TSTP Solution File: GEO084+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO084+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 08:04:21 EST 2010
% Result : Theorem 0.27s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 9 unt; 0 def)
% Number of atoms : 203 ( 23 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 231 ( 79 ~; 98 |; 48 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 117 ( 6 sgn 50 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X2,X3] :
( part_of(X3,X2)
<=> ! [X1] :
( incident_c(X1,X3)
=> incident_c(X1,X2) ) ),
file('/tmp/tmpktOb6T/sel_GEO084+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/tmpktOb6T/sel_GEO084+1.p_1',sum_defn) ).
fof(10,conjecture,
! [X3,X4,X6,X1] :
( ( part_of(X3,X6)
& part_of(X4,X6)
& meet(X1,X3,X4) )
=> part_of(sum(X3,X4),X6) ),
file('/tmp/tmpktOb6T/sel_GEO084+1.p_1',corollary_2_6_2) ).
fof(11,negated_conjecture,
~ ! [X3,X4,X6,X1] :
( ( part_of(X3,X6)
& part_of(X4,X6)
& meet(X1,X3,X4) )
=> part_of(sum(X3,X4),X6) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(25,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(26,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)],[25]) ).
fof(27,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)],[26]) ).
fof(28,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)],[27]) ).
fof(29,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)],[28]) ).
cnf(30,plain,
( part_of(X1,X2)
| ~ incident_c(esk3_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(31,plain,
( part_of(X1,X2)
| incident_c(esk3_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(32,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(44,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(45,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)],[44]) ).
fof(46,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)],[45]) ).
fof(47,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)],[46]) ).
fof(48,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)],[47]) ).
cnf(49,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)],[48]) ).
cnf(50,plain,
( X1 = sum(X2,X3)
| ~ incident_c(esk6_3(X1,X2,X3),X1)
| ~ incident_c(esk6_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(54,plain,
( incident_c(X4,X3)
| incident_c(X4,X2)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(80,negated_conjecture,
? [X3,X4,X6,X1] :
( part_of(X3,X6)
& part_of(X4,X6)
& meet(X1,X3,X4)
& ~ part_of(sum(X3,X4),X6) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(81,negated_conjecture,
? [X7,X8,X9,X10] :
( part_of(X7,X9)
& part_of(X8,X9)
& meet(X10,X7,X8)
& ~ part_of(sum(X7,X8),X9) ),
inference(variable_rename,[status(thm)],[80]) ).
fof(82,negated_conjecture,
( part_of(esk9_0,esk11_0)
& part_of(esk10_0,esk11_0)
& meet(esk12_0,esk9_0,esk10_0)
& ~ part_of(sum(esk9_0,esk10_0),esk11_0) ),
inference(skolemize,[status(esa)],[81]) ).
cnf(83,negated_conjecture,
~ part_of(sum(esk9_0,esk10_0),esk11_0),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(85,negated_conjecture,
part_of(esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(86,negated_conjecture,
part_of(esk9_0,esk11_0),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(91,negated_conjecture,
( incident_c(X1,esk11_0)
| ~ incident_c(X1,esk9_0) ),
inference(spm,[status(thm)],[32,86,theory(equality)]) ).
cnf(92,negated_conjecture,
( incident_c(X1,esk11_0)
| ~ incident_c(X1,esk10_0) ),
inference(spm,[status(thm)],[32,85,theory(equality)]) ).
cnf(94,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[52,theory(equality)]) ).
cnf(101,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[54,theory(equality)]) ).
cnf(112,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)],[49,theory(equality)]) ).
cnf(128,negated_conjecture,
( incident_c(esk3_2(X1,esk9_0),esk11_0)
| part_of(esk9_0,X1) ),
inference(spm,[status(thm)],[91,31,theory(equality)]) ).
cnf(141,negated_conjecture,
( incident_c(esk3_2(X1,esk10_0),esk11_0)
| part_of(esk10_0,X1) ),
inference(spm,[status(thm)],[92,31,theory(equality)]) ).
cnf(153,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk3_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[30,94,theory(equality)]) ).
cnf(176,plain,
( incident_c(esk3_2(X1,sum(X2,X3)),X3)
| incident_c(esk3_2(X1,sum(X2,X3)),X2)
| part_of(sum(X2,X3),X1) ),
inference(spm,[status(thm)],[101,31,theory(equality)]) ).
cnf(188,negated_conjecture,
part_of(esk9_0,sum(X1,esk11_0)),
inference(spm,[status(thm)],[153,128,theory(equality)]) ).
cnf(190,negated_conjecture,
part_of(esk10_0,sum(X1,esk11_0)),
inference(spm,[status(thm)],[153,141,theory(equality)]) ).
cnf(203,negated_conjecture,
( incident_c(X1,sum(X2,esk11_0))
| ~ incident_c(X1,esk9_0) ),
inference(spm,[status(thm)],[32,188,theory(equality)]) ).
cnf(204,negated_conjecture,
( incident_c(X1,sum(X2,esk11_0))
| ~ incident_c(X1,esk10_0) ),
inference(spm,[status(thm)],[32,190,theory(equality)]) ).
cnf(205,negated_conjecture,
( part_of(X1,sum(X2,esk11_0))
| ~ incident_c(esk3_2(sum(X2,esk11_0),X1),esk9_0) ),
inference(spm,[status(thm)],[30,203,theory(equality)]) ).
cnf(212,negated_conjecture,
( part_of(X1,sum(X2,esk11_0))
| ~ incident_c(esk3_2(sum(X2,esk11_0),X1),esk10_0) ),
inference(spm,[status(thm)],[30,204,theory(equality)]) ).
cnf(510,plain,
( sum(X3,X3) = X3
| incident_c(esk6_3(X3,X3,X3),X3) ),
inference(ef,[status(thm)],[112,theory(equality)]) ).
cnf(534,plain,
( sum(X1,X1) = X1
| ~ incident_c(esk6_3(X1,X1,X1),X1) ),
inference(spm,[status(thm)],[50,510,theory(equality)]) ).
cnf(592,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[534,510]) ).
cnf(608,negated_conjecture,
( part_of(X1,esk11_0)
| ~ incident_c(esk3_2(esk11_0,X1),esk9_0) ),
inference(spm,[status(thm)],[205,592,theory(equality)]) ).
cnf(612,negated_conjecture,
( part_of(X1,esk11_0)
| ~ incident_c(esk3_2(esk11_0,X1),esk10_0) ),
inference(spm,[status(thm)],[212,592,theory(equality)]) ).
cnf(680,negated_conjecture,
( part_of(sum(esk9_0,X1),esk11_0)
| incident_c(esk3_2(esk11_0,sum(esk9_0,X1)),X1) ),
inference(spm,[status(thm)],[608,176,theory(equality)]) ).
cnf(697,negated_conjecture,
part_of(sum(esk9_0,esk10_0),esk11_0),
inference(spm,[status(thm)],[612,680,theory(equality)]) ).
cnf(704,negated_conjecture,
$false,
inference(sr,[status(thm)],[697,83,theory(equality)]) ).
cnf(705,negated_conjecture,
$false,
704,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO084+1.p
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmpktOb6T/sel_GEO084+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO084+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO084+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO084+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
%
%------------------------------------------------------------------------------