TSTP Solution File: SEU298+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU298+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 06:57:08 EST 2010
% Result : Theorem 1.59s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 2
% Syntax : Number of formulae : 117 ( 8 unt; 0 def)
% Number of atoms : 820 ( 264 equ)
% Maximal formula atoms : 196 ( 7 avg)
% Number of connectives : 1162 ( 459 ~; 581 |; 114 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 248 ( 0 sgn 47 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,conjecture,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
file('/tmp/tmpB9Za60/sel_SEU298+1.p_1',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(35,axiom,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( in(X6,X2)
& X4 = set_difference(X6,singleton(X1)) )
& X3 = X5
& ? [X7] :
( in(X7,X2)
& X5 = set_difference(X7,singleton(X1)) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(X1))
& X5 = X4
& ? [X8] :
( in(X8,X2)
& X4 = set_difference(X8,singleton(X1)) ) ) ) ) ),
file('/tmp/tmpB9Za60/sel_SEU298+1.p_1',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(43,negated_conjecture,
~ ! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
inference(assume_negation,[status(cth)],[8]) ).
fof(92,negated_conjecture,
? [X1,X2] :
( ordinal(X1)
& element(X2,powerset(powerset(succ(X1))))
& ! [X3] :
? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,powerset(X1))
| ! [X5] :
( ~ in(X5,X2)
| X4 != set_difference(X5,singleton(X1)) ) )
& ( in(X4,X3)
| ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(93,negated_conjecture,
? [X6,X7] :
( ordinal(X6)
& element(X7,powerset(powerset(succ(X6))))
& ! [X8] :
? [X9] :
( ( ~ in(X9,X8)
| ~ in(X9,powerset(X6))
| ! [X10] :
( ~ in(X10,X7)
| X9 != set_difference(X10,singleton(X6)) ) )
& ( in(X9,X8)
| ( in(X9,powerset(X6))
& ? [X11] :
( in(X11,X7)
& X9 = set_difference(X11,singleton(X6)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[92]) ).
fof(94,negated_conjecture,
( ordinal(esk6_0)
& element(esk7_0,powerset(powerset(succ(esk6_0))))
& ! [X8] :
( ( ~ in(esk8_1(X8),X8)
| ~ in(esk8_1(X8),powerset(esk6_0))
| ! [X10] :
( ~ in(X10,esk7_0)
| esk8_1(X8) != set_difference(X10,singleton(esk6_0)) ) )
& ( in(esk8_1(X8),X8)
| ( in(esk8_1(X8),powerset(esk6_0))
& in(esk9_1(X8),esk7_0)
& esk8_1(X8) = set_difference(esk9_1(X8),singleton(esk6_0)) ) ) ) ),
inference(skolemize,[status(esa)],[93]) ).
fof(95,negated_conjecture,
! [X8,X10] :
( ( ~ in(X10,esk7_0)
| esk8_1(X8) != set_difference(X10,singleton(esk6_0))
| ~ in(esk8_1(X8),powerset(esk6_0))
| ~ in(esk8_1(X8),X8) )
& ( in(esk8_1(X8),X8)
| ( in(esk8_1(X8),powerset(esk6_0))
& in(esk9_1(X8),esk7_0)
& esk8_1(X8) = set_difference(esk9_1(X8),singleton(esk6_0)) ) )
& ordinal(esk6_0)
& element(esk7_0,powerset(powerset(succ(esk6_0)))) ),
inference(shift_quantors,[status(thm)],[94]) ).
fof(96,negated_conjecture,
! [X8,X10] :
( ( ~ in(X10,esk7_0)
| esk8_1(X8) != set_difference(X10,singleton(esk6_0))
| ~ in(esk8_1(X8),powerset(esk6_0))
| ~ in(esk8_1(X8),X8) )
& ( in(esk8_1(X8),powerset(esk6_0))
| in(esk8_1(X8),X8) )
& ( in(esk9_1(X8),esk7_0)
| in(esk8_1(X8),X8) )
& ( esk8_1(X8) = set_difference(esk9_1(X8),singleton(esk6_0))
| in(esk8_1(X8),X8) )
& ordinal(esk6_0)
& element(esk7_0,powerset(powerset(succ(esk6_0)))) ),
inference(distribute,[status(thm)],[95]) ).
cnf(97,negated_conjecture,
element(esk7_0,powerset(powerset(succ(esk6_0)))),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(98,negated_conjecture,
ordinal(esk6_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(99,negated_conjecture,
( in(esk8_1(X1),X1)
| esk8_1(X1) = set_difference(esk9_1(X1),singleton(esk6_0)) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,negated_conjecture,
( in(esk8_1(X1),X1)
| in(esk9_1(X1),esk7_0) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(101,negated_conjecture,
( in(esk8_1(X1),X1)
| in(esk8_1(X1),powerset(esk6_0)) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(102,negated_conjecture,
( ~ in(esk8_1(X1),X1)
| ~ in(esk8_1(X1),powerset(esk6_0))
| esk8_1(X1) != set_difference(X2,singleton(esk6_0))
| ~ in(X2,esk7_0) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(217,plain,
! [X1,X2] :
( ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1))))
| ? [X3,X4,X5] :
( X3 = X4
& ? [X6] :
( in(X6,X2)
& X4 = set_difference(X6,singleton(X1)) )
& X3 = X5
& ? [X7] :
( in(X7,X2)
& X5 = set_difference(X7,singleton(X1)) )
& X4 != X5 )
| ? [X3] :
! [X4] :
( ( ~ in(X4,X3)
| ? [X5] :
( in(X5,powerset(X1))
& X5 = X4
& ? [X8] :
( in(X8,X2)
& X4 = set_difference(X8,singleton(X1)) ) ) )
& ( ! [X5] :
( ~ in(X5,powerset(X1))
| X5 != X4
| ! [X8] :
( ~ in(X8,X2)
| X4 != set_difference(X8,singleton(X1)) ) )
| in(X4,X3) ) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(218,plain,
! [X9,X10] :
( ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9))))
| ? [X11,X12,X13] :
( X11 = X12
& ? [X14] :
( in(X14,X10)
& X12 = set_difference(X14,singleton(X9)) )
& X11 = X13
& ? [X15] :
( in(X15,X10)
& X13 = set_difference(X15,singleton(X9)) )
& X12 != X13 )
| ? [X16] :
! [X17] :
( ( ~ in(X17,X16)
| ? [X18] :
( in(X18,powerset(X9))
& X18 = X17
& ? [X19] :
( in(X19,X10)
& X17 = set_difference(X19,singleton(X9)) ) ) )
& ( ! [X20] :
( ~ in(X20,powerset(X9))
| X20 != X17
| ! [X21] :
( ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9)) ) )
| in(X17,X16) ) ) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,plain,
! [X9,X10] :
( ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9))))
| ( esk18_2(X9,X10) = esk19_2(X9,X10)
& in(esk21_2(X9,X10),X10)
& esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
& esk18_2(X9,X10) = esk20_2(X9,X10)
& in(esk22_2(X9,X10),X10)
& esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
& esk19_2(X9,X10) != esk20_2(X9,X10) )
| ! [X17] :
( ( ~ in(X17,esk23_2(X9,X10))
| ( in(esk24_3(X9,X10,X17),powerset(X9))
& esk24_3(X9,X10,X17) = X17
& in(esk25_3(X9,X10,X17),X10)
& X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9)) ) )
& ( ! [X20] :
( ~ in(X20,powerset(X9))
| X20 != X17
| ! [X21] :
( ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9)) ) )
| in(X17,esk23_2(X9,X10)) ) ) ),
inference(skolemize,[status(esa)],[218]) ).
fof(220,plain,
! [X9,X10,X17,X20,X21] :
( ( ( ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10)) )
& ( ~ in(X17,esk23_2(X9,X10))
| ( in(esk24_3(X9,X10,X17),powerset(X9))
& esk24_3(X9,X10,X17) = X17
& in(esk25_3(X9,X10,X17),X10)
& X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9)) ) ) )
| ( esk18_2(X9,X10) = esk19_2(X9,X10)
& in(esk21_2(X9,X10),X10)
& esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
& esk18_2(X9,X10) = esk20_2(X9,X10)
& in(esk22_2(X9,X10),X10)
& esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
& esk19_2(X9,X10) != esk20_2(X9,X10) )
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) ),
inference(shift_quantors,[status(thm)],[219]) ).
fof(221,plain,
! [X9,X10,X17,X20,X21] :
( ( esk18_2(X9,X10) = esk19_2(X9,X10)
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk21_2(X9,X10),X10)
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk20_2(X9,X10)
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk22_2(X9,X10),X10)
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) != esk20_2(X9,X10)
| ~ in(X21,X10)
| X17 != set_difference(X21,singleton(X9))
| ~ in(X20,powerset(X9))
| X20 != X17
| in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk19_2(X9,X10)
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk21_2(X9,X10),X10)
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk20_2(X9,X10)
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk22_2(X9,X10),X10)
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) != esk20_2(X9,X10)
| in(esk24_3(X9,X10,X17),powerset(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk19_2(X9,X10)
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk21_2(X9,X10),X10)
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk20_2(X9,X10)
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk22_2(X9,X10),X10)
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) != esk20_2(X9,X10)
| esk24_3(X9,X10,X17) = X17
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk19_2(X9,X10)
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk21_2(X9,X10),X10)
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk20_2(X9,X10)
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk22_2(X9,X10),X10)
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) != esk20_2(X9,X10)
| in(esk25_3(X9,X10,X17),X10)
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk19_2(X9,X10)
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk21_2(X9,X10),X10)
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) = set_difference(esk21_2(X9,X10),singleton(X9))
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk18_2(X9,X10) = esk20_2(X9,X10)
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( in(esk22_2(X9,X10),X10)
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk20_2(X9,X10) = set_difference(esk22_2(X9,X10),singleton(X9))
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) )
& ( esk19_2(X9,X10) != esk20_2(X9,X10)
| X17 = set_difference(esk25_3(X9,X10,X17),singleton(X9))
| ~ in(X17,esk23_2(X9,X10))
| ~ ordinal(X9)
| ~ element(X10,powerset(powerset(succ(X9)))) ) ),
inference(distribute,[status(thm)],[220]) ).
cnf(222,plain,
( X3 = set_difference(esk25_3(X2,X1,X3),singleton(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1))
| esk19_2(X2,X1) != esk20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(225,plain,
( X3 = set_difference(esk25_3(X2,X1,X3),singleton(X2))
| esk18_2(X2,X1) = esk20_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(228,plain,
( X3 = set_difference(esk25_3(X2,X1,X3),singleton(X2))
| esk18_2(X2,X1) = esk19_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(229,plain,
( in(esk25_3(X2,X1,X3),X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1))
| esk19_2(X2,X1) != esk20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(232,plain,
( in(esk25_3(X2,X1,X3),X1)
| esk18_2(X2,X1) = esk20_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(235,plain,
( in(esk25_3(X2,X1,X3),X1)
| esk18_2(X2,X1) = esk19_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(236,plain,
( esk24_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1))
| esk19_2(X2,X1) != esk20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(239,plain,
( esk24_3(X2,X1,X3) = X3
| esk18_2(X2,X1) = esk20_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(242,plain,
( esk24_3(X2,X1,X3) = X3
| esk18_2(X2,X1) = esk19_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(243,plain,
( in(esk24_3(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1))
| esk19_2(X2,X1) != esk20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(246,plain,
( in(esk24_3(X2,X1,X3),powerset(X2))
| esk18_2(X2,X1) = esk20_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(249,plain,
( in(esk24_3(X2,X1,X3),powerset(X2))
| esk18_2(X2,X1) = esk19_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| ~ in(X3,esk23_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(250,plain,
( in(X3,esk23_2(X2,X1))
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| X4 != X3
| ~ in(X4,powerset(X2))
| X3 != set_difference(X5,singleton(X2))
| ~ in(X5,X1)
| esk19_2(X2,X1) != esk20_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(253,plain,
( in(X3,esk23_2(X2,X1))
| esk18_2(X2,X1) = esk20_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| X4 != X3
| ~ in(X4,powerset(X2))
| X3 != set_difference(X5,singleton(X2))
| ~ in(X5,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(256,plain,
( in(X3,esk23_2(X2,X1))
| esk18_2(X2,X1) = esk19_2(X2,X1)
| ~ element(X1,powerset(powerset(succ(X2))))
| ~ ordinal(X2)
| X4 != X3
| ~ in(X4,powerset(X2))
| X3 != set_difference(X5,singleton(X2))
| ~ in(X5,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(409,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[242,97,theory(equality)]) ).
cnf(414,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[409,98,theory(equality)]) ).
cnf(415,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[414,theory(equality)]) ).
cnf(418,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[239,97,theory(equality)]) ).
cnf(423,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[418,98,theory(equality)]) ).
cnf(424,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[423,theory(equality)]) ).
cnf(450,plain,
( esk18_2(X1,X2) = esk19_2(X1,X2)
| in(X3,esk23_2(X1,X2))
| set_difference(X4,singleton(X1)) != X3
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[256,theory(equality)]) ).
cnf(454,plain,
( in(X3,powerset(X1))
| esk20_2(X1,X2) != esk19_2(X1,X2)
| ~ in(X3,esk23_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[243,236,theory(equality)]) ).
cnf(479,plain,
( esk18_2(X1,X2) = esk20_2(X1,X2)
| in(X3,esk23_2(X1,X2))
| set_difference(X4,singleton(X1)) != X3
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[253,theory(equality)]) ).
cnf(536,plain,
( in(X1,esk23_2(X2,X3))
| esk20_2(X2,X3) != esk19_2(X2,X3)
| set_difference(X4,singleton(X2)) != X1
| ~ in(X1,powerset(X2))
| ~ in(X4,X3)
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ ordinal(X2) ),
inference(er,[status(thm)],[250,theory(equality)]) ).
cnf(950,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,esk8_1(esk23_2(esk6_0,esk7_0))) = esk8_1(esk23_2(esk6_0,esk7_0))
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0)) ),
inference(spm,[status(thm)],[415,101,theory(equality)]) ).
cnf(1306,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[249,950,theory(equality)]) ).
cnf(1316,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0))
| $false
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[1306,97,theory(equality)]) ).
cnf(1317,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[1316,98,theory(equality)]) ).
cnf(1318,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[1317,theory(equality)]) ).
cnf(1334,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0)) ),
inference(csr,[status(thm)],[1318,101]) ).
cnf(1336,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| set_difference(X1,singleton(esk6_0)) != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[102,1334,theory(equality)]) ).
cnf(1493,negated_conjecture,
( in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[454,97,theory(equality)]) ).
cnf(1498,negated_conjecture,
( in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[1493,98,theory(equality)]) ).
cnf(1499,negated_conjecture,
( in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[1498,theory(equality)]) ).
cnf(2358,plain,
( esk18_2(X1,X2) = esk19_2(X1,X2)
| in(set_difference(X3,singleton(X1)),esk23_2(X1,X2))
| ~ in(set_difference(X3,singleton(X1)),powerset(X1))
| ~ in(X3,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[450,theory(equality)]) ).
cnf(2842,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| in(X2,esk23_2(esk6_0,X1))
| in(esk8_1(X3),X3)
| esk8_1(X3) != X2
| ~ in(X2,powerset(esk6_0))
| ~ in(esk9_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[479,99,theory(equality)]) ).
cnf(2864,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| in(X2,esk23_2(esk6_0,X1))
| in(esk8_1(X3),X3)
| esk8_1(X3) != X2
| ~ in(X2,powerset(esk6_0))
| ~ in(esk9_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| $false ),
inference(rw,[status(thm)],[2842,98,theory(equality)]) ).
cnf(2865,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| in(X2,esk23_2(esk6_0,X1))
| in(esk8_1(X3),X3)
| esk8_1(X3) != X2
| ~ in(X2,powerset(esk6_0))
| ~ in(esk9_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(cn,[status(thm)],[2864,theory(equality)]) ).
cnf(3448,negated_conjecture,
( esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| in(esk8_1(X2),esk23_2(esk6_0,X1))
| in(esk8_1(X2),X2)
| ~ in(esk8_1(X2),powerset(esk6_0))
| ~ in(esk9_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[2358,99,theory(equality)]) ).
cnf(3551,negated_conjecture,
( esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| in(esk8_1(X2),esk23_2(esk6_0,X1))
| in(esk8_1(X2),X2)
| ~ in(esk8_1(X2),powerset(esk6_0))
| ~ in(esk9_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| $false ),
inference(rw,[status(thm)],[3448,98,theory(equality)]) ).
cnf(3552,negated_conjecture,
( esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| in(esk8_1(X2),esk23_2(esk6_0,X1))
| in(esk8_1(X2),X2)
| ~ in(esk8_1(X2),powerset(esk6_0))
| ~ in(esk9_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(cn,[status(thm)],[3551,theory(equality)]) ).
cnf(4716,negated_conjecture,
( esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| in(esk8_1(X2),esk23_2(esk6_0,X1))
| in(esk8_1(X2),X2)
| ~ in(esk9_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(csr,[status(thm)],[3552,101]) ).
cnf(4717,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(X1),esk23_2(esk6_0,esk7_0))
| in(esk8_1(X1),X1)
| ~ in(esk9_1(X1),esk7_0) ),
inference(spm,[status(thm)],[4716,97,theory(equality)]) ).
cnf(4724,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(X1),esk23_2(esk6_0,esk7_0))
| in(esk8_1(X1),X1) ),
inference(csr,[status(thm)],[4717,100]) ).
cnf(4725,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0)) ),
inference(ef,[status(thm)],[4724,theory(equality)]) ).
cnf(4840,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| set_difference(X1,singleton(esk6_0)) != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[1336,4725,theory(equality)]) ).
cnf(4899,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[4840,228,theory(equality)]) ).
cnf(4918,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| $false ),
inference(rw,[status(thm)],[4899,98,theory(equality)]) ).
cnf(4919,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| esk18_2(esk6_0,X1) = esk19_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(cn,[status(thm)],[4918,theory(equality)]) ).
cnf(4924,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| set_difference(X2,singleton(esk6_0)) != X1
| ~ in(X1,powerset(esk6_0))
| ~ in(X2,esk7_0)
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[536,97,theory(equality)]) ).
cnf(4929,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| set_difference(X2,singleton(esk6_0)) != X1
| ~ in(X1,powerset(esk6_0))
| ~ in(X2,esk7_0)
| $false ),
inference(rw,[status(thm)],[4924,98,theory(equality)]) ).
cnf(4930,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| set_difference(X2,singleton(esk6_0)) != X1
| ~ in(X1,powerset(esk6_0))
| ~ in(X2,esk7_0) ),
inference(cn,[status(thm)],[4929,theory(equality)]) ).
cnf(5143,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0))
| ~ in(esk9_1(X2),esk7_0) ),
inference(spm,[status(thm)],[4930,99,theory(equality)]) ).
cnf(6510,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0)) ),
inference(csr,[status(thm)],[5143,100]) ).
cnf(11652,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0)))) ),
inference(spm,[status(thm)],[2865,100,theory(equality)]) ).
cnf(11659,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0))
| $false ),
inference(rw,[status(thm)],[11652,97,theory(equality)]) ).
cnf(11660,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0)) ),
inference(cn,[status(thm)],[11659,theory(equality)]) ).
cnf(12213,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[4919,235,theory(equality)]) ).
cnf(12220,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[12213,97,theory(equality)]) ).
cnf(12221,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[12220,98,theory(equality)]) ).
cnf(12222,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[12221,theory(equality)]) ).
cnf(12245,negated_conjecture,
esk18_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0),
inference(spm,[status(thm)],[12222,4725,theory(equality)]) ).
cnf(12264,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0)) ),
inference(rw,[status(thm)],[11660,12245,theory(equality)]) ).
cnf(12344,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| esk24_3(esk6_0,esk7_0,X1) = X1
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(rw,[status(thm)],[424,12245,theory(equality)]) ).
cnf(12353,negated_conjecture,
( in(X1,esk23_2(esk6_0,esk7_0))
| in(esk8_1(X2),X2)
| esk8_1(X2) != X1
| ~ in(X1,powerset(esk6_0)) ),
inference(csr,[status(thm)],[12264,6510]) ).
cnf(12354,negated_conjecture,
( in(esk8_1(X1),esk23_2(esk6_0,esk7_0))
| in(esk8_1(X1),X1)
| ~ in(esk8_1(X1),powerset(esk6_0)) ),
inference(er,[status(thm)],[12353,theory(equality)]) ).
cnf(12355,negated_conjecture,
( in(esk8_1(X1),esk23_2(esk6_0,esk7_0))
| in(esk8_1(X1),X1) ),
inference(csr,[status(thm)],[12354,101]) ).
cnf(12356,negated_conjecture,
in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0)),
inference(ef,[status(thm)],[12355,theory(equality)]) ).
cnf(12561,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[246,12344,theory(equality)]) ).
cnf(12578,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[12561,12245,theory(equality)]) ).
cnf(12579,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[12578,97,theory(equality)]) ).
cnf(12580,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,powerset(esk6_0))
| esk20_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0)
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[12579,98,theory(equality)]) ).
cnf(12581,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| in(X1,powerset(esk6_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[12580,theory(equality)]) ).
cnf(12853,negated_conjecture,
( in(X1,powerset(esk6_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(csr,[status(thm)],[12581,1499]) ).
cnf(12854,negated_conjecture,
in(esk8_1(esk23_2(esk6_0,esk7_0)),powerset(esk6_0)),
inference(spm,[status(thm)],[12853,12356,theory(equality)]) ).
cnf(12874,negated_conjecture,
( set_difference(X1,singleton(esk6_0)) != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk8_1(esk23_2(esk6_0,esk7_0)),esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[102,12854,theory(equality)]) ).
cnf(12894,negated_conjecture,
( set_difference(X1,singleton(esk6_0)) != esk8_1(esk23_2(esk6_0,esk7_0))
| $false
| ~ in(X1,esk7_0) ),
inference(rw,[status(thm)],[12874,12356,theory(equality)]) ).
cnf(12895,negated_conjecture,
( set_difference(X1,singleton(esk6_0)) != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk7_0) ),
inference(cn,[status(thm)],[12894,theory(equality)]) ).
cnf(12900,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[12895,225,theory(equality)]) ).
cnf(12901,negated_conjecture,
( X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| esk20_2(esk6_0,X1) != esk19_2(esk6_0,X1)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[12895,222,theory(equality)]) ).
cnf(12914,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| $false ),
inference(rw,[status(thm)],[12900,98,theory(equality)]) ).
cnf(12915,negated_conjecture,
( esk18_2(esk6_0,X1) = esk20_2(esk6_0,X1)
| X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(cn,[status(thm)],[12914,theory(equality)]) ).
cnf(12916,negated_conjecture,
( X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| esk20_2(esk6_0,X1) != esk19_2(esk6_0,X1)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0))))
| $false ),
inference(rw,[status(thm)],[12901,98,theory(equality)]) ).
cnf(12917,negated_conjecture,
( X2 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(esk25_3(esk6_0,X1,X2),esk7_0)
| esk20_2(esk6_0,X1) != esk19_2(esk6_0,X1)
| ~ in(X2,esk23_2(esk6_0,X1))
| ~ element(X1,powerset(powerset(succ(esk6_0)))) ),
inference(cn,[status(thm)],[12916,theory(equality)]) ).
cnf(15100,negated_conjecture,
( esk18_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[12915,232,theory(equality)]) ).
cnf(15107,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[15100,12245,theory(equality)]) ).
cnf(15108,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[15107,97,theory(equality)]) ).
cnf(15109,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[15108,98,theory(equality)]) ).
cnf(15110,negated_conjecture,
( esk19_2(esk6_0,esk7_0) = esk20_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[15109,theory(equality)]) ).
cnf(15115,negated_conjecture,
esk20_2(esk6_0,esk7_0) = esk19_2(esk6_0,esk7_0),
inference(spm,[status(thm)],[15110,12356,theory(equality)]) ).
cnf(15931,negated_conjecture,
( esk20_2(esk6_0,esk7_0) != esk19_2(esk6_0,esk7_0)
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(spm,[status(thm)],[12917,229,theory(equality)]) ).
cnf(15943,negated_conjecture,
( $false
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| ~ element(esk7_0,powerset(powerset(succ(esk6_0))))
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[15931,15115,theory(equality)]) ).
cnf(15944,negated_conjecture,
( $false
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| ~ ordinal(esk6_0) ),
inference(rw,[status(thm)],[15943,97,theory(equality)]) ).
cnf(15945,negated_conjecture,
( $false
| X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[15944,98,theory(equality)]) ).
cnf(15946,negated_conjecture,
( X1 != esk8_1(esk23_2(esk6_0,esk7_0))
| ~ in(X1,esk23_2(esk6_0,esk7_0)) ),
inference(cn,[status(thm)],[15945,theory(equality)]) ).
cnf(15948,negated_conjecture,
$false,
inference(spm,[status(thm)],[15946,12356,theory(equality)]) ).
cnf(15962,negated_conjecture,
$false,
15948,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU298+1.p
% --creating new selector for []
% -running prover on /tmp/tmpB9Za60/sel_SEU298+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU298+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU298+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU298+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
%
%------------------------------------------------------------------------------