%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO191+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 08:49:17 EST 2010
% Result : Theorem 4.29s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of formulae : 99 ( 19 unt; 0 def)
% Number of atoms : 326 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 288 ( 61 ~; 199 |; 17 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 154 ( 5 sgn 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',ax6) ).
fof(2,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('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',cu1) ).
fof(3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',ceq3) ).
fof(5,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',ceq1) ).
fof(6,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',ci3) ).
fof(7,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',ci4) ).
fof(9,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',apart2) ).
fof(10,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',apart3) ).
fof(12,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',apart5) ).
fof(13,conjecture,
! [X1,X2,X4,X5] :
( ( convergent_lines(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(intersection_point(X1,X2),X5) ) )
=> ( apart_point_and_line(intersection_point(X4,X5),X1)
| apart_point_and_line(intersection_point(X4,X5),X2) ) ),
file('/tmp/tmpYQiCbd/sel_GEO191+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( convergent_lines(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(intersection_point(X1,X2),X5) ) )
=> ( apart_point_and_line(intersection_point(X4,X5),X1)
| apart_point_and_line(intersection_point(X4,X5),X2) ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(18,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(19,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(20,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(21,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[20]) ).
cnf(22,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(23,plain,
! [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) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(24,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)],[23]) ).
cnf(25,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)],[24]) ).
fof(26,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(27,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(variable_rename,[status(thm)],[26]) ).
cnf(28,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(32,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(33,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(variable_rename,[status(thm)],[32]) ).
cnf(34,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(36,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[35]) ).
cnf(37,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(39,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(43,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(variable_rename,[status(thm)],[18]) ).
cnf(44,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[43]) ).
fof(45,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[19]) ).
cnf(46,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[45]) ).
fof(50,plain,
! [X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X3)
| distinct_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(51,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X4,X5)
| distinct_lines(X4,X6)
| distinct_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[50]) ).
cnf(52,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(53,negated_conjecture,
? [X1,X2,X4,X5] :
( convergent_lines(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(intersection_point(X1,X2),X5) )
& ~ apart_point_and_line(intersection_point(X4,X5),X1)
& ~ apart_point_and_line(intersection_point(X4,X5),X2) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(54,negated_conjecture,
? [X6,X7,X8,X9] :
( convergent_lines(X6,X7)
& convergent_lines(X8,X9)
& ( apart_point_and_line(intersection_point(X6,X7),X8)
| apart_point_and_line(intersection_point(X6,X7),X9) )
& ~ apart_point_and_line(intersection_point(X8,X9),X6)
& ~ apart_point_and_line(intersection_point(X8,X9),X7) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0) )
& ~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0)
& ~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
inference(skolemize,[status(esa)],[54]) ).
cnf(56,negated_conjecture,
~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,negated_conjecture,
~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(58,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(59,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(60,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(61,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[22,60,theory(equality)]) ).
cnf(63,negated_conjecture,
( distinct_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[28,60,theory(equality)]) ).
cnf(65,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| distinct_points(intersection_point(esk1_0,esk2_0),X1)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[34,58,theory(equality)]) ).
cnf(67,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[46,61,theory(equality)]) ).
cnf(68,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk1_0,X2)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[22,61,theory(equality)]) ).
cnf(92,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,esk2_0)
| convergent_lines(esk1_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[25,63,theory(equality)]) ).
cnf(125,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[46,68,theory(equality)]) ).
cnf(137,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk2_0,X2)
| convergent_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[22,125,theory(equality)]) ).
cnf(157,negated_conjecture,
( convergent_lines(X1,esk1_0)
| convergent_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[46,137,theory(equality)]) ).
cnf(173,negated_conjecture,
( distinct_lines(esk1_0,X1)
| convergent_lines(X2,X1)
| convergent_lines(X2,esk2_0) ),
inference(spm,[status(thm)],[28,157,theory(equality)]) ).
cnf(335,negated_conjecture,
( distinct_lines(esk1_0,esk2_0)
| convergent_lines(X3,esk2_0) ),
inference(ef,[status(thm)],[173,theory(equality)]) ).
cnf(350,negated_conjecture,
( distinct_lines(esk2_0,X1)
| convergent_lines(X2,X1)
| distinct_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[28,335,theory(equality)]) ).
cnf(404,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),X2)
| apart_point_and_line(X1,X2)
| convergent_lines(esk1_0,X2)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(X1,esk4_0) ),
inference(spm,[status(thm)],[92,65,theory(equality)]) ).
cnf(849,negated_conjecture,
( distinct_lines(esk1_0,esk2_0)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[46,350,theory(equality)]) ).
cnf(892,negated_conjecture,
( distinct_lines(esk2_0,X1)
| distinct_lines(esk1_0,X1)
| distinct_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[52,849,theory(equality)]) ).
cnf(1867,negated_conjecture,
( distinct_lines(esk2_0,X1)
| distinct_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[44,892,theory(equality)]) ).
cnf(1877,negated_conjecture,
distinct_lines(esk2_0,esk1_0),
inference(ef,[status(thm)],[1867,theory(equality)]) ).
cnf(1884,negated_conjecture,
( apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X2,esk1_0)
| apart_point_and_line(X2,esk2_0)
| ~ distinct_points(X2,X1) ),
inference(spm,[status(thm)],[25,1877,theory(equality)]) ).
cnf(2958,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| convergent_lines(esk1_0,esk1_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[37,404,theory(equality)]) ).
cnf(2969,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| convergent_lines(esk1_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[2958,60,theory(equality)]) ).
cnf(2970,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| convergent_lines(esk1_0,esk1_0) ),
inference(cn,[status(thm)],[2969,theory(equality)]) ).
cnf(2971,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0) ),
inference(sr,[status(thm)],[2970,46,theory(equality)]) ).
cnf(4710,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(X1,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(X1,esk1_0),esk4_0)
| ~ convergent_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[40,2971,theory(equality)]) ).
cnf(32704,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[4710,67,theory(equality)]) ).
cnf(33598,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| distinct_points(intersection_point(esk1_0,esk2_0),X1)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[34,32704,theory(equality)]) ).
cnf(33751,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk3_0) ),
inference(spm,[status(thm)],[1884,33598,theory(equality)]) ).
cnf(57876,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[37,33751,theory(equality)]) ).
cnf(57882,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| $false ),
inference(rw,[status(thm)],[57876,60,theory(equality)]) ).
cnf(57883,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0) ),
inference(cn,[status(thm)],[57882,theory(equality)]) ).
cnf(57948,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk3_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[40,57883,theory(equality)]) ).
cnf(57955,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[57948,60,theory(equality)]) ).
cnf(57956,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk3_0) ),
inference(cn,[status(thm)],[57955,theory(equality)]) ).
cnf(58044,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
inference(spm,[status(thm)],[57,57956,theory(equality)]) ).
cnf(58051,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0) ),
inference(sr,[status(thm)],[58044,56,theory(equality)]) ).
cnf(58052,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| ~ convergent_lines(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[37,58051,theory(equality)]) ).
cnf(58055,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[58052,59,theory(equality)]) ).
cnf(58056,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(cn,[status(thm)],[58055,theory(equality)]) ).
cnf(58057,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| distinct_points(intersection_point(esk2_0,esk1_0),X1)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[34,58056,theory(equality)]) ).
cnf(58122,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk4_0) ),
inference(spm,[status(thm)],[1884,58057,theory(equality)]) ).
cnf(58220,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| ~ convergent_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[40,58122,theory(equality)]) ).
cnf(58228,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| $false ),
inference(rw,[status(thm)],[58220,67,theory(equality)]) ).
cnf(58229,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0) ),
inference(cn,[status(thm)],[58228,theory(equality)]) ).
cnf(58369,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk4_0)
| ~ convergent_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[37,58229,theory(equality)]) ).
cnf(58376,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk4_0)
| $false ),
inference(rw,[status(thm)],[58369,67,theory(equality)]) ).
cnf(58377,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk4_0) ),
inference(cn,[status(thm)],[58376,theory(equality)]) ).
cnf(58378,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
inference(spm,[status(thm)],[57,58377,theory(equality)]) ).
cnf(58383,negated_conjecture,
apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0),
inference(sr,[status(thm)],[58378,56,theory(equality)]) ).
cnf(58384,negated_conjecture,
~ convergent_lines(esk3_0,esk4_0),
inference(spm,[status(thm)],[40,58383,theory(equality)]) ).
cnf(58387,negated_conjecture,
$false,
inference(rw,[status(thm)],[58384,59,theory(equality)]) ).
cnf(58388,negated_conjecture,
$false,
inference(cn,[status(thm)],[58387,theory(equality)]) ).
cnf(58389,negated_conjecture,
$false,
58388,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO191+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpYQiCbd/sel_GEO191+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO191+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO191+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO191+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------