TSTP Solution File: GEO088+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO088+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 08:04:41 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 59 ( 8 unt; 0 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 349 ( 123 ~; 158 |; 62 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( end_point(X1,X2)
<=> ( incident_c(X1,X2)
& ! [X3,X4] :
( ( part_of(X3,X2)
& part_of(X4,X2)
& incident_c(X1,X3)
& incident_c(X1,X4) )
=> ( part_of(X3,X4)
| part_of(X4,X3) ) ) ) ),
file('/tmp/tmp5b_1tn/sel_GEO088+1.p_1',end_point_defn) ).
fof(2,axiom,
! [X2,X3] :
( part_of(X3,X2)
<=> ! [X1] :
( incident_c(X1,X3)
=> incident_c(X1,X2) ) ),
file('/tmp/tmp5b_1tn/sel_GEO088+1.p_1',part_of_defn) ).
fof(7,conjecture,
! [X2,X8,X1] :
( ( part_of(X8,X2)
& end_point(X1,X2)
& incident_c(X1,X8) )
=> end_point(X1,X8) ),
file('/tmp/tmp5b_1tn/sel_GEO088+1.p_1',theorem_2_10) ).
fof(8,negated_conjecture,
~ ! [X2,X8,X1] :
( ( part_of(X8,X2)
& end_point(X1,X2)
& incident_c(X1,X8) )
=> end_point(X1,X8) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(9,plain,
! [X1,X2] :
( ( ~ end_point(X1,X2)
| ( incident_c(X1,X2)
& ! [X3,X4] :
( ~ part_of(X3,X2)
| ~ part_of(X4,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| part_of(X3,X4)
| part_of(X4,X3) ) ) )
& ( ~ incident_c(X1,X2)
| ? [X3,X4] :
( part_of(X3,X2)
& part_of(X4,X2)
& incident_c(X1,X3)
& incident_c(X1,X4)
& ~ part_of(X3,X4)
& ~ part_of(X4,X3) )
| end_point(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(10,plain,
! [X5,X6] :
( ( ~ end_point(X5,X6)
| ( incident_c(X5,X6)
& ! [X7,X8] :
( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7) ) ) )
& ( ~ incident_c(X5,X6)
| ? [X9,X10] :
( part_of(X9,X6)
& part_of(X10,X6)
& incident_c(X5,X9)
& incident_c(X5,X10)
& ~ part_of(X9,X10)
& ~ part_of(X10,X9) )
| end_point(X5,X6) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(11,plain,
! [X5,X6] :
( ( ~ end_point(X5,X6)
| ( incident_c(X5,X6)
& ! [X7,X8] :
( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7) ) ) )
& ( ~ incident_c(X5,X6)
| ( part_of(esk1_2(X5,X6),X6)
& part_of(esk2_2(X5,X6),X6)
& incident_c(X5,esk1_2(X5,X6))
& incident_c(X5,esk2_2(X5,X6))
& ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
& ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6)) )
| end_point(X5,X6) ) ),
inference(skolemize,[status(esa)],[10]) ).
fof(12,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7) )
& incident_c(X5,X6) )
| ~ end_point(X5,X6) )
& ( ~ incident_c(X5,X6)
| ( part_of(esk1_2(X5,X6),X6)
& part_of(esk2_2(X5,X6),X6)
& incident_c(X5,esk1_2(X5,X6))
& incident_c(X5,esk2_2(X5,X6))
& ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
& ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6)) )
| end_point(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[11]) ).
fof(13,plain,
! [X5,X6,X7,X8] :
( ( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7)
| ~ end_point(X5,X6) )
& ( incident_c(X5,X6)
| ~ end_point(X5,X6) )
& ( part_of(esk1_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( part_of(esk2_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( incident_c(X5,esk1_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( incident_c(X5,esk2_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( ~ part_of(esk1_2(X5,X6),esk2_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( ~ part_of(esk2_2(X5,X6),esk1_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk2_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(16,plain,
( end_point(X1,X2)
| incident_c(X1,esk2_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(17,plain,
( end_point(X1,X2)
| incident_c(X1,esk1_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(18,plain,
( end_point(X1,X2)
| part_of(esk2_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(19,plain,
( end_point(X1,X2)
| part_of(esk1_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(21,plain,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(22,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(23,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)],[22]) ).
fof(24,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)],[23]) ).
fof(25,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)],[24]) ).
fof(26,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)],[25]) ).
cnf(27,plain,
( part_of(X1,X2)
| ~ incident_c(esk3_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( part_of(X1,X2)
| incident_c(esk3_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(49,negated_conjecture,
? [X2,X8,X1] :
( part_of(X8,X2)
& end_point(X1,X2)
& incident_c(X1,X8)
& ~ end_point(X1,X8) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(50,negated_conjecture,
? [X9,X10,X11] :
( part_of(X10,X9)
& end_point(X11,X9)
& incident_c(X11,X10)
& ~ end_point(X11,X10) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,negated_conjecture,
( part_of(esk7_0,esk6_0)
& end_point(esk8_0,esk6_0)
& incident_c(esk8_0,esk7_0)
& ~ end_point(esk8_0,esk7_0) ),
inference(skolemize,[status(esa)],[50]) ).
cnf(52,negated_conjecture,
~ end_point(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
incident_c(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,negated_conjecture,
end_point(esk8_0,esk6_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(55,negated_conjecture,
part_of(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(57,negated_conjecture,
( incident_c(X1,esk6_0)
| ~ incident_c(X1,esk7_0) ),
inference(spm,[status(thm)],[29,55,theory(equality)]) ).
cnf(60,plain,
( incident_c(X1,X2)
| end_point(X3,X2)
| ~ incident_c(X1,esk1_2(X3,X2))
| ~ incident_c(X3,X2) ),
inference(spm,[status(thm)],[29,19,theory(equality)]) ).
cnf(61,plain,
( incident_c(X1,X2)
| end_point(X3,X2)
| ~ incident_c(X1,esk2_2(X3,X2))
| ~ incident_c(X3,X2) ),
inference(spm,[status(thm)],[29,18,theory(equality)]) ).
cnf(69,plain,
( part_of(X1,esk1_2(X2,X3))
| part_of(esk1_2(X2,X3),X1)
| end_point(X2,X3)
| ~ part_of(esk1_2(X2,X3),X4)
| ~ part_of(X1,X4)
| ~ incident_c(X2,X1)
| ~ end_point(X2,X4)
| ~ incident_c(X2,X3) ),
inference(spm,[status(thm)],[21,17,theory(equality)]) ).
cnf(77,negated_conjecture,
( part_of(X1,esk6_0)
| ~ incident_c(esk3_2(esk6_0,X1),esk7_0) ),
inference(spm,[status(thm)],[27,57,theory(equality)]) ).
cnf(83,plain,
( incident_c(esk3_2(X1,esk1_2(X2,X3)),X3)
| end_point(X2,X3)
| part_of(esk1_2(X2,X3),X1)
| ~ incident_c(X2,X3) ),
inference(spm,[status(thm)],[60,28,theory(equality)]) ).
cnf(89,plain,
( incident_c(esk3_2(X1,esk2_2(X2,X3)),X3)
| end_point(X2,X3)
| part_of(esk2_2(X2,X3),X1)
| ~ incident_c(X2,X3) ),
inference(spm,[status(thm)],[61,28,theory(equality)]) ).
cnf(133,negated_conjecture,
( part_of(esk1_2(X1,esk7_0),esk6_0)
| end_point(X1,esk7_0)
| ~ incident_c(X1,esk7_0) ),
inference(spm,[status(thm)],[77,83,theory(equality)]) ).
cnf(165,negated_conjecture,
( part_of(esk2_2(X1,esk7_0),esk6_0)
| end_point(X1,esk7_0)
| ~ incident_c(X1,esk7_0) ),
inference(spm,[status(thm)],[77,89,theory(equality)]) ).
cnf(191,negated_conjecture,
( part_of(esk1_2(X1,esk7_0),X2)
| part_of(X2,esk1_2(X1,esk7_0))
| end_point(X1,esk7_0)
| ~ part_of(X2,esk6_0)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,esk7_0)
| ~ end_point(X1,esk6_0) ),
inference(spm,[status(thm)],[69,133,theory(equality)]) ).
cnf(275,negated_conjecture,
( part_of(X1,esk1_2(esk8_0,esk7_0))
| part_of(esk1_2(esk8_0,esk7_0),X1)
| end_point(esk8_0,esk7_0)
| ~ part_of(X1,esk6_0)
| ~ incident_c(esk8_0,X1)
| ~ end_point(esk8_0,esk6_0) ),
inference(spm,[status(thm)],[191,53,theory(equality)]) ).
cnf(284,negated_conjecture,
( part_of(X1,esk1_2(esk8_0,esk7_0))
| part_of(esk1_2(esk8_0,esk7_0),X1)
| end_point(esk8_0,esk7_0)
| ~ part_of(X1,esk6_0)
| ~ incident_c(esk8_0,X1)
| $false ),
inference(rw,[status(thm)],[275,54,theory(equality)]) ).
cnf(285,negated_conjecture,
( part_of(X1,esk1_2(esk8_0,esk7_0))
| part_of(esk1_2(esk8_0,esk7_0),X1)
| end_point(esk8_0,esk7_0)
| ~ part_of(X1,esk6_0)
| ~ incident_c(esk8_0,X1) ),
inference(cn,[status(thm)],[284,theory(equality)]) ).
cnf(286,negated_conjecture,
( part_of(X1,esk1_2(esk8_0,esk7_0))
| part_of(esk1_2(esk8_0,esk7_0),X1)
| ~ part_of(X1,esk6_0)
| ~ incident_c(esk8_0,X1) ),
inference(sr,[status(thm)],[285,52,theory(equality)]) ).
cnf(290,negated_conjecture,
( part_of(esk1_2(esk8_0,esk7_0),esk2_2(esk8_0,X1))
| part_of(esk2_2(esk8_0,X1),esk1_2(esk8_0,esk7_0))
| end_point(esk8_0,X1)
| ~ part_of(esk2_2(esk8_0,X1),esk6_0)
| ~ incident_c(esk8_0,X1) ),
inference(spm,[status(thm)],[286,16,theory(equality)]) ).
cnf(391,negated_conjecture,
( end_point(esk8_0,esk7_0)
| part_of(esk1_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ incident_c(esk8_0,esk7_0)
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[14,290,theory(equality)]) ).
cnf(393,negated_conjecture,
( end_point(esk8_0,esk7_0)
| part_of(esk1_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| $false
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(rw,[status(thm)],[391,53,theory(equality)]) ).
cnf(394,negated_conjecture,
( end_point(esk8_0,esk7_0)
| part_of(esk1_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(cn,[status(thm)],[393,theory(equality)]) ).
cnf(395,negated_conjecture,
( part_of(esk1_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(sr,[status(thm)],[394,52,theory(equality)]) ).
cnf(397,negated_conjecture,
( end_point(esk8_0,esk7_0)
| ~ incident_c(esk8_0,esk7_0)
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[15,395,theory(equality)]) ).
cnf(399,negated_conjecture,
( end_point(esk8_0,esk7_0)
| $false
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(rw,[status(thm)],[397,53,theory(equality)]) ).
cnf(400,negated_conjecture,
( end_point(esk8_0,esk7_0)
| ~ part_of(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(cn,[status(thm)],[399,theory(equality)]) ).
cnf(401,negated_conjecture,
~ part_of(esk2_2(esk8_0,esk7_0),esk6_0),
inference(sr,[status(thm)],[400,52,theory(equality)]) ).
cnf(405,negated_conjecture,
( end_point(esk8_0,esk7_0)
| ~ incident_c(esk8_0,esk7_0) ),
inference(spm,[status(thm)],[401,165,theory(equality)]) ).
cnf(406,negated_conjecture,
( end_point(esk8_0,esk7_0)
| $false ),
inference(rw,[status(thm)],[405,53,theory(equality)]) ).
cnf(407,negated_conjecture,
end_point(esk8_0,esk7_0),
inference(cn,[status(thm)],[406,theory(equality)]) ).
cnf(408,negated_conjecture,
$false,
inference(sr,[status(thm)],[407,52,theory(equality)]) ).
cnf(409,negated_conjecture,
$false,
408,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO088+1.p
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmp5b_1tn/sel_GEO088+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO088+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO088+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO088+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
%
%------------------------------------------------------------------------------