TSTP Solution File: GEO343+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO343+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 09:46:43 EST 2010
% Result : Theorem 0.62s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 259 ( 93 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 354 ( 141 ~; 147 |; 63 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 84 ( 0 sgn 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
( ron(vd1399,vd1416)
& ron(vd1401,vd1416)
& rline(vd1416) ),
file('/tmp/tmpBZWe3W/sel_GEO343+1.p_1','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(7,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/tmpBZWe3W/sel_GEO343+1.p_1','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(39,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/tmpBZWe3W/sel_GEO343+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(48,conjecture,
! [X367] :
( ( ron(vd1399,X367)
& ron(vd1401,X367)
& rline(X367) )
=> X367 = vd1416 ),
file('/tmp/tmpBZWe3W/sel_GEO343+1.p_1','qu(theu(the(408), 1), imp(the(408)))') ).
fof(117,negated_conjecture,
~ ! [X367] :
( ( ron(vd1399,X367)
& ron(vd1401,X367)
& rline(X367) )
=> X367 = vd1416 ),
inference(assume_negation,[status(cth)],[48]) ).
cnf(181,plain,
rline(vd1416),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(182,plain,
ron(vd1401,vd1416),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(183,plain,
ron(vd1399,vd1416),
inference(split_conjunct,[status(thm)],[6]) ).
fof(184,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)],[7]) ).
fof(185,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)],[184]) ).
fof(186,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)],[185]) ).
cnf(187,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)],[186]) ).
fof(396,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)],[39]) ).
fof(397,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)],[396]) ).
cnf(398,plain,
rpoint(esk23_0),
inference(split_conjunct,[status(thm)],[397]) ).
cnf(399,plain,
vd1399 = esk23_0,
inference(split_conjunct,[status(thm)],[397]) ).
cnf(402,plain,
rpoint(esk21_0),
inference(split_conjunct,[status(thm)],[397]) ).
cnf(403,plain,
vd1401 = esk21_0,
inference(split_conjunct,[status(thm)],[397]) ).
cnf(405,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[397]) ).
fof(455,negated_conjecture,
? [X367] :
( ron(vd1399,X367)
& ron(vd1401,X367)
& rline(X367)
& X367 != vd1416 ),
inference(fof_nnf,[status(thm)],[117]) ).
fof(456,negated_conjecture,
? [X368] :
( ron(vd1399,X368)
& ron(vd1401,X368)
& rline(X368)
& X368 != vd1416 ),
inference(variable_rename,[status(thm)],[455]) ).
fof(457,negated_conjecture,
( ron(vd1399,esk26_0)
& ron(vd1401,esk26_0)
& rline(esk26_0)
& esk26_0 != vd1416 ),
inference(skolemize,[status(esa)],[456]) ).
cnf(458,negated_conjecture,
esk26_0 != vd1416,
inference(split_conjunct,[status(thm)],[457]) ).
cnf(459,negated_conjecture,
rline(esk26_0),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(460,negated_conjecture,
ron(vd1401,esk26_0),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(461,negated_conjecture,
ron(vd1399,esk26_0),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(810,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[402,403,theory(equality)]) ).
cnf(812,plain,
rpoint(vd1399),
inference(rw,[status(thm)],[398,399,theory(equality)]) ).
cnf(1038,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)],[187,theory(equality)]) ).
cnf(1039,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)],[1038,theory(equality)]) ).
cnf(1040,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)],[1039,theory(equality)]) ).
cnf(1041,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)],[1040,theory(equality)]) ).
cnf(2970,plain,
( X1 = vd1399
| X2 = vd1416
| ~ rline(X2)
| ~ rline(vd1416)
| ~ rpoint(X1)
| ~ rpoint(vd1399)
| ~ ron(vd1399,X2)
| ~ ron(X1,vd1416)
| ~ ron(X1,X2) ),
inference(spm,[status(thm)],[1041,183,theory(equality)]) ).
cnf(3024,plain,
( X1 = vd1399
| X2 = vd1416
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| ~ rpoint(vd1399)
| ~ ron(vd1399,X2)
| ~ ron(X1,vd1416)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[2970,181,theory(equality)]) ).
cnf(3025,plain,
( X1 = vd1399
| X2 = vd1416
| ~ rline(X2)
| $false
| ~ rpoint(X1)
| $false
| ~ ron(vd1399,X2)
| ~ ron(X1,vd1416)
| ~ ron(X1,X2) ),
inference(rw,[status(thm)],[3024,812,theory(equality)]) ).
cnf(3026,plain,
( X1 = vd1399
| X2 = vd1416
| ~ rline(X2)
| ~ rpoint(X1)
| ~ ron(vd1399,X2)
| ~ ron(X1,vd1416)
| ~ ron(X1,X2) ),
inference(cn,[status(thm)],[3025,theory(equality)]) ).
cnf(3094,plain,
( X1 = vd1416
| vd1401 = vd1399
| ~ rline(X1)
| ~ rpoint(vd1401)
| ~ ron(vd1399,X1)
| ~ ron(vd1401,X1) ),
inference(spm,[status(thm)],[3026,182,theory(equality)]) ).
cnf(3116,plain,
( X1 = vd1416
| vd1401 = vd1399
| ~ rline(X1)
| $false
| ~ ron(vd1399,X1)
| ~ ron(vd1401,X1) ),
inference(rw,[status(thm)],[3094,810,theory(equality)]) ).
cnf(3117,plain,
( X1 = vd1416
| vd1401 = vd1399
| ~ rline(X1)
| ~ ron(vd1399,X1)
| ~ ron(vd1401,X1) ),
inference(cn,[status(thm)],[3116,theory(equality)]) ).
cnf(3118,plain,
( X1 = vd1416
| ~ rline(X1)
| ~ ron(vd1399,X1)
| ~ ron(vd1401,X1) ),
inference(sr,[status(thm)],[3117,405,theory(equality)]) ).
cnf(3137,negated_conjecture,
( esk26_0 = vd1416
| ~ ron(vd1399,esk26_0)
| ~ ron(vd1401,esk26_0) ),
inference(spm,[status(thm)],[3118,459,theory(equality)]) ).
cnf(3140,negated_conjecture,
( esk26_0 = vd1416
| $false
| ~ ron(vd1401,esk26_0) ),
inference(rw,[status(thm)],[3137,461,theory(equality)]) ).
cnf(3141,negated_conjecture,
( esk26_0 = vd1416
| $false
| $false ),
inference(rw,[status(thm)],[3140,460,theory(equality)]) ).
cnf(3142,negated_conjecture,
esk26_0 = vd1416,
inference(cn,[status(thm)],[3141,theory(equality)]) ).
cnf(3143,negated_conjecture,
$false,
inference(sr,[status(thm)],[3142,458,theory(equality)]) ).
cnf(3144,negated_conjecture,
$false,
3143,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO343+1.p
% --creating new selector for []
% -running prover on /tmp/tmpBZWe3W/sel_GEO343+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO343+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO343+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO343+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
%
%------------------------------------------------------------------------------