%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU308+1 : 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 07:05:22 EST 2010
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 81 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 34 ~; 25 |; 9 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 46 ( 2 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> subset_difference(X1,X2,X3) = set_difference(X2,X3) ),
file('/tmp/tmp2BzgKF/sel_SEU308+1.p_1',redefinition_k6_subset_1) ).
fof(16,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/tmp2BzgKF/sel_SEU308+1.p_1',t17_pre_topc) ).
fof(23,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/tmp/tmp2BzgKF/sel_SEU308+1.p_1',t3_subset) ).
fof(29,axiom,
! [X1,X2] : subset(X1,X1),
file('/tmp/tmp2BzgKF/sel_SEU308+1.p_1',reflexivity_r1_tarski) ).
fof(35,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/tmp/tmp2BzgKF/sel_SEU308+1.p_1',d5_subset_1) ).
fof(49,axiom,
! [X1] :
( one_sorted_str(X1)
=> cast_as_carrier_subset(X1) = the_carrier(X1) ),
file('/tmp/tmp2BzgKF/sel_SEU308+1.p_1',d3_pre_topc) ).
fof(54,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)],[16]) ).
fof(69,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)],[5]) ).
fof(70,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)],[69]) ).
cnf(71,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[70]) ).
fof(108,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)],[54]) ).
fof(109,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)],[108]) ).
fof(110,negated_conjecture,
( one_sorted_str(esk1_0)
& element(esk2_0,powerset(the_carrier(esk1_0)))
& subset_complement(the_carrier(esk1_0),esk2_0) != subset_difference(the_carrier(esk1_0),cast_as_carrier_subset(esk1_0),esk2_0) ),
inference(skolemize,[status(esa)],[109]) ).
cnf(111,negated_conjecture,
subset_complement(the_carrier(esk1_0),esk2_0) != subset_difference(the_carrier(esk1_0),cast_as_carrier_subset(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(112,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(113,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[110]) ).
fof(139,plain,
! [X1,X2] :
( ( ~ element(X1,powerset(X2))
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| element(X1,powerset(X2)) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(140,plain,
! [X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(variable_rename,[status(thm)],[139]) ).
cnf(141,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(160,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[29]) ).
cnf(161,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[160]) ).
fof(191,plain,
! [X1,X2] :
( ~ element(X2,powerset(X1))
| subset_complement(X1,X2) = set_difference(X1,X2) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(192,plain,
! [X3,X4] :
( ~ element(X4,powerset(X3))
| subset_complement(X3,X4) = set_difference(X3,X4) ),
inference(variable_rename,[status(thm)],[191]) ).
cnf(193,plain,
( subset_complement(X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[192]) ).
fof(248,plain,
! [X1] :
( ~ one_sorted_str(X1)
| cast_as_carrier_subset(X1) = the_carrier(X1) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(249,plain,
! [X2] :
( ~ one_sorted_str(X2)
| cast_as_carrier_subset(X2) = the_carrier(X2) ),
inference(variable_rename,[status(thm)],[248]) ).
cnf(250,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[249]) ).
cnf(291,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[141,161,theory(equality)]) ).
cnf(558,negated_conjecture,
( subset_difference(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0)
| ~ one_sorted_str(esk1_0) ),
inference(spm,[status(thm)],[111,250,theory(equality)]) ).
cnf(559,negated_conjecture,
( subset_difference(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[558,113,theory(equality)]) ).
cnf(560,negated_conjecture,
subset_difference(the_carrier(esk1_0),the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0),
inference(cn,[status(thm)],[559,theory(equality)]) ).
cnf(644,negated_conjecture,
( set_difference(the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0)
| ~ element(esk2_0,powerset(the_carrier(esk1_0)))
| ~ element(the_carrier(esk1_0),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[560,71,theory(equality)]) ).
cnf(645,negated_conjecture,
( set_difference(the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0)
| $false
| ~ element(the_carrier(esk1_0),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[644,112,theory(equality)]) ).
cnf(646,negated_conjecture,
( set_difference(the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0)
| $false
| $false ),
inference(rw,[status(thm)],[645,291,theory(equality)]) ).
cnf(647,negated_conjecture,
set_difference(the_carrier(esk1_0),esk2_0) != subset_complement(the_carrier(esk1_0),esk2_0),
inference(cn,[status(thm)],[646,theory(equality)]) ).
cnf(698,negated_conjecture,
~ element(esk2_0,powerset(the_carrier(esk1_0))),
inference(spm,[status(thm)],[647,193,theory(equality)]) ).
cnf(699,negated_conjecture,
$false,
inference(rw,[status(thm)],[698,112,theory(equality)]) ).
cnf(700,negated_conjecture,
$false,
inference(cn,[status(thm)],[699,theory(equality)]) ).
cnf(701,negated_conjecture,
$false,
700,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU308+1.p
% --creating new selector for []
% -running prover on /tmp/tmp2BzgKF/sel_SEU308+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU308+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU308+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU308+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
%
%------------------------------------------------------------------------------