TSTP Solution File: GEO282+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO282+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 09:17:40 EST 2010
% Result : Theorem 0.87s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 10
% Syntax : Number of formulae : 124 ( 25 unt; 0 def)
% Number of atoms : 724 ( 179 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1065 ( 465 ~; 489 |; 102 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 307 ( 0 sgn 134 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
vd1123 = vd1127,
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','holds(252, 1144, 0)') ).
fof(9,axiom,
! [X46,X47] :
( ( X46 != X47
& ? [X48] :
( X47 = X48
& rpoint(X48) )
& ? [X49] :
( X46 = X49
& rpoint(X49) ) )
=> ? [X50] :
( ron(X47,X50)
& rcenter(X46,X50)
& rcircle(X50) ) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(33,axiom,
( ron(vd1129,vd1146)
& rcenter(vd1123,vd1146)
& rcircle(vd1146)
& ron(vd1125,vd1145)
& ron(vd1123,vd1145) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(253))), 0), and(pred(comma_conjunct2(comma_conjunct2(253)), 0), pred(comma_conjunct1(comma_conjunct2(253)), 0)))), pred(comma_conjunct1(253), 0))') ).
fof(60,axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof(65,axiom,
! [X445,X446] :
( ( rintersect(X445,X446)
& ? [X447] :
( X446 = X447
& rcircle(X447) )
& ? [X448] :
( X445 = X448
& rcircle(X448) ) )
=> ? [X449,X450] :
( X449 != X450
& ron(X450,X446)
& ron(X450,X445)
& rpoint(X450)
& ron(X449,X446)
& ron(X449,X445)
& rpoint(X449) ) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof(73,axiom,
! [X499,X500,X501,X502] :
( ( rinside(X499,X501)
& X501 = X502
& rcircle(X502)
& X499 = X500
& rpoint(X500) )
=> ~ ron(X499,X501) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(82,axiom,
! [X557,X558,X559,X560] :
( ( ron(X558,X560)
& rcenter(X559,X560)
& ? [X561] :
( X558 = X561
& rpoint(X561) )
& ? [X562] :
( X557 = X562
& rpoint(X562) ) )
=> ( rless(vf(X559,X557),vf(X559,X558))
<=> rinside(X557,X560) ) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(88,conjecture,
~ rinside(vd1125,vd1146),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','neg(neg(254))') ).
fof(95,axiom,
! [X630,X631,X632,X633] :
( ( ron(X631,X633)
& rinside(X630,X633)
& rinside(X631,X632)
& ron(X630,X632)
& ? [X634] :
( X631 = X634
& rpoint(X634) )
& ? [X635] :
( X630 = X635
& rpoint(X635) ) )
=> rintersect(X632,X633) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof(108,axiom,
! [X726,X727,X728,X729,X730,X731] :
( ( ron(X730,X729)
& X730 = X731
& rpoint(X731)
& rcenter(X728,X729)
& X726 = X727
& rpoint(X727) )
=> ( vf(X728,X726) = vf(X728,X730)
<=> ron(X726,X729) ) ),
file('/tmp/tmpiS3Sx_/sel_GEO282+1.p_1','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(110,negated_conjecture,
~ ~ rinside(vd1125,vd1146),
inference(assume_negation,[status(cth)],[88]) ).
fof(132,plain,
! [X499,X500,X501,X502] :
( ( rinside(X499,X501)
& X501 = X502
& rcircle(X502)
& X499 = X500
& rpoint(X500) )
=> ~ ron(X499,X501) ),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(136,negated_conjecture,
rinside(vd1125,vd1146),
inference(fof_simplification,[status(thm)],[110,theory(equality)]) ).
cnf(168,plain,
vd1123 = vd1127,
inference(split_conjunct,[status(thm)],[4]) ).
fof(181,plain,
! [X46,X47] :
( X46 = X47
| ! [X48] :
( X47 != X48
| ~ rpoint(X48) )
| ! [X49] :
( X46 != X49
| ~ rpoint(X49) )
| ? [X50] :
( ron(X47,X50)
& rcenter(X46,X50)
& rcircle(X50) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(182,plain,
! [X51,X52] :
( X51 = X52
| ! [X53] :
( X52 != X53
| ~ rpoint(X53) )
| ! [X54] :
( X51 != X54
| ~ rpoint(X54) )
| ? [X55] :
( ron(X52,X55)
& rcenter(X51,X55)
& rcircle(X55) ) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
! [X51,X52] :
( X51 = X52
| ! [X53] :
( X52 != X53
| ~ rpoint(X53) )
| ! [X54] :
( X51 != X54
| ~ rpoint(X54) )
| ( ron(X52,esk4_2(X51,X52))
& rcenter(X51,esk4_2(X51,X52))
& rcircle(esk4_2(X51,X52)) ) ),
inference(skolemize,[status(esa)],[182]) ).
fof(184,plain,
! [X51,X52,X53,X54] :
( X51 != X54
| ~ rpoint(X54)
| X52 != X53
| ~ rpoint(X53)
| X51 = X52
| ( ron(X52,esk4_2(X51,X52))
& rcenter(X51,esk4_2(X51,X52))
& rcircle(esk4_2(X51,X52)) ) ),
inference(shift_quantors,[status(thm)],[183]) ).
fof(185,plain,
! [X51,X52,X53,X54] :
( ( ron(X52,esk4_2(X51,X52))
| X51 != X54
| ~ rpoint(X54)
| X52 != X53
| ~ rpoint(X53)
| X51 = X52 )
& ( rcenter(X51,esk4_2(X51,X52))
| X51 != X54
| ~ rpoint(X54)
| X52 != X53
| ~ rpoint(X53)
| X51 = X52 )
& ( rcircle(esk4_2(X51,X52))
| X51 != X54
| ~ rpoint(X54)
| X52 != X53
| ~ rpoint(X53)
| X51 = X52 ) ),
inference(distribute,[status(thm)],[184]) ).
cnf(186,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(187,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(188,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(353,plain,
rcircle(vd1146),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(354,plain,
rcenter(vd1123,vd1146),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(355,plain,
ron(vd1129,vd1146),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(492,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(493,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[60]) ).
cnf(494,plain,
rpoint(vd1128),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(495,plain,
vd1127 = vd1128,
inference(split_conjunct,[status(thm)],[60]) ).
cnf(496,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(497,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],[60]) ).
cnf(498,plain,
vd1123 != vd1125,
inference(split_conjunct,[status(thm)],[60]) ).
cnf(500,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(split_conjunct,[status(thm)],[60]) ).
fof(519,plain,
! [X445,X446] :
( ~ rintersect(X445,X446)
| ! [X447] :
( X446 != X447
| ~ rcircle(X447) )
| ! [X448] :
( X445 != X448
| ~ rcircle(X448) )
| ? [X449,X450] :
( X449 != X450
& ron(X450,X446)
& ron(X450,X445)
& rpoint(X450)
& ron(X449,X446)
& ron(X449,X445)
& rpoint(X449) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(520,plain,
! [X451,X452] :
( ~ rintersect(X451,X452)
| ! [X453] :
( X452 != X453
| ~ rcircle(X453) )
| ! [X454] :
( X451 != X454
| ~ rcircle(X454) )
| ? [X455,X456] :
( X455 != X456
& ron(X456,X452)
& ron(X456,X451)
& rpoint(X456)
& ron(X455,X452)
& ron(X455,X451)
& rpoint(X455) ) ),
inference(variable_rename,[status(thm)],[519]) ).
fof(521,plain,
! [X451,X452] :
( ~ rintersect(X451,X452)
| ! [X453] :
( X452 != X453
| ~ rcircle(X453) )
| ! [X454] :
( X451 != X454
| ~ rcircle(X454) )
| ( esk28_2(X451,X452) != esk29_2(X451,X452)
& ron(esk29_2(X451,X452),X452)
& ron(esk29_2(X451,X452),X451)
& rpoint(esk29_2(X451,X452))
& ron(esk28_2(X451,X452),X452)
& ron(esk28_2(X451,X452),X451)
& rpoint(esk28_2(X451,X452)) ) ),
inference(skolemize,[status(esa)],[520]) ).
fof(522,plain,
! [X451,X452,X453,X454] :
( X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452)
| ( esk28_2(X451,X452) != esk29_2(X451,X452)
& ron(esk29_2(X451,X452),X452)
& ron(esk29_2(X451,X452),X451)
& rpoint(esk29_2(X451,X452))
& ron(esk28_2(X451,X452),X452)
& ron(esk28_2(X451,X452),X451)
& rpoint(esk28_2(X451,X452)) ) ),
inference(shift_quantors,[status(thm)],[521]) ).
fof(523,plain,
! [X451,X452,X453,X454] :
( ( esk28_2(X451,X452) != esk29_2(X451,X452)
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( ron(esk29_2(X451,X452),X452)
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( ron(esk29_2(X451,X452),X451)
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( rpoint(esk29_2(X451,X452))
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( ron(esk28_2(X451,X452),X452)
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( ron(esk28_2(X451,X452),X451)
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) )
& ( rpoint(esk28_2(X451,X452))
| X451 != X454
| ~ rcircle(X454)
| X452 != X453
| ~ rcircle(X453)
| ~ rintersect(X451,X452) ) ),
inference(distribute,[status(thm)],[522]) ).
cnf(524,plain,
( rpoint(esk28_2(X1,X2))
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| X2 != X3
| ~ rcircle(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[523]) ).
cnf(525,plain,
( ron(esk28_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| X2 != X3
| ~ rcircle(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[523]) ).
cnf(526,plain,
( ron(esk28_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| X2 != X3
| ~ rcircle(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[523]) ).
fof(572,plain,
! [X499,X500,X501,X502] :
( ~ rinside(X499,X501)
| X501 != X502
| ~ rcircle(X502)
| X499 != X500
| ~ rpoint(X500)
| ~ ron(X499,X501) ),
inference(fof_nnf,[status(thm)],[132]) ).
fof(573,plain,
! [X503,X504,X505,X506] :
( ~ rinside(X503,X505)
| X505 != X506
| ~ rcircle(X506)
| X503 != X504
| ~ rpoint(X504)
| ~ ron(X503,X505) ),
inference(variable_rename,[status(thm)],[572]) ).
cnf(574,plain,
( ~ ron(X1,X2)
| ~ rpoint(X3)
| X1 != X3
| ~ rcircle(X4)
| X2 != X4
| ~ rinside(X1,X2) ),
inference(split_conjunct,[status(thm)],[573]) ).
fof(629,plain,
! [X557,X558,X559,X560] :
( ~ ron(X558,X560)
| ~ rcenter(X559,X560)
| ! [X561] :
( X558 != X561
| ~ rpoint(X561) )
| ! [X562] :
( X557 != X562
| ~ rpoint(X562) )
| ( ( ~ rless(vf(X559,X557),vf(X559,X558))
| rinside(X557,X560) )
& ( ~ rinside(X557,X560)
| rless(vf(X559,X557),vf(X559,X558)) ) ) ),
inference(fof_nnf,[status(thm)],[82]) ).
fof(630,plain,
! [X563,X564,X565,X566] :
( ~ ron(X564,X566)
| ~ rcenter(X565,X566)
| ! [X567] :
( X564 != X567
| ~ rpoint(X567) )
| ! [X568] :
( X563 != X568
| ~ rpoint(X568) )
| ( ( ~ rless(vf(X565,X563),vf(X565,X564))
| rinside(X563,X566) )
& ( ~ rinside(X563,X566)
| rless(vf(X565,X563),vf(X565,X564)) ) ) ),
inference(variable_rename,[status(thm)],[629]) ).
fof(631,plain,
! [X563,X564,X565,X566,X567,X568] :
( X563 != X568
| ~ rpoint(X568)
| X564 != X567
| ~ rpoint(X567)
| ~ ron(X564,X566)
| ~ rcenter(X565,X566)
| ( ( ~ rless(vf(X565,X563),vf(X565,X564))
| rinside(X563,X566) )
& ( ~ rinside(X563,X566)
| rless(vf(X565,X563),vf(X565,X564)) ) ) ),
inference(shift_quantors,[status(thm)],[630]) ).
fof(632,plain,
! [X563,X564,X565,X566,X567,X568] :
( ( ~ rless(vf(X565,X563),vf(X565,X564))
| rinside(X563,X566)
| X563 != X568
| ~ rpoint(X568)
| X564 != X567
| ~ rpoint(X567)
| ~ ron(X564,X566)
| ~ rcenter(X565,X566) )
& ( ~ rinside(X563,X566)
| rless(vf(X565,X563),vf(X565,X564))
| X563 != X568
| ~ rpoint(X568)
| X564 != X567
| ~ rpoint(X567)
| ~ ron(X564,X566)
| ~ rcenter(X565,X566) ) ),
inference(distribute,[status(thm)],[631]) ).
cnf(634,plain,
( rinside(X6,X2)
| ~ rcenter(X1,X2)
| ~ ron(X3,X2)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X6 != X5
| ~ rless(vf(X1,X6),vf(X1,X3)) ),
inference(split_conjunct,[status(thm)],[632]) ).
cnf(656,negated_conjecture,
rinside(vd1125,vd1146),
inference(split_conjunct,[status(thm)],[136]) ).
fof(692,plain,
! [X630,X631,X632,X633] :
( ~ ron(X631,X633)
| ~ rinside(X630,X633)
| ~ rinside(X631,X632)
| ~ ron(X630,X632)
| ! [X634] :
( X631 != X634
| ~ rpoint(X634) )
| ! [X635] :
( X630 != X635
| ~ rpoint(X635) )
| rintersect(X632,X633) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(693,plain,
! [X636,X637,X638,X639] :
( ~ ron(X637,X639)
| ~ rinside(X636,X639)
| ~ rinside(X637,X638)
| ~ ron(X636,X638)
| ! [X640] :
( X637 != X640
| ~ rpoint(X640) )
| ! [X641] :
( X636 != X641
| ~ rpoint(X641) )
| rintersect(X638,X639) ),
inference(variable_rename,[status(thm)],[692]) ).
fof(694,plain,
! [X636,X637,X638,X639,X640,X641] :
( X636 != X641
| ~ rpoint(X641)
| X637 != X640
| ~ rpoint(X640)
| ~ ron(X637,X639)
| ~ rinside(X636,X639)
| ~ rinside(X637,X638)
| ~ ron(X636,X638)
| rintersect(X638,X639) ),
inference(shift_quantors,[status(thm)],[693]) ).
cnf(695,plain,
( rintersect(X1,X2)
| ~ ron(X3,X1)
| ~ rinside(X4,X1)
| ~ rinside(X3,X2)
| ~ ron(X4,X2)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X6)
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[694]) ).
fof(761,plain,
! [X726,X727,X728,X729,X730,X731] :
( ~ ron(X730,X729)
| X730 != X731
| ~ rpoint(X731)
| ~ rcenter(X728,X729)
| X726 != X727
| ~ rpoint(X727)
| ( ( vf(X728,X726) != vf(X728,X730)
| ron(X726,X729) )
& ( ~ ron(X726,X729)
| vf(X728,X726) = vf(X728,X730) ) ) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(762,plain,
! [X732,X733,X734,X735,X736,X737] :
( ~ ron(X736,X735)
| X736 != X737
| ~ rpoint(X737)
| ~ rcenter(X734,X735)
| X732 != X733
| ~ rpoint(X733)
| ( ( vf(X734,X732) != vf(X734,X736)
| ron(X732,X735) )
& ( ~ ron(X732,X735)
| vf(X734,X732) = vf(X734,X736) ) ) ),
inference(variable_rename,[status(thm)],[761]) ).
fof(763,plain,
! [X732,X733,X734,X735,X736,X737] :
( ( vf(X734,X732) != vf(X734,X736)
| ron(X732,X735)
| ~ ron(X736,X735)
| X736 != X737
| ~ rpoint(X737)
| ~ rcenter(X734,X735)
| X732 != X733
| ~ rpoint(X733) )
& ( ~ ron(X732,X735)
| vf(X734,X732) = vf(X734,X736)
| ~ ron(X736,X735)
| X736 != X737
| ~ rpoint(X737)
| ~ rcenter(X734,X735)
| X732 != X733
| ~ rpoint(X733) ) ),
inference(distribute,[status(thm)],[762]) ).
cnf(764,plain,
( vf(X3,X2) = vf(X3,X6)
| ~ rpoint(X1)
| X2 != X1
| ~ rcenter(X3,X4)
| ~ rpoint(X5)
| X6 != X5
| ~ ron(X6,X4)
| ~ ron(X2,X4) ),
inference(split_conjunct,[status(thm)],[763]) ).
cnf(773,plain,
vd1128 = vd1123,
inference(rw,[status(thm)],[495,168,theory(equality)]) ).
cnf(775,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[496,497,theory(equality)]) ).
cnf(776,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[494,773,theory(equality)]) ).
cnf(777,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[492,493,theory(equality)]) ).
cnf(781,plain,
rless(vf(vd1123,vd1129),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[500,168,theory(equality)]) ).
cnf(816,plain,
( X1 != X2
| ~ rinside(X1,X3)
| ~ rcircle(X3)
| ~ rpoint(X2)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[574,theory(equality)]) ).
cnf(817,plain,
( ~ rinside(X1,X2)
| ~ rcircle(X2)
| ~ rpoint(X1)
| ~ ron(X1,X2) ),
inference(er,[status(thm)],[816,theory(equality)]) ).
cnf(833,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[186,theory(equality)]) ).
cnf(834,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[833,theory(equality)]) ).
cnf(835,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[188,theory(equality)]) ).
cnf(836,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[835,theory(equality)]) ).
cnf(841,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[187,theory(equality)]) ).
cnf(842,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[841,theory(equality)]) ).
cnf(845,plain,
( rpoint(esk28_2(X1,X2))
| X1 != X3
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[524,theory(equality)]) ).
cnf(846,plain,
( rpoint(esk28_2(X1,X2))
| ~ rintersect(X1,X2)
| ~ rcircle(X1)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[845,theory(equality)]) ).
cnf(859,plain,
( ron(esk28_2(X1,X2),X2)
| X1 != X3
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[526,theory(equality)]) ).
cnf(860,plain,
( ron(esk28_2(X1,X2),X2)
| ~ rintersect(X1,X2)
| ~ rcircle(X1)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[859,theory(equality)]) ).
cnf(861,plain,
( ron(esk28_2(X1,X2),X1)
| X1 != X3
| ~ rintersect(X1,X2)
| ~ rcircle(X3)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[525,theory(equality)]) ).
cnf(862,plain,
( ron(esk28_2(X1,X2),X1)
| ~ rintersect(X1,X2)
| ~ rcircle(X1)
| ~ rcircle(X2) ),
inference(er,[status(thm)],[861,theory(equality)]) ).
cnf(951,plain,
( vf(X1,X2) = vf(X1,X3)
| X4 != X2
| ~ rcenter(X1,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X3,X5)
| ~ ron(X2,X5) ),
inference(er,[status(thm)],[764,theory(equality)]) ).
cnf(952,plain,
( vf(X1,X2) = vf(X1,X3)
| ~ rcenter(X1,X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ ron(X3,X4)
| ~ ron(X2,X4) ),
inference(er,[status(thm)],[951,theory(equality)]) ).
cnf(988,plain,
( rintersect(X1,X2)
| X3 != X4
| ~ rinside(X5,X1)
| ~ rinside(X3,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X5,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[695,theory(equality)]) ).
cnf(989,plain,
( rintersect(X1,X2)
| ~ rinside(X3,X1)
| ~ rinside(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X3,X2)
| ~ ron(X4,X1) ),
inference(er,[status(thm)],[988,theory(equality)]) ).
cnf(1024,plain,
( rinside(X1,X2)
| X3 != X4
| ~ rcenter(X5,X2)
| ~ rless(vf(X5,X1),vf(X5,X3))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[634,theory(equality)]) ).
cnf(1025,plain,
( rinside(X1,X2)
| ~ rcenter(X3,X2)
| ~ rless(vf(X3,X1),vf(X3,X4))
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[1024,theory(equality)]) ).
cnf(2141,plain,
( vf(vd1123,X1) = vf(vd1123,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,vd1146)
| ~ ron(X1,vd1146) ),
inference(spm,[status(thm)],[952,354,theory(equality)]) ).
cnf(2349,negated_conjecture,
( rintersect(vd1146,X1)
| ~ rinside(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(vd1125)
| ~ ron(vd1125,X1)
| ~ ron(X2,vd1146) ),
inference(spm,[status(thm)],[989,656,theory(equality)]) ).
cnf(2353,negated_conjecture,
( rintersect(vd1146,X1)
| ~ rinside(X2,X1)
| ~ rpoint(X2)
| $false
| ~ ron(vd1125,X1)
| ~ ron(X2,vd1146) ),
inference(rw,[status(thm)],[2349,777,theory(equality)]) ).
cnf(2354,negated_conjecture,
( rintersect(vd1146,X1)
| ~ rinside(X2,X1)
| ~ rpoint(X2)
| ~ ron(vd1125,X1)
| ~ ron(X2,vd1146) ),
inference(cn,[status(thm)],[2353,theory(equality)]) ).
cnf(2559,plain,
( rinside(vd1129,X1)
| ~ rcenter(vd1123,X1)
| ~ rpoint(vd1129)
| ~ rpoint(vd1125)
| ~ ron(vd1125,X1) ),
inference(spm,[status(thm)],[1025,781,theory(equality)]) ).
cnf(2566,plain,
( rinside(vd1129,X1)
| ~ rcenter(vd1123,X1)
| $false
| ~ rpoint(vd1125)
| ~ ron(vd1125,X1) ),
inference(rw,[status(thm)],[2559,775,theory(equality)]) ).
cnf(2567,plain,
( rinside(vd1129,X1)
| ~ rcenter(vd1123,X1)
| $false
| $false
| ~ ron(vd1125,X1) ),
inference(rw,[status(thm)],[2566,777,theory(equality)]) ).
cnf(2568,plain,
( rinside(vd1129,X1)
| ~ rcenter(vd1123,X1)
| ~ ron(vd1125,X1) ),
inference(cn,[status(thm)],[2567,theory(equality)]) ).
cnf(2570,plain,
( rinside(vd1129,esk4_2(vd1123,X1))
| vd1123 = X1
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ rpoint(vd1123)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[2568,842,theory(equality)]) ).
cnf(2571,plain,
( rinside(vd1129,esk4_2(vd1123,X1))
| vd1123 = X1
| ~ ron(vd1125,esk4_2(vd1123,X1))
| $false
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[2570,776,theory(equality)]) ).
cnf(2572,plain,
( rinside(vd1129,esk4_2(vd1123,X1))
| vd1123 = X1
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[2571,theory(equality)]) ).
cnf(2576,negated_conjecture,
( rintersect(vd1146,esk4_2(vd1123,X1))
| vd1123 = X1
| ~ rpoint(vd1129)
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ ron(vd1129,vd1146)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[2354,2572,theory(equality)]) ).
cnf(2585,negated_conjecture,
( rintersect(vd1146,esk4_2(vd1123,X1))
| vd1123 = X1
| $false
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ ron(vd1129,vd1146)
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[2576,775,theory(equality)]) ).
cnf(2586,negated_conjecture,
( rintersect(vd1146,esk4_2(vd1123,X1))
| vd1123 = X1
| $false
| ~ ron(vd1125,esk4_2(vd1123,X1))
| $false
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[2585,355,theory(equality)]) ).
cnf(2587,negated_conjecture,
( rintersect(vd1146,esk4_2(vd1123,X1))
| vd1123 = X1
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[2586,theory(equality)]) ).
cnf(4080,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1125))
| ~ rpoint(X1)
| ~ rpoint(vd1129)
| ~ ron(X1,vd1146)
| ~ ron(vd1129,vd1146) ),
inference(spm,[status(thm)],[781,2141,theory(equality)]) ).
cnf(4128,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1125))
| ~ rpoint(X1)
| $false
| ~ ron(X1,vd1146)
| ~ ron(vd1129,vd1146) ),
inference(rw,[status(thm)],[4080,775,theory(equality)]) ).
cnf(4129,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1125))
| ~ rpoint(X1)
| $false
| ~ ron(X1,vd1146)
| $false ),
inference(rw,[status(thm)],[4128,355,theory(equality)]) ).
cnf(4130,plain,
( rless(vf(vd1123,X1),vf(vd1123,vd1125))
| ~ rpoint(X1)
| ~ ron(X1,vd1146) ),
inference(cn,[status(thm)],[4129,theory(equality)]) ).
cnf(4218,plain,
( rinside(X1,X2)
| ~ rcenter(vd1123,X2)
| ~ rpoint(X1)
| ~ rpoint(vd1125)
| ~ ron(vd1125,X2)
| ~ ron(X1,vd1146) ),
inference(spm,[status(thm)],[1025,4130,theory(equality)]) ).
cnf(4231,plain,
( rinside(X1,X2)
| ~ rcenter(vd1123,X2)
| ~ rpoint(X1)
| $false
| ~ ron(vd1125,X2)
| ~ ron(X1,vd1146) ),
inference(rw,[status(thm)],[4218,777,theory(equality)]) ).
cnf(4232,plain,
( rinside(X1,X2)
| ~ rcenter(vd1123,X2)
| ~ rpoint(X1)
| ~ ron(vd1125,X2)
| ~ ron(X1,vd1146) ),
inference(cn,[status(thm)],[4231,theory(equality)]) ).
cnf(4265,plain,
( rinside(X1,esk4_2(vd1123,X2))
| vd1123 = X2
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X2))
| ~ ron(X1,vd1146)
| ~ rpoint(vd1123)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[4232,842,theory(equality)]) ).
cnf(4266,plain,
( rinside(X1,esk4_2(vd1123,X2))
| vd1123 = X2
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X2))
| ~ ron(X1,vd1146)
| $false
| ~ rpoint(X2) ),
inference(rw,[status(thm)],[4265,776,theory(equality)]) ).
cnf(4267,plain,
( rinside(X1,esk4_2(vd1123,X2))
| vd1123 = X2
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X2))
| ~ ron(X1,vd1146)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[4266,theory(equality)]) ).
cnf(5955,plain,
( vd1123 = X2
| ~ rcircle(esk4_2(vd1123,X2))
| ~ rpoint(X1)
| ~ ron(X1,esk4_2(vd1123,X2))
| ~ rpoint(X2)
| ~ ron(vd1125,esk4_2(vd1123,X2))
| ~ ron(X1,vd1146) ),
inference(spm,[status(thm)],[817,4267,theory(equality)]) ).
cnf(6079,plain,
( vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ rpoint(esk28_2(X2,esk4_2(vd1123,X1)))
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ ron(esk28_2(X2,esk4_2(vd1123,X1)),vd1146)
| ~ rintersect(X2,esk4_2(vd1123,X1))
| ~ rcircle(X2) ),
inference(spm,[status(thm)],[5955,860,theory(equality)]) ).
cnf(6328,plain,
( vd1123 = X1
| ~ rintersect(X2,esk4_2(vd1123,X1))
| ~ rcircle(esk4_2(vd1123,X1))
| ~ rcircle(X2)
| ~ rpoint(X1)
| ~ ron(esk28_2(X2,esk4_2(vd1123,X1)),vd1146)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(csr,[status(thm)],[6079,846]) ).
cnf(6329,plain,
( vd1123 = X1
| ~ rintersect(vd1146,esk4_2(vd1123,X1))
| ~ rcircle(esk4_2(vd1123,X1))
| ~ rcircle(vd1146)
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(spm,[status(thm)],[6328,862,theory(equality)]) ).
cnf(6330,plain,
( vd1123 = X1
| ~ rintersect(vd1146,esk4_2(vd1123,X1))
| ~ rcircle(esk4_2(vd1123,X1))
| $false
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(rw,[status(thm)],[6329,353,theory(equality)]) ).
cnf(6331,plain,
( vd1123 = X1
| ~ rintersect(vd1146,esk4_2(vd1123,X1))
| ~ rcircle(esk4_2(vd1123,X1))
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(cn,[status(thm)],[6330,theory(equality)]) ).
cnf(6332,plain,
( vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(csr,[status(thm)],[6331,2587]) ).
cnf(6333,plain,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1))
| ~ rpoint(vd1123) ),
inference(spm,[status(thm)],[6332,834,theory(equality)]) ).
cnf(6334,plain,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1))
| $false ),
inference(rw,[status(thm)],[6333,776,theory(equality)]) ).
cnf(6335,plain,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1125,esk4_2(vd1123,X1)) ),
inference(cn,[status(thm)],[6334,theory(equality)]) ).
cnf(6336,plain,
( vd1123 = vd1125
| ~ rpoint(vd1125)
| ~ rpoint(vd1123) ),
inference(spm,[status(thm)],[6335,836,theory(equality)]) ).
cnf(6337,plain,
( vd1123 = vd1125
| $false
| ~ rpoint(vd1123) ),
inference(rw,[status(thm)],[6336,777,theory(equality)]) ).
cnf(6338,plain,
( vd1123 = vd1125
| $false
| $false ),
inference(rw,[status(thm)],[6337,776,theory(equality)]) ).
cnf(6339,plain,
vd1123 = vd1125,
inference(cn,[status(thm)],[6338,theory(equality)]) ).
cnf(6340,plain,
$false,
inference(sr,[status(thm)],[6339,498,theory(equality)]) ).
cnf(6341,plain,
$false,
6340,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO282+1.p
% --creating new selector for []
% -running prover on /tmp/tmpiS3Sx_/sel_GEO282+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO282+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO282+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO282+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
%
%------------------------------------------------------------------------------