TSTP Solution File: SEU297+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU297+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 06:56:23 EST 2010
% Result : Theorem 0.43s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 2
% Syntax : Number of formulae : 117 ( 10 unt; 0 def)
% Number of atoms : 737 ( 158 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 971 ( 351 ~; 527 |; 85 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 189 ( 0 sgn 45 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& in(relation_image(X3,X5),X2)
& X4 = X6
& in(relation_image(X3,X6),X2) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(relation_dom(X3)))
& X6 = X5
& in(relation_image(X3,X5),X2) ) ) ) ),
file('/tmp/tmpDAW937/sel_SEU297+1.p_1',s1_tarski__e6_27__finset_1__1) ).
fof(25,conjecture,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
file('/tmp/tmpDAW937/sel_SEU297+1.p_1',s1_xboole_0__e6_27__finset_1) ).
fof(38,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(113,plain,
! [X1,X2,X3] :
( ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3)
| ? [X4,X5,X6] :
( X4 = X5
& in(relation_image(X3,X5),X2)
& X4 = X6
& in(relation_image(X3,X6),X2)
& X5 != X6 )
| ? [X4] :
! [X5] :
( ( ~ in(X5,X4)
| ? [X6] :
( in(X6,powerset(relation_dom(X3)))
& X6 = X5
& in(relation_image(X3,X5),X2) ) )
& ( ! [X6] :
( ~ in(X6,powerset(relation_dom(X3)))
| X6 != X5
| ~ in(relation_image(X3,X5),X2) )
| in(X5,X4) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(114,plain,
! [X7,X8,X9] :
( ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9)
| ? [X10,X11,X12] :
( X10 = X11
& in(relation_image(X9,X11),X8)
& X10 = X12
& in(relation_image(X9,X12),X8)
& X11 != X12 )
| ? [X13] :
! [X14] :
( ( ~ in(X14,X13)
| ? [X15] :
( in(X15,powerset(relation_dom(X9)))
& X15 = X14
& in(relation_image(X9,X14),X8) ) )
& ( ! [X16] :
( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8) )
| in(X14,X13) ) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X7,X8,X9] :
( ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9)
| ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
& in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
& esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
& in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
& esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9) )
| ! [X14] :
( ( ~ in(X14,esk10_3(X7,X8,X9))
| ( in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
& esk11_4(X7,X8,X9,X14) = X14
& in(relation_image(X9,X14),X8) ) )
& ( ! [X16] :
( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8) )
| in(X14,esk10_3(X7,X8,X9)) ) ) ),
inference(skolemize,[status(esa)],[114]) ).
fof(116,plain,
! [X7,X8,X9,X14,X16] :
( ( ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9)) )
& ( ~ in(X14,esk10_3(X7,X8,X9))
| ( in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
& esk11_4(X7,X8,X9,X14) = X14
& in(relation_image(X9,X14),X8) ) ) )
| ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
& in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
& esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
& in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
& esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9) )
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) ),
inference(shift_quantors,[status(thm)],[115]) ).
fof(117,plain,
! [X7,X8,X9,X14,X16] :
( ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
| ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
| ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
| ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
| ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9)
| ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
| in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
| in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
| in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
| in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9)
| in(esk11_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
| esk11_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
| esk11_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
| esk11_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
| esk11_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9)
| esk11_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk8_3(X7,X8,X9)
| in(relation_image(X9,X14),X8)
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk8_3(X7,X8,X9)),X8)
| in(relation_image(X9,X14),X8)
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk7_3(X7,X8,X9) = esk9_3(X7,X8,X9)
| in(relation_image(X9,X14),X8)
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,esk9_3(X7,X8,X9)),X8)
| in(relation_image(X9,X14),X8)
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk8_3(X7,X8,X9) != esk9_3(X7,X8,X9)
| in(relation_image(X9,X14),X8)
| ~ in(X14,esk10_3(X7,X8,X9))
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) ) ),
inference(distribute,[status(thm)],[116]) ).
cnf(118,plain,
( in(relation_image(X1,X4),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(120,plain,
( in(relation_image(X1,X4),X2)
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(122,plain,
( in(relation_image(X1,X4),X2)
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(123,plain,
( esk11_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(125,plain,
( esk11_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(127,plain,
( esk11_4(X3,X2,X1,X4) = X4
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(128,plain,
( in(esk11_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(130,plain,
( in(esk11_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(132,plain,
( in(esk11_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk10_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(133,plain,
( in(X4,esk10_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1)))
| esk8_3(X3,X2,X1) != esk9_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(135,plain,
( in(X4,esk10_3(X3,X2,X1))
| esk7_3(X3,X2,X1) = esk9_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1))) ),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(137,plain,
( in(X4,esk10_3(X3,X2,X1))
| esk7_3(X3,X2,X1) = esk8_3(X3,X2,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1))) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(183,negated_conjecture,
? [X1,X2,X3] :
( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3)
& ! [X4] :
? [X5] :
( ( ~ in(X5,X4)
| ~ in(X5,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X5),X2) )
& ( in(X5,X4)
| ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(184,negated_conjecture,
? [X6,X7,X8] :
( element(X7,powerset(powerset(X6)))
& relation(X8)
& function(X8)
& ! [X9] :
? [X10] :
( ( ~ in(X10,X9)
| ~ in(X10,powerset(relation_dom(X8)))
| ~ in(relation_image(X8,X10),X7) )
& ( in(X10,X9)
| ( in(X10,powerset(relation_dom(X8)))
& in(relation_image(X8,X10),X7) ) ) ) ),
inference(variable_rename,[status(thm)],[183]) ).
fof(185,negated_conjecture,
( element(esk18_0,powerset(powerset(esk17_0)))
& relation(esk19_0)
& function(esk19_0)
& ! [X9] :
( ( ~ in(esk20_1(X9),X9)
| ~ in(esk20_1(X9),powerset(relation_dom(esk19_0)))
| ~ in(relation_image(esk19_0,esk20_1(X9)),esk18_0) )
& ( in(esk20_1(X9),X9)
| ( in(esk20_1(X9),powerset(relation_dom(esk19_0)))
& in(relation_image(esk19_0,esk20_1(X9)),esk18_0) ) ) ) ),
inference(skolemize,[status(esa)],[184]) ).
fof(186,negated_conjecture,
! [X9] :
( ( ~ in(esk20_1(X9),X9)
| ~ in(esk20_1(X9),powerset(relation_dom(esk19_0)))
| ~ in(relation_image(esk19_0,esk20_1(X9)),esk18_0) )
& ( in(esk20_1(X9),X9)
| ( in(esk20_1(X9),powerset(relation_dom(esk19_0)))
& in(relation_image(esk19_0,esk20_1(X9)),esk18_0) ) )
& element(esk18_0,powerset(powerset(esk17_0)))
& relation(esk19_0)
& function(esk19_0) ),
inference(shift_quantors,[status(thm)],[185]) ).
fof(187,negated_conjecture,
! [X9] :
( ( ~ in(esk20_1(X9),X9)
| ~ in(esk20_1(X9),powerset(relation_dom(esk19_0)))
| ~ in(relation_image(esk19_0,esk20_1(X9)),esk18_0) )
& ( in(esk20_1(X9),powerset(relation_dom(esk19_0)))
| in(esk20_1(X9),X9) )
& ( in(relation_image(esk19_0,esk20_1(X9)),esk18_0)
| in(esk20_1(X9),X9) )
& element(esk18_0,powerset(powerset(esk17_0)))
& relation(esk19_0)
& function(esk19_0) ),
inference(distribute,[status(thm)],[186]) ).
cnf(188,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(189,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(190,negated_conjecture,
element(esk18_0,powerset(powerset(esk17_0))),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(191,negated_conjecture,
( in(esk20_1(X1),X1)
| in(relation_image(esk19_0,esk20_1(X1)),esk18_0) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(192,negated_conjecture,
( in(esk20_1(X1),X1)
| in(esk20_1(X1),powerset(relation_dom(esk19_0))) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(193,negated_conjecture,
( ~ in(relation_image(esk19_0,esk20_1(X1)),esk18_0)
| ~ in(esk20_1(X1),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(305,negated_conjecture,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(relation_image(X3,esk20_1(esk10_3(X1,X2,X3))),X2)
| in(relation_image(esk19_0,esk20_1(esk10_3(X1,X2,X3))),esk18_0)
| ~ element(X2,powerset(powerset(X1)))
| ~ function(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[122,191,theory(equality)]) ).
cnf(326,plain,
( esk7_3(X1,X2,X3) = esk8_3(X1,X2,X3)
| in(X4,esk10_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ function(X3)
| ~ relation(X3) ),
inference(er,[status(thm)],[137,theory(equality)]) ).
cnf(349,plain,
( esk7_3(X1,X2,X3) = esk9_3(X1,X2,X3)
| in(X4,esk10_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ function(X3)
| ~ relation(X3) ),
inference(er,[status(thm)],[135,theory(equality)]) ).
cnf(351,plain,
( in(X4,powerset(relation_dom(X3)))
| esk9_3(X1,X2,X3) != esk8_3(X1,X2,X3)
| ~ in(X4,esk10_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ function(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[128,123,theory(equality)]) ).
cnf(352,plain,
( in(X1,esk10_3(X2,X3,X4))
| esk9_3(X2,X3,X4) != esk8_3(X2,X3,X4)
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3)
| ~ element(X3,powerset(powerset(X2)))
| ~ function(X4)
| ~ relation(X4) ),
inference(er,[status(thm)],[133,theory(equality)]) ).
cnf(504,negated_conjecture,
( esk7_3(esk17_0,esk18_0,X1) = esk8_3(esk17_0,esk18_0,X1)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,X1))),esk18_0)
| in(relation_image(X1,esk20_1(esk10_3(esk17_0,esk18_0,X1))),esk18_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[305,190,theory(equality)]) ).
cnf(684,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[504,188,theory(equality)]) ).
cnf(691,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| $false ),
inference(rw,[status(thm)],[684,189,theory(equality)]) ).
cnf(692,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0) ),
inference(cn,[status(thm)],[691,theory(equality)]) ).
cnf(730,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk8_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[326,192,theory(equality)]) ).
cnf(755,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk8_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[730,188,theory(equality)]) ).
cnf(756,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk8_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| $false
| $false ),
inference(rw,[status(thm)],[755,189,theory(equality)]) ).
cnf(757,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk8_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cn,[status(thm)],[756,theory(equality)]) ).
cnf(1085,negated_conjecture,
( esk7_3(X1,esk18_0,esk19_0) = esk8_3(X1,esk18_0,esk19_0)
| in(esk20_1(X2),esk10_3(X1,esk18_0,esk19_0))
| in(esk20_1(X2),X2)
| ~ element(esk18_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[757,191,theory(equality)]) ).
cnf(1173,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1) ),
inference(spm,[status(thm)],[1085,190,theory(equality)]) ).
cnf(1174,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(ef,[status(thm)],[1173,theory(equality)]) ).
cnf(1494,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[127,1174,theory(equality)]) ).
cnf(1521,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1494,190,theory(equality)]) ).
cnf(1522,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1521,188,theory(equality)]) ).
cnf(1523,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1522,189,theory(equality)]) ).
cnf(1524,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(cn,[status(thm)],[1523,theory(equality)]) ).
cnf(1631,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[132,1524,theory(equality)]) ).
cnf(1641,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1631,190,theory(equality)]) ).
cnf(1642,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1641,188,theory(equality)]) ).
cnf(1643,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1642,189,theory(equality)]) ).
cnf(1644,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(cn,[status(thm)],[1643,theory(equality)]) ).
cnf(1724,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk9_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[349,192,theory(equality)]) ).
cnf(1754,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk9_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1724,188,theory(equality)]) ).
cnf(1755,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk9_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1)))
| $false
| $false ),
inference(rw,[status(thm)],[1754,189,theory(equality)]) ).
cnf(1756,negated_conjecture,
( esk7_3(X1,X2,esk19_0) = esk9_3(X1,X2,esk19_0)
| in(esk20_1(X3),esk10_3(X1,X2,esk19_0))
| in(esk20_1(X3),X3)
| ~ in(relation_image(esk19_0,esk20_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cn,[status(thm)],[1755,theory(equality)]) ).
cnf(1920,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0))) ),
inference(csr,[status(thm)],[1644,192]) ).
cnf(1922,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(spm,[status(thm)],[193,1920,theory(equality)]) ).
cnf(1940,negated_conjecture,
( in(esk20_1(X1),esk10_3(X2,X3,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(X2,X3,esk19_0) != esk8_3(X2,X3,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[352,192,theory(equality)]) ).
cnf(1970,negated_conjecture,
( in(esk20_1(X1),esk10_3(X2,X3,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(X2,X3,esk19_0) != esk8_3(X2,X3,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2)))
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[1940,188,theory(equality)]) ).
cnf(1971,negated_conjecture,
( in(esk20_1(X1),esk10_3(X2,X3,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(X2,X3,esk19_0) != esk8_3(X2,X3,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2)))
| $false
| $false ),
inference(rw,[status(thm)],[1970,189,theory(equality)]) ).
cnf(1972,negated_conjecture,
( in(esk20_1(X1),esk10_3(X2,X3,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(X2,X3,esk19_0) != esk8_3(X2,X3,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2))) ),
inference(cn,[status(thm)],[1971,theory(equality)]) ).
cnf(2024,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0) ),
inference(csr,[status(thm)],[1922,1174]) ).
cnf(2025,negated_conjecture,
esk7_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0),
inference(csr,[status(thm)],[2024,692]) ).
cnf(3483,negated_conjecture,
( esk7_3(X1,esk18_0,esk19_0) = esk9_3(X1,esk18_0,esk19_0)
| in(esk20_1(X2),esk10_3(X1,esk18_0,esk19_0))
| in(esk20_1(X2),X2)
| ~ element(esk18_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[1756,191,theory(equality)]) ).
cnf(3568,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1) ),
inference(spm,[status(thm)],[3483,190,theory(equality)]) ).
cnf(3569,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1) ),
inference(rw,[status(thm)],[3568,2025,theory(equality)]) ).
cnf(3570,negated_conjecture,
( esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(ef,[status(thm)],[3569,theory(equality)]) ).
cnf(3693,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[120,3570,theory(equality)]) ).
cnf(3696,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[125,3570,theory(equality)]) ).
cnf(3717,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3693,2025,theory(equality)]) ).
cnf(3718,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3717,190,theory(equality)]) ).
cnf(3719,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3718,188,theory(equality)]) ).
cnf(3720,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3719,189,theory(equality)]) ).
cnf(3721,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0) ),
inference(cn,[status(thm)],[3720,theory(equality)]) ).
cnf(3731,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3696,2025,theory(equality)]) ).
cnf(3732,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3731,190,theory(equality)]) ).
cnf(3733,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3732,188,theory(equality)]) ).
cnf(3734,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3733,189,theory(equality)]) ).
cnf(3735,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| esk11_4(esk17_0,esk18_0,esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))) = esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(cn,[status(thm)],[3734,theory(equality)]) ).
cnf(3866,negated_conjecture,
( esk7_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[130,3735,theory(equality)]) ).
cnf(3880,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3866,2025,theory(equality)]) ).
cnf(3881,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3880,190,theory(equality)]) ).
cnf(3882,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[3881,188,theory(equality)]) ).
cnf(3883,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3882,189,theory(equality)]) ).
cnf(3884,negated_conjecture,
( esk8_3(esk17_0,esk18_0,esk19_0) = esk9_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(cn,[status(thm)],[3883,theory(equality)]) ).
cnf(3940,negated_conjecture,
( esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0))) ),
inference(csr,[status(thm)],[3884,192]) ).
cnf(3942,negated_conjecture,
( esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(spm,[status(thm)],[193,3940,theory(equality)]) ).
cnf(3981,negated_conjecture,
( esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0)
| ~ in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0) ),
inference(csr,[status(thm)],[3942,3570]) ).
cnf(3982,negated_conjecture,
esk9_3(esk17_0,esk18_0,esk19_0) = esk8_3(esk17_0,esk18_0,esk19_0),
inference(csr,[status(thm)],[3981,3721]) ).
cnf(3999,negated_conjecture,
( in(esk20_1(X1),esk10_3(X2,esk18_0,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(X2,esk18_0,esk19_0) != esk8_3(X2,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(X2))) ),
inference(spm,[status(thm)],[1972,191,theory(equality)]) ).
cnf(4092,negated_conjecture,
( in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1)
| esk9_3(esk17_0,esk18_0,esk19_0) != esk8_3(esk17_0,esk18_0,esk19_0) ),
inference(spm,[status(thm)],[3999,190,theory(equality)]) ).
cnf(4093,negated_conjecture,
( in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1)
| $false ),
inference(rw,[status(thm)],[4092,3982,theory(equality)]) ).
cnf(4094,negated_conjecture,
( in(esk20_1(X1),esk10_3(esk17_0,esk18_0,esk19_0))
| in(esk20_1(X1),X1) ),
inference(cn,[status(thm)],[4093,theory(equality)]) ).
cnf(4095,negated_conjecture,
in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)),
inference(ef,[status(thm)],[4094,theory(equality)]) ).
cnf(4225,negated_conjecture,
( in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| esk9_3(esk17_0,esk18_0,esk19_0) != esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[118,4095,theory(equality)]) ).
cnf(4230,negated_conjecture,
( in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| esk9_3(esk17_0,esk18_0,esk19_0) != esk8_3(esk17_0,esk18_0,esk19_0)
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(spm,[status(thm)],[351,4095,theory(equality)]) ).
cnf(4254,negated_conjecture,
( in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| $false
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4225,3982,theory(equality)]) ).
cnf(4255,negated_conjecture,
( in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| $false
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4254,190,theory(equality)]) ).
cnf(4256,negated_conjecture,
( in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| $false
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4255,188,theory(equality)]) ).
cnf(4257,negated_conjecture,
( in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4256,189,theory(equality)]) ).
cnf(4258,negated_conjecture,
in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0),
inference(cn,[status(thm)],[4257,theory(equality)]) ).
cnf(4278,negated_conjecture,
( in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| $false
| ~ element(esk18_0,powerset(powerset(esk17_0)))
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4230,3982,theory(equality)]) ).
cnf(4279,negated_conjecture,
( in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| $false
| $false
| ~ function(esk19_0)
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4278,190,theory(equality)]) ).
cnf(4280,negated_conjecture,
( in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| $false
| $false
| $false
| ~ relation(esk19_0) ),
inference(rw,[status(thm)],[4279,188,theory(equality)]) ).
cnf(4281,negated_conjecture,
( in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0)))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4280,189,theory(equality)]) ).
cnf(4282,negated_conjecture,
in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),powerset(relation_dom(esk19_0))),
inference(cn,[status(thm)],[4281,theory(equality)]) ).
cnf(4320,negated_conjecture,
( ~ in(relation_image(esk19_0,esk20_1(esk10_3(esk17_0,esk18_0,esk19_0))),esk18_0)
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(spm,[status(thm)],[193,4282,theory(equality)]) ).
cnf(4326,negated_conjecture,
( $false
| ~ in(esk20_1(esk10_3(esk17_0,esk18_0,esk19_0)),esk10_3(esk17_0,esk18_0,esk19_0)) ),
inference(rw,[status(thm)],[4320,4258,theory(equality)]) ).
cnf(4327,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[4326,4095,theory(equality)]) ).
cnf(4328,negated_conjecture,
$false,
inference(cn,[status(thm)],[4327,theory(equality)]) ).
cnf(4329,negated_conjecture,
$false,
4328,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU297+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDAW937/sel_SEU297+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU297+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU297+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU297+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
%
%------------------------------------------------------------------------------