TSTP Solution File: GEO081+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO081+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 08:04:09 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 72 ( 26 ~; 24 |; 18 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 24 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X2,X3] :
( part_of(X3,X2)
<=> ! [X1] :
( incident_c(X1,X3)
=> incident_c(X1,X2) ) ),
file('/tmp/tmpR9F8wT/sel_GEO081+1.p_1',part_of_defn) ).
fof(7,conjecture,
! [X3,X4,X5] :
( ( part_of(X3,X4)
& part_of(X4,X5) )
=> part_of(X3,X5) ),
file('/tmp/tmpR9F8wT/sel_GEO081+1.p_1',part_of_transitivity) ).
fof(8,negated_conjecture,
~ ! [X3,X4,X5] :
( ( part_of(X3,X4)
& part_of(X4,X5) )
=> part_of(X3,X5) ),
inference(assume_negation,[status(cth)],[7]) ).
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,
? [X3,X4,X5] :
( part_of(X3,X4)
& part_of(X4,X5)
& ~ part_of(X3,X5) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(50,negated_conjecture,
? [X6,X7,X8] :
( part_of(X6,X7)
& part_of(X7,X8)
& ~ part_of(X6,X8) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,negated_conjecture,
( part_of(esk6_0,esk7_0)
& part_of(esk7_0,esk8_0)
& ~ part_of(esk6_0,esk8_0) ),
inference(skolemize,[status(esa)],[50]) ).
cnf(52,negated_conjecture,
~ part_of(esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
part_of(esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,negated_conjecture,
part_of(esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(56,negated_conjecture,
( incident_c(X1,esk7_0)
| ~ incident_c(X1,esk6_0) ),
inference(spm,[status(thm)],[29,54,theory(equality)]) ).
cnf(57,negated_conjecture,
( incident_c(X1,esk8_0)
| ~ incident_c(X1,esk7_0) ),
inference(spm,[status(thm)],[29,53,theory(equality)]) ).
cnf(72,negated_conjecture,
( incident_c(esk3_2(X1,esk6_0),esk7_0)
| part_of(esk6_0,X1) ),
inference(spm,[status(thm)],[56,28,theory(equality)]) ).
cnf(78,negated_conjecture,
( part_of(X1,esk8_0)
| ~ incident_c(esk3_2(esk8_0,X1),esk7_0) ),
inference(spm,[status(thm)],[27,57,theory(equality)]) ).
cnf(82,negated_conjecture,
part_of(esk6_0,esk8_0),
inference(spm,[status(thm)],[78,72,theory(equality)]) ).
cnf(84,negated_conjecture,
$false,
inference(sr,[status(thm)],[82,52,theory(equality)]) ).
cnf(85,negated_conjecture,
$false,
84,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO081+1.p
% --creating new selector for [GEO004+0.ax]
% -running prover on /tmp/tmpR9F8wT/sel_GEO081+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO081+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO081+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO081+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
%
%------------------------------------------------------------------------------