TSTP Solution File: SEU364+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU364+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 07:48:53 EST 2010
% Result : Theorem 6.23s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 141
% Number of leaves : 2
% Syntax : Number of formulae : 314 ( 14 unt; 0 def)
% Number of atoms : 3121 ( 472 equ)
% Maximal formula atoms : 748 ( 9 avg)
% Number of connectives : 4383 (1576 ~;2533 |; 260 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 93 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 434 ( 0 sgn 76 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(15,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( X7 = X5
& ? [X8] :
( element(X8,the_carrier(X1))
& in(X8,X2)
& relstr_set_smaller(X1,X7,X8) ) )
& X4 = X6
& ? [X9] :
( X9 = X6
& ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(X3))
& X6 = X5
& ? [X11] :
( X11 = X5
& ? [X12] :
( element(X12,the_carrier(X1))
& in(X12,X2)
& relstr_set_smaller(X1,X11,X12) ) ) ) ) ) ),
file('/tmp/tmpPVjcgf/sel_SEU364+1.p_1',s1_tarski__e11_2_1__waybel_0__1) ).
fof(20,conjecture,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ),
file('/tmp/tmpPVjcgf/sel_SEU364+1.p_1',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(22,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ),
inference(assume_negation,[status(cth)],[20]) ).
fof(29,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( X7 = X5
& ? [X8] :
( element(X8,the_carrier(X1))
& in(X8,X2)
& relstr_set_smaller(X1,X7,X8) ) )
& X4 = X6
& ? [X9] :
( X9 = X6
& ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(X3))
& X6 = X5
& ? [X11] :
( X11 = X5
& ? [X12] :
( element(X12,the_carrier(X1))
& in(X12,X2)
& relstr_set_smaller(X1,X11,X12) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(33,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2)) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(83,plain,
! [X1,X2,X3] :
( empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ? [X4,X5,X6] :
( X4 = X5
& ? [X7] :
( X7 = X5
& ? [X8] :
( element(X8,the_carrier(X1))
& in(X8,X2)
& relstr_set_smaller(X1,X7,X8) ) )
& X4 = X6
& ? [X9] :
( X9 = X6
& ? [X10] :
( element(X10,the_carrier(X1))
& in(X10,X2)
& relstr_set_smaller(X1,X9,X10) ) )
& X5 != X6 )
| ? [X4] :
! [X5] :
( ( ~ in(X5,X4)
| ? [X6] :
( in(X6,powerset(X3))
& X6 = X5
& ? [X11] :
( X11 = X5
& ? [X12] :
( element(X12,the_carrier(X1))
& in(X12,X2)
& relstr_set_smaller(X1,X11,X12) ) ) ) )
& ( ! [X6] :
( ~ in(X6,powerset(X3))
| X6 != X5
| ! [X11] :
( X11 != X5
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| ~ in(X12,X2)
| ~ relstr_set_smaller(X1,X11,X12) ) ) )
| in(X5,X4) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(84,plain,
! [X13,X14,X15] :
( empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14))
| ? [X16,X17,X18] :
( X16 = X17
& ? [X19] :
( X19 = X17
& ? [X20] :
( element(X20,the_carrier(X13))
& in(X20,X14)
& relstr_set_smaller(X13,X19,X20) ) )
& X16 = X18
& ? [X21] :
( X21 = X18
& ? [X22] :
( element(X22,the_carrier(X13))
& in(X22,X14)
& relstr_set_smaller(X13,X21,X22) ) )
& X17 != X18 )
| ? [X23] :
! [X24] :
( ( ~ in(X24,X23)
| ? [X25] :
( in(X25,powerset(X15))
& X25 = X24
& ? [X26] :
( X26 = X24
& ? [X27] :
( element(X27,the_carrier(X13))
& in(X27,X14)
& relstr_set_smaller(X13,X26,X27) ) ) ) )
& ( ! [X28] :
( ~ in(X28,powerset(X15))
| X28 != X24
| ! [X29] :
( X29 != X24
| ! [X30] :
( ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30) ) ) )
| in(X24,X23) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X13,X14,X15] :
( empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14))
| ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
& esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
& element(esk11_3(X13,X14,X15),the_carrier(X13))
& in(esk11_3(X13,X14,X15),X14)
& relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
& esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
& esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
& element(esk13_3(X13,X14,X15),the_carrier(X13))
& in(esk13_3(X13,X14,X15),X14)
& relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
& esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15) )
| ! [X24] :
( ( ~ in(X24,esk14_3(X13,X14,X15))
| ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
& esk15_4(X13,X14,X15,X24) = X24
& esk16_4(X13,X14,X15,X24) = X24
& element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
& in(esk17_4(X13,X14,X15,X24),X14)
& relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24)) ) )
& ( ! [X28] :
( ~ in(X28,powerset(X15))
| X28 != X24
| ! [X29] :
( X29 != X24
| ! [X30] :
( ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30) ) ) )
| in(X24,esk14_3(X13,X14,X15)) ) ) ),
inference(skolemize,[status(esa)],[84]) ).
fof(86,plain,
! [X13,X14,X15,X24,X28,X29,X30] :
( ( ( ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15)) )
& ( ~ in(X24,esk14_3(X13,X14,X15))
| ( in(esk15_4(X13,X14,X15,X24),powerset(X15))
& esk15_4(X13,X14,X15,X24) = X24
& esk16_4(X13,X14,X15,X24) = X24
& element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
& in(esk17_4(X13,X14,X15,X24),X14)
& relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24)) ) ) )
| ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
& esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
& element(esk11_3(X13,X14,X15),the_carrier(X13))
& in(esk11_3(X13,X14,X15),X14)
& relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
& esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
& esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
& element(esk13_3(X13,X14,X15),the_carrier(X13))
& in(esk13_3(X13,X14,X15),X14)
& relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
& esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15) )
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) ),
inference(shift_quantors,[status(thm)],[85]) ).
fof(87,plain,
! [X13,X14,X15,X24,X28,X29,X30] :
( ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| ~ element(X30,the_carrier(X13))
| ~ in(X30,X14)
| ~ relstr_set_smaller(X13,X29,X30)
| X29 != X24
| ~ in(X28,powerset(X15))
| X28 != X24
| in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| in(esk15_4(X13,X14,X15,X24),powerset(X15))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| esk15_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| esk16_4(X13,X14,X15,X24) = X24
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| element(esk17_4(X13,X14,X15,X24),the_carrier(X13))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| in(esk17_4(X13,X14,X15,X24),X14)
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk10_3(X13,X14,X15) = esk8_3(X13,X14,X15)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk11_3(X13,X14,X15),the_carrier(X13))
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk11_3(X13,X14,X15),X14)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk10_3(X13,X14,X15),esk11_3(X13,X14,X15))
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk7_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk12_3(X13,X14,X15) = esk9_3(X13,X14,X15)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( element(esk13_3(X13,X14,X15),the_carrier(X13))
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( in(esk13_3(X13,X14,X15),X14)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( relstr_set_smaller(X13,esk12_3(X13,X14,X15),esk13_3(X13,X14,X15))
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) )
& ( esk8_3(X13,X14,X15) != esk9_3(X13,X14,X15)
| relstr_set_smaller(X13,esk16_4(X13,X14,X15,X24),esk17_4(X13,X14,X15,X24))
| ~ in(X24,esk14_3(X13,X14,X15))
| empty_carrier(X13)
| ~ transitive_relstr(X13)
| ~ rel_str(X13)
| ~ element(X14,powerset(the_carrier(X13)))
| ~ finite(X15)
| ~ element(X15,powerset(X14)) ) ),
inference(distribute,[status(thm)],[86]) ).
cnf(88,plain,
( empty_carrier(X3)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(93,plain,
( empty_carrier(X3)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(98,plain,
( empty_carrier(X3)
| relstr_set_smaller(X3,esk16_4(X3,X2,X1,X4),esk17_4(X3,X2,X1,X4))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(99,plain,
( empty_carrier(X3)
| in(esk17_4(X3,X2,X1,X4),X2)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(104,plain,
( empty_carrier(X3)
| in(esk17_4(X3,X2,X1,X4),X2)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(109,plain,
( empty_carrier(X3)
| in(esk17_4(X3,X2,X1,X4),X2)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(110,plain,
( empty_carrier(X3)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(115,plain,
( empty_carrier(X3)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(120,plain,
( empty_carrier(X3)
| element(esk17_4(X3,X2,X1,X4),the_carrier(X3))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(121,plain,
( empty_carrier(X3)
| esk16_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(126,plain,
( empty_carrier(X3)
| esk16_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(131,plain,
( empty_carrier(X3)
| esk16_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(132,plain,
( empty_carrier(X3)
| esk15_4(X3,X2,X1,X4) = X4
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(137,plain,
( empty_carrier(X3)
| esk15_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(142,plain,
( empty_carrier(X3)
| esk15_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(143,plain,
( empty_carrier(X3)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(148,plain,
( empty_carrier(X3)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(153,plain,
( empty_carrier(X3)
| in(esk15_4(X3,X2,X1,X4),powerset(X1))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| ~ in(X4,esk14_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(154,plain,
( empty_carrier(X3)
| in(X4,esk14_3(X3,X2,X1))
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| X5 != X4
| ~ in(X5,powerset(X1))
| X6 != X4
| ~ relstr_set_smaller(X3,X6,X7)
| ~ in(X7,X2)
| ~ element(X7,the_carrier(X3))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(159,plain,
( empty_carrier(X3)
| in(X4,esk14_3(X3,X2,X1))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| X5 != X4
| ~ in(X5,powerset(X1))
| X6 != X4
| ~ relstr_set_smaller(X3,X6,X7)
| ~ in(X7,X2)
| ~ element(X7,the_carrier(X3)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(164,plain,
( empty_carrier(X3)
| in(X4,esk14_3(X3,X2,X1))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ element(X1,powerset(X2))
| ~ finite(X1)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ rel_str(X3)
| ~ transitive_relstr(X3)
| X5 != X4
| ~ in(X5,powerset(X1))
| X6 != X4
| ~ relstr_set_smaller(X3,X6,X7)
| ~ in(X7,X2)
| ~ element(X7,the_carrier(X3)) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(181,negated_conjecture,
? [X1,X2,X3] :
( ~ empty_carrier(X1)
& transitive_relstr(X1)
& rel_str(X1)
& element(X2,powerset(the_carrier(X1)))
& finite(X3)
& element(X3,powerset(X2))
& ! [X4] :
? [X5] :
( ( ~ in(X5,X4)
| ~ in(X5,powerset(X3))
| ! [X6] :
( X6 != X5
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X6,X7) ) ) )
& ( in(X5,X4)
| ( in(X5,powerset(X3))
& ? [X6] :
( X6 = X5
& ? [X7] :
( element(X7,the_carrier(X1))
& in(X7,X2)
& relstr_set_smaller(X1,X6,X7) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(182,negated_conjecture,
? [X8,X9,X10] :
( ~ empty_carrier(X8)
& transitive_relstr(X8)
& rel_str(X8)
& element(X9,powerset(the_carrier(X8)))
& finite(X10)
& element(X10,powerset(X9))
& ! [X11] :
? [X12] :
( ( ~ in(X12,X11)
| ~ in(X12,powerset(X10))
| ! [X13] :
( X13 != X12
| ! [X14] :
( ~ element(X14,the_carrier(X8))
| ~ in(X14,X9)
| ~ relstr_set_smaller(X8,X13,X14) ) ) )
& ( in(X12,X11)
| ( in(X12,powerset(X10))
& ? [X15] :
( X15 = X12
& ? [X16] :
( element(X16,the_carrier(X8))
& in(X16,X9)
& relstr_set_smaller(X8,X15,X16) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,negated_conjecture,
( ~ empty_carrier(esk21_0)
& transitive_relstr(esk21_0)
& rel_str(esk21_0)
& element(esk22_0,powerset(the_carrier(esk21_0)))
& finite(esk23_0)
& element(esk23_0,powerset(esk22_0))
& ! [X11] :
( ( ~ in(esk24_1(X11),X11)
| ~ in(esk24_1(X11),powerset(esk23_0))
| ! [X13] :
( X13 != esk24_1(X11)
| ! [X14] :
( ~ element(X14,the_carrier(esk21_0))
| ~ in(X14,esk22_0)
| ~ relstr_set_smaller(esk21_0,X13,X14) ) ) )
& ( in(esk24_1(X11),X11)
| ( in(esk24_1(X11),powerset(esk23_0))
& esk25_1(X11) = esk24_1(X11)
& element(esk26_1(X11),the_carrier(esk21_0))
& in(esk26_1(X11),esk22_0)
& relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11)) ) ) ) ),
inference(skolemize,[status(esa)],[182]) ).
fof(184,negated_conjecture,
! [X11,X13,X14] :
( ( ~ element(X14,the_carrier(esk21_0))
| ~ in(X14,esk22_0)
| ~ relstr_set_smaller(esk21_0,X13,X14)
| X13 != esk24_1(X11)
| ~ in(esk24_1(X11),powerset(esk23_0))
| ~ in(esk24_1(X11),X11) )
& ( in(esk24_1(X11),X11)
| ( in(esk24_1(X11),powerset(esk23_0))
& esk25_1(X11) = esk24_1(X11)
& element(esk26_1(X11),the_carrier(esk21_0))
& in(esk26_1(X11),esk22_0)
& relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11)) ) )
& ~ empty_carrier(esk21_0)
& transitive_relstr(esk21_0)
& rel_str(esk21_0)
& element(esk22_0,powerset(the_carrier(esk21_0)))
& finite(esk23_0)
& element(esk23_0,powerset(esk22_0)) ),
inference(shift_quantors,[status(thm)],[183]) ).
fof(185,negated_conjecture,
! [X11,X13,X14] :
( ( ~ element(X14,the_carrier(esk21_0))
| ~ in(X14,esk22_0)
| ~ relstr_set_smaller(esk21_0,X13,X14)
| X13 != esk24_1(X11)
| ~ in(esk24_1(X11),powerset(esk23_0))
| ~ in(esk24_1(X11),X11) )
& ( in(esk24_1(X11),powerset(esk23_0))
| in(esk24_1(X11),X11) )
& ( esk25_1(X11) = esk24_1(X11)
| in(esk24_1(X11),X11) )
& ( element(esk26_1(X11),the_carrier(esk21_0))
| in(esk24_1(X11),X11) )
& ( in(esk26_1(X11),esk22_0)
| in(esk24_1(X11),X11) )
& ( relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11))
| in(esk24_1(X11),X11) )
& ~ empty_carrier(esk21_0)
& transitive_relstr(esk21_0)
& rel_str(esk21_0)
& element(esk22_0,powerset(the_carrier(esk21_0)))
& finite(esk23_0)
& element(esk23_0,powerset(esk22_0)) ),
inference(distribute,[status(thm)],[184]) ).
cnf(186,negated_conjecture,
element(esk23_0,powerset(esk22_0)),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(187,negated_conjecture,
finite(esk23_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(188,negated_conjecture,
element(esk22_0,powerset(the_carrier(esk21_0))),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(189,negated_conjecture,
rel_str(esk21_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(190,negated_conjecture,
transitive_relstr(esk21_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(191,negated_conjecture,
~ empty_carrier(esk21_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(192,negated_conjecture,
( in(esk24_1(X1),X1)
| relstr_set_smaller(esk21_0,esk25_1(X1),esk26_1(X1)) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(193,negated_conjecture,
( in(esk24_1(X1),X1)
| in(esk26_1(X1),esk22_0) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(194,negated_conjecture,
( in(esk24_1(X1),X1)
| element(esk26_1(X1),the_carrier(esk21_0)) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(195,negated_conjecture,
( in(esk24_1(X1),X1)
| esk25_1(X1) = esk24_1(X1) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(196,negated_conjecture,
( in(esk24_1(X1),X1)
| in(esk24_1(X1),powerset(esk23_0)) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(197,negated_conjecture,
( ~ in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),powerset(esk23_0))
| X2 != esk24_1(X1)
| ~ relstr_set_smaller(esk21_0,X2,X3)
| ~ in(X3,esk22_0)
| ~ element(X3,the_carrier(esk21_0)) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(292,plain,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| empty_carrier(X1)
| X4 != X5
| ~ relstr_set_smaller(X1,X4,X6)
| ~ in(X5,powerset(X3))
| ~ in(X6,X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X6,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(er,[status(thm)],[164,theory(equality)]) ).
cnf(293,plain,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| empty_carrier(X1)
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(er,[status(thm)],[292,theory(equality)]) ).
cnf(338,plain,
( esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| empty_carrier(X1)
| X4 != X5
| ~ relstr_set_smaller(X1,X4,X6)
| ~ in(X5,powerset(X3))
| ~ in(X6,X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X6,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(er,[status(thm)],[159,theory(equality)]) ).
cnf(339,plain,
( esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(X4,esk14_3(X1,X2,X3))
| empty_carrier(X1)
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(er,[status(thm)],[338,theory(equality)]) ).
cnf(604,plain,
( in(X1,esk14_3(X2,X3,X4))
| empty_carrier(X2)
| esk9_3(X2,X3,X4) != esk8_3(X2,X3,X4)
| X1 != X5
| ~ relstr_set_smaller(X2,X1,X6)
| ~ in(X5,powerset(X4))
| ~ in(X6,X3)
| ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X6,the_carrier(X2))
| ~ element(X4,powerset(X3))
| ~ finite(X4) ),
inference(er,[status(thm)],[154,theory(equality)]) ).
cnf(605,plain,
( in(X1,esk14_3(X2,X3,X4))
| empty_carrier(X2)
| esk9_3(X2,X3,X4) != esk8_3(X2,X3,X4)
| ~ relstr_set_smaller(X2,X1,X5)
| ~ in(X1,powerset(X4))
| ~ in(X5,X3)
| ~ transitive_relstr(X2)
| ~ rel_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X5,the_carrier(X2))
| ~ element(X4,powerset(X3))
| ~ finite(X4) ),
inference(er,[status(thm)],[604,theory(equality)]) ).
cnf(3606,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(spm,[status(thm)],[293,192,theory(equality)]) ).
cnf(3649,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| $false
| ~ rel_str(esk21_0)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(rw,[status(thm)],[3606,190,theory(equality)]) ).
cnf(3650,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(rw,[status(thm)],[3649,189,theory(equality)]) ).
cnf(3651,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(cn,[status(thm)],[3650,theory(equality)]) ).
cnf(3652,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(sr,[status(thm)],[3651,191,theory(equality)]) ).
cnf(3769,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk8_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(csr,[status(thm)],[3652,194]) ).
cnf(3770,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk8_3(esk21_0,esk22_0,X1)
| in(esk25_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk25_1(X2),powerset(X1))
| ~ in(esk26_1(X2),esk22_0)
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(spm,[status(thm)],[3769,188,theory(equality)]) ).
cnf(3777,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk8_3(esk21_0,esk22_0,X1)
| in(esk25_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk25_1(X2),powerset(X1))
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(csr,[status(thm)],[3770,193]) ).
cnf(3778,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk8_3(esk21_0,esk22_0,X1)
| in(esk24_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk24_1(X2),powerset(X1))
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(spm,[status(thm)],[3777,195,theory(equality)]) ).
cnf(3782,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[3778,196,theory(equality)]) ).
cnf(3817,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[3782,186,theory(equality)]) ).
cnf(3818,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| $false
| $false ),
inference(rw,[status(thm)],[3817,187,theory(equality)]) ).
cnf(3819,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1) ),
inference(cn,[status(thm)],[3818,theory(equality)]) ).
cnf(3844,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(ef,[status(thm)],[3819,theory(equality)]) ).
cnf(3880,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[131,3819,theory(equality)]) ).
cnf(4071,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[3880,190,theory(equality)]) ).
cnf(4072,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4071,189,theory(equality)]) ).
cnf(4073,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4072,188,theory(equality)]) ).
cnf(4074,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4073,186,theory(equality)]) ).
cnf(4075,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4074,187,theory(equality)]) ).
cnf(4076,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1) ),
inference(cn,[status(thm)],[4075,theory(equality)]) ).
cnf(4077,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| in(esk24_1(X1),X1) ),
inference(sr,[status(thm)],[4076,191,theory(equality)]) ).
cnf(4450,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[98,4077,theory(equality)]) ).
cnf(4530,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4450,190,theory(equality)]) ).
cnf(4531,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4530,189,theory(equality)]) ).
cnf(4532,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4531,188,theory(equality)]) ).
cnf(4533,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4532,186,theory(equality)]) ).
cnf(4534,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4533,187,theory(equality)]) ).
cnf(4535,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[4534,theory(equality)]) ).
cnf(4536,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[4535,191,theory(equality)]) ).
cnf(4578,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[142,3844,theory(equality)]) ).
cnf(4582,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[131,3844,theory(equality)]) ).
cnf(4690,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4578,190,theory(equality)]) ).
cnf(4691,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4690,189,theory(equality)]) ).
cnf(4692,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4691,188,theory(equality)]) ).
cnf(4693,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4692,186,theory(equality)]) ).
cnf(4694,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4693,187,theory(equality)]) ).
cnf(4695,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0) ),
inference(cn,[status(thm)],[4694,theory(equality)]) ).
cnf(4696,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[4695,191,theory(equality)]) ).
cnf(4718,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4582,190,theory(equality)]) ).
cnf(4719,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4718,189,theory(equality)]) ).
cnf(4720,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4719,188,theory(equality)]) ).
cnf(4721,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4720,186,theory(equality)]) ).
cnf(4722,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4721,187,theory(equality)]) ).
cnf(4723,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0) ),
inference(cn,[status(thm)],[4722,theory(equality)]) ).
cnf(4724,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[4723,191,theory(equality)]) ).
cnf(4841,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[153,4696,theory(equality)]) ).
cnf(4871,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4841,190,theory(equality)]) ).
cnf(4872,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4871,189,theory(equality)]) ).
cnf(4873,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4872,188,theory(equality)]) ).
cnf(4874,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[4873,186,theory(equality)]) ).
cnf(4875,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4874,187,theory(equality)]) ).
cnf(4876,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[4875,theory(equality)]) ).
cnf(4877,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[4876,191,theory(equality)]) ).
cnf(5005,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[98,4724,theory(equality)]) ).
cnf(5038,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[5005,190,theory(equality)]) ).
cnf(5039,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[5038,189,theory(equality)]) ).
cnf(5040,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[5039,188,theory(equality)]) ).
cnf(5041,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[5040,186,theory(equality)]) ).
cnf(5042,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5041,187,theory(equality)]) ).
cnf(5043,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[5042,theory(equality)]) ).
cnf(5044,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[5043,191,theory(equality)]) ).
cnf(6307,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0)) ),
inference(csr,[status(thm)],[4877,196]) ).
cnf(6309,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(spm,[status(thm)],[197,6307,theory(equality)]) ).
cnf(7533,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| in(esk24_1(X1),X1) ),
inference(csr,[status(thm)],[4536,3819]) ).
cnf(8849,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(spm,[status(thm)],[339,192,theory(equality)]) ).
cnf(8901,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| $false
| ~ rel_str(esk21_0)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(rw,[status(thm)],[8849,190,theory(equality)]) ).
cnf(8902,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| $false
| $false
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(rw,[status(thm)],[8901,189,theory(equality)]) ).
cnf(8903,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| empty_carrier(esk21_0)
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(cn,[status(thm)],[8902,theory(equality)]) ).
cnf(8904,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X3),the_carrier(esk21_0))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(sr,[status(thm)],[8903,191,theory(equality)]) ).
cnf(9982,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)))) ),
inference(csr,[status(thm)],[5044,7533]) ).
cnf(10349,negated_conjecture,
( esk7_3(esk21_0,X1,X2) = esk9_3(esk21_0,X1,X2)
| in(esk25_1(X3),esk14_3(esk21_0,X1,X2))
| in(esk24_1(X3),X3)
| ~ in(esk25_1(X3),powerset(X2))
| ~ in(esk26_1(X3),X1)
| ~ element(X1,powerset(the_carrier(esk21_0)))
| ~ element(X2,powerset(X1))
| ~ finite(X2) ),
inference(csr,[status(thm)],[8904,194]) ).
cnf(10350,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk9_3(esk21_0,esk22_0,X1)
| in(esk25_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk25_1(X2),powerset(X1))
| ~ in(esk26_1(X2),esk22_0)
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(spm,[status(thm)],[10349,188,theory(equality)]) ).
cnf(10357,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk9_3(esk21_0,esk22_0,X1)
| in(esk25_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk25_1(X2),powerset(X1))
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(csr,[status(thm)],[10350,193]) ).
cnf(10358,negated_conjecture,
( esk7_3(esk21_0,esk22_0,X1) = esk9_3(esk21_0,esk22_0,X1)
| in(esk24_1(X2),esk14_3(esk21_0,esk22_0,X1))
| in(esk24_1(X2),X2)
| ~ in(esk24_1(X2),powerset(X1))
| ~ element(X1,powerset(esk22_0))
| ~ finite(X1) ),
inference(spm,[status(thm)],[10357,195,theory(equality)]) ).
cnf(10362,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[10358,196,theory(equality)]) ).
cnf(10417,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10362,186,theory(equality)]) ).
cnf(10418,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1)
| $false
| $false ),
inference(rw,[status(thm)],[10417,187,theory(equality)]) ).
cnf(10419,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| in(esk24_1(X1),X1) ),
inference(cn,[status(thm)],[10418,theory(equality)]) ).
cnf(10447,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(ef,[status(thm)],[10419,theory(equality)]) ).
cnf(10485,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[126,10419,theory(equality)]) ).
cnf(10688,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10485,190,theory(equality)]) ).
cnf(10689,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10688,189,theory(equality)]) ).
cnf(10690,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10689,188,theory(equality)]) ).
cnf(10691,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10690,186,theory(equality)]) ).
cnf(10692,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10691,187,theory(equality)]) ).
cnf(10693,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1) ),
inference(cn,[status(thm)],[10692,theory(equality)]) ).
cnf(10694,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)) = esk24_1(X1)
| in(esk24_1(X1),X1) ),
inference(sr,[status(thm)],[10693,191,theory(equality)]) ).
cnf(10809,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[137,10447,theory(equality)]) ).
cnf(10813,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[126,10447,theory(equality)]) ).
cnf(10927,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10809,190,theory(equality)]) ).
cnf(10928,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10927,189,theory(equality)]) ).
cnf(10929,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10928,188,theory(equality)]) ).
cnf(10930,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10929,186,theory(equality)]) ).
cnf(10931,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10930,187,theory(equality)]) ).
cnf(10932,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0) ),
inference(cn,[status(thm)],[10931,theory(equality)]) ).
cnf(10933,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk15_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[10932,191,theory(equality)]) ).
cnf(10955,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10813,190,theory(equality)]) ).
cnf(10956,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10955,189,theory(equality)]) ).
cnf(10957,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10956,188,theory(equality)]) ).
cnf(10958,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[10957,186,theory(equality)]) ).
cnf(10959,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[10958,187,theory(equality)]) ).
cnf(10960,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))
| empty_carrier(esk21_0) ),
inference(cn,[status(thm)],[10959,theory(equality)]) ).
cnf(10961,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| esk16_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))) = esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[10960,191,theory(equality)]) ).
cnf(11681,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[93,10694,theory(equality)]) ).
cnf(11778,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11681,190,theory(equality)]) ).
cnf(11779,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11778,189,theory(equality)]) ).
cnf(11780,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11779,188,theory(equality)]) ).
cnf(11781,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11780,186,theory(equality)]) ).
cnf(11782,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[11781,187,theory(equality)]) ).
cnf(11783,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[11782,theory(equality)]) ).
cnf(11784,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| in(esk24_1(X1),X1)
| ~ in(esk24_1(X1),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[11783,191,theory(equality)]) ).
cnf(11807,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[148,10933,theory(equality)]) ).
cnf(11867,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11807,190,theory(equality)]) ).
cnf(11868,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11867,189,theory(equality)]) ).
cnf(11869,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11868,188,theory(equality)]) ).
cnf(11870,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[11869,186,theory(equality)]) ).
cnf(11871,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[11870,187,theory(equality)]) ).
cnf(11872,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[11871,theory(equality)]) ).
cnf(11873,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[11872,191,theory(equality)]) ).
cnf(12051,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[93,10961,theory(equality)]) ).
cnf(12094,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[12051,190,theory(equality)]) ).
cnf(12095,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[12094,189,theory(equality)]) ).
cnf(12096,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[12095,188,theory(equality)]) ).
cnf(12097,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[12096,186,theory(equality)]) ).
cnf(12098,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[12097,187,theory(equality)]) ).
cnf(12099,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[12098,theory(equality)]) ).
cnf(12100,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))))
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[12099,191,theory(equality)]) ).
cnf(16137,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0)) ),
inference(csr,[status(thm)],[11873,196]) ).
cnf(20194,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(X1),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))
| in(esk24_1(X1),X1) ),
inference(csr,[status(thm)],[11784,10419]) ).
cnf(24137,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)))) ),
inference(csr,[status(thm)],[12100,20194]) ).
cnf(24335,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(csr,[status(thm)],[6309,3844]) ).
cnf(24336,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),X1)
| ~ in(X1,esk22_0)
| ~ element(X1,the_carrier(esk21_0)) ),
inference(er,[status(thm)],[24335,theory(equality)]) ).
cnf(24348,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ element(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0)) ),
inference(spm,[status(thm)],[24336,9982,theory(equality)]) ).
cnf(24351,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[24348,120,theory(equality)]) ).
cnf(24396,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24351,190,theory(equality)]) ).
cnf(24397,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24396,189,theory(equality)]) ).
cnf(24398,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24397,188,theory(equality)]) ).
cnf(24399,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24398,186,theory(equality)]) ).
cnf(24400,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[24399,187,theory(equality)]) ).
cnf(24401,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[24400,theory(equality)]) ).
cnf(24402,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[24401,191,theory(equality)]) ).
cnf(24558,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0) ),
inference(csr,[status(thm)],[24402,3844]) ).
cnf(24559,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[24558,109,theory(equality)]) ).
cnf(24604,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24559,190,theory(equality)]) ).
cnf(24605,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24604,189,theory(equality)]) ).
cnf(24606,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24605,188,theory(equality)]) ).
cnf(24607,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24606,186,theory(equality)]) ).
cnf(24608,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[24607,187,theory(equality)]) ).
cnf(24609,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[24608,theory(equality)]) ).
cnf(24610,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[24609,191,theory(equality)]) ).
cnf(24777,negated_conjecture,
esk7_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0),
inference(csr,[status(thm)],[24610,3844]) ).
cnf(24789,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)))) ),
inference(rw,[status(thm)],[24137,24777,theory(equality)]) ).
cnf(24846,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0)) ),
inference(rw,[status(thm)],[16137,24777,theory(equality)]) ).
cnf(24917,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(spm,[status(thm)],[197,24846,theory(equality)]) ).
cnf(24919,negated_conjecture,
( esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[10358,24846,theory(equality)]) ).
cnf(24924,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24919,24777,theory(equality)]) ).
cnf(24925,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[24924,186,theory(equality)]) ).
cnf(24926,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| $false
| $false ),
inference(rw,[status(thm)],[24925,187,theory(equality)]) ).
cnf(24927,negated_conjecture,
( esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[24926,theory(equality)]) ).
cnf(43313,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(csr,[status(thm)],[24917,24927]) ).
cnf(43314,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),X1)
| ~ in(X1,esk22_0)
| ~ element(X1,the_carrier(esk21_0)) ),
inference(er,[status(thm)],[43313,theory(equality)]) ).
cnf(43360,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ element(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0)) ),
inference(spm,[status(thm)],[43314,24789,theory(equality)]) ).
cnf(43365,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[43360,115,theory(equality)]) ).
cnf(43416,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43365,24777,theory(equality)]) ).
cnf(43417,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43416,190,theory(equality)]) ).
cnf(43418,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43417,189,theory(equality)]) ).
cnf(43419,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43418,188,theory(equality)]) ).
cnf(43420,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43419,186,theory(equality)]) ).
cnf(43421,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[43420,187,theory(equality)]) ).
cnf(43422,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[43421,theory(equality)]) ).
cnf(43423,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[43422,191,theory(equality)]) ).
cnf(43606,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0) ),
inference(csr,[status(thm)],[43423,24927]) ).
cnf(43608,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk7_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[43606,104,theory(equality)]) ).
cnf(43659,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43608,24777,theory(equality)]) ).
cnf(43660,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43659,190,theory(equality)]) ).
cnf(43661,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43660,189,theory(equality)]) ).
cnf(43662,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43661,188,theory(equality)]) ).
cnf(43663,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43662,186,theory(equality)]) ).
cnf(43664,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| esk8_3(esk21_0,esk22_0,esk23_0) = esk9_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[43663,187,theory(equality)]) ).
cnf(43665,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| empty_carrier(esk21_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[43664,theory(equality)]) ).
cnf(43666,negated_conjecture,
( esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[43665,191,theory(equality)]) ).
cnf(43835,negated_conjecture,
esk9_3(esk21_0,esk22_0,esk23_0) = esk8_3(esk21_0,esk22_0,esk23_0),
inference(csr,[status(thm)],[43666,24927]) ).
cnf(43836,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[132,43835,theory(equality)]) ).
cnf(43837,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[121,43835,theory(equality)]) ).
cnf(43864,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43836,190,theory(equality)]) ).
cnf(43865,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43864,189,theory(equality)]) ).
cnf(43866,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43865,188,theory(equality)]) ).
cnf(43867,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43866,186,theory(equality)]) ).
cnf(43868,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[43867,187,theory(equality)]) ).
cnf(43869,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[43868,theory(equality)]) ).
cnf(43870,negated_conjecture,
( esk15_4(esk21_0,esk22_0,esk23_0,X1) = X1
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[43869,191,theory(equality)]) ).
cnf(43871,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43837,190,theory(equality)]) ).
cnf(43872,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43871,189,theory(equality)]) ).
cnf(43873,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43872,188,theory(equality)]) ).
cnf(43874,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43873,186,theory(equality)]) ).
cnf(43875,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[43874,187,theory(equality)]) ).
cnf(43876,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[43875,theory(equality)]) ).
cnf(43877,negated_conjecture,
( esk16_4(esk21_0,esk22_0,esk23_0,X1) = X1
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[43876,191,theory(equality)]) ).
cnf(43926,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| esk9_3(esk21_0,esk22_0,esk23_0) != esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[143,43870,theory(equality)]) ).
cnf(44016,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[43926,43835,theory(equality)]) ).
cnf(44017,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44016,190,theory(equality)]) ).
cnf(44018,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44017,189,theory(equality)]) ).
cnf(44019,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44018,188,theory(equality)]) ).
cnf(44020,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44019,186,theory(equality)]) ).
cnf(44021,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[44020,187,theory(equality)]) ).
cnf(44022,negated_conjecture,
( in(X1,powerset(esk23_0))
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[44021,theory(equality)]) ).
cnf(44023,negated_conjecture,
( in(X1,powerset(esk23_0))
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[44022,191,theory(equality)]) ).
cnf(44250,negated_conjecture,
in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0)),
inference(spm,[status(thm)],[44023,196,theory(equality)]) ).
cnf(44278,negated_conjecture,
( esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(spm,[status(thm)],[197,44250,theory(equality)]) ).
cnf(44347,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| esk9_3(esk21_0,esk22_0,esk23_0) != esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[88,43877,theory(equality)]) ).
cnf(44410,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44347,43835,theory(equality)]) ).
cnf(44411,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44410,190,theory(equality)]) ).
cnf(44412,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44411,189,theory(equality)]) ).
cnf(44413,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44412,188,theory(equality)]) ).
cnf(44414,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[44413,186,theory(equality)]) ).
cnf(44415,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| $false
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[44414,187,theory(equality)]) ).
cnf(44416,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| empty_carrier(esk21_0)
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(cn,[status(thm)],[44415,theory(equality)]) ).
cnf(44417,negated_conjecture,
( relstr_set_smaller(esk21_0,X1,esk17_4(esk21_0,esk22_0,esk23_0,X1))
| ~ in(X1,esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(sr,[status(thm)],[44416,191,theory(equality)]) ).
cnf(69406,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X1),the_carrier(esk21_0))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(spm,[status(thm)],[605,192,theory(equality)]) ).
cnf(69484,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| $false
| ~ rel_str(esk21_0)
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X1),the_carrier(esk21_0))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(rw,[status(thm)],[69406,190,theory(equality)]) ).
cnf(69485,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| $false
| $false
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X1),the_carrier(esk21_0))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(rw,[status(thm)],[69484,189,theory(equality)]) ).
cnf(69486,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| empty_carrier(esk21_0)
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X1),the_carrier(esk21_0))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(cn,[status(thm)],[69485,theory(equality)]) ).
cnf(69487,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(esk26_1(X1),the_carrier(esk21_0))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(sr,[status(thm)],[69486,191,theory(equality)]) ).
cnf(81838,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,X2,X3))
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,X2,X3) != esk8_3(esk21_0,X2,X3)
| ~ in(esk25_1(X1),powerset(X3))
| ~ in(esk26_1(X1),X2)
| ~ element(X2,powerset(the_carrier(esk21_0)))
| ~ element(X3,powerset(X2))
| ~ finite(X3) ),
inference(csr,[status(thm)],[69487,194]) ).
cnf(81839,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,esk22_0,X2))
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,esk22_0,X2) != esk8_3(esk21_0,esk22_0,X2)
| ~ in(esk25_1(X1),powerset(X2))
| ~ in(esk26_1(X1),esk22_0)
| ~ element(X2,powerset(esk22_0))
| ~ finite(X2) ),
inference(spm,[status(thm)],[81838,188,theory(equality)]) ).
cnf(81846,negated_conjecture,
( in(esk25_1(X1),esk14_3(esk21_0,esk22_0,X2))
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,esk22_0,X2) != esk8_3(esk21_0,esk22_0,X2)
| ~ in(esk25_1(X1),powerset(X2))
| ~ element(X2,powerset(esk22_0))
| ~ finite(X2) ),
inference(csr,[status(thm)],[81839,193]) ).
cnf(81847,negated_conjecture,
( in(esk24_1(X1),esk14_3(esk21_0,esk22_0,X2))
| in(esk24_1(X1),X1)
| esk9_3(esk21_0,esk22_0,X2) != esk8_3(esk21_0,esk22_0,X2)
| ~ in(esk24_1(X1),powerset(X2))
| ~ element(X2,powerset(esk22_0))
| ~ finite(X2) ),
inference(spm,[status(thm)],[81846,195,theory(equality)]) ).
cnf(81849,negated_conjecture,
( in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| esk9_3(esk21_0,esk22_0,esk23_0) != esk8_3(esk21_0,esk22_0,esk23_0)
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[81847,44250,theory(equality)]) ).
cnf(81906,negated_conjecture,
( in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[81849,43835,theory(equality)]) ).
cnf(81907,negated_conjecture,
( in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[81906,186,theory(equality)]) ).
cnf(81908,negated_conjecture,
( in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[81907,187,theory(equality)]) ).
cnf(81909,negated_conjecture,
in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)),
inference(cn,[status(thm)],[81908,theory(equality)]) ).
cnf(82405,negated_conjecture,
( esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| $false
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(rw,[status(thm)],[44278,81909,theory(equality)]) ).
cnf(82406,negated_conjecture,
( esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)) != X1
| ~ relstr_set_smaller(esk21_0,X1,X2)
| ~ in(X2,esk22_0)
| ~ element(X2,the_carrier(esk21_0)) ),
inference(cn,[status(thm)],[82405,theory(equality)]) ).
cnf(82653,negated_conjecture,
( ~ relstr_set_smaller(esk21_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),X1)
| ~ in(X1,esk22_0)
| ~ element(X1,the_carrier(esk21_0)) ),
inference(er,[status(thm)],[82406,theory(equality)]) ).
cnf(82906,negated_conjecture,
( ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ element(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0))
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0)) ),
inference(spm,[status(thm)],[82653,44417,theory(equality)]) ).
cnf(82913,negated_conjecture,
( ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ element(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0))
| $false ),
inference(rw,[status(thm)],[82906,81909,theory(equality)]) ).
cnf(82914,negated_conjecture,
( ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| ~ element(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0)) ),
inference(cn,[status(thm)],[82913,theory(equality)]) ).
cnf(91512,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| esk9_3(esk21_0,esk22_0,esk23_0) != esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[82914,110,theory(equality)]) ).
cnf(91577,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91512,43835,theory(equality)]) ).
cnf(91578,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91577,81909,theory(equality)]) ).
cnf(91579,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91578,190,theory(equality)]) ).
cnf(91580,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91579,189,theory(equality)]) ).
cnf(91581,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91580,188,theory(equality)]) ).
cnf(91582,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91581,186,theory(equality)]) ).
cnf(91583,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[91582,187,theory(equality)]) ).
cnf(91584,negated_conjecture,
( empty_carrier(esk21_0)
| ~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0) ),
inference(cn,[status(thm)],[91583,theory(equality)]) ).
cnf(91585,negated_conjecture,
~ in(esk17_4(esk21_0,esk22_0,esk23_0,esk24_1(esk14_3(esk21_0,esk22_0,esk23_0))),esk22_0),
inference(sr,[status(thm)],[91584,191,theory(equality)]) ).
cnf(91778,negated_conjecture,
( empty_carrier(esk21_0)
| esk9_3(esk21_0,esk22_0,esk23_0) != esk8_3(esk21_0,esk22_0,esk23_0)
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(spm,[status(thm)],[91585,99,theory(equality)]) ).
cnf(91843,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| ~ in(esk24_1(esk14_3(esk21_0,esk22_0,esk23_0)),esk14_3(esk21_0,esk22_0,esk23_0))
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91778,43835,theory(equality)]) ).
cnf(91844,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| ~ transitive_relstr(esk21_0)
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91843,81909,theory(equality)]) ).
cnf(91845,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| $false
| ~ rel_str(esk21_0)
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91844,190,theory(equality)]) ).
cnf(91846,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| ~ element(esk22_0,powerset(the_carrier(esk21_0)))
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91845,189,theory(equality)]) ).
cnf(91847,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false
| ~ element(esk23_0,powerset(esk22_0))
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91846,188,theory(equality)]) ).
cnf(91848,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ finite(esk23_0) ),
inference(rw,[status(thm)],[91847,186,theory(equality)]) ).
cnf(91849,negated_conjecture,
( empty_carrier(esk21_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[91848,187,theory(equality)]) ).
cnf(91850,negated_conjecture,
empty_carrier(esk21_0),
inference(cn,[status(thm)],[91849,theory(equality)]) ).
cnf(91851,negated_conjecture,
$false,
inference(sr,[status(thm)],[91850,191,theory(equality)]) ).
cnf(91852,negated_conjecture,
$false,
91851,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU364+1.p
% --creating new selector for []
% -running prover on /tmp/tmpPVjcgf/sel_SEU364+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU364+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU364+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU364+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
%
%------------------------------------------------------------------------------