TSTP Solution File: GEO093+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO093+1 : TPTP v5.0.0. Released v2.4.0.
% 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 08:05:21 EST 2010
% Result : Theorem 11.63s
% Output : CNFRefutation 11.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 12 unt; 0 def)
% Number of atoms : 229 ( 34 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 252 ( 83 ~; 108 |; 54 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 133 ( 9 sgn 56 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X2,X3] :
( part_of(X3,X2)
<=> ! [X1] :
( incident_c(X1,X3)
=> incident_c(X1,X2) ) ),
file('/tmp/tmpd7R2iT/sel_GEO093+1.p_1',part_of_defn) ).
fof(5,axiom,
! [X2,X3,X4] :
( X2 = sum(X3,X4)
<=> ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X3)
| incident_c(X5,X4) ) ) ),
file('/tmp/tmpd7R2iT/sel_GEO093+1.p_1',sum_defn) ).
fof(8,axiom,
! [X2,X3] :
( ( part_of(X3,X2)
& X3 != X2 )
=> open(X3) ),
file('/tmp/tmpd7R2iT/sel_GEO093+1.p_1',c1) ).
fof(12,conjecture,
! [X2,X3,X4,X1] :
( ( open(X2)
& part_of(X3,X2)
& part_of(X4,X2)
& meet(X1,X3,X4) )
=> open(sum(X3,X4)) ),
file('/tmp/tmpd7R2iT/sel_GEO093+1.p_1',proposition_2_14_2) ).
fof(13,negated_conjecture,
~ ! [X2,X3,X4,X1] :
( ( open(X2)
& part_of(X3,X2)
& part_of(X4,X2)
& meet(X1,X3,X4) )
=> open(sum(X3,X4)) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(27,plain,
! [X2,X3] :
( ( ~ part_of(X3,X2)
| ! [X1] :
( ~ incident_c(X1,X3)
| incident_c(X1,X2) ) )
& ( ? [X1] :
( incident_c(X1,X3)
& ~ incident_c(X1,X2) )
| part_of(X3,X2) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X4,X5] :
( ( ~ part_of(X5,X4)
| ! [X6] :
( ~ incident_c(X6,X5)
| incident_c(X6,X4) ) )
& ( ? [X7] :
( incident_c(X7,X5)
& ~ incident_c(X7,X4) )
| part_of(X5,X4) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,plain,
! [X4,X5] :
( ( ~ part_of(X5,X4)
| ! [X6] :
( ~ incident_c(X6,X5)
| incident_c(X6,X4) ) )
& ( ( incident_c(esk3_2(X4,X5),X5)
& ~ incident_c(esk3_2(X4,X5),X4) )
| part_of(X5,X4) ) ),
inference(skolemize,[status(esa)],[28]) ).
fof(30,plain,
! [X4,X5,X6] :
( ( ~ incident_c(X6,X5)
| incident_c(X6,X4)
| ~ part_of(X5,X4) )
& ( ( incident_c(esk3_2(X4,X5),X5)
& ~ incident_c(esk3_2(X4,X5),X4) )
| part_of(X5,X4) ) ),
inference(shift_quantors,[status(thm)],[29]) ).
fof(31,plain,
! [X4,X5,X6] :
( ( ~ incident_c(X6,X5)
| incident_c(X6,X4)
| ~ part_of(X5,X4) )
& ( incident_c(esk3_2(X4,X5),X5)
| part_of(X5,X4) )
& ( ~ incident_c(esk3_2(X4,X5),X4)
| part_of(X5,X4) ) ),
inference(distribute,[status(thm)],[30]) ).
cnf(32,plain,
( part_of(X1,X2)
| ~ incident_c(esk3_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(33,plain,
( part_of(X1,X2)
| incident_c(esk3_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(34,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(46,plain,
! [X2,X3,X4] :
( ( X2 != sum(X3,X4)
| ! [X5] :
( ( ~ incident_c(X5,X2)
| incident_c(X5,X3)
| incident_c(X5,X4) )
& ( ( ~ incident_c(X5,X3)
& ~ incident_c(X5,X4) )
| incident_c(X5,X2) ) ) )
& ( ? [X5] :
( ( ~ incident_c(X5,X2)
| ( ~ incident_c(X5,X3)
& ~ incident_c(X5,X4) ) )
& ( incident_c(X5,X2)
| incident_c(X5,X3)
| incident_c(X5,X4) ) )
| X2 = sum(X3,X4) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(47,plain,
! [X6,X7,X8] :
( ( X6 != sum(X7,X8)
| ! [X9] :
( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8) )
& ( ( ~ incident_c(X9,X7)
& ~ incident_c(X9,X8) )
| incident_c(X9,X6) ) ) )
& ( ? [X10] :
( ( ~ incident_c(X10,X6)
| ( ~ incident_c(X10,X7)
& ~ incident_c(X10,X8) ) )
& ( incident_c(X10,X6)
| incident_c(X10,X7)
| incident_c(X10,X8) ) )
| X6 = sum(X7,X8) ) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,plain,
! [X6,X7,X8] :
( ( X6 != sum(X7,X8)
| ! [X9] :
( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8) )
& ( ( ~ incident_c(X9,X7)
& ~ incident_c(X9,X8) )
| incident_c(X9,X6) ) ) )
& ( ( ( ~ incident_c(esk6_3(X6,X7,X8),X6)
| ( ~ incident_c(esk6_3(X6,X7,X8),X7)
& ~ incident_c(esk6_3(X6,X7,X8),X8) ) )
& ( incident_c(esk6_3(X6,X7,X8),X6)
| incident_c(esk6_3(X6,X7,X8),X7)
| incident_c(esk6_3(X6,X7,X8),X8) ) )
| X6 = sum(X7,X8) ) ),
inference(skolemize,[status(esa)],[47]) ).
fof(49,plain,
! [X6,X7,X8,X9] :
( ( ( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8) )
& ( ( ~ incident_c(X9,X7)
& ~ incident_c(X9,X8) )
| incident_c(X9,X6) ) )
| X6 != sum(X7,X8) )
& ( ( ( ~ incident_c(esk6_3(X6,X7,X8),X6)
| ( ~ incident_c(esk6_3(X6,X7,X8),X7)
& ~ incident_c(esk6_3(X6,X7,X8),X8) ) )
& ( incident_c(esk6_3(X6,X7,X8),X6)
| incident_c(esk6_3(X6,X7,X8),X7)
| incident_c(esk6_3(X6,X7,X8),X8) ) )
| X6 = sum(X7,X8) ) ),
inference(shift_quantors,[status(thm)],[48]) ).
fof(50,plain,
! [X6,X7,X8,X9] :
( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X7)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X8)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(esk6_3(X6,X7,X8),X7)
| ~ incident_c(esk6_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( ~ incident_c(esk6_3(X6,X7,X8),X8)
| ~ incident_c(esk6_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( incident_c(esk6_3(X6,X7,X8),X6)
| incident_c(esk6_3(X6,X7,X8),X7)
| incident_c(esk6_3(X6,X7,X8),X8)
| X6 = sum(X7,X8) ) ),
inference(distribute,[status(thm)],[49]) ).
cnf(51,plain,
( X1 = sum(X2,X3)
| incident_c(esk6_3(X1,X2,X3),X3)
| incident_c(esk6_3(X1,X2,X3),X2)
| incident_c(esk6_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(53,plain,
( X1 = sum(X2,X3)
| ~ incident_c(esk6_3(X1,X2,X3),X1)
| ~ incident_c(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(54,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(55,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(56,plain,
( incident_c(X4,X3)
| incident_c(X4,X2)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[50]) ).
fof(73,plain,
! [X2,X3] :
( ~ part_of(X3,X2)
| X3 = X2
| open(X3) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(74,plain,
! [X4,X5] :
( ~ part_of(X5,X4)
| X5 = X4
| open(X5) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(91,negated_conjecture,
? [X2,X3,X4,X1] :
( open(X2)
& part_of(X3,X2)
& part_of(X4,X2)
& meet(X1,X3,X4)
& ~ open(sum(X3,X4)) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(92,negated_conjecture,
? [X5,X6,X7,X8] :
( open(X5)
& part_of(X6,X5)
& part_of(X7,X5)
& meet(X8,X6,X7)
& ~ open(sum(X6,X7)) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,negated_conjecture,
( open(esk10_0)
& part_of(esk11_0,esk10_0)
& part_of(esk12_0,esk10_0)
& meet(esk13_0,esk11_0,esk12_0)
& ~ open(sum(esk11_0,esk12_0)) ),
inference(skolemize,[status(esa)],[92]) ).
cnf(94,negated_conjecture,
~ open(sum(esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(96,negated_conjecture,
part_of(esk12_0,esk10_0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(97,negated_conjecture,
part_of(esk11_0,esk10_0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(98,negated_conjecture,
open(esk10_0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(107,negated_conjecture,
( incident_c(X1,esk10_0)
| ~ incident_c(X1,esk11_0) ),
inference(spm,[status(thm)],[34,97,theory(equality)]) ).
cnf(108,negated_conjecture,
( incident_c(X1,esk10_0)
| ~ incident_c(X1,esk12_0) ),
inference(spm,[status(thm)],[34,96,theory(equality)]) ).
cnf(111,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[54,theory(equality)]) ).
cnf(112,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[55,theory(equality)]) ).
cnf(124,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[56,theory(equality)]) ).
cnf(132,plain,
( sum(X4,X5) = X4
| incident_c(esk6_3(X4,X4,X5),X4)
| incident_c(esk6_3(X4,X4,X5),X5) ),
inference(ef,[status(thm)],[51,theory(equality)]) ).
cnf(149,negated_conjecture,
( part_of(X1,esk10_0)
| ~ incident_c(esk3_2(esk10_0,X1),esk11_0) ),
inference(spm,[status(thm)],[32,107,theory(equality)]) ).
cnf(171,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk3_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[32,111,theory(equality)]) ).
cnf(241,plain,
part_of(X1,sum(X2,X1)),
inference(spm,[status(thm)],[171,33,theory(equality)]) ).
cnf(249,plain,
( X1 = sum(X2,X1)
| open(X1) ),
inference(spm,[status(thm)],[75,241,theory(equality)]) ).
cnf(253,negated_conjecture,
sum(X1,sum(esk11_0,esk12_0)) = sum(esk11_0,esk12_0),
inference(spm,[status(thm)],[94,249,theory(equality)]) ).
cnf(293,negated_conjecture,
( incident_c(X1,sum(esk11_0,esk12_0))
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[112,253,theory(equality)]) ).
cnf(301,negated_conjecture,
( incident_c(esk3_2(X1,X2),sum(esk11_0,esk12_0))
| part_of(X2,X1) ),
inference(spm,[status(thm)],[293,33,theory(equality)]) ).
cnf(341,negated_conjecture,
( incident_c(esk3_2(X1,X2),esk12_0)
| incident_c(esk3_2(X1,X2),esk11_0)
| part_of(X2,X1) ),
inference(spm,[status(thm)],[124,301,theory(equality)]) ).
cnf(1031,plain,
( sum(X1,X2) = X1
| incident_c(esk6_3(X1,X1,X2),X2)
| ~ incident_c(esk6_3(X1,X1,X2),X1) ),
inference(spm,[status(thm)],[53,132,theory(equality)]) ).
cnf(8500,negated_conjecture,
( part_of(X1,sum(X2,esk12_0))
| incident_c(esk3_2(sum(X2,esk12_0),X1),esk11_0) ),
inference(spm,[status(thm)],[171,341,theory(equality)]) ).
cnf(51652,plain,
( sum(X1,X2) = X1
| incident_c(esk6_3(X1,X1,X2),X2) ),
inference(csr,[status(thm)],[1031,132]) ).
cnf(51656,negated_conjecture,
( incident_c(esk6_3(X1,X1,esk12_0),esk10_0)
| sum(X1,esk12_0) = X1 ),
inference(spm,[status(thm)],[108,51652,theory(equality)]) ).
cnf(62865,negated_conjecture,
( sum(esk10_0,esk12_0) = esk10_0
| ~ incident_c(esk6_3(esk10_0,esk10_0,esk12_0),esk10_0) ),
inference(spm,[status(thm)],[53,51656,theory(equality)]) ).
cnf(186855,negated_conjecture,
sum(esk10_0,esk12_0) = esk10_0,
inference(csr,[status(thm)],[62865,51656]) ).
cnf(186946,negated_conjecture,
( part_of(X1,esk10_0)
| incident_c(esk3_2(esk10_0,X1),esk11_0) ),
inference(spm,[status(thm)],[8500,186855,theory(equality)]) ).
cnf(187959,negated_conjecture,
part_of(X1,esk10_0),
inference(csr,[status(thm)],[186946,149]) ).
cnf(187960,negated_conjecture,
( X1 = esk10_0
| open(X1) ),
inference(spm,[status(thm)],[75,187959,theory(equality)]) ).
cnf(188079,negated_conjecture,
sum(esk11_0,esk12_0) = esk10_0,
inference(spm,[status(thm)],[94,187960,theory(equality)]) ).
cnf(188412,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[94,188079,theory(equality)]),98,theory(equality)]) ).
cnf(188413,negated_conjecture,
$false,
inference(cn,[status(thm)],[188412,theory(equality)]) ).
cnf(188414,negated_conjecture,
$false,
188413,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO093+1.p
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmpd7R2iT/sel_GEO093+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO093+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO093+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO093+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
%
%------------------------------------------------------------------------------