TSTP Solution File: SEU383+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU383+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 08:05:38 EST 2010
% Result : Theorem 1.18s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 118 ( 19 unt; 0 def)
% Number of atoms : 496 ( 32 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 602 ( 224 ~; 246 |; 101 &)
% ( 7 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 169 ( 2 sgn 100 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t1_subset) ).
fof(9,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t44_yellow_0) ).
fof(10,axiom,
! [X1,X2] : subset(X1,X1),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',reflexivity_r1_tarski) ).
fof(13,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',fc1_struct_0) ).
fof(14,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t2_tarski) ).
fof(16,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( upper_relstr_subset(X2,X1)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( in(X3,X2)
& related(X1,X3,X4) )
=> in(X4,X2) ) ) ) ) ) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',d20_waybel_0) ).
fof(26,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',dt_l1_orders_2) ).
fof(28,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t2_subset) ).
fof(31,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> ( proper_element(X2,powerset(X1))
<=> X2 != X1 ) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t5_tex_2) ).
fof(32,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t3_subset) ).
fof(33,conjecture,
! [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/tmpJqaC71/sel_SEU383+1.p_1',t8_waybel_7) ).
fof(40,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',t4_subset) ).
fof(44,axiom,
! [X1] :
( rel_str(X1)
=> element(bottom_of_relstr(X1),the_carrier(X1)) ),
file('/tmp/tmpJqaC71/sel_SEU383+1.p_1',dt_k3_yellow_0) ).
fof(46,negated_conjecture,
~ ! [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(assume_negation,[status(cth)],[33]) ).
fof(50,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(52,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(58,negated_conjecture,
~ ! [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)],[46,theory(equality)]) ).
fof(73,plain,
! [X1,X2] :
( ~ in(X1,X2)
| element(X1,X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(74,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(89,plain,
! [X1] :
( empty_carrier(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| related(X1,bottom_of_relstr(X1),X2) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(90,plain,
! [X3] :
( empty_carrier(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3)
| ! [X4] :
( ~ element(X4,the_carrier(X3))
| related(X3,bottom_of_relstr(X3),X4) ) ),
inference(variable_rename,[status(thm)],[89]) ).
fof(91,plain,
! [X3,X4] :
( ~ element(X4,the_carrier(X3))
| related(X3,bottom_of_relstr(X3),X4)
| empty_carrier(X3)
| ~ antisymmetric_relstr(X3)
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[90]) ).
cnf(92,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[10]) ).
cnf(94,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[93]) ).
fof(103,plain,
! [X1] :
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(104,plain,
! [X2] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[103]) ).
cnf(105,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
fof(106,plain,
! [X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X2) ) )
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(107,plain,
! [X4,X5] :
( ? [X6] :
( ( ~ in(X6,X4)
| ~ in(X6,X5) )
& ( in(X6,X4)
| in(X6,X5) ) )
| X4 = X5 ),
inference(variable_rename,[status(thm)],[106]) ).
fof(108,plain,
! [X4,X5] :
( ( ( ~ in(esk4_2(X4,X5),X4)
| ~ in(esk4_2(X4,X5),X5) )
& ( in(esk4_2(X4,X5),X4)
| in(esk4_2(X4,X5),X5) ) )
| X4 = X5 ),
inference(skolemize,[status(esa)],[107]) ).
fof(109,plain,
! [X4,X5] :
( ( ~ in(esk4_2(X4,X5),X4)
| ~ in(esk4_2(X4,X5),X5)
| X4 = X5 )
& ( in(esk4_2(X4,X5),X4)
| in(esk4_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[108]) ).
cnf(110,plain,
( X1 = X2
| in(esk4_2(X1,X2),X2)
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
cnf(111,plain,
( X1 = X2
| ~ in(esk4_2(X1,X2),X2)
| ~ in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(114,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ element(X2,powerset(the_carrier(X1)))
| ( ( ~ upper_relstr_subset(X2,X1)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ in(X3,X2)
| ~ related(X1,X3,X4)
| in(X4,X2) ) ) )
& ( ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& in(X3,X2)
& related(X1,X3,X4)
& ~ in(X4,X2) ) )
| upper_relstr_subset(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(115,plain,
! [X5] :
( ~ rel_str(X5)
| ! [X6] :
( ~ element(X6,powerset(the_carrier(X5)))
| ( ( ~ upper_relstr_subset(X6,X5)
| ! [X7] :
( ~ element(X7,the_carrier(X5))
| ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ in(X7,X6)
| ~ related(X5,X7,X8)
| in(X8,X6) ) ) )
& ( ? [X9] :
( element(X9,the_carrier(X5))
& ? [X10] :
( element(X10,the_carrier(X5))
& in(X9,X6)
& related(X5,X9,X10)
& ~ in(X10,X6) ) )
| upper_relstr_subset(X6,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[114]) ).
fof(116,plain,
! [X5] :
( ~ rel_str(X5)
| ! [X6] :
( ~ element(X6,powerset(the_carrier(X5)))
| ( ( ~ upper_relstr_subset(X6,X5)
| ! [X7] :
( ~ element(X7,the_carrier(X5))
| ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ in(X7,X6)
| ~ related(X5,X7,X8)
| in(X8,X6) ) ) )
& ( ( element(esk5_2(X5,X6),the_carrier(X5))
& element(esk6_2(X5,X6),the_carrier(X5))
& in(esk5_2(X5,X6),X6)
& related(X5,esk5_2(X5,X6),esk6_2(X5,X6))
& ~ in(esk6_2(X5,X6),X6) )
| upper_relstr_subset(X6,X5) ) ) ) ),
inference(skolemize,[status(esa)],[115]) ).
fof(117,plain,
! [X5,X6,X7,X8] :
( ( ( ~ element(X8,the_carrier(X5))
| ~ in(X7,X6)
| ~ related(X5,X7,X8)
| in(X8,X6)
| ~ element(X7,the_carrier(X5))
| ~ upper_relstr_subset(X6,X5) )
& ( ( element(esk5_2(X5,X6),the_carrier(X5))
& element(esk6_2(X5,X6),the_carrier(X5))
& in(esk5_2(X5,X6),X6)
& related(X5,esk5_2(X5,X6),esk6_2(X5,X6))
& ~ in(esk6_2(X5,X6),X6) )
| upper_relstr_subset(X6,X5) ) )
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) ),
inference(shift_quantors,[status(thm)],[116]) ).
fof(118,plain,
! [X5,X6,X7,X8] :
( ( ~ element(X8,the_carrier(X5))
| ~ in(X7,X6)
| ~ related(X5,X7,X8)
| in(X8,X6)
| ~ element(X7,the_carrier(X5))
| ~ upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( element(esk5_2(X5,X6),the_carrier(X5))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( element(esk6_2(X5,X6),the_carrier(X5))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( in(esk5_2(X5,X6),X6)
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( related(X5,esk5_2(X5,X6),esk6_2(X5,X6))
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) )
& ( ~ in(esk6_2(X5,X6),X6)
| upper_relstr_subset(X6,X5)
| ~ element(X6,powerset(the_carrier(X5)))
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[117]) ).
cnf(124,plain,
( in(X4,X2)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ upper_relstr_subset(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,X4)
| ~ in(X3,X2)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(157,plain,
! [X1] :
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(158,plain,
! [X2] :
( ~ rel_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[157]) ).
cnf(159,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
fof(163,plain,
! [X1,X2] :
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(164,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[163]) ).
cnf(165,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(170,plain,
! [X1,X2] :
( ~ element(X2,powerset(X1))
| ( ( ~ proper_element(X2,powerset(X1))
| X2 != X1 )
& ( X2 = X1
| proper_element(X2,powerset(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(171,plain,
! [X3,X4] :
( ~ element(X4,powerset(X3))
| ( ( ~ proper_element(X4,powerset(X3))
| X4 != X3 )
& ( X4 = X3
| proper_element(X4,powerset(X3)) ) ) ),
inference(variable_rename,[status(thm)],[170]) ).
fof(172,plain,
! [X3,X4] :
( ( ~ proper_element(X4,powerset(X3))
| X4 != X3
| ~ element(X4,powerset(X3)) )
& ( X4 = X3
| proper_element(X4,powerset(X3))
| ~ element(X4,powerset(X3)) ) ),
inference(distribute,[status(thm)],[171]) ).
cnf(173,plain,
( proper_element(X1,powerset(X2))
| X1 = X2
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(174,plain,
( ~ element(X1,powerset(X2))
| X1 != X2
| ~ proper_element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(175,plain,
! [X1,X2] :
( ( ~ element(X1,powerset(X2))
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| element(X1,powerset(X2)) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(176,plain,
! [X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(variable_rename,[status(thm)],[175]) ).
cnf(177,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(179,negated_conjecture,
? [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) )
& ( proper_element(X2,powerset(the_carrier(X1)))
| ~ in(bottom_of_relstr(X1),X2) ) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(180,negated_conjecture,
? [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) )
& ( proper_element(X4,powerset(the_carrier(X3)))
| ~ in(bottom_of_relstr(X3),X4) ) ) ),
inference(variable_rename,[status(thm)],[179]) ).
fof(181,negated_conjecture,
( ~ empty_carrier(esk11_0)
& reflexive_relstr(esk11_0)
& transitive_relstr(esk11_0)
& antisymmetric_relstr(esk11_0)
& lower_bounded_relstr(esk11_0)
& rel_str(esk11_0)
& ~ empty(esk12_0)
& filtered_subset(esk12_0,esk11_0)
& upper_relstr_subset(esk12_0,esk11_0)
& element(esk12_0,powerset(the_carrier(esk11_0)))
& ( ~ proper_element(esk12_0,powerset(the_carrier(esk11_0)))
| in(bottom_of_relstr(esk11_0),esk12_0) )
& ( proper_element(esk12_0,powerset(the_carrier(esk11_0)))
| ~ in(bottom_of_relstr(esk11_0),esk12_0) ) ),
inference(skolemize,[status(esa)],[180]) ).
cnf(182,negated_conjecture,
( proper_element(esk12_0,powerset(the_carrier(esk11_0)))
| ~ in(bottom_of_relstr(esk11_0),esk12_0) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(183,negated_conjecture,
( in(bottom_of_relstr(esk11_0),esk12_0)
| ~ proper_element(esk12_0,powerset(the_carrier(esk11_0))) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(184,negated_conjecture,
element(esk12_0,powerset(the_carrier(esk11_0))),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(185,negated_conjecture,
upper_relstr_subset(esk12_0,esk11_0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(187,negated_conjecture,
~ empty(esk12_0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(188,negated_conjecture,
rel_str(esk11_0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(189,negated_conjecture,
lower_bounded_relstr(esk11_0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(190,negated_conjecture,
antisymmetric_relstr(esk11_0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(193,negated_conjecture,
~ empty_carrier(esk11_0),
inference(split_conjunct,[status(thm)],[181]) ).
fof(213,plain,
! [X1,X2,X3] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| element(X1,X3) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(214,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[213]) ).
cnf(215,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[214]) ).
fof(229,plain,
! [X1] :
( ~ rel_str(X1)
| element(bottom_of_relstr(X1),the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(230,plain,
! [X2] :
( ~ rel_str(X2)
| element(bottom_of_relstr(X2),the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[229]) ).
cnf(231,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[230]) ).
cnf(246,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[105,159,theory(equality)]) ).
cnf(255,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[177,94,theory(equality)]) ).
cnf(258,negated_conjecture,
( element(X1,the_carrier(esk11_0))
| ~ in(X1,esk12_0) ),
inference(spm,[status(thm)],[215,184,theory(equality)]) ).
cnf(264,negated_conjecture,
( in(bottom_of_relstr(esk11_0),esk12_0)
| esk12_0 = the_carrier(esk11_0)
| ~ element(esk12_0,powerset(the_carrier(esk11_0))) ),
inference(spm,[status(thm)],[183,173,theory(equality)]) ).
cnf(265,negated_conjecture,
( in(bottom_of_relstr(esk11_0),esk12_0)
| esk12_0 = the_carrier(esk11_0)
| $false ),
inference(rw,[status(thm)],[264,184,theory(equality)]) ).
cnf(266,negated_conjecture,
( in(bottom_of_relstr(esk11_0),esk12_0)
| esk12_0 = the_carrier(esk11_0) ),
inference(cn,[status(thm)],[265,theory(equality)]) ).
cnf(267,plain,
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(er,[status(thm)],[174,theory(equality)]) ).
cnf(288,plain,
( X1 = X2
| empty(X2)
| ~ in(esk4_2(X1,X2),X1)
| ~ element(esk4_2(X1,X2),X2) ),
inference(spm,[status(thm)],[111,165,theory(equality)]) ).
cnf(294,plain,
( in(X4,X2)
| ~ upper_relstr_subset(X2,X1)
| ~ related(X1,X3,X4)
| ~ rel_str(X1)
| ~ in(X3,X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,the_carrier(X1)) ),
inference(csr,[status(thm)],[124,215]) ).
cnf(295,negated_conjecture,
( in(X1,esk12_0)
| ~ upper_relstr_subset(esk12_0,esk11_0)
| ~ related(esk11_0,X2,X1)
| ~ rel_str(esk11_0)
| ~ in(X2,esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[294,184,theory(equality)]) ).
cnf(303,negated_conjecture,
( in(X1,esk12_0)
| $false
| ~ related(esk11_0,X2,X1)
| ~ rel_str(esk11_0)
| ~ in(X2,esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(rw,[status(thm)],[295,185,theory(equality)]) ).
cnf(304,negated_conjecture,
( in(X1,esk12_0)
| $false
| ~ related(esk11_0,X2,X1)
| $false
| ~ in(X2,esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(rw,[status(thm)],[303,188,theory(equality)]) ).
cnf(305,negated_conjecture,
( in(X1,esk12_0)
| ~ related(esk11_0,X2,X1)
| ~ in(X2,esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(cn,[status(thm)],[304,theory(equality)]) ).
cnf(351,plain,
( ~ proper_element(X1,powerset(X1))
| $false ),
inference(rw,[status(thm)],[267,255,theory(equality)]) ).
cnf(352,plain,
~ proper_element(X1,powerset(X1)),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(356,negated_conjecture,
( ~ rel_str(esk11_0)
| ~ empty(the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[193,246,theory(equality)]) ).
cnf(358,negated_conjecture,
( $false
| ~ empty(the_carrier(esk11_0)) ),
inference(rw,[status(thm)],[356,188,theory(equality)]) ).
cnf(359,negated_conjecture,
~ empty(the_carrier(esk11_0)),
inference(cn,[status(thm)],[358,theory(equality)]) ).
cnf(361,negated_conjecture,
( element(esk4_2(esk12_0,X1),the_carrier(esk11_0))
| esk12_0 = X1
| in(esk4_2(esk12_0,X1),X1) ),
inference(spm,[status(thm)],[258,110,theory(equality)]) ).
cnf(826,plain,
( X1 = X2
| empty(X2)
| empty(X1)
| ~ element(esk4_2(X1,X2),X2)
| ~ element(esk4_2(X1,X2),X1) ),
inference(spm,[status(thm)],[288,165,theory(equality)]) ).
cnf(932,negated_conjecture,
( in(X1,esk12_0)
| empty_carrier(esk11_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0))
| ~ rel_str(esk11_0)
| ~ lower_bounded_relstr(esk11_0)
| ~ antisymmetric_relstr(esk11_0) ),
inference(spm,[status(thm)],[305,92,theory(equality)]) ).
cnf(934,negated_conjecture,
( in(X1,esk12_0)
| empty_carrier(esk11_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0))
| $false
| ~ lower_bounded_relstr(esk11_0)
| ~ antisymmetric_relstr(esk11_0) ),
inference(rw,[status(thm)],[932,188,theory(equality)]) ).
cnf(935,negated_conjecture,
( in(X1,esk12_0)
| empty_carrier(esk11_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0))
| $false
| $false
| ~ antisymmetric_relstr(esk11_0) ),
inference(rw,[status(thm)],[934,189,theory(equality)]) ).
cnf(936,negated_conjecture,
( in(X1,esk12_0)
| empty_carrier(esk11_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[935,190,theory(equality)]) ).
cnf(937,negated_conjecture,
( in(X1,esk12_0)
| empty_carrier(esk11_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(cn,[status(thm)],[936,theory(equality)]) ).
cnf(938,negated_conjecture,
( in(X1,esk12_0)
| ~ in(bottom_of_relstr(esk11_0),esk12_0)
| ~ element(X1,the_carrier(esk11_0)) ),
inference(sr,[status(thm)],[937,193,theory(equality)]) ).
cnf(942,negated_conjecture,
( in(X1,esk12_0)
| the_carrier(esk11_0) = esk12_0
| ~ element(X1,the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[938,266,theory(equality)]) ).
cnf(945,negated_conjecture,
( element(X1,esk12_0)
| the_carrier(esk11_0) = esk12_0
| ~ element(X1,the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[75,942,theory(equality)]) ).
cnf(1392,negated_conjecture,
( element(esk4_2(esk12_0,X1),X1)
| esk12_0 = X1
| element(esk4_2(esk12_0,X1),the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[75,361,theory(equality)]) ).
cnf(1491,negated_conjecture,
( esk12_0 = the_carrier(esk11_0)
| element(esk4_2(esk12_0,the_carrier(esk11_0)),the_carrier(esk11_0)) ),
inference(ef,[status(thm)],[1392,theory(equality)]) ).
cnf(1510,negated_conjecture,
( the_carrier(esk11_0) = esk12_0
| element(esk4_2(esk12_0,the_carrier(esk11_0)),esk12_0) ),
inference(spm,[status(thm)],[945,1491,theory(equality)]) ).
cnf(11625,negated_conjecture,
( esk12_0 = the_carrier(esk11_0)
| empty(esk12_0)
| empty(the_carrier(esk11_0))
| ~ element(esk4_2(esk12_0,the_carrier(esk11_0)),esk12_0) ),
inference(spm,[status(thm)],[826,1491,theory(equality)]) ).
cnf(11667,negated_conjecture,
( the_carrier(esk11_0) = esk12_0
| empty(the_carrier(esk11_0))
| ~ element(esk4_2(esk12_0,the_carrier(esk11_0)),esk12_0) ),
inference(sr,[status(thm)],[11625,187,theory(equality)]) ).
cnf(11668,negated_conjecture,
( the_carrier(esk11_0) = esk12_0
| ~ element(esk4_2(esk12_0,the_carrier(esk11_0)),esk12_0) ),
inference(sr,[status(thm)],[11667,359,theory(equality)]) ).
cnf(11682,negated_conjecture,
the_carrier(esk11_0) = esk12_0,
inference(csr,[status(thm)],[11668,1510]) ).
cnf(11683,negated_conjecture,
( element(bottom_of_relstr(esk11_0),esk12_0)
| ~ rel_str(esk11_0) ),
inference(spm,[status(thm)],[231,11682,theory(equality)]) ).
cnf(12093,negated_conjecture,
( proper_element(esk12_0,powerset(esk12_0))
| ~ in(bottom_of_relstr(esk11_0),esk12_0) ),
inference(rw,[status(thm)],[182,11682,theory(equality)]) ).
cnf(12094,negated_conjecture,
~ in(bottom_of_relstr(esk11_0),esk12_0),
inference(sr,[status(thm)],[12093,352,theory(equality)]) ).
cnf(12095,negated_conjecture,
( element(bottom_of_relstr(esk11_0),esk12_0)
| $false ),
inference(rw,[status(thm)],[11683,188,theory(equality)]) ).
cnf(12096,negated_conjecture,
element(bottom_of_relstr(esk11_0),esk12_0),
inference(cn,[status(thm)],[12095,theory(equality)]) ).
cnf(12275,negated_conjecture,
( empty(esk12_0)
| ~ element(bottom_of_relstr(esk11_0),esk12_0) ),
inference(spm,[status(thm)],[12094,165,theory(equality)]) ).
cnf(12276,negated_conjecture,
( empty(esk12_0)
| $false ),
inference(rw,[status(thm)],[12275,12096,theory(equality)]) ).
cnf(12277,negated_conjecture,
empty(esk12_0),
inference(cn,[status(thm)],[12276,theory(equality)]) ).
cnf(12278,negated_conjecture,
$false,
inference(sr,[status(thm)],[12277,187,theory(equality)]) ).
cnf(12279,negated_conjecture,
$false,
12278,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU383+1.p
% --creating new selector for []
% -running prover on /tmp/tmpJqaC71/sel_SEU383+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU383+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU383+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU383+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
%
%------------------------------------------------------------------------------