%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU308+2 : TPTP v5.0.0. Released v3.3.0.
% 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 : Sun Dec 26 07:05:39 EST 2010
% Result : Theorem 15.28s
% Output : CNFRefutation 15.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 72 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 20 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(234,axiom,
! [X1] : element(cast_to_subset(X1),powerset(X1)),
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',dt_k2_subset_1) ).
fof(260,axiom,
! [X1] : cast_to_subset(X1) = X1,
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',d4_subset_1) ).
fof(290,axiom,
! [X1] :
( one_sorted_str(X1)
=> cast_as_carrier_subset(X1) = the_carrier(X1) ),
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',d3_pre_topc) ).
fof(334,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset_complement(the_carrier(X1),X2) = subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) ) ),
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',t17_pre_topc) ).
fof(358,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> subset_difference(X1,X2,X3) = set_difference(X2,X3) ),
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',redefinition_k6_subset_1) ).
fof(460,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/tmp/tmp0hewmu/sel_SEU308+2.p_1',d5_subset_1) ).
fof(496,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset_complement(the_carrier(X1),X2) = subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) ) ),
inference(assume_negation,[status(cth)],[334]) ).
fof(2010,plain,
! [X2] : element(cast_to_subset(X2),powerset(X2)),
inference(variable_rename,[status(thm)],[234]) ).
cnf(2011,plain,
element(cast_to_subset(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[2010]) ).
fof(2186,plain,
! [X2] : cast_to_subset(X2) = X2,
inference(variable_rename,[status(thm)],[260]) ).
cnf(2187,plain,
cast_to_subset(X1) = X1,
inference(split_conjunct,[status(thm)],[2186]) ).
fof(2352,plain,
! [X1] :
( ~ one_sorted_str(X1)
| cast_as_carrier_subset(X1) = the_carrier(X1) ),
inference(fof_nnf,[status(thm)],[290]) ).
fof(2353,plain,
! [X2] :
( ~ one_sorted_str(X2)
| cast_as_carrier_subset(X2) = the_carrier(X2) ),
inference(variable_rename,[status(thm)],[2352]) ).
cnf(2354,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[2353]) ).
fof(2618,negated_conjecture,
? [X1] :
( one_sorted_str(X1)
& ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& subset_complement(the_carrier(X1),X2) != subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) ) ),
inference(fof_nnf,[status(thm)],[496]) ).
fof(2619,negated_conjecture,
? [X3] :
( one_sorted_str(X3)
& ? [X4] :
( element(X4,powerset(the_carrier(X3)))
& subset_complement(the_carrier(X3),X4) != subset_difference(the_carrier(X3),cast_as_carrier_subset(X3),X4) ) ),
inference(variable_rename,[status(thm)],[2618]) ).
fof(2620,negated_conjecture,
( one_sorted_str(esk205_0)
& element(esk206_0,powerset(the_carrier(esk205_0)))
& subset_complement(the_carrier(esk205_0),esk206_0) != subset_difference(the_carrier(esk205_0),cast_as_carrier_subset(esk205_0),esk206_0) ),
inference(skolemize,[status(esa)],[2619]) ).
cnf(2621,negated_conjecture,
subset_complement(the_carrier(esk205_0),esk206_0) != subset_difference(the_carrier(esk205_0),cast_as_carrier_subset(esk205_0),esk206_0),
inference(split_conjunct,[status(thm)],[2620]) ).
cnf(2622,negated_conjecture,
element(esk206_0,powerset(the_carrier(esk205_0))),
inference(split_conjunct,[status(thm)],[2620]) ).
cnf(2623,negated_conjecture,
one_sorted_str(esk205_0),
inference(split_conjunct,[status(thm)],[2620]) ).
fof(2761,plain,
! [X1,X2,X3] :
( ~ element(X2,powerset(X1))
| ~ element(X3,powerset(X1))
| subset_difference(X1,X2,X3) = set_difference(X2,X3) ),
inference(fof_nnf,[status(thm)],[358]) ).
fof(2762,plain,
! [X4,X5,X6] :
( ~ element(X5,powerset(X4))
| ~ element(X6,powerset(X4))
| subset_difference(X4,X5,X6) = set_difference(X5,X6) ),
inference(variable_rename,[status(thm)],[2761]) ).
cnf(2763,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[2762]) ).
fof(3519,plain,
! [X1,X2] :
( ~ element(X2,powerset(X1))
| subset_complement(X1,X2) = set_difference(X1,X2) ),
inference(fof_nnf,[status(thm)],[460]) ).
fof(3520,plain,
! [X3,X4] :
( ~ element(X4,powerset(X3))
| subset_complement(X3,X4) = set_difference(X3,X4) ),
inference(variable_rename,[status(thm)],[3519]) ).
cnf(3521,plain,
( subset_complement(X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[3520]) ).
cnf(3777,plain,
element(X1,powerset(X1)),
inference(rw,[status(thm)],[2011,2187,theory(equality)]),
[unfolding] ).
cnf(5714,negated_conjecture,
( subset_difference(the_carrier(esk205_0),the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0)
| ~ one_sorted_str(esk205_0) ),
inference(spm,[status(thm)],[2621,2354,theory(equality)]) ).
cnf(5715,negated_conjecture,
( subset_difference(the_carrier(esk205_0),the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0)
| $false ),
inference(rw,[status(thm)],[5714,2623,theory(equality)]) ).
cnf(5716,negated_conjecture,
subset_difference(the_carrier(esk205_0),the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0),
inference(cn,[status(thm)],[5715,theory(equality)]) ).
cnf(135978,negated_conjecture,
( set_difference(the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0)
| ~ element(esk206_0,powerset(the_carrier(esk205_0)))
| ~ element(the_carrier(esk205_0),powerset(the_carrier(esk205_0))) ),
inference(spm,[status(thm)],[5716,2763,theory(equality)]) ).
cnf(135983,negated_conjecture,
( set_difference(the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0)
| $false
| ~ element(the_carrier(esk205_0),powerset(the_carrier(esk205_0))) ),
inference(rw,[status(thm)],[135978,2622,theory(equality)]) ).
cnf(135984,negated_conjecture,
( set_difference(the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0)
| $false
| $false ),
inference(rw,[status(thm)],[135983,3777,theory(equality)]) ).
cnf(135985,negated_conjecture,
set_difference(the_carrier(esk205_0),esk206_0) != subset_complement(the_carrier(esk205_0),esk206_0),
inference(cn,[status(thm)],[135984,theory(equality)]) ).
cnf(135992,negated_conjecture,
~ element(esk206_0,powerset(the_carrier(esk205_0))),
inference(spm,[status(thm)],[135985,3521,theory(equality)]) ).
cnf(136002,negated_conjecture,
$false,
inference(rw,[status(thm)],[135992,2622,theory(equality)]) ).
cnf(136003,negated_conjecture,
$false,
inference(cn,[status(thm)],[136002,theory(equality)]) ).
cnf(136004,negated_conjecture,
$false,
136003,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU308+2.p
% --creating new selector for []
% -running prover on /tmp/tmp0hewmu/sel_SEU308+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU308+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU308+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU308+2.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
%
%------------------------------------------------------------------------------