TSTP Solution File: SEU429+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU429+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 09:15:07 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 24 ~; 15 |; 13 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(22,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/tmp/tmpidMuao/sel_SEU429+1.p_1',t28_relset_2) ).
fof(39,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/tmp/tmpidMuao/sel_SEU429+1.p_1',s8_domain_1__e1_38__relset_2) ).
fof(52,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(assume_negation,[status(cth)],[22]) ).
fof(56,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(60,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).
fof(127,negated_conjecture,
? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
& ? [X4] :
( m2_relset_1(X4,X1,X2)
& ~ m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(128,negated_conjecture,
? [X5] :
( ~ v1_xboole_0(X5)
& ? [X6,X7] :
( m1_subset_1(X7,k1_zfmisc_1(k1_zfmisc_1(X5)))
& ? [X8] :
( m2_relset_1(X8,X5,X6)
& ~ m1_subset_1(a_4_1_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ) ) ),
inference(variable_rename,[status(thm)],[127]) ).
fof(129,negated_conjecture,
( ~ v1_xboole_0(esk5_0)
& m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0)))
& m2_relset_1(esk8_0,esk5_0,esk6_0)
& ~ m1_subset_1(a_4_1_relset_2(esk5_0,esk6_0,esk7_0,esk8_0),k1_zfmisc_1(k1_zfmisc_1(esk6_0))) ),
inference(skolemize,[status(esa)],[128]) ).
cnf(130,negated_conjecture,
~ m1_subset_1(a_4_1_relset_2(esk5_0,esk6_0,esk7_0,esk8_0),k1_zfmisc_1(k1_zfmisc_1(esk6_0))),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(131,negated_conjecture,
m2_relset_1(esk8_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(132,negated_conjecture,
m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(133,negated_conjecture,
~ v1_xboole_0(esk5_0),
inference(split_conjunct,[status(thm)],[129]) ).
fof(186,plain,
! [X1,X2,X3,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X4,X1,X2)
| m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(187,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m2_relset_1(X8,X5,X6)
| m1_subset_1(a_4_1_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ),
inference(variable_rename,[status(thm)],[186]) ).
cnf(188,plain,
( m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(279,negated_conjecture,
( v1_xboole_0(esk5_0)
| ~ m2_relset_1(esk8_0,esk5_0,esk6_0)
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(spm,[status(thm)],[130,188,theory(equality)]) ).
cnf(282,negated_conjecture,
( v1_xboole_0(esk5_0)
| $false
| ~ m1_subset_1(esk7_0,k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(rw,[status(thm)],[279,131,theory(equality)]) ).
cnf(283,negated_conjecture,
( v1_xboole_0(esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[282,132,theory(equality)]) ).
cnf(284,negated_conjecture,
v1_xboole_0(esk5_0),
inference(cn,[status(thm)],[283,theory(equality)]) ).
cnf(285,negated_conjecture,
$false,
inference(sr,[status(thm)],[284,133,theory(equality)]) ).
cnf(286,negated_conjecture,
$false,
285,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU429+1.p
% --creating new selector for []
% -running prover on /tmp/tmpidMuao/sel_SEU429+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU429+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU429+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU429+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
%
%------------------------------------------------------------------------------