TSTP Solution File: GEO280+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO280+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 09:17:03 EST 2010
% Result : Theorem 0.69s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 81 ( 28 unt; 0 def)
% Number of atoms : 325 ( 76 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 442 ( 198 ~; 197 |; 41 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 76 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X22,X23] :
( ( X22 = X23
& rreal(X23) )
=> ~ rless(X22,X22) ),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(6,axiom,
rpoint(vd1136),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','pred(245, 0)') ).
fof(15,axiom,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','holds(245, 1137, 0)') ).
fof(17,conjecture,
~ rinside(vd1125,vd1139),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','neg(neg(247))') ).
fof(30,axiom,
( ron(vd1136,vd1139)
& rcenter(vd1123,vd1139)
& rcircle(vd1139)
& ron(vd1125,vd1138)
& ron(vd1123,vd1138) ),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof(44,axiom,
! [X316,X317] :
( ( ? [X318] :
( X317 = X318
& rpoint(X318) )
& ? [X319] :
( X316 = X319
& rpoint(X319) ) )
=> ? [X320] :
( vf(X316,X317) = X320
& rreal(X320) ) ),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(61,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/tmpYn-kUG/sel_GEO280+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(83,axiom,
! [X551,X552,X553,X554] :
( ( ron(X552,X554)
& rcenter(X553,X554)
& ? [X555] :
( X552 = X555
& rpoint(X555) )
& ? [X556] :
( X551 = X556
& rpoint(X556) ) )
=> ( rless(vf(X553,X551),vf(X553,X552))
<=> rinside(X551,X554) ) ),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(85,axiom,
! [X557,X558,X559,X560,X561,X562] :
( ( rless(X559,X561)
& rless(X557,X559)
& X561 = X562
& rreal(X562)
& X559 = X560
& rreal(X560)
& X557 = X558
& rreal(X558) )
=> rless(X557,X561) ),
file('/tmp/tmpYn-kUG/sel_GEO280+1.p_1','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(112,negated_conjecture,
~ ~ rinside(vd1125,vd1139),
inference(assume_negation,[status(cth)],[17]) ).
fof(114,plain,
! [X22,X23] :
( ( X22 = X23
& rreal(X23) )
=> ~ rless(X22,X22) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(118,negated_conjecture,
rinside(vd1125,vd1139),
inference(fof_simplification,[status(thm)],[112,theory(equality)]) ).
fof(170,plain,
! [X22,X23] :
( X22 != X23
| ~ rreal(X23)
| ~ rless(X22,X22) ),
inference(fof_nnf,[status(thm)],[114]) ).
fof(171,plain,
! [X24,X25] :
( X24 != X25
| ~ rreal(X25)
| ~ rless(X24,X24) ),
inference(variable_rename,[status(thm)],[170]) ).
cnf(172,plain,
( ~ rless(X1,X1)
| ~ rreal(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(177,plain,
rpoint(vd1136),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(224,plain,
vf(vd1127,vd1129) = vf(vd1123,vd1136),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(228,negated_conjecture,
rinside(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(330,plain,
rcenter(vd1123,vd1139),
inference(split_conjunct,[status(thm)],[30]) ).
cnf(331,plain,
ron(vd1136,vd1139),
inference(split_conjunct,[status(thm)],[30]) ).
fof(407,plain,
! [X316,X317] :
( ! [X318] :
( X317 != X318
| ~ rpoint(X318) )
| ! [X319] :
( X316 != X319
| ~ rpoint(X319) )
| ? [X320] :
( vf(X316,X317) = X320
& rreal(X320) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(408,plain,
! [X321,X322] :
( ! [X323] :
( X322 != X323
| ~ rpoint(X323) )
| ! [X324] :
( X321 != X324
| ~ rpoint(X324) )
| ? [X325] :
( vf(X321,X322) = X325
& rreal(X325) ) ),
inference(variable_rename,[status(thm)],[407]) ).
fof(409,plain,
! [X321,X322] :
( ! [X323] :
( X322 != X323
| ~ rpoint(X323) )
| ! [X324] :
( X321 != X324
| ~ rpoint(X324) )
| ( vf(X321,X322) = esk22_2(X321,X322)
& rreal(esk22_2(X321,X322)) ) ),
inference(skolemize,[status(esa)],[408]) ).
fof(410,plain,
! [X321,X322,X323,X324] :
( X321 != X324
| ~ rpoint(X324)
| X322 != X323
| ~ rpoint(X323)
| ( vf(X321,X322) = esk22_2(X321,X322)
& rreal(esk22_2(X321,X322)) ) ),
inference(shift_quantors,[status(thm)],[409]) ).
fof(411,plain,
! [X321,X322,X323,X324] :
( ( vf(X321,X322) = esk22_2(X321,X322)
| X321 != X324
| ~ rpoint(X324)
| X322 != X323
| ~ rpoint(X323) )
& ( rreal(esk22_2(X321,X322))
| X321 != X324
| ~ rpoint(X324)
| X322 != X323
| ~ rpoint(X323) ) ),
inference(distribute,[status(thm)],[410]) ).
cnf(412,plain,
( rreal(esk22_2(X4,X2))
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[411]) ).
cnf(413,plain,
( vf(X4,X2) = esk22_2(X4,X2)
| ~ rpoint(X1)
| X2 != X1
| ~ rpoint(X3)
| X4 != X3 ),
inference(split_conjunct,[status(thm)],[411]) ).
cnf(499,plain,
rpoint(vd1124),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(500,plain,
vd1123 = vd1124,
inference(split_conjunct,[status(thm)],[61]) ).
cnf(501,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(502,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[61]) ).
cnf(503,plain,
rpoint(vd1128),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(504,plain,
vd1127 = vd1128,
inference(split_conjunct,[status(thm)],[61]) ).
cnf(505,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(506,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],[61]) ).
cnf(509,plain,
rless(vf(vd1127,vd1129),vf(vd1123,vd1125)),
inference(split_conjunct,[status(thm)],[61]) ).
fof(633,plain,
! [X551,X552,X553,X554] :
( ~ ron(X552,X554)
| ~ rcenter(X553,X554)
| ! [X555] :
( X552 != X555
| ~ rpoint(X555) )
| ! [X556] :
( X551 != X556
| ~ rpoint(X556) )
| ( ( ~ rless(vf(X553,X551),vf(X553,X552))
| rinside(X551,X554) )
& ( ~ rinside(X551,X554)
| rless(vf(X553,X551),vf(X553,X552)) ) ) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(634,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(variable_rename,[status(thm)],[633]) ).
fof(635,plain,
! [X557,X558,X559,X560,X561,X562] :
( X557 != X562
| ~ rpoint(X562)
| X558 != X561
| ~ rpoint(X561)
| ~ ron(X558,X560)
| ~ rcenter(X559,X560)
| ( ( ~ rless(vf(X559,X557),vf(X559,X558))
| rinside(X557,X560) )
& ( ~ rinside(X557,X560)
| rless(vf(X559,X557),vf(X559,X558)) ) ) ),
inference(shift_quantors,[status(thm)],[634]) ).
fof(636,plain,
! [X557,X558,X559,X560,X561,X562] :
( ( ~ rless(vf(X559,X557),vf(X559,X558))
| rinside(X557,X560)
| X557 != X562
| ~ rpoint(X562)
| X558 != X561
| ~ rpoint(X561)
| ~ ron(X558,X560)
| ~ rcenter(X559,X560) )
& ( ~ rinside(X557,X560)
| rless(vf(X559,X557),vf(X559,X558))
| X557 != X562
| ~ rpoint(X562)
| X558 != X561
| ~ rpoint(X561)
| ~ ron(X558,X560)
| ~ rcenter(X559,X560) ) ),
inference(distribute,[status(thm)],[635]) ).
cnf(637,plain,
( rless(vf(X1,X6),vf(X1,X3))
| ~ rcenter(X1,X2)
| ~ ron(X3,X2)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X6 != X5
| ~ rinside(X6,X2) ),
inference(split_conjunct,[status(thm)],[636]) ).
fof(640,plain,
! [X557,X558,X559,X560,X561,X562] :
( ~ rless(X559,X561)
| ~ rless(X557,X559)
| X561 != X562
| ~ rreal(X562)
| X559 != X560
| ~ rreal(X560)
| X557 != X558
| ~ rreal(X558)
| rless(X557,X561) ),
inference(fof_nnf,[status(thm)],[85]) ).
fof(641,plain,
! [X563,X564,X565,X566,X567,X568] :
( ~ rless(X565,X567)
| ~ rless(X563,X565)
| X567 != X568
| ~ rreal(X568)
| X565 != X566
| ~ rreal(X566)
| X563 != X564
| ~ rreal(X564)
| rless(X563,X567) ),
inference(variable_rename,[status(thm)],[640]) ).
cnf(642,plain,
( rless(X1,X2)
| ~ rreal(X3)
| X1 != X3
| ~ rreal(X4)
| X5 != X4
| ~ rreal(X6)
| X2 != X6
| ~ rless(X1,X5)
| ~ rless(X5,X2) ),
inference(split_conjunct,[status(thm)],[641]) ).
cnf(776,plain,
rpoint(vd1129),
inference(rw,[status(thm)],[505,506,theory(equality)]) ).
cnf(777,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[503,504,theory(equality)]) ).
cnf(778,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[501,502,theory(equality)]) ).
cnf(779,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[499,500,theory(equality)]) ).
cnf(783,plain,
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(er,[status(thm)],[172,theory(equality)]) ).
cnf(786,plain,
rless(vf(vd1123,vd1136),vf(vd1123,vd1125)),
inference(rw,[status(thm)],[509,224,theory(equality)]) ).
cnf(812,plain,
( rreal(esk22_2(X1,X2))
| X3 != X2
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[412,theory(equality)]) ).
cnf(813,plain,
( rreal(esk22_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[812,theory(equality)]) ).
cnf(829,plain,
( esk22_2(X1,X2) = vf(X1,X2)
| X3 != X2
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[413,theory(equality)]) ).
cnf(830,plain,
( esk22_2(X1,X2) = vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[829,theory(equality)]) ).
cnf(907,plain,
( rless(X1,X2)
| X2 != X3
| X1 != X4
| ~ rless(X5,X2)
| ~ rless(X1,X5)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rreal(X4) ),
inference(er,[status(thm)],[642,theory(equality)]) ).
cnf(908,plain,
( rless(X1,X2)
| X1 != X3
| ~ rless(X4,X2)
| ~ rless(X1,X4)
| ~ rreal(X2)
| ~ rreal(X4)
| ~ rreal(X3) ),
inference(er,[status(thm)],[907,theory(equality)]) ).
cnf(909,plain,
( rless(X1,X2)
| ~ rless(X3,X2)
| ~ rless(X1,X3)
| ~ rreal(X2)
| ~ rreal(X3)
| ~ rreal(X1) ),
inference(er,[status(thm)],[908,theory(equality)]) ).
cnf(1018,plain,
( rless(vf(X1,X2),vf(X1,X3))
| X3 != X4
| ~ rinside(X2,X5)
| ~ rcenter(X1,X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ ron(X3,X5) ),
inference(er,[status(thm)],[637,theory(equality)]) ).
cnf(1019,plain,
( rless(vf(X1,X2),vf(X1,X3))
| ~ rinside(X2,X4)
| ~ rcenter(X1,X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[1018,theory(equality)]) ).
cnf(1904,plain,
( rreal(vf(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[813,830,theory(equality)]) ).
cnf(1905,plain,
( rreal(vf(vd1123,vd1136))
| ~ rpoint(vd1127)
| ~ rpoint(vd1129) ),
inference(spm,[status(thm)],[1904,224,theory(equality)]) ).
cnf(1907,plain,
( rreal(vf(vd1123,vd1136))
| $false
| ~ rpoint(vd1129) ),
inference(rw,[status(thm)],[1905,777,theory(equality)]) ).
cnf(1908,plain,
( rreal(vf(vd1123,vd1136))
| $false
| $false ),
inference(rw,[status(thm)],[1907,776,theory(equality)]) ).
cnf(1909,plain,
rreal(vf(vd1123,vd1136)),
inference(cn,[status(thm)],[1908,theory(equality)]) ).
cnf(2154,plain,
( rless(X1,vf(vd1123,vd1125))
| ~ rless(X1,vf(vd1123,vd1136))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1136))
| ~ rreal(X1) ),
inference(spm,[status(thm)],[909,786,theory(equality)]) ).
cnf(2158,plain,
( rless(X1,vf(vd1123,vd1125))
| ~ rless(X1,vf(vd1123,vd1136))
| ~ rreal(vf(vd1123,vd1125))
| $false
| ~ rreal(X1) ),
inference(rw,[status(thm)],[2154,1909,theory(equality)]) ).
cnf(2159,plain,
( rless(X1,vf(vd1123,vd1125))
| ~ rless(X1,vf(vd1123,vd1136))
| ~ rreal(vf(vd1123,vd1125))
| ~ rreal(X1) ),
inference(cn,[status(thm)],[2158,theory(equality)]) ).
cnf(2588,negated_conjecture,
( rless(vf(X1,vd1125),vf(X1,X2))
| ~ rcenter(X1,vd1139)
| ~ rpoint(vd1125)
| ~ rpoint(X2)
| ~ ron(X2,vd1139) ),
inference(spm,[status(thm)],[1019,228,theory(equality)]) ).
cnf(2592,negated_conjecture,
( rless(vf(X1,vd1125),vf(X1,X2))
| ~ rcenter(X1,vd1139)
| $false
| ~ rpoint(X2)
| ~ ron(X2,vd1139) ),
inference(rw,[status(thm)],[2588,778,theory(equality)]) ).
cnf(2593,negated_conjecture,
( rless(vf(X1,vd1125),vf(X1,X2))
| ~ rcenter(X1,vd1139)
| ~ rpoint(X2)
| ~ ron(X2,vd1139) ),
inference(cn,[status(thm)],[2592,theory(equality)]) ).
cnf(4016,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| ~ rcenter(vd1123,vd1139)
| ~ rpoint(vd1136)
| ~ ron(vd1136,vd1139) ),
inference(spm,[status(thm)],[2159,2593,theory(equality)]) ).
cnf(4040,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| $false
| ~ rpoint(vd1136)
| ~ ron(vd1136,vd1139) ),
inference(rw,[status(thm)],[4016,330,theory(equality)]) ).
cnf(4041,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| $false
| $false
| ~ ron(vd1136,vd1139) ),
inference(rw,[status(thm)],[4040,177,theory(equality)]) ).
cnf(4042,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4041,331,theory(equality)]) ).
cnf(4043,negated_conjecture,
( rless(vf(vd1123,vd1125),vf(vd1123,vd1125))
| ~ rreal(vf(vd1123,vd1125)) ),
inference(cn,[status(thm)],[4042,theory(equality)]) ).
cnf(4067,negated_conjecture,
~ rreal(vf(vd1123,vd1125)),
inference(csr,[status(thm)],[4043,783]) ).
cnf(4068,negated_conjecture,
( ~ rpoint(vd1123)
| ~ rpoint(vd1125) ),
inference(spm,[status(thm)],[4067,1904,theory(equality)]) ).
cnf(4069,negated_conjecture,
( $false
| ~ rpoint(vd1125) ),
inference(rw,[status(thm)],[4068,779,theory(equality)]) ).
cnf(4070,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[4069,778,theory(equality)]) ).
cnf(4071,negated_conjecture,
$false,
inference(cn,[status(thm)],[4070,theory(equality)]) ).
cnf(4072,negated_conjecture,
$false,
4071,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO280+1.p
% --creating new selector for []
% -running prover on /tmp/tmpYn-kUG/sel_GEO280+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO280+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO280+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO280+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
%
%------------------------------------------------------------------------------