TSTP Solution File: GEO224+3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:42:16 EDT 2022
% Result : Theorem 2.42s 2.65s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 45
% Syntax : Number of formulae : 367 ( 53 unt; 0 def)
% Number of atoms : 1051 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1176 ( 492 ~; 587 |; 43 &)
% ( 10 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 845 ( 14 sgn 258 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('<stdin>',cu1) ).
fof(c_0_1,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('<stdin>',ci4) ).
fof(c_0_2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('<stdin>',ci3) ).
fof(c_0_3,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('<stdin>',ci2) ).
fof(c_0_4,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('<stdin>',ci1) ).
fof(c_0_5,axiom,
! [X9,X6,X7,X8] :
( distinct_lines(X6,X7)
=> ( apart_point_and_line(X9,X6)
| apart_point_and_line(X9,X7)
| unorthogonal_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
file('<stdin>',ouo1) ).
fof(c_0_6,axiom,
! [X6,X7,X8] :
( ( ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( ~ convergent_lines(X6,X8)
| ~ unorthogonal_lines(X6,X8) ) )
=> ( ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
file('<stdin>',cotno1) ).
fof(c_0_7,axiom,
! [X6,X7,X8] :
( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
=> ( ( convergent_lines(X6,X8)
& unorthogonal_lines(X6,X8) )
| ( convergent_lines(X7,X8)
& unorthogonal_lines(X7,X8) ) ) ),
file('<stdin>',oac1) ).
fof(c_0_8,axiom,
! [X6,X7] :
( ( line(X6)
& line(X7)
& convergent_lines(X6,X7) )
=> point(intersection_point(X6,X7)) ),
file('<stdin>',int1) ).
fof(c_0_9,axiom,
! [X9,X10] :
( ( point(X9)
& point(X10)
& distinct_points(X9,X10) )
=> line(line_connecting(X9,X10)) ),
file('<stdin>',con1) ).
fof(c_0_10,axiom,
! [X1,X2,X3] :
( distinct_lines(X2,X3)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ) ),
file('<stdin>',cup1) ).
fof(c_0_11,axiom,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
file('<stdin>',ooc2) ).
fof(c_0_12,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('<stdin>',ooc1) ).
fof(c_0_13,axiom,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('<stdin>',cp2) ).
fof(c_0_14,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('<stdin>',cp1) ).
fof(c_0_15,axiom,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ unorthogonal_lines(X6,X8) )
=> ~ convergent_lines(X7,X8) ),
file('<stdin>',couo1) ).
fof(c_0_16,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('<stdin>',ceq3) ).
fof(c_0_17,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('<stdin>',ceq2) ).
fof(c_0_18,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('<stdin>',ceq1) ).
fof(c_0_19,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('<stdin>',ax6) ).
fof(c_0_20,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('<stdin>',apart5) ).
fof(c_0_21,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('<stdin>',apart4) ).
fof(c_0_22,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('<stdin>',a5) ).
fof(c_0_23,axiom,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
file('<stdin>',a4) ).
fof(c_0_24,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('<stdin>',a3) ).
fof(c_0_25,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('<stdin>',ax2) ).
fof(c_0_26,axiom,
! [X1,X2] :
( equal_points(X1,X2)
<=> ~ distinct_points(X1,X2) ),
file('<stdin>',ax1) ).
fof(c_0_27,axiom,
! [X6,X9] :
( ( line(X6)
& point(X9) )
=> line(orthogonal_through_point(X6,X9)) ),
file('<stdin>',orth1) ).
fof(c_0_28,axiom,
! [X6,X9] :
( ( line(X6)
& point(X9) )
=> line(parallel_through_point(X6,X9)) ),
file('<stdin>',par1) ).
fof(c_0_29,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('<stdin>',p1) ).
fof(c_0_30,axiom,
! [X6,X7] :
~ ( ~ convergent_lines(X6,X7)
& ~ unorthogonal_lines(X6,X7) ),
file('<stdin>',coipo1) ).
fof(c_0_31,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('<stdin>',occu1) ).
fof(c_0_32,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('<stdin>',apart3) ).
fof(c_0_33,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('<stdin>',apart2) ).
fof(c_0_34,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('<stdin>',apart1) ).
fof(c_0_35,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
c_0_0 ).
fof(c_0_36,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_37,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_38,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_39,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_40,axiom,
! [X9,X6,X7,X8] :
( distinct_lines(X6,X7)
=> ( apart_point_and_line(X9,X6)
| apart_point_and_line(X9,X7)
| unorthogonal_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
c_0_5 ).
fof(c_0_41,plain,
! [X6,X7,X8] :
( ( ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( ~ convergent_lines(X6,X8)
| ~ unorthogonal_lines(X6,X8) ) )
=> ( ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_42,axiom,
! [X6,X7,X8] :
( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
=> ( ( convergent_lines(X6,X8)
& unorthogonal_lines(X6,X8) )
| ( convergent_lines(X7,X8)
& unorthogonal_lines(X7,X8) ) ) ),
c_0_7 ).
fof(c_0_43,axiom,
! [X6,X7] :
( ( line(X6)
& line(X7)
& convergent_lines(X6,X7) )
=> point(intersection_point(X6,X7)) ),
c_0_8 ).
fof(c_0_44,axiom,
! [X9,X10] :
( ( point(X9)
& point(X10)
& distinct_points(X9,X10) )
=> line(line_connecting(X9,X10)) ),
c_0_9 ).
fof(c_0_45,axiom,
! [X1,X2,X3] :
( distinct_lines(X2,X3)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ) ),
c_0_10 ).
fof(c_0_46,plain,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_47,plain,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_48,plain,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_49,plain,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_50,plain,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ unorthogonal_lines(X6,X8) )
=> ~ convergent_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_51,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
c_0_16 ).
fof(c_0_52,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
c_0_17 ).
fof(c_0_53,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
c_0_18 ).
fof(c_0_54,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
c_0_19 ).
fof(c_0_55,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
c_0_20 ).
fof(c_0_56,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
c_0_21 ).
fof(c_0_57,plain,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_58,plain,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_59,plain,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_60,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_61,plain,
! [X1,X2] :
( equal_points(X1,X2)
<=> ~ distinct_points(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_62,axiom,
! [X6,X9] :
( ( line(X6)
& point(X9) )
=> line(orthogonal_through_point(X6,X9)) ),
c_0_27 ).
fof(c_0_63,axiom,
! [X6,X9] :
( ( line(X6)
& point(X9) )
=> line(parallel_through_point(X6,X9)) ),
c_0_28 ).
fof(c_0_64,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
c_0_29 ).
fof(c_0_65,plain,
! [X6,X7] :
~ ( ~ convergent_lines(X6,X7)
& ~ unorthogonal_lines(X6,X7) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_66,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
c_0_31 ).
fof(c_0_67,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_68,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_69,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_70,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9)
| apart_point_and_line(X7,X8)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_71,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_73,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
fof(c_0_74,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
fof(c_0_75,plain,
! [X10,X11,X12,X13] :
( ~ distinct_lines(X11,X12)
| apart_point_and_line(X10,X11)
| apart_point_and_line(X10,X12)
| unorthogonal_lines(X11,X13)
| unorthogonal_lines(X12,X13) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_76,plain,
! [X9,X10,X11] :
( ( convergent_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( convergent_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_77,plain,
! [X9,X10,X11] :
( ( convergent_lines(X10,X11)
| convergent_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( unorthogonal_lines(X10,X11)
| convergent_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( convergent_lines(X10,X11)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( unorthogonal_lines(X10,X11)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])]) ).
fof(c_0_78,plain,
! [X8,X9] :
( ~ line(X8)
| ~ line(X9)
| ~ convergent_lines(X8,X9)
| point(intersection_point(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_79,plain,
! [X11,X12] :
( ~ point(X11)
| ~ point(X12)
| ~ distinct_points(X11,X12)
| line(line_connecting(X11,X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_80,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X5,X6)
| apart_point_and_line(X4,X5)
| apart_point_and_line(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_81,plain,
! [X10,X11] : ~ apart_point_and_line(X10,orthogonal_through_point(X11,X10)),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_82,plain,
! [X10,X11] : ~ unorthogonal_lines(orthogonal_through_point(X11,X10),X11),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_83,plain,
! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_84,plain,
! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_85,plain,
! [X9,X10,X11] :
( unorthogonal_lines(X9,X10)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_87,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_88,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
fof(c_0_89,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])]) ).
fof(c_0_90,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X4,X5)
| distinct_lines(X4,X6)
| distinct_lines(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).
fof(c_0_91,plain,
! [X4,X5,X6] :
( ~ distinct_points(X4,X5)
| distinct_points(X4,X6)
| distinct_points(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
fof(c_0_92,plain,
! [X3,X4,X5,X6] :
( ( ~ orthogonal_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4) )
& ( unorthogonal_lines(X5,X6)
| orthogonal_lines(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
fof(c_0_93,plain,
! [X3,X4,X5,X6] :
( ( ~ incident_point_and_line(X3,X4)
| ~ apart_point_and_line(X3,X4) )
& ( apart_point_and_line(X5,X6)
| incident_point_and_line(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_94,plain,
! [X3,X4,X5,X6] :
( ( ~ parallel_lines(X3,X4)
| ~ convergent_lines(X3,X4) )
& ( convergent_lines(X5,X6)
| parallel_lines(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
fof(c_0_95,plain,
! [X3,X4,X5,X6] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X5,X6)
| equal_lines(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_96,plain,
! [X3,X4,X5,X6] :
( ( ~ equal_points(X3,X4)
| ~ distinct_points(X3,X4) )
& ( distinct_points(X5,X6)
| equal_points(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_97,plain,
! [X10,X11] :
( ~ line(X10)
| ~ point(X11)
| line(orthogonal_through_point(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_98,plain,
! [X10,X11] :
( ~ line(X10)
| ~ point(X11)
| line(parallel_through_point(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
fof(c_0_99,plain,
! [X3,X4] :
( ~ distinct_lines(X3,X4)
| convergent_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).
fof(c_0_100,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
fof(c_0_101,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_102,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_103,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_104,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[c_0_69]) ).
cnf(c_0_105,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_70]) ).
cnf(c_0_106,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_108,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_109,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_110,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_111,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_113,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_114,plain,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_115,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_116,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_117,plain,
( unorthogonal_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_118,plain,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_119,plain,
( point(intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_120,plain,
( line(line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_121,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_122,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_123,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_125,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_126,plain,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_127,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_128,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_129,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_130,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_131,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_132,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_133,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_134,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_135,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_136,plain,
( ~ distinct_lines(X1,X2)
| ~ equal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_137,plain,
( ~ distinct_points(X1,X2)
| ~ equal_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_138,plain,
( line(orthogonal_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_139,plain,
( line(parallel_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_140,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_141,plain,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_142,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_143,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_144,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_145,plain,
( equal_points(X1,X2)
| distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_146,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_147,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_148,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_149,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_150,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_151,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_105,
[final] ).
cnf(c_0_152,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
c_0_106,
[final] ).
cnf(c_0_153,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
c_0_107,
[final] ).
cnf(c_0_154,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
c_0_108,
[final] ).
cnf(c_0_155,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
c_0_109,
[final] ).
cnf(c_0_156,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
c_0_110,
[final] ).
cnf(c_0_157,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_111,
[final] ).
cnf(c_0_158,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_112,
[final] ).
cnf(c_0_159,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_113,
[final] ).
cnf(c_0_160,plain,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_114,
[final] ).
cnf(c_0_161,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_115,
[final] ).
cnf(c_0_162,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_116,
[final] ).
cnf(c_0_163,plain,
( unorthogonal_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_117,
[final] ).
cnf(c_0_164,plain,
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
c_0_118,
[final] ).
cnf(c_0_165,plain,
( point(intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
c_0_119,
[final] ).
cnf(c_0_166,plain,
( line(line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
c_0_120,
[final] ).
cnf(c_0_167,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
c_0_121,
[final] ).
cnf(c_0_168,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
c_0_122,
[final] ).
cnf(c_0_169,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
c_0_123,
[final] ).
cnf(c_0_170,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
c_0_124,
[final] ).
cnf(c_0_171,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
c_0_125,
[final] ).
cnf(c_0_172,plain,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
c_0_126,
[final] ).
cnf(c_0_173,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
c_0_127,
[final] ).
cnf(c_0_174,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
c_0_128,
[final] ).
cnf(c_0_175,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
c_0_129,
[final] ).
cnf(c_0_176,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
c_0_130,
[final] ).
cnf(c_0_177,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
c_0_131,
[final] ).
cnf(c_0_178,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
c_0_132,
[final] ).
cnf(c_0_179,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
c_0_133,
[final] ).
cnf(c_0_180,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
c_0_134,
[final] ).
cnf(c_0_181,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
c_0_135,
[final] ).
cnf(c_0_182,plain,
( ~ distinct_lines(X1,X2)
| ~ equal_lines(X1,X2) ),
c_0_136,
[final] ).
cnf(c_0_183,plain,
( ~ distinct_points(X1,X2)
| ~ equal_points(X1,X2) ),
c_0_137,
[final] ).
cnf(c_0_184,plain,
( line(orthogonal_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
c_0_138,
[final] ).
cnf(c_0_185,plain,
( line(parallel_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
c_0_139,
[final] ).
cnf(c_0_186,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
c_0_140,
[final] ).
cnf(c_0_187,plain,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
c_0_141,
[final] ).
cnf(c_0_188,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
c_0_142,
[final] ).
cnf(c_0_189,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
c_0_143,
[final] ).
cnf(c_0_190,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
c_0_144,
[final] ).
cnf(c_0_191,plain,
( equal_points(X1,X2)
| distinct_points(X1,X2) ),
c_0_145,
[final] ).
cnf(c_0_192,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
c_0_146,
[final] ).
cnf(c_0_193,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
c_0_147,
[final] ).
cnf(c_0_194,plain,
~ convergent_lines(X1,X1),
c_0_148,
[final] ).
cnf(c_0_195,plain,
~ distinct_lines(X1,X1),
c_0_149,
[final] ).
cnf(c_0_196,plain,
~ distinct_points(X1,X1),
c_0_150,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_151_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_151]) ).
cnf(c_0_151_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_151]) ).
cnf(c_0_151_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_151]) ).
cnf(c_0_151_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_151]) ).
cnf(c_0_151_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_151]) ).
cnf(c_0_151_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_151]) ).
cnf(c_0_152_0,axiom,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X1,line_connecting(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( apart_point_and_line(X4,X1)
| unorthogonal_lines(X3,X2)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_3,axiom,
( apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X1)
| unorthogonal_lines(X3,X2)
| unorthogonal_lines(X1,X2)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_4,axiom,
( ~ distinct_lines(X3,X1)
| apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X1)
| unorthogonal_lines(X3,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_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_157]) ).
cnf(c_0_157_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_157]) ).
cnf(c_0_157_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_157]) ).
cnf(c_0_157_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_157]) ).
cnf(c_0_158_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_158]) ).
cnf(c_0_158_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_158]) ).
cnf(c_0_158_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_158]) ).
cnf(c_0_158_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_158]) ).
cnf(c_0_159_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_159]) ).
cnf(c_0_159_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_159]) ).
cnf(c_0_159_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_159]) ).
cnf(c_0_159_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_159]) ).
cnf(c_0_160_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_160]) ).
cnf(c_0_160_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_160]) ).
cnf(c_0_160_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_160]) ).
cnf(c_0_160_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_160]) ).
cnf(c_0_161_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_161]) ).
cnf(c_0_161_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_161]) ).
cnf(c_0_161_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_161]) ).
cnf(c_0_161_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_161]) ).
cnf(c_0_162_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_162]) ).
cnf(c_0_162_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_162]) ).
cnf(c_0_162_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_162]) ).
cnf(c_0_162_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_162]) ).
cnf(c_0_163_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_163]) ).
cnf(c_0_163_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_163]) ).
cnf(c_0_163_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_163]) ).
cnf(c_0_163_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_163]) ).
cnf(c_0_164_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_164]) ).
cnf(c_0_164_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_164]) ).
cnf(c_0_164_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_164]) ).
cnf(c_0_164_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_164]) ).
cnf(c_0_165_0,axiom,
( point(intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( ~ convergent_lines(X1,X2)
| point(intersection_point(X1,X2))
| ~ line(X2)
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ line(X2)
| ~ convergent_lines(X1,X2)
| point(intersection_point(X1,X2))
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_3,axiom,
( ~ line(X1)
| ~ line(X2)
| ~ convergent_lines(X1,X2)
| point(intersection_point(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( line(line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ~ point(X2)
| ~ point(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( ~ distinct_points(X1,X2)
| line(line_connecting(X1,X2))
| ~ point(X2)
| ~ point(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( ~ point(X2)
| ~ distinct_points(X1,X2)
| line(line_connecting(X1,X2))
| ~ point(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_3,axiom,
( ~ point(X1)
| ~ point(X2)
| ~ distinct_points(X1,X2)
| line(line_connecting(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( apart_point_and_line(X3,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_3,axiom,
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_172_0,axiom,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_2,axiom,
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X3,X1)
| unorthogonal_lines(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( distinct_lines(X3,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( ~ convergent_lines(X1,X3)
| distinct_lines(X3,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( distinct_lines(X3,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ apart_point_and_line(X1,X3)
| distinct_lines(X3,X2)
| apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( distinct_points(X3,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_2,axiom,
( ~ apart_point_and_line(X3,X2)
| distinct_points(X3,X1)
| apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( convergent_lines(X3,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_2,axiom,
( ~ convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( distinct_lines(X3,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_2,axiom,
( ~ distinct_lines(X3,X1)
| distinct_lines(X3,X2)
| distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( distinct_points(X3,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_2,axiom,
( ~ distinct_points(X3,X1)
| distinct_points(X3,X2)
| distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( ~ orthogonal_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_180_0,axiom,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_1,axiom,
( ~ incident_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_181_0,axiom,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_1,axiom,
( ~ parallel_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_0,axiom,
( ~ distinct_lines(X1,X2)
| ~ equal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_0,axiom,
( ~ distinct_points(X1,X2)
| ~ equal_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( ~ equal_points(X1,X2)
| ~ distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_0,axiom,
( line(orthogonal_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_1,axiom,
( ~ point(X2)
| line(orthogonal_through_point(X1,X2))
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_2,axiom,
( ~ line(X1)
| ~ point(X2)
| line(orthogonal_through_point(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_0,axiom,
( line(parallel_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( ~ point(X2)
| line(parallel_through_point(X1,X2))
| ~ line(X1) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_2,axiom,
( ~ line(X1)
| ~ point(X2)
| line(parallel_through_point(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_186_0,axiom,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_0,axiom,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_1,axiom,
( unorthogonal_lines(X1,X2)
| orthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_188_0,axiom,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( apart_point_and_line(X1,X2)
| incident_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( convergent_lines(X1,X2)
| parallel_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_1,axiom,
( distinct_lines(X1,X2)
| equal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
( equal_points(X1,X2)
| distinct_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_1,axiom,
( distinct_points(X1,X2)
| equal_points(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_1,axiom,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_168_0,axiom,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_194_0,axiom,
~ convergent_lines(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_0,axiom,
~ distinct_lines(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
~ distinct_points(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1,X2] :
( ( point(X1)
& line(X2) )
=> ? [X3] :
( point(X3)
& incident_point_and_line(X3,X2) ) ),
file('<stdin>',con) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1,X2] :
( ( point(X1)
& line(X2) )
=> ? [X3] :
( point(X3)
& incident_point_and_line(X3,X2) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
! [X6] :
( point(esk1_0)
& line(esk2_0)
& ( ~ point(X6)
| ~ incident_point_and_line(X6,esk2_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3_004,negated_conjecture,
( ~ incident_point_and_line(X1,esk2_0)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
point(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
line(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
( ~ incident_point_and_line(X1,esk2_0)
| ~ point(X1) ),
c_0_3,
[final] ).
cnf(c_0_7_008,negated_conjecture,
point(esk1_0),
c_0_4,
[final] ).
cnf(c_0_8_009,negated_conjecture,
line(esk2_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_116,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_152_0) ).
cnf(c_293,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(copy,[status(esa)],[c_116]) ).
cnf(c_23400,plain,
( ~ convergent_lines(orthogonal_through_point(X0,X1),X0)
| ~ apart_point_and_line(intersection_point(orthogonal_through_point(X0,X1),X0),X0) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_23849,plain,
( ~ convergent_lines(orthogonal_through_point(sk2_esk2_0,X0),sk2_esk2_0)
| ~ apart_point_and_line(intersection_point(orthogonal_through_point(sk2_esk2_0,X0),sk2_esk2_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_23400]) ).
cnf(c_82827,plain,
( ~ convergent_lines(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0)
| ~ apart_point_and_line(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_23849]) ).
cnf(c_18,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_188_0) ).
cnf(c_195,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_51803,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(X0,sk2_esk1_0),X0),sk2_esk2_0)
| incident_point_and_line(intersection_point(orthogonal_through_point(X0,sk2_esk1_0),X0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_51805,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0),sk2_esk2_0)
| incident_point_and_line(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_51803]) ).
cnf(c_5,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_169_0) ).
cnf(c_182,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_24721,plain,
~ unorthogonal_lines(orthogonal_through_point(X0,sk2_esk1_0),X0),
inference(instantiation,[status(thm)],[c_182]) ).
cnf(c_24722,plain,
~ unorthogonal_lines(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0),
inference(instantiation,[status(thm)],[c_24721]) ).
cnf(c_123,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_6) ).
cnf(c_156,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
inference(copy,[status(esa)],[c_123]) ).
cnf(c_168,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
inference(copy,[status(esa)],[c_156]) ).
cnf(c_173,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
inference(copy,[status(esa)],[c_168]) ).
cnf(c_174,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
inference(copy,[status(esa)],[c_173]) ).
cnf(c_300,negated_conjecture,
( ~ incident_point_and_line(X0,sk2_esk2_0)
| ~ point(X0) ),
inference(copy,[status(esa)],[c_174]) ).
cnf(c_23908,plain,
( ~ incident_point_and_line(intersection_point(orthogonal_through_point(X0,sk2_esk1_0),X0),sk2_esk2_0)
| ~ point(intersection_point(orthogonal_through_point(X0,sk2_esk1_0),X0)) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_23909,plain,
( ~ incident_point_and_line(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0),sk2_esk2_0)
| ~ point(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_23908]) ).
cnf(c_7,plain,
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_193_1) ).
cnf(c_184,plain,
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_23344,plain,
( convergent_lines(orthogonal_through_point(X0,X1),X0)
| unorthogonal_lines(orthogonal_through_point(X0,X1),X0) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_23795,plain,
( convergent_lines(orthogonal_through_point(X0,sk2_esk1_0),X0)
| unorthogonal_lines(orthogonal_through_point(X0,sk2_esk1_0),X0) ),
inference(instantiation,[status(thm)],[c_23344]) ).
cnf(c_23796,plain,
( convergent_lines(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0)
| unorthogonal_lines(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_23795]) ).
cnf(c_71,plain,
( ~ line(X0)
| ~ line(X1)
| ~ convergent_lines(X0,X1)
| point(intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_165_0) ).
cnf(c_248,plain,
( ~ line(X0)
| ~ line(X1)
| ~ convergent_lines(X0,X1)
| point(intersection_point(X0,X1)) ),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_23406,plain,
( ~ convergent_lines(orthogonal_through_point(X0,X1),X0)
| ~ line(orthogonal_through_point(X0,X1))
| ~ line(X0)
| point(intersection_point(orthogonal_through_point(X0,X1),X0)) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_23510,plain,
( ~ convergent_lines(orthogonal_through_point(X0,sk2_esk1_0),X0)
| ~ line(orthogonal_through_point(X0,sk2_esk1_0))
| ~ line(X0)
| point(intersection_point(orthogonal_through_point(X0,sk2_esk1_0),X0)) ),
inference(instantiation,[status(thm)],[c_23406]) ).
cnf(c_23511,plain,
( ~ convergent_lines(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0)
| ~ line(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0))
| ~ line(sk2_esk2_0)
| point(intersection_point(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0),sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_23510]) ).
cnf(c_26,plain,
( line(orthogonal_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_184_2) ).
cnf(c_203,plain,
( line(orthogonal_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(copy,[status(esa)],[c_26]) ).
cnf(c_23334,plain,
( line(orthogonal_through_point(X0,sk2_esk1_0))
| ~ line(X0)
| ~ point(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_23335,plain,
( line(orthogonal_through_point(sk2_esk2_0,sk2_esk1_0))
| ~ line(sk2_esk2_0)
| ~ point(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_23334]) ).
cnf(c_124,negated_conjecture,
point(sk2_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_7) ).
cnf(c_125,negated_conjecture,
line(sk2_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p',c_0_8) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_82827,c_51805,c_24722,c_23909,c_23796,c_23511,c_23335,c_124,c_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 15:34:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % FOF problem with conjecture
% 0.21/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_10bffe | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ 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 %
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % ------ Problem Properties
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % EPR false
% 0.21/0.45 % Horn false
% 0.21/0.45 % Has equality false
% 0.21/0.45
% 0.21/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % % ------ Current options:
% 0.21/0.45
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % warning: shown sat in sat incomplete mode
% 0.21/0.45 %
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 cnf(c_77,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_6) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_109,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_77]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_121,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_109]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_126,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_121]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_127,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_126]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_364,negated_conjecture,
% 0.21/0.45 ( ~ point(X0) | ~ incident_point_and_line(X0,sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_127]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_55,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1) | incident_point_and_line(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_161_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_320,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1) | incident_point_and_line(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_55]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_378,plain,
% 0.21/0.45 ( apart_point_and_line(X0,sk3_esk2_0) | ~ point(X0) ),
% 0.21/0.45 inference(resolution,[status(thm)],[c_364,c_320]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_379,plain,
% 0.21/0.45 ( apart_point_and_line(X0,sk3_esk2_0) | ~ point(X0) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_378]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_72,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X3)
% 0.21/0.45 | unorthogonal_lines(X2,X3)
% 0.21/0.45 | ~ distinct_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_144_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_354,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X3)
% 0.21/0.45 | unorthogonal_lines(X2,X3)
% 0.21/0.45 | ~ distinct_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_72]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_355,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | ~ distinct_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X3)
% 0.21/0.45 | unorthogonal_lines(X2,X3) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_354]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_71,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | ~ distinct_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_145_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_352,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | ~ distinct_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_71]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_353,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | ~ distinct_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X1,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_352]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_70,plain,
% 0.21/0.45 ( ~ line(X0)
% 0.21/0.45 | ~ line(X1)
% 0.21/0.45 | ~ convergent_lines(X0,X1)
% 0.21/0.45 | point(intersection_point(X0,X1)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_146_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_350,plain,
% 0.21/0.45 ( ~ line(X0)
% 0.21/0.45 | ~ line(X1)
% 0.21/0.45 | ~ convergent_lines(X0,X1)
% 0.21/0.45 | point(intersection_point(X0,X1)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_70]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_351,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ line(X0)
% 0.21/0.45 | ~ line(X1)
% 0.21/0.45 | point(intersection_point(X0,X1)) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_350]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_69,plain,
% 0.21/0.45 ( ~ point(X0)
% 0.21/0.45 | ~ point(X1)
% 0.21/0.45 | ~ distinct_points(X0,X1)
% 0.21/0.45 | line(line_connecting(X0,X1)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_147_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_348,plain,
% 0.21/0.45 ( ~ point(X0)
% 0.21/0.45 | ~ point(X1)
% 0.21/0.45 | ~ distinct_points(X0,X1)
% 0.21/0.45 | line(line_connecting(X0,X1)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_69]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_349,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | line(line_connecting(X0,X1))
% 0.21/0.45 | ~ point(X0)
% 0.21/0.45 | ~ point(X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_348]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_68,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_148_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_346,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_68]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_347,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_346]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_66,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | apart_point_and_line(X2,X1)
% 0.21/0.45 | ~ apart_point_and_line(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_150_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_342,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | apart_point_and_line(X2,X1)
% 0.21/0.45 | ~ apart_point_and_line(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_66]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_343,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | ~ apart_point_and_line(X0,X2)
% 0.21/0.45 | distinct_lines(X2,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_342]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_65,plain,
% 0.21/0.45 ( distinct_points(X0,X1)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | ~ apart_point_and_line(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_151_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_340,plain,
% 0.21/0.45 ( distinct_points(X0,X1)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | ~ apart_point_and_line(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_65]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_341,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | ~ apart_point_and_line(X2,X1)
% 0.21/0.45 | distinct_points(X2,X0) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_340]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_51,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | ~ distinct_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_165_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_312,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | ~ distinct_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_51]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_313,plain,
% 0.21/0.45 ( ~ distinct_lines(X0,X1) | convergent_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_312]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_50,plain,
% 0.21/0.45 ( ~ line(X0) | ~ point(X1) | line(orthogonal_through_point(X0,X1)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_166_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_310,plain,
% 0.21/0.45 ( ~ line(X0) | ~ point(X1) | line(orthogonal_through_point(X0,X1)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_50]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_311,plain,
% 0.21/0.45 ( line(orthogonal_through_point(X0,X1)) | ~ line(X0) | ~ point(X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_310]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_49,plain,
% 0.21/0.45 ( ~ line(X0) | ~ point(X1) | line(parallel_through_point(X0,X1)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_167_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_308,plain,
% 0.21/0.45 ( ~ line(X0) | ~ point(X1) | line(parallel_through_point(X0,X1)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_49]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_309,plain,
% 0.21/0.45 ( line(parallel_through_point(X0,X1)) | ~ line(X0) | ~ point(X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_308]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_33,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_33_3) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_276,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_33]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_277,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | ~ convergent_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X2,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_276]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_32,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_33_2) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_274,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_32]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_275,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_274]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_30,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_33_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_270,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_30]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_271,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_270]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_29,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_32_3) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_268,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_29]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_269,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | ~ convergent_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_268]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_26,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | convergent_lines(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_32_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_262,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | convergent_lines(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_26]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_263,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_262]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_25,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_31_3) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_260,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_25]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_261,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X1,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_260]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_22,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | convergent_lines(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_31_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_254,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | convergent_lines(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_22]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_255,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_254]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_17,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_29_3) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_244,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_17]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_245,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | ~ convergent_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X2,X0) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_244]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_16,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_29_2) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_242,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_16]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_243,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_242]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_14,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_29_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_238,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_14]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_239,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_238]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_13,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_28_3) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_236,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X2)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_13]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_237,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | ~ convergent_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_236]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_10,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_28_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_230,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_10]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_231,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X1,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_230]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_6,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_27_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_222,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_6]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_223,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X1,X2)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_222]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_2,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X1,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_26_2) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_214,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X1,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_2]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_215,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X2,X3)
% 0.21/0.45 | apart_point_and_line(X2,X1)
% 0.21/0.45 | apart_point_and_line(X0,X3)
% 0.21/0.45 | ~ distinct_lines(X1,X3)
% 0.21/0.45 | ~ distinct_points(X0,X2) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_214]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_1,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3)
% 0.21/0.45 | apart_point_and_line(X1,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_26_1) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_212,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3)
% 0.21/0.45 | apart_point_and_line(X1,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_1]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_213,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X3,X2)
% 0.21/0.45 | apart_point_and_line(X3,X1)
% 0.21/0.45 | ~ distinct_lines(X1,X2)
% 0.21/0.45 | ~ distinct_points(X0,X3) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_212]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_0,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | apart_point_and_line(X1,X3) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_26_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_210,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1)
% 0.21/0.45 | ~ distinct_lines(X2,X3)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X0,X3)
% 0.21/0.45 | apart_point_and_line(X1,X2)
% 0.21/0.45 | apart_point_and_line(X1,X3) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_0]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_211,plain,
% 0.21/0.45 ( apart_point_and_line(X0,X1)
% 0.21/0.45 | apart_point_and_line(X0,X2)
% 0.21/0.45 | apart_point_and_line(X3,X1)
% 0.21/0.45 | apart_point_and_line(X3,X2)
% 0.21/0.45 | ~ distinct_lines(X1,X2)
% 0.21/0.45 | ~ distinct_points(X0,X3) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_210]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_79,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_8) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_113,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_79]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_123,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_113]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_124,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_123]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_129,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_124]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_368,negated_conjecture,
% 0.21/0.45 ( line(sk3_esk2_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_129]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_78,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_7) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_111,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_78]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_122,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_111]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_125,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_122]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_128,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_125]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_366,negated_conjecture,
% 0.21/0.45 ( point(sk3_esk1_0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_128]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_76,plain,
% 0.21/0.45 ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
% 0.21/0.45 | ~ convergent_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_140_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_362,plain,
% 0.21/0.45 ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
% 0.21/0.45 | ~ convergent_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_76]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_75,plain,
% 0.21/0.45 ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
% 0.21/0.45 | ~ convergent_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_141_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_360,plain,
% 0.21/0.45 ( ~ apart_point_and_line(intersection_point(X0,X1),X0)
% 0.21/0.45 | ~ convergent_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_75]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_74,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,line_connecting(X1,X0))
% 0.21/0.45 | ~ distinct_points(X1,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_142_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_358,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,line_connecting(X1,X0))
% 0.21/0.45 | ~ distinct_points(X1,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_74]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_73,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
% 0.21/0.45 | ~ distinct_points(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_143_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_356,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,line_connecting(X0,X1))
% 0.21/0.45 | ~ distinct_points(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_73]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_67,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ convergent_lines(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_149_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_344,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ convergent_lines(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_67]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_64,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_152_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_338,plain,
% 0.21/0.45 ( convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ convergent_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_64]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_63,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | distinct_lines(X2,X1)
% 0.21/0.45 | ~ distinct_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_153_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_336,plain,
% 0.21/0.45 ( distinct_lines(X0,X1)
% 0.21/0.45 | distinct_lines(X2,X1)
% 0.21/0.45 | ~ distinct_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_63]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_62,plain,
% 0.21/0.45 ( distinct_points(X0,X1)
% 0.21/0.45 | distinct_points(X2,X1)
% 0.21/0.45 | ~ distinct_points(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_154_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_334,plain,
% 0.21/0.45 ( distinct_points(X0,X1)
% 0.21/0.45 | distinct_points(X2,X1)
% 0.21/0.45 | ~ distinct_points(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_62]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_61,plain,
% 0.21/0.45 ( ~ unorthogonal_lines(X0,X1) | ~ orthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_155_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_332,plain,
% 0.21/0.45 ( ~ unorthogonal_lines(X0,X1) | ~ orthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_61]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_60,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,X1) | ~ incident_point_and_line(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_156_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_330,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,X1) | ~ incident_point_and_line(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_60]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_59,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1) | ~ parallel_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_157_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_328,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1) | ~ parallel_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_59]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_58,plain,
% 0.21/0.45 ( ~ distinct_lines(X0,X1) | ~ equal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_158_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_326,plain,
% 0.21/0.45 ( ~ distinct_lines(X0,X1) | ~ equal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_58]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_57,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1) | ~ equal_points(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_159_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_324,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X1) | ~ equal_points(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_57]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_56,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1) | orthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_160_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_322,plain,
% 0.21/0.45 ( unorthogonal_lines(X0,X1) | orthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_56]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_54,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | parallel_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_162_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_318,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | parallel_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_54]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_53,plain,
% 0.21/0.45 ( distinct_lines(X0,X1) | equal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_163_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_316,plain,
% 0.21/0.45 ( distinct_lines(X0,X1) | equal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_53]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_52,plain,
% 0.21/0.45 ( distinct_points(X0,X1) | equal_points(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_164_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_314,plain,
% 0.21/0.45 ( distinct_points(X0,X1) | equal_points(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_52]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_48,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_168_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_306,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_48]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_47,plain,
% 0.21/0.45 ( ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_169_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_304,plain,
% 0.21/0.45 ( ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_47]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_46,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,parallel_through_point(X1,X0)) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_170_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_302,plain,
% 0.21/0.45 ( ~ apart_point_and_line(X0,parallel_through_point(X1,X0)) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_46]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_45,plain,
% 0.21/0.45 ( ~ convergent_lines(parallel_through_point(X0,X1),X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_171_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_300,plain,
% 0.21/0.45 ( ~ convergent_lines(parallel_through_point(X0,X1),X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_45]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_44,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_172_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_298,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_44]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_43,plain,
% 0.21/0.45 ( ~ distinct_lines(X0,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_173_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_296,plain,
% 0.21/0.45 ( ~ distinct_lines(X0,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_43]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_42,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_174_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_294,plain,
% 0.21/0.45 ( ~ distinct_points(X0,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_42]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_38,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | unorthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_35_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_286,plain,
% 0.21/0.45 ( convergent_lines(X0,X1) | unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_38]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_35,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_34_1) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_280,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_35]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_34,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_34_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_278,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | unorthogonal_lines(X2,X0) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_34]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_28,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_32_2) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_266,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | unorthogonal_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_28]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_23,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | convergent_lines(X2,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_31_1) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_256,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | convergent_lines(X2,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_23]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_257,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X2,X0)
% 0.21/0.45 | convergent_lines(X2,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(rewriting,[status(thm)],[c_256]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_20,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_30_2) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_250,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_20]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_19,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_30_1) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_248,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_19]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_18,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2) ),
% 0.21/0.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_30_0) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_246,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | unorthogonal_lines(X0,X2) ),
% 0.21/0.45 inference(copy,[status(esa)],[c_18]) ).
% 0.21/0.45
% 0.21/0.45 cnf(c_12,plain,
% 0.21/0.45 ( ~ convergent_lines(X0,X1)
% 0.21/0.45 | convergent_lines(X0,X2)
% 0.21/0.45 | unorthogonal_lines(X1,X2)
% 0.21/0.45 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_28_2) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_234,plain,
% 0.21/0.46 ( ~ convergent_lines(X0,X1)
% 0.21/0.46 | convergent_lines(X0,X2)
% 0.21/0.46 | unorthogonal_lines(X1,X2)
% 0.21/0.46 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.46 inference(copy,[status(esa)],[c_12]) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_7,plain,
% 0.21/0.46 ( ~ convergent_lines(X0,X1)
% 0.21/0.46 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.46 | convergent_lines(X0,X2)
% 0.21/0.46 | convergent_lines(X1,X2) ),
% 0.21/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_27_1) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_224,plain,
% 0.21/0.46 ( ~ convergent_lines(X0,X1)
% 0.21/0.46 | ~ unorthogonal_lines(X0,X1)
% 0.21/0.46 | convergent_lines(X0,X2)
% 0.21/0.46 | convergent_lines(X1,X2) ),
% 0.21/0.46 inference(copy,[status(esa)],[c_7]) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_225,plain,
% 0.21/0.46 ( ~ convergent_lines(X0,X1)
% 0.21/0.46 | convergent_lines(X0,X2)
% 0.21/0.46 | convergent_lines(X1,X2)
% 0.21/0.46 | ~ unorthogonal_lines(X0,X1) ),
% 0.21/0.46 inference(rewriting,[status(thm)],[c_224]) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_3,plain,
% 0.21/0.46 ( ~ distinct_points(X0,X1)
% 0.21/0.46 | ~ distinct_lines(X2,X3)
% 0.21/0.46 | apart_point_and_line(X1,X3)
% 0.21/0.46 | apart_point_and_line(X1,X2)
% 0.21/0.46 | apart_point_and_line(X0,X3)
% 0.21/0.46 | apart_point_and_line(X0,X2) ),
% 0.21/0.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p', c_0_26_3) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_216,plain,
% 0.21/0.46 ( ~ distinct_points(X0,X1)
% 0.21/0.46 | ~ distinct_lines(X2,X3)
% 0.21/0.46 | apart_point_and_line(X1,X3)
% 0.21/0.46 | apart_point_and_line(X1,X2)
% 0.21/0.46 | apart_point_and_line(X0,X3)
% 0.21/0.46 | apart_point_and_line(X0,X2) ),
% 0.21/0.46 inference(copy,[status(esa)],[c_3]) ).
% 0.21/0.46
% 0.21/0.46 cnf(c_217,plain,
% 0.21/0.46 ( apart_point_and_line(X0,X1)
% 0.21/0.46 | apart_point_and_line(X0,X2)
% 0.21/0.46 | apart_point_and_line(X3,X1)
% 0.21/0.46 | apart_point_and_line(X3,X2)
% 0.21/0.46 | ~ distinct_lines(X2,X1)
% 0.21/0.46 | ~ distinct_points(X3,X0) ),
% 0.21/0.46 inference(rewriting,[status(thm)],[c_216]) ).
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % ------ Statistics
% 0.21/0.46
% 0.21/0.46 % ------ General
% 0.21/0.46
% 0.21/0.46 % num_of_input_clauses: 80
% 0.21/0.46 % num_of_input_neg_conjectures: 3
% 0.21/0.46 % num_of_splits: 0
% 0.21/0.46 % num_of_split_atoms: 0
% 0.21/0.46 % num_of_sem_filtered_clauses: 0
% 0.21/0.46 % num_of_subtypes: 0
% 0.21/0.46 % monotx_restored_types: 0
% 0.21/0.46 % sat_num_of_epr_types: 0
% 0.21/0.46 % sat_num_of_non_cyclic_types: 0
% 0.21/0.46 % sat_guarded_non_collapsed_types: 0
% 0.21/0.46 % is_epr: 0
% 0.21/0.46 % is_horn: 0
% 0.21/0.46 % has_eq: 0
% 0.21/0.46 % num_pure_diseq_elim: 0
% 0.21/0.46 % simp_replaced_by: 0
% 0.21/0.46 % res_preprocessed: 6
% 0.21/0.46 % prep_upred: 0
% 0.21/0.46 % prep_unflattend: 0
% 0.21/0.46 % pred_elim_cands: 0
% 0.21/0.46 % pred_elim: 0
% 0.21/0.46 % pred_elim_cl: 0
% 0.21/0.46 % pred_elim_cycles: 0
% 0.21/0.46 % forced_gc_time: 0
% 0.21/0.46 % gc_basic_clause_elim: 0
% 0.21/0.46 % parsing_time: 0.002
% 0.21/0.46 % sem_filter_time: 0.
% 0.21/0.46 % pred_elim_time: 0.
% 0.21/0.46 % out_proof_time: 0.
% 0.21/0.46 % monotx_time: 0.
% 0.21/0.46 % subtype_inf_time: 0.
% 0.21/0.46 % unif_index_cands_time: 0.
% 0.21/0.46 % unif_index_add_time: 0.
% 0.21/0.46 % total_time: 0.034
% 0.21/0.46 % num_of_symbols: 43
% 0.21/0.46 % num_of_terms: 192
% 0.21/0.46
% 0.21/0.46 % ------ Propositional Solver
% 0.21/0.46
% 0.21/0.46 % prop_solver_calls: 1
% 0.21/0.46 % prop_fast_solver_calls: 12
% 0.21/0.46 % prop_num_of_clauses: 85
% 0.21/0.46 % prop_preprocess_simplified: 263
% 0.21/0.46 % prop_fo_subsumed: 0
% 0.21/0.46 % prop_solver_time: 0.
% 0.21/0.46 % prop_fast_solver_time: 0.
% 0.21/0.46 % prop_unsat_core_time: 0.
% 0.21/0.46
% 0.21/0.46 % ------ QBF
% 0.21/0.46
% 0.21/0.46 % qbf_q_res: 0
% 0.21/0.46 % qbf_num_tautologies: 0
% 0.21/0.46 % qbf_prep_cycles: 0
% 0.21/0.46
% 0.21/0.46 % ------ BMC1
% 0.21/0.46
% 0.21/0.46 % bmc1_current_bound: -1
% 0.21/0.46 % bmc1_last_solved_bound: -1
% 0.21/0.46 % bmc1_unsat_core_size: -1
% 0.21/0.46 % bmc1_unsat_core_parents_size: -1
% 0.21/0.46 % bmc1_merge_next_fun: 0
% 0.21/0.46 % bmc1_unsat_core_clauses_time: 0.
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation
% 0.21/0.46
% 0.21/0.46 % inst_num_of_clauses: 78
% 0.21/0.46 % inst_num_in_passive: 0
% 0.21/0.46 % inst_num_in_active: 0
% 0.21/0.46 % inst_num_in_unprocessed: 80
% 0.21/0.46 % inst_num_of_loops: 0
% 0.21/0.46 % inst_num_of_learning_restarts: 0
% 0.21/0.46 % inst_num_moves_active_passive: 0
% 0.21/0.46 % inst_lit_activity: 0
% 0.21/0.46 % inst_lit_activity_moves: 0
% 0.21/0.46 % inst_num_tautologies: 0
% 0.21/0.46 % inst_num_prop_implied: 0
% 0.21/0.46 % inst_num_existing_simplified: 0
% 0.21/0.46 % inst_num_eq_res_simplified: 0
% 0.21/0.46 % inst_num_child_elim: 0
% 0.21/0.46 % inst_num_of_dismatching_blockings: 0
% 0.21/0.46 % inst_num_of_non_proper_insts: 0
% 0.21/0.46 % inst_num_of_duplicates: 0
% 0.21/0.46 % inst_inst_num_from_inst_to_res: 0
% 0.21/0.46 % inst_dismatching_checking_time: 0.
% 0.21/0.46
% 0.21/0.46 % ------ Resolution
% 0.21/0.46
% 0.21/0.46 % res_num_of_clauses: 104
% 0.21/0.46 % res_num_in_passive: 0
% 0.21/0.46 % res_num_in_active: 66
% 0.21/0.46 % res_num_of_loops: 7
% 0.21/0.46 % res_forward_subset_subsumed: 13
% 0.21/0.46 % res_backward_subset_subsumed: 2
% 0.21/0.46 % res_forward_subsumed: 2
% 0.21/0.46 % res_backward_subsumed: 0
% 0.21/0.46 % res_forward_subsumption_resolution: 0
% 0.21/0.46 % res_backward_subsumption_resolution: 0
% 0.21/0.46 % res_clause_to_clause_subsumption: 4
% 0.21/0.46 % res_orphan_elimination: 0
% 0.21/0.46 % res_tautology_del: 0
% 0.21/0.46 % res_num_eq_res_simplified: 0
% 0.21/0.46 % res_num_sel_changes: 0
% 0.21/0.46 % res_moves_from_active_to_pass: 0
% 0.21/0.46
% 0.21/0.46 % Status Unknown
% 0.21/0.50 % Orienting using strategy ClausalAll
% 0.21/0.50 % FOF problem with conjecture
% 0.21/0.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_659ec7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_5a5204 | grep -v "SZS"
% 0.21/0.53
% 0.21/0.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.53
% 0.21/0.53 %
% 0.21/0.53 % ------ iProver source info
% 0.21/0.53
% 0.21/0.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.53 % git: non_committed_changes: true
% 0.21/0.53 % git: last_make_outside_of_git: true
% 0.21/0.53
% 0.21/0.53 %
% 0.21/0.53 % ------ Input Options
% 0.21/0.53
% 0.21/0.53 % --out_options all
% 0.21/0.53 % --tptp_safe_out true
% 0.21/0.53 % --problem_path ""
% 0.21/0.53 % --include_path ""
% 0.21/0.53 % --clausifier .//eprover
% 0.21/0.53 % --clausifier_options --tstp-format
% 0.21/0.53 % --stdin false
% 0.21/0.53 % --dbg_backtrace false
% 0.21/0.53 % --dbg_dump_prop_clauses false
% 0.21/0.53 % --dbg_dump_prop_clauses_file -
% 0.21/0.53 % --dbg_out_stat false
% 0.21/0.53
% 0.21/0.53 % ------ General Options
% 0.21/0.53
% 0.21/0.53 % --fof false
% 0.21/0.53 % --time_out_real 150.
% 0.21/0.53 % --time_out_prep_mult 0.2
% 0.21/0.53 % --time_out_virtual -1.
% 0.21/0.53 % --schedule none
% 0.21/0.53 % --ground_splitting input
% 0.21/0.53 % --splitting_nvd 16
% 0.21/0.53 % --non_eq_to_eq false
% 0.21/0.53 % --prep_gs_sim true
% 0.21/0.53 % --prep_unflatten false
% 0.21/0.53 % --prep_res_sim true
% 0.21/0.53 % --prep_upred true
% 0.21/0.53 % --res_sim_input true
% 0.21/0.53 % --clause_weak_htbl true
% 0.21/0.53 % --gc_record_bc_elim false
% 0.21/0.53 % --symbol_type_check false
% 0.21/0.53 % --clausify_out false
% 0.21/0.53 % --large_theory_mode false
% 0.21/0.53 % --prep_sem_filter none
% 0.21/0.53 % --prep_sem_filter_out false
% 0.21/0.53 % --preprocessed_out false
% 0.21/0.53 % --sub_typing false
% 0.21/0.53 % --brand_transform false
% 0.21/0.53 % --pure_diseq_elim true
% 0.21/0.53 % --min_unsat_core false
% 0.21/0.53 % --pred_elim true
% 0.21/0.53 % --add_important_lit false
% 0.21/0.53 % --soft_assumptions false
% 0.21/0.53 % --reset_solvers false
% 0.21/0.53 % --bc_imp_inh []
% 0.21/0.53 % --conj_cone_tolerance 1.5
% 0.21/0.53 % --prolific_symb_bound 500
% 0.21/0.53 % --lt_threshold 2000
% 0.21/0.53
% 0.21/0.53 % ------ SAT Options
% 0.21/0.53
% 0.21/0.53 % --sat_mode false
% 0.21/0.53 % --sat_fm_restart_options ""
% 0.21/0.53 % --sat_gr_def false
% 0.21/0.53 % --sat_epr_types true
% 0.21/0.53 % --sat_non_cyclic_types false
% 0.21/0.53 % --sat_finite_models false
% 0.21/0.53 % --sat_fm_lemmas false
% 0.21/0.53 % --sat_fm_prep false
% 0.21/0.53 % --sat_fm_uc_incr true
% 0.21/0.53 % --sat_out_model small
% 0.21/0.53 % --sat_out_clauses false
% 0.21/0.53
% 0.21/0.53 % ------ QBF Options
% 0.21/0.53
% 0.21/0.53 % --qbf_mode false
% 0.21/0.53 % --qbf_elim_univ true
% 0.21/0.53 % --qbf_sk_in true
% 0.21/0.53 % --qbf_pred_elim true
% 0.21/0.53 % --qbf_split 32
% 0.21/0.53
% 0.21/0.53 % ------ BMC1 Options
% 0.21/0.53
% 0.21/0.53 % --bmc1_incremental false
% 0.21/0.53 % --bmc1_axioms reachable_all
% 0.21/0.53 % --bmc1_min_bound 0
% 0.21/0.53 % --bmc1_max_bound -1
% 0.21/0.53 % --bmc1_max_bound_default -1
% 0.21/0.53 % --bmc1_symbol_reachability true
% 0.21/0.53 % --bmc1_property_lemmas false
% 0.21/0.53 % --bmc1_k_induction false
% 0.21/0.53 % --bmc1_non_equiv_states false
% 0.21/0.53 % --bmc1_deadlock false
% 0.21/0.53 % --bmc1_ucm false
% 0.21/0.53 % --bmc1_add_unsat_core none
% 0.21/0.53 % --bmc1_unsat_core_children false
% 0.21/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.53 % --bmc1_out_stat full
% 0.21/0.53 % --bmc1_ground_init false
% 0.21/0.53 % --bmc1_pre_inst_next_state false
% 0.21/0.53 % --bmc1_pre_inst_state false
% 0.21/0.53 % --bmc1_pre_inst_reach_state false
% 0.21/0.53 % --bmc1_out_unsat_core false
% 0.21/0.53 % --bmc1_aig_witness_out false
% 0.21/0.53 % --bmc1_verbose false
% 0.21/0.53 % --bmc1_dump_clauses_tptp false
% 0.21/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.54 % --bmc1_dump_file -
% 0.21/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.54 % --bmc1_ucm_extend_mode 1
% 0.21/0.54 % --bmc1_ucm_init_mode 2
% 0.21/0.54 % --bmc1_ucm_cone_mode none
% 0.21/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.54 % --bmc1_ucm_relax_model 4
% 0.21/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.54 % --bmc1_ucm_layered_model none
% 0.21/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.54
% 0.21/0.54 % ------ AIG Options
% 0.21/0.54
% 0.21/0.54 % --aig_mode false
% 0.21/0.54
% 0.21/0.54 % ------ Instantiation Options
% 0.21/0.54
% 0.21/0.54 % --instantiation_flag true
% 0.21/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.54 % --inst_solver_per_active 750
% 0.21/0.54 % --inst_solver_calls_frac 0.5
% 0.21/0.54 % --inst_passive_queue_type priority_queues
% 0.21/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.54 % --inst_passive_queues_freq [25;2]
% 0.21/0.54 % --inst_dismatching true
% 0.21/0.54 % --inst_eager_unprocessed_to_passive true
% 0.21/0.54 % --inst_prop_sim_given true
% 0.21/0.54 % --inst_prop_sim_new false
% 0.21/0.54 % --inst_orphan_elimination true
% 0.21/0.54 % --inst_learning_loop_flag true
% 0.21/0.54 % --inst_learning_start 3000
% 0.21/0.54 % --inst_learning_factor 2
% 0.21/0.54 % --inst_start_prop_sim_after_learn 3
% 0.21/0.54 % --inst_sel_renew solver
% 0.21/0.54 % --inst_lit_activity_flag true
% 0.21/0.54 % --inst_out_proof true
% 0.21/0.54
% 0.21/0.54 % ------ Resolution Options
% 0.21/0.54
% 0.21/0.54 % --resolution_flag true
% 0.21/0.54 % --res_lit_sel kbo_max
% 0.21/0.54 % --res_to_prop_solver none
% 0.21/0.54 % --res_prop_simpl_new false
% 0.21/0.54 % --res_prop_simpl_given false
% 0.21/0.54 % --res_passive_queue_type priority_queues
% 0.21/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.54 % --res_passive_queues_freq [15;5]
% 0.21/0.54 % --res_forward_subs full
% 0.21/0.54 % --res_backward_subs full
% 0.21/0.54 % --res_forward_subs_resolution true
% 0.21/0.54 % --res_backward_subs_resolution true
% 0.21/0.54 % --res_orphan_elimination false
% 0.21/0.54 % --res_time_limit 1000.
% 0.21/0.54 % --res_out_proof true
% 0.21/0.54 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s
% 0.21/0.54 % --modulo true
% 0.21/0.54
% 0.21/0.54 % ------ Combination Options
% 0.21/0.54
% 0.21/0.54 % --comb_res_mult 1000
% 0.21/0.54 % --comb_inst_mult 300
% 0.21/0.54 % ------
% 0.21/0.54
% 0.21/0.54 % ------ Parsing...% successful
% 0.21/0.54
% 0.21/0.54 % ------ 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 %
% 0.21/0.54
% 0.21/0.54 % ------ Proving...
% 0.21/0.54 % ------ Problem Properties
% 0.21/0.54
% 0.21/0.54 %
% 0.21/0.54 % EPR false
% 0.21/0.54 % Horn false
% 0.21/0.54 % Has equality false
% 0.21/0.54
% 0.21/0.54 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 % % ------ Current options:
% 0.21/0.54
% 0.21/0.54 % ------ Input Options
% 0.21/0.54
% 0.21/0.54 % --out_options all
% 0.21/0.54 % --tptp_safe_out true
% 0.21/0.54 % --problem_path ""
% 0.21/0.54 % --include_path ""
% 0.21/0.54 % --clausifier .//eprover
% 0.21/0.54 % --clausifier_options --tstp-format
% 0.21/0.54 % --stdin false
% 0.21/0.54 % --dbg_backtrace false
% 0.21/0.54 % --dbg_dump_prop_clauses false
% 0.21/0.54 % --dbg_dump_prop_clauses_file -
% 0.21/0.54 % --dbg_out_stat false
% 0.21/0.54
% 0.21/0.54 % ------ General Options
% 0.21/0.54
% 0.21/0.54 % --fof false
% 0.21/0.54 % --time_out_real 150.
% 0.21/0.54 % --time_out_prep_mult 0.2
% 0.21/0.54 % --time_out_virtual -1.
% 0.21/0.54 % --schedule none
% 0.21/0.54 % --ground_splitting input
% 0.21/0.54 % --splitting_nvd 16
% 0.21/0.54 % --non_eq_to_eq false
% 0.21/0.54 % --prep_gs_sim true
% 0.21/0.54 % --prep_unflatten false
% 0.21/0.54 % --prep_res_sim true
% 0.21/0.54 % --prep_upred true
% 0.21/0.54 % --res_sim_input true
% 0.21/0.54 % --clause_weak_htbl true
% 0.21/0.54 % --gc_record_bc_elim false
% 0.21/0.54 % --symbol_type_check false
% 0.21/0.54 % --clausify_out false
% 0.21/0.54 % --large_theory_mode false
% 0.21/0.54 % --prep_sem_filter none
% 0.21/0.54 % --prep_sem_filter_out false
% 0.21/0.54 % --preprocessed_out false
% 0.21/0.54 % --sub_typing false
% 0.21/0.54 % --brand_transform false
% 0.21/0.54 % --pure_diseq_elim true
% 0.21/0.54 % --min_unsat_core false
% 0.21/0.54 % --pred_elim true
% 0.21/0.54 % --add_important_lit false
% 0.21/0.54 % --soft_assumptions false
% 0.21/0.54 % --reset_solvers false
% 0.21/0.54 % --bc_imp_inh []
% 0.21/0.54 % --conj_cone_tolerance 1.5
% 0.21/0.54 % --prolific_symb_bound 500
% 0.21/0.54 % --lt_threshold 2000
% 0.21/0.54
% 0.21/0.54 % ------ SAT Options
% 0.21/0.54
% 0.21/0.54 % --sat_mode false
% 0.21/0.54 % --sat_fm_restart_options ""
% 0.21/0.54 % --sat_gr_def false
% 0.21/0.54 % --sat_epr_types true
% 0.21/0.54 % --sat_non_cyclic_types false
% 0.21/0.54 % --sat_finite_models false
% 0.21/0.54 % --sat_fm_lemmas false
% 0.21/0.54 % --sat_fm_prep false
% 0.21/0.54 % --sat_fm_uc_incr true
% 0.21/0.54 % --sat_out_model small
% 0.21/0.54 % --sat_out_clauses false
% 0.21/0.54
% 0.21/0.54 % ------ QBF Options
% 0.21/0.54
% 0.21/0.54 % --qbf_mode false
% 0.21/0.54 % --qbf_elim_univ true
% 0.21/0.54 % --qbf_sk_in true
% 0.21/0.54 % --qbf_pred_elim true
% 0.21/0.54 % --qbf_split 32
% 0.21/0.54
% 0.21/0.54 % ------ BMC1 Options
% 0.21/0.54
% 0.21/0.54 % --bmc1_incremental false
% 0.21/0.54 % --bmc1_axioms reachable_all
% 0.21/0.54 % --bmc1_min_bound 0
% 0.21/0.54 % --bmc1_max_bound -1
% 0.21/0.54 % --bmc1_max_bound_default -1
% 0.21/0.54 % --bmc1_symbol_reachability true
% 0.21/0.54 % --bmc1_property_lemmas false
% 0.21/0.54 % --bmc1_k_induction false
% 0.21/0.54 % --bmc1_non_equiv_states false
% 0.21/0.54 % --bmc1_deadlock false
% 0.21/0.54 % --bmc1_ucm false
% 0.21/0.54 % --bmc1_add_unsat_core none
% 0.21/0.54 % --bmc1_unsat_core_children false
% 0.21/0.54 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.54 % --bmc1_out_stat full
% 0.21/0.54 % --bmc1_ground_init false
% 0.21/0.54 % --bmc1_pre_inst_next_state false
% 0.21/0.54 % --bmc1_pre_inst_state false
% 0.21/0.54 % --bmc1_pre_inst_reach_state false
% 0.21/0.54 % --bmc1_out_unsat_core false
% 0.21/0.54 % --bmc1_aig_witness_out false
% 0.21/0.54 % --bmc1_verbose false
% 0.21/0.54 % --bmc1_dump_clauses_tptp false
% 0.21/0.54 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.54 % --bmc1_dump_file -
% 0.21/0.54 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.54 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.54 % --bmc1_ucm_extend_mode 1
% 0.21/0.54 % --bmc1_ucm_init_mode 2
% 0.21/0.54 % --bmc1_ucm_cone_mode none
% 0.21/0.54 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.54 % --bmc1_ucm_relax_model 4
% 0.21/0.54 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.54 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.54 % --bmc1_ucm_layered_model none
% 0.21/0.54 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.54
% 0.21/0.54 % ------ AIG Options
% 0.21/0.54
% 0.21/0.54 % --aig_mode false
% 0.21/0.54
% 0.21/0.54 % ------ Instantiation Options
% 0.21/0.54
% 0.21/0.54 % --instantiation_flag true
% 0.21/0.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.54 % --inst_solver_per_active 750
% 0.21/0.54 % --inst_solver_calls_frac 0.5
% 0.21/0.54 % --inst_passive_queue_type priority_queues
% 0.21/0.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.54 % --inst_passive_queues_freq [25;2]
% 0.21/0.54 % --inst_dismatching true
% 0.21/0.54 % --inst_eager_unprocessed_to_passive true
% 0.21/0.54 % --inst_prop_sim_given true
% 2.42/2.64 % --inst_prop_sim_new false
% 2.42/2.64 % --inst_orphan_elimination true
% 2.42/2.64 % --inst_learning_loop_flag true
% 2.42/2.64 % --inst_learning_start 3000
% 2.42/2.64 % --inst_learning_factor 2
% 2.42/2.64 % --inst_start_prop_sim_after_learn 3
% 2.42/2.64 % --inst_sel_renew solver
% 2.42/2.64 % --inst_lit_activity_flag true
% 2.42/2.64 % --inst_out_proof true
% 2.42/2.64
% 2.42/2.64 % ------ Resolution Options
% 2.42/2.64
% 2.42/2.64 % --resolution_flag true
% 2.42/2.64 % --res_lit_sel kbo_max
% 2.42/2.64 % --res_to_prop_solver none
% 2.42/2.64 % --res_prop_simpl_new false
% 2.42/2.64 % --res_prop_simpl_given false
% 2.42/2.64 % --res_passive_queue_type priority_queues
% 2.42/2.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.42/2.64 % --res_passive_queues_freq [15;5]
% 2.42/2.64 % --res_forward_subs full
% 2.42/2.64 % --res_backward_subs full
% 2.42/2.64 % --res_forward_subs_resolution true
% 2.42/2.64 % --res_backward_subs_resolution true
% 2.42/2.64 % --res_orphan_elimination false
% 2.42/2.64 % --res_time_limit 1000.
% 2.42/2.64 % --res_out_proof true
% 2.42/2.64 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2cce1a.s
% 2.42/2.64 % --modulo true
% 2.42/2.64
% 2.42/2.64 % ------ Combination Options
% 2.42/2.64
% 2.42/2.64 % --comb_res_mult 1000
% 2.42/2.64 % --comb_inst_mult 300
% 2.42/2.64 % ------
% 2.42/2.64
% 2.42/2.64
% 2.42/2.64
% 2.42/2.64 % ------ Proving...
% 2.42/2.64 %
% 2.42/2.64
% 2.42/2.64
% 2.42/2.64 % ------ Statistics
% 2.42/2.64
% 2.42/2.64 % ------ General
% 2.42/2.64
% 2.42/2.64 % num_of_input_clauses: 126
% 2.42/2.64 % num_of_input_neg_conjectures: 3
% 2.42/2.64 % num_of_splits: 0
% 2.42/2.64 % num_of_split_atoms: 0
% 2.42/2.64 % num_of_sem_filtered_clauses: 0
% 2.42/2.64 % num_of_subtypes: 0
% 2.42/2.64 % monotx_restored_types: 0
% 2.42/2.64 % sat_num_of_epr_types: 0
% 2.42/2.64 % sat_num_of_non_cyclic_types: 0
% 2.42/2.64 % sat_guarded_non_collapsed_types: 0
% 2.42/2.64 % is_epr: 0
% 2.42/2.64 % is_horn: 0
% 2.42/2.64 % has_eq: 0
% 2.42/2.64 % num_pure_diseq_elim: 0
% 2.42/2.64 % simp_replaced_by: 0
% 2.42/2.64 % res_preprocessed: 6
% 2.42/2.64 % prep_upred: 0
% 2.42/2.64 % prep_unflattend: 0
% 2.42/2.64 % pred_elim_cands: 0
% 2.42/2.64 % pred_elim: 0
% 2.42/2.64 % pred_elim_cl: 0
% 2.42/2.64 % pred_elim_cycles: 0
% 2.42/2.64 % forced_gc_time: 0
% 2.42/2.64 % gc_basic_clause_elim: 0
% 2.42/2.64 % parsing_time: 0.004
% 2.42/2.64 % sem_filter_time: 0.
% 2.42/2.64 % pred_elim_time: 0.
% 2.42/2.64 % out_proof_time: 0.
% 2.42/2.64 % monotx_time: 0.
% 2.42/2.64 % subtype_inf_time: 0.
% 2.42/2.64 % unif_index_cands_time: 0.003
% 2.42/2.64 % unif_index_add_time: 0.008
% 2.42/2.64 % total_time: 2.135
% 2.42/2.64 % num_of_symbols: 43
% 2.42/2.64 % num_of_terms: 45130
% 2.42/2.64
% 2.42/2.64 % ------ Propositional Solver
% 2.42/2.64
% 2.42/2.64 % prop_solver_calls: 8
% 2.42/2.64 % prop_fast_solver_calls: 12
% 2.42/2.64 % prop_num_of_clauses: 1166
% 2.42/2.64 % prop_preprocess_simplified: 3361
% 2.42/2.64 % prop_fo_subsumed: 0
% 2.42/2.64 % prop_solver_time: 0.
% 2.42/2.64 % prop_fast_solver_time: 0.
% 2.42/2.64 % prop_unsat_core_time: 0.
% 2.42/2.64
% 2.42/2.64 % ------ QBF
% 2.42/2.64
% 2.42/2.64 % qbf_q_res: 0
% 2.42/2.64 % qbf_num_tautologies: 0
% 2.42/2.64 % qbf_prep_cycles: 0
% 2.42/2.64
% 2.42/2.64 % ------ BMC1
% 2.42/2.64
% 2.42/2.64 % bmc1_current_bound: -1
% 2.42/2.64 % bmc1_last_solved_bound: -1
% 2.42/2.64 % bmc1_unsat_core_size: -1
% 2.42/2.64 % bmc1_unsat_core_parents_size: -1
% 2.42/2.64 % bmc1_merge_next_fun: 0
% 2.42/2.64 % bmc1_unsat_core_clauses_time: 0.
% 2.42/2.64
% 2.42/2.64 % ------ Instantiation
% 2.42/2.64
% 2.42/2.64 % inst_num_of_clauses: 1071
% 2.42/2.64 % inst_num_in_passive: 547
% 2.42/2.64 % inst_num_in_active: 493
% 2.42/2.64 % inst_num_in_unprocessed: 7
% 2.42/2.64 % inst_num_of_loops: 629
% 2.42/2.65 % inst_num_of_learning_restarts: 0
% 2.42/2.65 % inst_num_moves_active_passive: 110
% 2.42/2.65 % inst_lit_activity: 136
% 2.42/2.65 % inst_lit_activity_moves: 0
% 2.42/2.65 % inst_num_tautologies: 22
% 2.42/2.65 % inst_num_prop_implied: 0
% 2.42/2.65 % inst_num_existing_simplified: 0
% 2.42/2.65 % inst_num_eq_res_simplified: 0
% 2.42/2.65 % inst_num_child_elim: 0
% 2.42/2.65 % inst_num_of_dismatching_blockings: 1577
% 2.42/2.65 % inst_num_of_non_proper_insts: 3247
% 2.42/2.65 % inst_num_of_duplicates: 2389
% 2.42/2.65 % inst_inst_num_from_inst_to_res: 0
% 2.42/2.65 % inst_dismatching_checking_time: 0.001
% 2.42/2.65
% 2.42/2.65 % ------ Resolution
% 2.42/2.65
% 2.42/2.65 % res_num_of_clauses: 9910
% 2.42/2.65 % res_num_in_passive: 6763
% 2.42/2.65 % res_num_in_active: 3074
% 2.42/2.65 % res_num_of_loops: 3000
% 2.42/2.65 % res_forward_subset_subsumed: 49
% 2.42/2.65 % res_backward_subset_subsumed: 0
% 2.42/2.65 % res_forward_subsumed: 0
% 2.42/2.65 % res_backward_subsumed: 0
% 2.42/2.65 % res_forward_subsumption_resolution: 0
% 2.42/2.65 % res_backward_subsumption_resolution: 0
% 2.42/2.65 % res_clause_to_clause_subsumption: 117128
% 2.42/2.65 % res_orphan_elimination: 0
% 2.42/2.65 % res_tautology_del: 0
% 2.42/2.65 % res_num_eq_res_simplified: 0
% 2.42/2.65 % res_num_sel_changes: 0
% 2.42/2.65 % res_moves_from_active_to_pass: 0
% 2.42/2.65
% 2.42/2.65 % Status Unsatisfiable
% 2.42/2.65 % SZS status Theorem
% 2.42/2.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------