TSTP Solution File: SEU387+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU387+2 : TPTP v5.0.0. Released v3.3.0.
% 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 08:08:54 EST 2010
% Result : Theorem 22.90s
% Output : CNFRefutation 22.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 39 unt; 0 def)
% Number of atoms : 391 ( 15 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 487 ( 175 ~; 198 |; 101 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-1 aty)
% Number of variables : 74 ( 15 sgn 41 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(118,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t8_waybel_7) ).
fof(203,axiom,
! [X1] : boole_POSet(X1) = poset_of_lattice(boole_lattice(X1)),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',d2_yellow_1) ).
fof(231,axiom,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1)) ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',fc9_waybel_1) ).
fof(233,axiom,
! [X1] : bottom_of_relstr(boole_POSet(X1)) = empty_set,
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t18_yellow_1) ).
fof(456,axiom,
! [X1] : the_carrier(boole_POSet(X1)) = powerset(X1),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t4_waybel_7) ).
fof(493,axiom,
! [X1] :
( strict_rel_str(boole_POSet(X1))
& rel_str(boole_POSet(X1)) ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',dt_k3_yellow_1) ).
fof(754,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t7_boole) ).
fof(759,conjecture,
! [X1] :
( ~ empty(X1)
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ! [X3] :
~ ( in(X3,X2)
& empty(X3) ) ) ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t2_yellow19) ).
fof(810,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/tmp/tmpwIHhuV/sel_SEU387+2.p_1',t6_boole) ).
fof(861,negated_conjecture,
~ ! [X1] :
( ~ empty(X1)
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ! [X3] :
~ ( in(X3,X2)
& empty(X3) ) ) ),
inference(assume_negation,[status(cth)],[759]) ).
fof(895,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& transitive_relstr(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,X1)
& upper_relstr_subset(X2,X1)
& element(X2,powerset(the_carrier(X1))) )
=> ( proper_element(X2,powerset(the_carrier(X1)))
<=> ~ in(bottom_of_relstr(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[118,theory(equality)]) ).
fof(937,plain,
! [X1] :
( ~ empty_carrier(boole_POSet(X1))
& strict_rel_str(boole_POSet(X1))
& reflexive_relstr(boole_POSet(X1))
& transitive_relstr(boole_POSet(X1))
& antisymmetric_relstr(boole_POSet(X1))
& with_suprema_relstr(boole_POSet(X1))
& with_infima_relstr(boole_POSet(X1))
& complete_relstr(boole_POSet(X1))
& lower_bounded_relstr(boole_POSet(X1))
& upper_bounded_relstr(boole_POSet(X1))
& bounded_relstr(boole_POSet(X1))
& up_complete_relstr(boole_POSet(X1))
& join_complete_relstr(boole_POSet(X1))
& distributive_relstr(boole_POSet(X1))
& complemented_relstr(boole_POSet(X1)) ),
inference(fof_simplification,[status(thm)],[231,theory(equality)]) ).
fof(1094,negated_conjecture,
~ ! [X1] :
( ~ empty(X1)
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ! [X3] :
~ ( in(X3,X2)
& empty(X3) ) ) ),
inference(fof_simplification,[status(thm)],[861,theory(equality)]) ).
fof(2190,plain,
! [X1] :
( empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ! [X2] :
( empty(X2)
| ~ filtered_subset(X2,X1)
| ~ upper_relstr_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ( ( ~ proper_element(X2,powerset(the_carrier(X1)))
| ~ in(bottom_of_relstr(X1),X2) )
& ( in(bottom_of_relstr(X1),X2)
| proper_element(X2,powerset(the_carrier(X1))) ) ) ) ),
inference(fof_nnf,[status(thm)],[895]) ).
fof(2191,plain,
! [X3] :
( empty_carrier(X3)
| ~ reflexive_relstr(X3)
| ~ transitive_relstr(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3)
| ! [X4] :
( empty(X4)
| ~ filtered_subset(X4,X3)
| ~ upper_relstr_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ( ( ~ proper_element(X4,powerset(the_carrier(X3)))
| ~ in(bottom_of_relstr(X3),X4) )
& ( in(bottom_of_relstr(X3),X4)
| proper_element(X4,powerset(the_carrier(X3))) ) ) ) ),
inference(variable_rename,[status(thm)],[2190]) ).
fof(2192,plain,
! [X3,X4] :
( empty(X4)
| ~ filtered_subset(X4,X3)
| ~ upper_relstr_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| ( ( ~ proper_element(X4,powerset(the_carrier(X3)))
| ~ in(bottom_of_relstr(X3),X4) )
& ( in(bottom_of_relstr(X3),X4)
| proper_element(X4,powerset(the_carrier(X3))) ) )
| empty_carrier(X3)
| ~ reflexive_relstr(X3)
| ~ transitive_relstr(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[2191]) ).
fof(2193,plain,
! [X3,X4] :
( ( ~ proper_element(X4,powerset(the_carrier(X3)))
| ~ in(bottom_of_relstr(X3),X4)
| empty(X4)
| ~ filtered_subset(X4,X3)
| ~ upper_relstr_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| empty_carrier(X3)
| ~ reflexive_relstr(X3)
| ~ transitive_relstr(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) )
& ( in(bottom_of_relstr(X3),X4)
| proper_element(X4,powerset(the_carrier(X3)))
| empty(X4)
| ~ filtered_subset(X4,X3)
| ~ upper_relstr_subset(X4,X3)
| ~ element(X4,powerset(the_carrier(X3)))
| empty_carrier(X3)
| ~ reflexive_relstr(X3)
| ~ transitive_relstr(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[2192]) ).
cnf(2195,plain,
( empty_carrier(X1)
| empty(X2)
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ transitive_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ upper_relstr_subset(X2,X1)
| ~ filtered_subset(X2,X1)
| ~ in(bottom_of_relstr(X1),X2)
| ~ proper_element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[2193]) ).
fof(2843,plain,
! [X2] : boole_POSet(X2) = poset_of_lattice(boole_lattice(X2)),
inference(variable_rename,[status(thm)],[203]) ).
cnf(2844,plain,
boole_POSet(X1) = poset_of_lattice(boole_lattice(X1)),
inference(split_conjunct,[status(thm)],[2843]) ).
fof(3114,plain,
! [X2] :
( ~ empty_carrier(boole_POSet(X2))
& strict_rel_str(boole_POSet(X2))
& reflexive_relstr(boole_POSet(X2))
& transitive_relstr(boole_POSet(X2))
& antisymmetric_relstr(boole_POSet(X2))
& with_suprema_relstr(boole_POSet(X2))
& with_infima_relstr(boole_POSet(X2))
& complete_relstr(boole_POSet(X2))
& lower_bounded_relstr(boole_POSet(X2))
& upper_bounded_relstr(boole_POSet(X2))
& bounded_relstr(boole_POSet(X2))
& up_complete_relstr(boole_POSet(X2))
& join_complete_relstr(boole_POSet(X2))
& distributive_relstr(boole_POSet(X2))
& complemented_relstr(boole_POSet(X2)) ),
inference(variable_rename,[status(thm)],[937]) ).
cnf(3121,plain,
lower_bounded_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[3114]) ).
cnf(3125,plain,
antisymmetric_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[3114]) ).
cnf(3126,plain,
transitive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[3114]) ).
cnf(3127,plain,
reflexive_relstr(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[3114]) ).
cnf(3129,plain,
~ empty_carrier(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[3114]) ).
fof(3133,plain,
! [X2] : bottom_of_relstr(boole_POSet(X2)) = empty_set,
inference(variable_rename,[status(thm)],[233]) ).
cnf(3134,plain,
bottom_of_relstr(boole_POSet(X1)) = empty_set,
inference(split_conjunct,[status(thm)],[3133]) ).
fof(4557,plain,
! [X2] : the_carrier(boole_POSet(X2)) = powerset(X2),
inference(variable_rename,[status(thm)],[456]) ).
cnf(4558,plain,
the_carrier(boole_POSet(X1)) = powerset(X1),
inference(split_conjunct,[status(thm)],[4557]) ).
fof(4790,plain,
! [X2] :
( strict_rel_str(boole_POSet(X2))
& rel_str(boole_POSet(X2)) ),
inference(variable_rename,[status(thm)],[493]) ).
cnf(4791,plain,
rel_str(boole_POSet(X1)),
inference(split_conjunct,[status(thm)],[4790]) ).
fof(6677,plain,
! [X1,X2] :
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[754]) ).
fof(6678,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[6677]) ).
cnf(6679,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[6678]) ).
fof(6693,negated_conjecture,
? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& ? [X3] :
( in(X3,X2)
& empty(X3) ) ) ),
inference(fof_nnf,[status(thm)],[1094]) ).
fof(6694,negated_conjecture,
? [X4] :
( ~ empty(X4)
& ? [X5] :
( ~ empty(X5)
& filtered_subset(X5,boole_POSet(X4))
& upper_relstr_subset(X5,boole_POSet(X4))
& proper_element(X5,powerset(the_carrier(boole_POSet(X4))))
& element(X5,powerset(the_carrier(boole_POSet(X4))))
& ? [X6] :
( in(X6,X5)
& empty(X6) ) ) ),
inference(variable_rename,[status(thm)],[6693]) ).
fof(6695,negated_conjecture,
( ~ empty(esk507_0)
& ~ empty(esk508_0)
& filtered_subset(esk508_0,boole_POSet(esk507_0))
& upper_relstr_subset(esk508_0,boole_POSet(esk507_0))
& proper_element(esk508_0,powerset(the_carrier(boole_POSet(esk507_0))))
& element(esk508_0,powerset(the_carrier(boole_POSet(esk507_0))))
& in(esk509_0,esk508_0)
& empty(esk509_0) ),
inference(skolemize,[status(esa)],[6694]) ).
cnf(6696,negated_conjecture,
empty(esk509_0),
inference(split_conjunct,[status(thm)],[6695]) ).
cnf(6697,negated_conjecture,
in(esk509_0,esk508_0),
inference(split_conjunct,[status(thm)],[6695]) ).
cnf(6698,negated_conjecture,
element(esk508_0,powerset(the_carrier(boole_POSet(esk507_0)))),
inference(split_conjunct,[status(thm)],[6695]) ).
cnf(6699,negated_conjecture,
proper_element(esk508_0,powerset(the_carrier(boole_POSet(esk507_0)))),
inference(split_conjunct,[status(thm)],[6695]) ).
cnf(6700,negated_conjecture,
upper_relstr_subset(esk508_0,boole_POSet(esk507_0)),
inference(split_conjunct,[status(thm)],[6695]) ).
cnf(6701,negated_conjecture,
filtered_subset(esk508_0,boole_POSet(esk507_0)),
inference(split_conjunct,[status(thm)],[6695]) ).
fof(6991,plain,
! [X1] :
( ~ empty(X1)
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[810]) ).
fof(6992,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[6991]) ).
cnf(6993,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[6992]) ).
cnf(7577,negated_conjecture,
element(esk508_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk507_0))))),
inference(rw,[status(thm)],[6698,4558,theory(equality)]),
[unfolding] ).
cnf(7578,negated_conjecture,
proper_element(esk508_0,the_carrier(boole_POSet(the_carrier(boole_POSet(esk507_0))))),
inference(rw,[status(thm)],[6699,4558,theory(equality)]),
[unfolding] ).
cnf(8546,plain,
( empty_carrier(X1)
| empty(X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ transitive_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ filtered_subset(X2,X1)
| ~ upper_relstr_subset(X2,X1)
| ~ in(bottom_of_relstr(X1),X2)
| ~ element(X2,the_carrier(boole_POSet(the_carrier(X1))))
| ~ proper_element(X2,the_carrier(boole_POSet(the_carrier(X1)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2195,4558,theory(equality)]),4558,theory(equality)]),
[unfolding] ).
cnf(8595,plain,
bottom_of_relstr(poset_of_lattice(boole_lattice(X1))) = empty_set,
inference(rw,[status(thm)],[3134,2844,theory(equality)]),
[unfolding] ).
cnf(8596,plain,
rel_str(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[4791,2844,theory(equality)]),
[unfolding] ).
cnf(8597,plain,
antisymmetric_relstr(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[3125,2844,theory(equality)]),
[unfolding] ).
cnf(8603,plain,
transitive_relstr(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[3126,2844,theory(equality)]),
[unfolding] ).
cnf(8610,plain,
lower_bounded_relstr(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[3121,2844,theory(equality)]),
[unfolding] ).
cnf(8632,plain,
reflexive_relstr(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[3127,2844,theory(equality)]),
[unfolding] ).
cnf(8673,negated_conjecture,
filtered_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0))),
inference(rw,[status(thm)],[6701,2844,theory(equality)]),
[unfolding] ).
cnf(8674,negated_conjecture,
upper_relstr_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0))),
inference(rw,[status(thm)],[6700,2844,theory(equality)]),
[unfolding] ).
cnf(8681,negated_conjecture,
element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7577,2844,theory(equality)]),2844,theory(equality)]),
[unfolding] ).
cnf(8682,negated_conjecture,
proper_element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7578,2844,theory(equality)]),2844,theory(equality)]),
[unfolding] ).
cnf(9671,plain,
( empty_carrier(X1)
| empty(X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ transitive_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ reflexive_relstr(X1)
| ~ filtered_subset(X2,X1)
| ~ upper_relstr_subset(X2,X1)
| ~ in(bottom_of_relstr(X1),X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(the_carrier(X1)))))
| ~ proper_element(X2,the_carrier(poset_of_lattice(boole_lattice(the_carrier(X1))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8546,2844,theory(equality)]),2844,theory(equality)]),
[unfolding] ).
cnf(9692,plain,
~ empty_carrier(poset_of_lattice(boole_lattice(X1))),
inference(rw,[status(thm)],[3129,2844,theory(equality)]),
[unfolding] ).
cnf(10519,negated_conjecture,
empty_set = esk509_0,
inference(spm,[status(thm)],[6993,6696,theory(equality)]) ).
cnf(77306,plain,
( empty_carrier(X1)
| ~ proper_element(X2,the_carrier(poset_of_lattice(boole_lattice(the_carrier(X1)))))
| ~ upper_relstr_subset(X2,X1)
| ~ reflexive_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ filtered_subset(X2,X1)
| ~ transitive_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ~ in(bottom_of_relstr(X1),X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(the_carrier(X1))))) ),
inference(csr,[status(thm)],[9671,6679]) ).
cnf(77307,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| ~ upper_relstr_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0)))
| ~ reflexive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ lower_bounded_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ filtered_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(spm,[status(thm)],[77306,8682,theory(equality)]) ).
cnf(77321,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| ~ reflexive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ lower_bounded_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ filtered_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77307,8674,theory(equality)]) ).
cnf(77322,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| ~ lower_bounded_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ filtered_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77321,8632,theory(equality)]) ).
cnf(77323,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| ~ filtered_subset(esk508_0,poset_of_lattice(boole_lattice(esk507_0)))
| ~ transitive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77322,8610,theory(equality)]) ).
cnf(77324,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| ~ transitive_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77323,8673,theory(equality)]) ).
cnf(77325,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| $false
| ~ antisymmetric_relstr(poset_of_lattice(boole_lattice(esk507_0)))
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77324,8603,theory(equality)]) ).
cnf(77326,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ rel_str(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77325,8597,theory(equality)]) ).
cnf(77327,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ in(bottom_of_relstr(poset_of_lattice(boole_lattice(esk507_0))),esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77326,8596,theory(equality)]) ).
cnf(77328,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ in(empty_set,esk508_0)
| ~ element(esk508_0,the_carrier(poset_of_lattice(boole_lattice(the_carrier(poset_of_lattice(boole_lattice(esk507_0))))))) ),
inference(rw,[status(thm)],[77327,8595,theory(equality)]) ).
cnf(77329,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ in(empty_set,esk508_0)
| $false ),
inference(rw,[status(thm)],[77328,8681,theory(equality)]) ).
cnf(77330,negated_conjecture,
( empty_carrier(poset_of_lattice(boole_lattice(esk507_0)))
| ~ in(empty_set,esk508_0) ),
inference(cn,[status(thm)],[77329,theory(equality)]) ).
cnf(77331,negated_conjecture,
~ in(empty_set,esk508_0),
inference(sr,[status(thm)],[77330,9692,theory(equality)]) ).
cnf(238011,negated_conjecture,
in(empty_set,esk508_0),
inference(rw,[status(thm)],[6697,10519,theory(equality)]) ).
cnf(238062,negated_conjecture,
$false,
inference(sr,[status(thm)],[238011,77331,theory(equality)]) ).
cnf(238063,negated_conjecture,
$false,
238062,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU387+2.p
% --creating new selector for []
% -running prover on /tmp/tmpwIHhuV/sel_SEU387+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU387+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU387+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU387+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
%
%------------------------------------------------------------------------------