TSTP Solution File: GEO344+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO344+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 09:47:03 EST 2010
% Result : Theorem 0.63s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 259 ( 93 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 355 ( 142 ~; 147 |; 63 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 84 ( 0 sgn 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X38,X39,X40,X41] :
( ( ron(X39,X41)
& ron(X39,X40)
& ron(X38,X41)
& ron(X38,X40)
& ? [X42] :
( X41 = X42
& rline(X42) )
& ? [X43] :
( X40 = X43
& rline(X43) )
& X38 != X39
& ? [X44] :
( X39 = X44
& rpoint(X44) )
& ? [X45] :
( X38 = X45
& rpoint(X45) ) )
=> X40 = X41 ),
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(11,axiom,
( ron(vd1409,vd1419)
& ron(vd1401,vd1419)
& rline(vd1419) ),
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))') ).
fof(41,axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X306] :
( vd1401 = X306
& rpoint(X306) )
& ? [X307] :
( vd1400 = X307
& rpoint(X307) )
& ? [X308] :
( vd1399 = X308
& rpoint(X308) ) ),
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(65,conjecture,
! [X460] :
( ( ron(vd1409,X460)
& ron(vd1401,X460)
& rline(X460) )
=> X460 = vd1419 ),
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','qu(theu(the(409), 1), imp(the(409)))') ).
fof(77,axiom,
rpoint(vd1409),
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','pred(406, 0)') ).
fof(90,axiom,
vd1409 != vd1401,
file('/tmp/tmp74XF-w/sel_GEO344+1.p_1','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(120,negated_conjecture,
~ ! [X460] :
( ( ron(vd1409,X460)
& ron(vd1401,X460)
& rline(X460) )
=> X460 = vd1419 ),
inference(assume_negation,[status(cth)],[65]) ).
fof(188,plain,
! [X38,X39,X40,X41] :
( ~ ron(X39,X41)
| ~ ron(X39,X40)
| ~ ron(X38,X41)
| ~ ron(X38,X40)
| ! [X42] :
( X41 != X42
| ~ rline(X42) )
| ! [X43] :
( X40 != X43
| ~ rline(X43) )
| X38 = X39
| ! [X44] :
( X39 != X44
| ~ rpoint(X44) )
| ! [X45] :
( X38 != X45
| ~ rpoint(X45) )
| X40 = X41 ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(189,plain,
! [X46,X47,X48,X49] :
( ~ ron(X47,X49)
| ~ ron(X47,X48)
| ~ ron(X46,X49)
| ~ ron(X46,X48)
| ! [X50] :
( X49 != X50
| ~ rline(X50) )
| ! [X51] :
( X48 != X51
| ~ rline(X51) )
| X46 = X47
| ! [X52] :
( X47 != X52
| ~ rpoint(X52) )
| ! [X53] :
( X46 != X53
| ~ rpoint(X53) )
| X48 = X49 ),
inference(variable_rename,[status(thm)],[188]) ).
fof(190,plain,
! [X46,X47,X48,X49,X50,X51,X52,X53] :
( X46 != X53
| ~ rpoint(X53)
| X47 != X52
| ~ rpoint(X52)
| X48 != X51
| ~ rline(X51)
| X49 != X50
| ~ rline(X50)
| ~ ron(X47,X49)
| ~ ron(X47,X48)
| ~ ron(X46,X49)
| ~ ron(X46,X48)
| X46 = X47
| X48 = X49 ),
inference(shift_quantors,[status(thm)],[189]) ).
cnf(191,plain,
( X1 = X2
| X3 = X4
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X1)
| ~ ron(X4,X2)
| ~ rline(X5)
| X2 != X5
| ~ rline(X6)
| X1 != X6
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X8)
| X3 != X8 ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(209,plain,
rline(vd1419),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(210,plain,
ron(vd1401,vd1419),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(211,plain,
ron(vd1409,vd1419),
inference(split_conjunct,[status(thm)],[11]) ).
fof(403,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X309] :
( vd1401 = X309
& rpoint(X309) )
& ? [X310] :
( vd1400 = X310
& rpoint(X310) )
& ? [X311] :
( vd1399 = X311
& rpoint(X311) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(404,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk21_0
& rpoint(esk21_0)
& vd1400 = esk22_0
& rpoint(esk22_0)
& vd1399 = esk23_0
& rpoint(esk23_0) ),
inference(skolemize,[status(esa)],[403]) ).
cnf(409,plain,
rpoint(esk21_0),
inference(split_conjunct,[status(thm)],[404]) ).
cnf(410,plain,
vd1401 = esk21_0,
inference(split_conjunct,[status(thm)],[404]) ).
fof(533,negated_conjecture,
? [X460] :
( ron(vd1409,X460)
& ron(vd1401,X460)
& rline(X460)
& X460 != vd1419 ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(534,negated_conjecture,
? [X461] :
( ron(vd1409,X461)
& ron(vd1401,X461)
& rline(X461)
& X461 != vd1419 ),
inference(variable_rename,[status(thm)],[533]) ).
fof(535,negated_conjecture,
( ron(vd1409,esk31_0)
& ron(vd1401,esk31_0)
& rline(esk31_0)
& esk31_0 != vd1419 ),
inference(skolemize,[status(esa)],[534]) ).
cnf(536,negated_conjecture,
esk31_0 != vd1419,
inference(split_conjunct,[status(thm)],[535]) ).
cnf(537,negated_conjecture,
rline(esk31_0),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(538,negated_conjecture,
ron(vd1401,esk31_0),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(539,negated_conjecture,
ron(vd1409,esk31_0),
inference(split_conjunct,[status(thm)],[535]) ).
cnf(596,plain,
rpoint(vd1409),
inference(split_conjunct,[status(thm)],[77]) ).
cnf(671,plain,
vd1409 != vd1401,
inference(split_conjunct,[status(thm)],[90]) ).
cnf(820,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[409,410,theory(equality)]) ).
cnf(1065,plain,
( X1 = X2
| X3 = X4
| X3 != X5
| X2 != X6
| X1 != X7
| ~ rline(X7)
| ~ rline(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[191,theory(equality)]) ).
cnf(1066,plain,
( X1 = X2
| X3 = X4
| X2 != X5
| X1 != X6
| ~ rline(X6)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1065,theory(equality)]) ).
cnf(1067,plain,
( X1 = X2
| X3 = X4
| X1 != X5
| ~ rline(X5)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1066,theory(equality)]) ).
cnf(1068,plain,
( X1 = X2
| X3 = X4
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[1067,theory(equality)]) ).
cnf(3130,plain,
( X1 = vd1401
| X2 = vd1419
| ~ rline(X2)
| ~ rline(vd1419)
| ~ rpoint(X1)
| ~ rpoint(vd1401)
| ~ ron(vd1401,X2)
| ~ ron(X1,vd1419)
| ~ ron(X1,X2) ),
inference(spm,[status(thm)],[1068,210,theory(equality)]) ).
cnf(3187,plain,
( X1 = vd1401
| X2 = vd1419
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1401)
| ~ ron(vd1401,X2)
| ~ ron(X1,vd1419)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[3130,209,theory(equality)]) ).
cnf(3188,plain,
( X1 = vd1401
| X2 = vd1419
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| $false
| ~ ron(vd1401,X2)
| ~ ron(X1,vd1419)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[3187,820,theory(equality)]) ).
cnf(3189,plain,
( X1 = vd1401
| X2 = vd1419
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1401,X2)
| ~ ron(X1,vd1419)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[3188,theory(equality)]) ).
cnf(3285,plain,
( X1 = vd1419
| vd1409 = vd1401
| ~ rline(X1)
| ~ rpoint(vd1409)
| ~ ron(vd1401,X1)
| ~ ron(vd1409,X1) ),
inference(spm,[status(thm)],[3189,211,theory(equality)]) ).
cnf(3306,plain,
( X1 = vd1419
| vd1409 = vd1401
| ~ rline(X1)
| $false
| ~ ron(vd1401,X1)
| ~ ron(vd1409,X1) ),
inference(rw,[status(thm)],[3285,596,theory(equality)]) ).
cnf(3307,plain,
( X1 = vd1419
| vd1409 = vd1401
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(vd1409,X1) ),
inference(cn,[status(thm)],[3306,theory(equality)]) ).
cnf(3308,plain,
( X1 = vd1419
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(vd1409,X1) ),
inference(sr,[status(thm)],[3307,671,theory(equality)]) ).
cnf(3325,negated_conjecture,
( esk31_0 = vd1419
| ~ ron(vd1401,esk31_0)
| ~ ron(vd1409,esk31_0) ),
inference(spm,[status(thm)],[3308,537,theory(equality)]) ).
cnf(3329,negated_conjecture,
( esk31_0 = vd1419
| $false
| ~ ron(vd1409,esk31_0) ),
inference(rw,[status(thm)],[3325,538,theory(equality)]) ).
cnf(3330,negated_conjecture,
( esk31_0 = vd1419
| $false
| $false ),
inference(rw,[status(thm)],[3329,539,theory(equality)]) ).
cnf(3331,negated_conjecture,
esk31_0 = vd1419,
inference(cn,[status(thm)],[3330,theory(equality)]) ).
cnf(3332,negated_conjecture,
$false,
inference(sr,[status(thm)],[3331,536,theory(equality)]) ).
cnf(3333,negated_conjecture,
$false,
3332,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO344+1.p
% --creating new selector for []
% -running prover on /tmp/tmp74XF-w/sel_GEO344+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO344+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO344+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO344+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
%
%------------------------------------------------------------------------------