TSTP Solution File: SEU435+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU435+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 : Sun Dec 26 09:26:11 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 9 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 48 ( 0 sgn 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
file('/tmp/tmpRswgzu/sel_SEU435+1.p_1',t36_relset_2) ).
fof(9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
& m1_subset_1(X6,k1_zfmisc_1(X4)) )
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
file('/tmp/tmpRswgzu/sel_SEU435+1.p_1',s8_domain_1__e1_46__relset_2) ).
fof(52,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(70,negated_conjecture,
? [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
& ? [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
& ~ m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(71,negated_conjecture,
? [X7,X8,X9] :
( m1_subset_1(X9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X7,X8))))
& ? [X10,X11,X12] :
( m1_subset_1(X12,k1_zfmisc_1(X10))
& ~ m1_subset_1(a_6_0_relset_2(X7,X8,X9,X10,X11,X12),k1_zfmisc_1(k1_zfmisc_1(X11))) ) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,negated_conjecture,
( m1_subset_1(esk4_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))))
& m1_subset_1(esk7_0,k1_zfmisc_1(esk5_0))
& ~ m1_subset_1(a_6_0_relset_2(esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk6_0))) ),
inference(skolemize,[status(esa)],[71]) ).
cnf(73,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(esk2_0,esk3_0,esk4_0,esk5_0,esk6_0,esk7_0),k1_zfmisc_1(k1_zfmisc_1(esk6_0))),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(74,negated_conjecture,
m1_subset_1(esk7_0,k1_zfmisc_1(esk5_0)),
inference(split_conjunct,[status(thm)],[72]) ).
cnf(75,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))),
inference(split_conjunct,[status(thm)],[72]) ).
fof(92,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(93,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X7,X8))))
| ~ m1_subset_1(X12,k1_zfmisc_1(X10))
| m1_subset_1(a_6_0_relset_2(X7,X8,X9,X10,X11,X12),k1_zfmisc_1(k1_zfmisc_1(X11))) ),
inference(variable_rename,[status(thm)],[92]) ).
cnf(94,plain,
( m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(279,negated_conjecture,
( ~ m1_subset_1(esk4_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))))
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(esk5_0)) ),
inference(spm,[status(thm)],[73,94,theory(equality)]) ).
cnf(282,negated_conjecture,
( $false
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(esk5_0)) ),
inference(rw,[status(thm)],[279,75,theory(equality)]) ).
cnf(283,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[282,74,theory(equality)]) ).
cnf(284,negated_conjecture,
$false,
inference(cn,[status(thm)],[283,theory(equality)]) ).
cnf(285,negated_conjecture,
$false,
284,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU435+1.p
% --creating new selector for []
% -running prover on /tmp/tmpRswgzu/sel_SEU435+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU435+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU435+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU435+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
%
%------------------------------------------------------------------------------