passive_queue_type priority_queues
% 3.62/3.80 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.62/3.80 % --res_passive_queues_freq [15;5]
% 3.62/3.80 % --res_forward_subs full
% 3.62/3.80 % --res_backward_subs full
% 3.62/3.80 % --res_forward_subs_resolution true
% 3.62/3.80 % --res_backward_subs_resolution true
% 3.62/3.80 % --res_orphan_elimination false
% 3.62/3.80 % --res_time_limit 1000.
% 3.62/3.80 % --res_out_proof true
% 3.62/3.80 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d52f74.s
% 3.62/3.80 % --modulo true
% 3.62/3.80
% 3.62/3.80 % ------ Combination Options
% 3.62/3.80
% 3.62/3.80 % --comb_res_mult 1000
% 3.62/3.80 % --comb_inst_mult 300
% 3.62/3.80 % ------
% 3.62/3.80
% 3.62/3.80
% 3.62/3.80
% 3.62/3.80 % ------ Proving...
% 3.62/3.80 %
% 3.62/3.80
% 3.62/3.80
% 3.62/3.80 % ------ Statistics
% 3.62/3.80
% 3.62/3.80 % ------ General
% 3.62/3.80
% 3.62/3.80 % num_of_input_clauses: 82
% 3.62/3.80 % num_of_input_neg_conjectures: 5
% 3.62/3.80 % num_of_splits: 0
% 3.62/3.80 % num_of_split_atoms: 0
% 3.62/3.80 % num_of_sem_filtered_clauses: 0
% 3.62/3.80 % num_of_subtypes: 0
% 3.62/3.80 % monotx_restored_types: 0
% 3.62/3.80 % sat_num_of_epr_types: 0
% 3.62/3.80 % sat_num_of_non_cyclic_types: 0
% 3.62/3.80 % sat_guarded_non_collapsed_types: 0
% 3.62/3.80 % is_epr: 0
% 3.62/3.80 % is_horn: 0
% 3.62/3.80 % has_eq: 0
% 3.62/3.80 % num_pure_diseq_elim: 0
% 3.62/3.80 % simp_replaced_by: 0
% 3.62/3.80 % res_preprocessed: 10
% 3.62/3.80 % prep_upred: 0
% 3.62/3.80 % prep_unflattend: 0
% 3.62/3.80 % pred_elim_cands: 0
% 3.62/3.80 % pred_elim: 0
% 3.62/3.80 % pred_elim_cl: 0
% 3.62/3.80 % pred_elim_cycles: 0
% 3.62/3.80 % forced_gc_time: 0
% 3.62/3.80 % gc_basic_clause_elim: 0
% 3.62/3.80 % parsing_time: 0.003
% 3.62/3.80 % sem_filter_time: 0.
% 3.62/3.80 % pred_elim_time: 0.
% 3.62/3.80 % out_proof_time: 0.001
% 3.62/3.80 % monotx_time: 0.
% 3.62/3.80 % subtype_inf_time: 0.
% 3.62/3.80 % unif_index_cands_time: 0.006
% 3.62/3.80 % unif_index_add_time: 0.003
% 3.62/3.80 % total_time: 3.398
% 3.62/3.80 % num_of_symbols: 45
% 3.62/3.80 % num_of_terms: 3154
% 3.62/3.80
% 3.62/3.80 % ------ Propositional Solver
% 3.62/3.80
% 3.62/3.80 % prop_solver_calls: 8
% 3.62/3.80 % prop_fast_solver_calls: 18
% 3.62/3.80 % prop_num_of_clauses: 1266
% 3.62/3.80 % prop_preprocess_simplified: 2497
% 3.62/3.80 % prop_fo_subsumed: 0
% 3.62/3.80 % prop_solver_time: 0.
% 3.62/3.80 % prop_fast_solver_time: 0.
% 3.62/3.80 % prop_unsat_core_time: 0.
% 3.62/3.80
% 3.62/3.80 % ------ QBF
% 3.62/3.80
% 3.62/3.80 % qbf_q_res: 0
% 3.62/3.80 % qbf_num_tautologies: 0
% 3.62/3.80 % qbf_prep_cycles: 0
% 3.62/3.80
% 3.62/3.80 % ------ BMC1
% 3.62/3.80
% 3.62/3.80 % bmc1_current_bound: -1
% 3.62/3.80 % bmc1_last_solved_bound: -1
% 3.62/3.80 % bmc1_unsat_core_size: -1
% 3.62/3.80 % bmc1_unsat_core_parents_size: -1
% 3.62/3.80 % bmc1_merge_next_fun: 0
% 3.62/3.80 % bmc1_unsat_core_clauses_time: 0.
% 3.62/3.80
% 3.62/3.80 % ------ Instantiation
% 3.62/3.80
% 3.62/3.80 % inst_num_of_clauses: 1021
% 3.62/3.80 % inst_num_in_passive: 256
% 3.62/3.80 % inst_num_in_active: 402
% 3.62/3.80 % inst_num_in_unprocessed: 342
% 3.62/3.80 % inst_num_of_loops: 562
% 3.62/3.80 % inst_num_of_learning_restarts: 0
% 3.62/3.80 % inst_num_moves_active_passive: 138
% 3.62/3.80 % inst_lit_activity: 196
% 3.62/3.80 % inst_lit_activity_moves: 0
% 3.62/3.80 % inst_num_tautologies: 20
% 3.62/3.80 % inst_num_prop_implied: 0
% 3.62/3.80 % inst_num_existing_simplified: 0
% 3.62/3.80 % inst_num_eq_res_simplified: 0
% 3.62/3.80 % inst_num_child_elim: 0
% 3.62/3.80 % inst_num_of_dismatching_blockings: 201
% 3.62/3.80 % inst_num_of_non_proper_insts: 2017
% 3.62/3.80 % inst_num_of_duplicates: 1008
% 3.62/3.80 % inst_inst_num_from_inst_to_res: 0
% 3.62/3.80 % inst_dismatching_checking_time: 0.
% 3.62/3.80
% 3.62/3.80 % ------ Resolution
% 3.62/3.80
% 3.62/3.80 % res_num_of_clauses: 82683
% 3.62/3.80 % res_num_in_passive: 81849
% 3.62/3.80 % res_num_in_active: 1034
% 3.62/3.80 % res_num_of_loops: 2000
% 3.62/3.80 % res_forward_subset_subsumed: 27074
% 3.62/3.80 % res_backward_subset_subsumed: 283
% 3.62/3.80 % res_forward_subsumed: 900
% 3.62/3.80 % res_backward_subsumed: 68
% 3.62/3.80 % res_forward_subsumption_resolution: 194
% 3.62/3.80 % res_backward_subsumption_resolution: 18
% 3.62/3.80 % res_clause_to_clause_subsumption: 147558
% 3.62/3.80 % res_orphan_elimination: 0
% 3.62/3.80 % res_tautology_del: 3861
% 3.62/3.80 % res_num_eq_res_simplified: 0
% 3.62/3.80 % res_num_sel_changes: 0
% 3.62/3.80 % res_moves_from_active_to_pass: 0
% 3.62/3.80
% 3.62/3.80 % Status Unsatisfiable
% 3.62/3.80 % SZS status Theorem
% 3.62/3.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------