TSTP Solution File: GEO284+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO284+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 09:22:32 EST 2010
% Result : Theorem 0.51s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 80 ( 20 unt; 0 def)
% Number of atoms : 362 ( 118 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 473 ( 191 ~; 226 |; 52 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 50 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
vd1123 = vd1129,
file('/tmp/tmprztlLg/sel_GEO284+1.p_1','holds(258, 1150, 0)') ).
fof(8,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/tmprztlLg/sel_GEO284+1.p_1','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(32,axiom,
! [X252,X253] :
( ( X252 != X253
& ? [X254] :
( X253 = X254
& rpoint(X254) )
& ? [X255] :
( X252 = X255
& rpoint(X255) ) )
=> ? [X256] :
( ron(X253,X256)
& ron(X252,X256)
& rline(X256) ) ),
file('/tmp/tmprztlLg/sel_GEO284+1.p_1','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(58,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/tmprztlLg/sel_GEO284+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(61,conjecture,
? [X437,X438] :
( ron(vd1127,X438)
& rcenter(vd1123,X438)
& rcircle(X438)
& ron(vd1125,X437)
& ron(vd1123,X437)
& rline(X437) ),
file('/tmp/tmprztlLg/sel_GEO284+1.p_1','qe(259)') ).
fof(108,negated_conjecture,
~ ? [X437,X438] :
( ron(vd1127,X438)
& rcenter(vd1123,X438)
& rcircle(X438)
& ron(vd1125,X437)
& ron(vd1123,X437)
& rline(X437) ),
inference(assume_negation,[status(cth)],[61]) ).
cnf(172,plain,
vd1123 = vd1129,
inference(split_conjunct,[status(thm)],[6]) ).
fof(177,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)],[8]) ).
fof(178,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)],[177]) ).
fof(179,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)],[178]) ).
fof(180,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)],[179]) ).
fof(181,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)],[180]) ).
cnf(182,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(183,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(184,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[181]) ).
fof(347,plain,
! [X252,X253] :
( X252 = X253
| ! [X254] :
( X253 != X254
| ~ rpoint(X254) )
| ! [X255] :
( X252 != X255
| ~ rpoint(X255) )
| ? [X256] :
( ron(X253,X256)
& ron(X252,X256)
& rline(X256) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(348,plain,
! [X257,X258] :
( X257 = X258
| ! [X259] :
( X258 != X259
| ~ rpoint(X259) )
| ! [X260] :
( X257 != X260
| ~ rpoint(X260) )
| ? [X261] :
( ron(X258,X261)
& ron(X257,X261)
& rline(X261) ) ),
inference(variable_rename,[status(thm)],[347]) ).
fof(349,plain,
! [X257,X258] :
( X257 = X258
| ! [X259] :
( X258 != X259
| ~ rpoint(X259) )
| ! [X260] :
( X257 != X260
| ~ rpoint(X260) )
| ( ron(X258,esk19_2(X257,X258))
& ron(X257,esk19_2(X257,X258))
& rline(esk19_2(X257,X258)) ) ),
inference(skolemize,[status(esa)],[348]) ).
fof(350,plain,
! [X257,X258,X259,X260] :
( X257 != X260
| ~ rpoint(X260)
| X258 != X259
| ~ rpoint(X259)
| X257 = X258
| ( ron(X258,esk19_2(X257,X258))
& ron(X257,esk19_2(X257,X258))
& rline(esk19_2(X257,X258)) ) ),
inference(shift_quantors,[status(thm)],[349]) ).
fof(351,plain,
! [X257,X258,X259,X260] :
( ( ron(X258,esk19_2(X257,X258))
| X257 != X260
| ~ rpoint(X260)
| X258 != X259
| ~ rpoint(X259)
| X257 = X258 )
& ( ron(X257,esk19_2(X257,X258))
| X257 != X260
| ~ rpoint(X260)
| X258 != X259
| ~ rpoint(X259)
| X257 = X258 )
& ( rline(esk19_2(X257,X258))
| X257 != X260
| ~ rpoint(X260)
| X258 != X259
| ~ rpoint(X259)
| X257 = X258 ) ),
inference(distribute,[status(thm)],[350]) ).
cnf(352,plain,
( X1 = X2
| rline(esk19_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[351]) ).
cnf(353,plain,
( X1 = X2
| ron(X1,esk19_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[351]) ).
cnf(354,plain,
( X1 = X2
| ron(X2,esk19_2(X1,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[351]) ).
cnf(483,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(484,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[58]) ).
cnf(485,plain,
rpoint(vd1128),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(486,plain,
vd1127 = vd1128,
inference(split_conjunct,[status(thm)],[58]) ).
cnf(487,plain,
rpoint(vd1130),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(488,plain,
vd1129 = vd1130,
inference(split_conjunct,[status(thm)],[58]) ).
cnf(489,plain,
vd1123 != vd1125,
inference(split_conjunct,[status(thm)],[58]) ).
cnf(490,plain,
vd1127 != vd1129,
inference(split_conjunct,[status(thm)],[58]) ).
fof(503,negated_conjecture,
! [X437,X438] :
( ~ ron(vd1127,X438)
| ~ rcenter(vd1123,X438)
| ~ rcircle(X438)
| ~ ron(vd1125,X437)
| ~ ron(vd1123,X437)
| ~ rline(X437) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(504,negated_conjecture,
! [X439,X440] :
( ~ ron(vd1127,X440)
| ~ rcenter(vd1123,X440)
| ~ rcircle(X440)
| ~ ron(vd1125,X439)
| ~ ron(vd1123,X439)
| ~ rline(X439) ),
inference(variable_rename,[status(thm)],[503]) ).
cnf(505,negated_conjecture,
( ~ rline(X1)
| ~ ron(vd1123,X1)
| ~ ron(vd1125,X1)
| ~ rcircle(X2)
| ~ rcenter(vd1123,X2)
| ~ ron(vd1127,X2) ),
inference(split_conjunct,[status(thm)],[504]) ).
cnf(766,plain,
vd1130 = vd1123,
inference(rw,[status(thm)],[488,172,theory(equality)]) ).
cnf(767,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[487,766,theory(equality)]) ).
cnf(768,plain,
vd1127 != vd1123,
inference(rw,[status(thm)],[490,172,theory(equality)]) ).
cnf(769,plain,
rpoint(vd1127),
inference(rw,[status(thm)],[485,486,theory(equality)]) ).
cnf(770,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[483,484,theory(equality)]) ).
fof(798,plain,
( ~ epred1_0
<=> ! [X2] :
( ~ ron(vd1127,X2)
| ~ rcircle(X2)
| ~ rcenter(vd1123,X2) ) ),
introduced(definition),
[split] ).
cnf(799,plain,
( epred1_0
| ~ ron(vd1127,X2)
| ~ rcircle(X2)
| ~ rcenter(vd1123,X2) ),
inference(split_equiv,[status(thm)],[798]) ).
fof(800,plain,
( ~ epred2_0
<=> ! [X1] :
( ~ ron(vd1125,X1)
| ~ ron(vd1123,X1)
| ~ rline(X1) ) ),
introduced(definition),
[split] ).
cnf(801,plain,
( epred2_0
| ~ ron(vd1125,X1)
| ~ ron(vd1123,X1)
| ~ rline(X1) ),
inference(split_equiv,[status(thm)],[800]) ).
cnf(802,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[505,798,theory(equality)]),800,theory(equality)]),
[split] ).
cnf(825,plain,
( X1 = X2
| rline(esk19_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[352,theory(equality)]) ).
cnf(826,plain,
( X1 = X2
| rline(esk19_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[825,theory(equality)]) ).
cnf(827,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[182,theory(equality)]) ).
cnf(828,plain,
( X1 = X2
| rcircle(esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[827,theory(equality)]) ).
cnf(840,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[184,theory(equality)]) ).
cnf(841,plain,
( X1 = X2
| ron(X2,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[840,theory(equality)]) ).
cnf(842,plain,
( X1 = X2
| ron(X2,esk19_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[354,theory(equality)]) ).
cnf(843,plain,
( X1 = X2
| ron(X2,esk19_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[842,theory(equality)]) ).
cnf(844,plain,
( X1 = X2
| ron(X1,esk19_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[353,theory(equality)]) ).
cnf(845,plain,
( X1 = X2
| ron(X1,esk19_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[844,theory(equality)]) ).
cnf(846,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| X1 != X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[183,theory(equality)]) ).
cnf(847,plain,
( X1 = X2
| rcenter(X1,esk4_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[846,theory(equality)]) ).
cnf(1883,negated_conjecture,
( epred2_0
| X1 = X2
| ~ ron(vd1125,esk19_2(X1,X2))
| ~ ron(vd1123,esk19_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(spm,[status(thm)],[801,826,theory(equality)]) ).
cnf(1908,negated_conjecture,
( X1 = vd1125
| epred2_0
| ~ rpoint(X1)
| ~ rpoint(vd1125)
| ~ ron(vd1123,esk19_2(X1,vd1125)) ),
inference(spm,[status(thm)],[1883,843,theory(equality)]) ).
cnf(1909,negated_conjecture,
( X1 = vd1125
| epred2_0
| ~ rpoint(X1)
| $false
| ~ ron(vd1123,esk19_2(X1,vd1125)) ),
inference(rw,[status(thm)],[1908,770,theory(equality)]) ).
cnf(1910,negated_conjecture,
( X1 = vd1125
| epred2_0
| ~ rpoint(X1)
| ~ ron(vd1123,esk19_2(X1,vd1125)) ),
inference(cn,[status(thm)],[1909,theory(equality)]) ).
cnf(1916,negated_conjecture,
( vd1123 = vd1125
| epred2_0
| ~ rpoint(vd1123)
| ~ rpoint(vd1125) ),
inference(spm,[status(thm)],[1910,845,theory(equality)]) ).
cnf(1919,negated_conjecture,
( vd1123 = vd1125
| epred2_0
| $false
| ~ rpoint(vd1125) ),
inference(rw,[status(thm)],[1916,767,theory(equality)]) ).
cnf(1920,negated_conjecture,
( vd1123 = vd1125
| epred2_0
| $false
| $false ),
inference(rw,[status(thm)],[1919,770,theory(equality)]) ).
cnf(1921,negated_conjecture,
( vd1123 = vd1125
| epred2_0 ),
inference(cn,[status(thm)],[1920,theory(equality)]) ).
cnf(1922,negated_conjecture,
epred2_0,
inference(sr,[status(thm)],[1921,489,theory(equality)]) ).
cnf(1926,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[802,1922,theory(equality)]) ).
cnf(1927,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[1926,theory(equality)]) ).
cnf(1929,negated_conjecture,
( epred1_0
| vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ ron(vd1127,esk4_2(vd1123,X1))
| ~ rpoint(vd1123)
| ~ rpoint(X1) ),
inference(spm,[status(thm)],[799,847,theory(equality)]) ).
cnf(1933,negated_conjecture,
( epred1_0
| vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ ron(vd1127,esk4_2(vd1123,X1))
| $false
| ~ rpoint(X1) ),
inference(rw,[status(thm)],[1929,767,theory(equality)]) ).
cnf(1934,negated_conjecture,
( epred1_0
| vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ ron(vd1127,esk4_2(vd1123,X1))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[1933,theory(equality)]) ).
cnf(1935,negated_conjecture,
( vd1123 = X1
| ~ rcircle(esk4_2(vd1123,X1))
| ~ ron(vd1127,esk4_2(vd1123,X1))
| ~ rpoint(X1) ),
inference(sr,[status(thm)],[1934,1927,theory(equality)]) ).
cnf(1936,negated_conjecture,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1127,esk4_2(vd1123,X1))
| ~ rpoint(vd1123) ),
inference(spm,[status(thm)],[1935,828,theory(equality)]) ).
cnf(1937,negated_conjecture,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1127,esk4_2(vd1123,X1))
| $false ),
inference(rw,[status(thm)],[1936,767,theory(equality)]) ).
cnf(1938,negated_conjecture,
( vd1123 = X1
| ~ rpoint(X1)
| ~ ron(vd1127,esk4_2(vd1123,X1)) ),
inference(cn,[status(thm)],[1937,theory(equality)]) ).
cnf(1939,negated_conjecture,
( vd1123 = vd1127
| ~ rpoint(vd1127)
| ~ rpoint(vd1123) ),
inference(spm,[status(thm)],[1938,841,theory(equality)]) ).
cnf(1940,negated_conjecture,
( vd1123 = vd1127
| $false
| ~ rpoint(vd1123) ),
inference(rw,[status(thm)],[1939,769,theory(equality)]) ).
cnf(1941,negated_conjecture,
( vd1123 = vd1127
| $false
| $false ),
inference(rw,[status(thm)],[1940,767,theory(equality)]) ).
cnf(1942,negated_conjecture,
vd1123 = vd1127,
inference(cn,[status(thm)],[1941,theory(equality)]) ).
cnf(1943,negated_conjecture,
$false,
inference(sr,[status(thm)],[1942,768,theory(equality)]) ).
cnf(1944,negated_conjecture,
$false,
1943,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO284+1.p
% --creating new selector for []
% -running prover on /tmp/tmprztlLg/sel_GEO284+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO284+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO284+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO284+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
%
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