TSTP Solution File: NUM630+3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM630+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:56:43 EDT 2023
% Result : Theorem 134.92s 18.18s
% Output : CNFRefutation 134.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 28 unt; 0 def)
% Number of atoms : 930 ( 181 equ)
% Maximal formula atoms : 518 ( 13 avg)
% Number of connectives : 1313 ( 453 ~; 528 |; 259 &)
% ( 15 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn; 94 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__4854) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__4730) ).
fof(m__5182,hypothesis,
? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xp ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5182) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__4660) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5309) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X2))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
| szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__3821) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__4151) ).
fof(m__5585,hypothesis,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5585) ).
fof(m__,conjecture,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
=> ( ( aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) )
=> sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5164) ).
fof(m__5147,hypothesis,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5147) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',mConsDiff) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5078) ).
fof(m__5599,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xD) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p',m__5599) ).
fof(c_0_14,hypothesis,
! [X75] :
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X75,szDzozmdt0(xd))
| ~ aElementOf0(X75,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X75) = szDzizrdt0(xd)
| ~ aElementOf0(X75,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X75,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X75) != szDzizrdt0(xd)
| aElementOf0(X75,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4854])])])]) ).
fof(c_0_15,hypothesis,
! [X67,X68] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk17_2(X67,X68),X68)
| sbrdtbr0(X68) != xk
| ~ aSet0(X68)
| sdtlpdtrp0(xd,X67) = sdtlpdtrp0(sdtlpdtrp0(xC,X67),X68)
| ~ aElementOf0(X67,szNzAzT0) )
& ( ~ aElementOf0(esk17_2(X67,X68),sdtlpdtrp0(xN,szszuzczcdt0(X67)))
| sbrdtbr0(X68) != xk
| ~ aSet0(X68)
| sdtlpdtrp0(xd,X67) = sdtlpdtrp0(sdtlpdtrp0(xC,X67),X68)
| ~ aElementOf0(X67,szNzAzT0) )
& ( ~ aSubsetOf0(X68,sdtlpdtrp0(xN,szszuzczcdt0(X67)))
| sbrdtbr0(X68) != xk
| ~ aSet0(X68)
| sdtlpdtrp0(xd,X67) = sdtlpdtrp0(sdtlpdtrp0(xC,X67),X68)
| ~ aElementOf0(X67,szNzAzT0) )
& ( ~ aElementOf0(X68,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X67)),xk))
| ~ aSet0(X68)
| sdtlpdtrp0(xd,X67) = sdtlpdtrp0(sdtlpdtrp0(xC,X67),X68)
| ~ aElementOf0(X67,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
fof(c_0_16,hypothesis,
( aElementOf0(esk22_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk22_0) = xp ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5182])]) ).
fof(c_0_17,hypothesis,
! [X65,X66] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X65),sdtlpdtrp0(xN,X65))
| ~ aElementOf0(X65,szNzAzT0) )
& ( ~ aElementOf0(X66,sdtlpdtrp0(xN,X65))
| sdtlseqdt0(sdtlpdtrp0(xe,X65),X66)
| ~ aElementOf0(X65,szNzAzT0) )
& ( sdtlpdtrp0(xe,X65) = szmzizndt0(sdtlpdtrp0(xN,X65))
| ~ aElementOf0(X65,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).
cnf(c_0_18,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_21,hypothesis,
aElementOf0(esk22_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X1] :
( epred2_1(X1)
<=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_23,hypothesis,
! [X47,X48,X49] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X47)),sdtlpdtrp0(xN,X47))
| ~ aElementOf0(X47,szNzAzT0)
| ~ aElementOf0(X48,szNzAzT0)
| X47 = X48 )
& ( ~ aElementOf0(X49,sdtlpdtrp0(xN,X47))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X47)),X49)
| ~ aElementOf0(X47,szNzAzT0)
| ~ aElementOf0(X48,szNzAzT0)
| X47 = X48 )
& ( aElementOf0(esk13_2(X47,X48),sdtlpdtrp0(xN,X48))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X47)),sdtlpdtrp0(xN,X48))
| ~ aElementOf0(X47,szNzAzT0)
| ~ aElementOf0(X48,szNzAzT0)
| X47 = X48 )
& ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X47)),esk13_2(X47,X48))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X47)),sdtlpdtrp0(xN,X48))
| ~ aElementOf0(X47,szNzAzT0)
| ~ aElementOf0(X48,szNzAzT0)
| X47 = X48 )
& ( szmzizndt0(sdtlpdtrp0(xN,X47)) != szmzizndt0(sdtlpdtrp0(xN,X48))
| ~ aElementOf0(X47,szNzAzT0)
| ~ aElementOf0(X48,szNzAzT0)
| X47 = X48 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])])])])]) ).
cnf(c_0_24,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_26,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_27,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_28,hypothesis,
aElementOf0(esk22_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
fof(c_0_29,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_22]) ).
fof(c_0_30,plain,
! [X1] :
( epred2_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_31,hypothesis,
( X1 = X2
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_33,hypothesis,
aElementOf0(esk22_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,hypothesis,
sdtlpdtrp0(xe,esk22_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_35,hypothesis,
! [X98,X99] :
( ( ~ aElementOf0(X98,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X98) )
& aSet0(xD)
& ( aElement0(X99)
| ~ aElementOf0(X99,xD) )
& ( aElementOf0(X99,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X99,xD) )
& ( X99 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X99,xD) )
& ( ~ aElement0(X99)
| ~ aElementOf0(X99,sdtlpdtrp0(xN,xn))
| X99 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X99,xD) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5585])])])]) ).
fof(c_0_36,hypothesis,
! [X52] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X52,szNzAzT0)
| epred2_1(X52) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_37,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
=> ( ( aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) )
=> sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_38,hypothesis,
! [X92,X93] :
( aSet0(xP)
& ( ~ aElementOf0(X92,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X92) )
& ( aElement0(X93)
| ~ aElementOf0(X93,xP) )
& ( aElementOf0(X93,xQ)
| ~ aElementOf0(X93,xP) )
& ( X93 != szmzizndt0(xQ)
| ~ aElementOf0(X93,xP) )
& ( ~ aElement0(X93)
| ~ aElementOf0(X93,xQ)
| X93 = szmzizndt0(xQ)
| aElementOf0(X93,xP) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5164])])])]) ).
fof(c_0_39,hypothesis,
! [X91] :
( aElementOf0(xp,xQ)
& ( ~ aElementOf0(X91,xQ)
| sdtlseqdt0(xp,X91) )
& xp = szmzizndt0(xQ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])]) ).
fof(c_0_40,plain,
! [X249,X250,X251,X252,X253,X254,X255,X257,X258,X259,X260,X262,X263,X264] :
( ( aFunction0(sdtlpdtrp0(xC,X249))
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X250,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X250)
| ~ epred2_1(X249) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ epred2_1(X249) )
& ( aElement0(X251)
| ~ aElementOf0(X251,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ epred2_1(X249) )
& ( aElementOf0(X251,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X251,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ epred2_1(X249) )
& ( X251 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X251,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ epred2_1(X249) )
& ( ~ aElement0(X252)
| ~ aElementOf0(X252,sdtlpdtrp0(xN,X249))
| X252 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X252,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ epred2_1(X249) )
& ( aSet0(X253)
| ~ aElementOf0(X253,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X254,X253)
| aElementOf0(X254,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X253,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( aSubsetOf0(X253,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X253,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( sbrdtbr0(X253) = xk
| ~ aElementOf0(X253,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( aElementOf0(esk39_2(X249,X255),X255)
| ~ aSet0(X255)
| sbrdtbr0(X255) != xk
| aElementOf0(X255,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( ~ aElementOf0(esk39_2(X249,X255),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X255)
| sbrdtbr0(X255) != xk
| aElementOf0(X255,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( ~ aSubsetOf0(X255,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X255) != xk
| aElementOf0(X255,szDzozmdt0(sdtlpdtrp0(xC,X249)))
| ~ epred2_1(X249) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X249)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X258,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X258)
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(X259,sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| X259 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X259,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElement0(X260)
| ~ aElementOf0(X260,sdtlpdtrp0(xN,X249))
| X260 = szmzizndt0(sdtlpdtrp0(xN,X249))
| aElementOf0(X260,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| aElementOf0(esk40_2(X249,X257),X257)
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(esk40_2(X249,X257),sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aSubsetOf0(X257,sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))))
| sbrdtbr0(X257) != xk
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X249)),sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X262,sdtlpdtrp0(xN,X249))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X249)),X262)
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( aElementOf0(X263,X257)
| X263 = szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElementOf0(X263,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( ~ aElementOf0(X264,X257)
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( X264 != szmzizndt0(sdtlpdtrp0(xN,X249))
| ~ aElement0(X264)
| aElementOf0(X264,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X249),X257) = sdtlpdtrp0(xc,sdtpldt0(X257,szmzizndt0(sdtlpdtrp0(xN,X249))))
| ~ aElementOf0(X257,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X249),szmzizndt0(sdtlpdtrp0(xN,X249))),xk))
| ~ aSet0(X257)
| ~ epred2_1(X249) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).
cnf(c_0_41,hypothesis,
( X1 = xn
| szmzizndt0(sdtlpdtrp0(xN,X1)) != xp
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25])]) ).
cnf(c_0_42,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk22_0)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_33]),c_0_34]) ).
cnf(c_0_43,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,negated_conjecture,
! [X101,X102] :
( ( ~ aElementOf0(X101,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X101) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ( aElement0(X102)
| ~ aElementOf0(X102,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(X102,xP)
| X102 = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X102,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X102,xP)
| ~ aElement0(X102)
| aElementOf0(X102,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( X102 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElement0(X102)
| aElementOf0(X102,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_46,plain,
! [X192,X193] :
( ~ aSet0(X192)
| ~ aElementOf0(X193,X192)
| sdtpldt0(sdtmndt0(X192,X193),X193) = X192 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_47,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,hypothesis,
! [X85] :
( aSet0(xQ)
& ( ~ aElementOf0(X85,xQ)
| aElementOf0(X85,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])]) ).
cnf(c_0_50,plain,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,hypothesis,
esk22_0 = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33])]) ).
cnf(c_0_52,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(rw,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_53,hypothesis,
epred2_1(xn),
inference(spm,[status(thm)],[c_0_44,c_0_25]) ).
fof(c_0_54,hypothesis,
! [X100] :
( ( ~ aElementOf0(X100,xP)
| aElementOf0(X100,xD) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5599])])]) ).
cnf(c_0_55,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ~ aSet0(X2)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_61,hypothesis,
slbdtsldtrb0(xD,xk) = szDzozmdt0(sdtlpdtrp0(xC,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_42]),c_0_51]),c_0_52]),c_0_51]),c_0_51]),c_0_53])]) ).
cnf(c_0_62,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,xp)) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
cnf(c_0_64,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_65,hypothesis,
( sdtlpdtrp0(xc,sdtpldt0(X1,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xn)))
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_42]),c_0_51]),c_0_51]),c_0_53]),c_0_51]),c_0_52]),c_0_61])]) ).
cnf(c_0_66,hypothesis,
aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn))),
inference(rw,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_67,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_68,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(xc,xQ),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_64]),c_0_67])]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : NUM630+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 13:48:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.qiK7xcTAV9/E---3.1_12980.p
% 134.92/18.18 # Version: 3.1pre001
% 134.92/18.18 # Preprocessing class: FSLSSMSMSSSNFFN.
% 134.92/18.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 134.92/18.18 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 134.92/18.18 # Starting new_bool_3 with 300s (1) cores
% 134.92/18.18 # Starting new_bool_1 with 300s (1) cores
% 134.92/18.18 # Starting sh5l with 300s (1) cores
% 134.92/18.18 # new_bool_3 with pid 13060 completed with status 0
% 134.92/18.18 # Result found by new_bool_3
% 134.92/18.18 # Preprocessing class: FSLSSMSMSSSNFFN.
% 134.92/18.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 134.92/18.18 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 134.92/18.18 # Starting new_bool_3 with 300s (1) cores
% 134.92/18.18 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 134.92/18.18 # Search class: FGHSF-SMLM32-MFFFFFNN
% 134.92/18.18 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 134.92/18.18 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 181s (1) cores
% 134.92/18.18 # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 13064 completed with status 0
% 134.92/18.18 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 134.92/18.18 # Preprocessing class: FSLSSMSMSSSNFFN.
% 134.92/18.18 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 134.92/18.18 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 134.92/18.18 # Starting new_bool_3 with 300s (1) cores
% 134.92/18.18 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 134.92/18.18 # Search class: FGHSF-SMLM32-MFFFFFNN
% 134.92/18.18 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 134.92/18.18 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 181s (1) cores
% 134.92/18.18 # Preprocessing time : 0.109 s
% 134.92/18.18 # Presaturation interreduction done
% 134.92/18.18
% 134.92/18.18 # Proof found!
% 134.92/18.18 # SZS status Theorem
% 134.92/18.18 # SZS output start CNFRefutation
% See solution above
% 134.92/18.18 # Parsed axioms : 116
% 134.92/18.18 # Removed by relevancy pruning/SinE : 9
% 134.92/18.18 # Initial clauses : 4909
% 134.92/18.18 # Removed in clause preprocessing : 7
% 134.92/18.18 # Initial clauses in saturation : 4902
% 134.92/18.18 # Processed clauses : 24072
% 134.92/18.18 # ...of these trivial : 730
% 134.92/18.18 # ...subsumed : 7456
% 134.92/18.18 # ...remaining for further processing : 15886
% 134.92/18.18 # Other redundant clauses eliminated : 2035
% 134.92/18.18 # Clauses deleted for lack of memory : 0
% 134.92/18.18 # Backward-subsumed : 156
% 134.92/18.18 # Backward-rewritten : 206
% 134.92/18.18 # Generated clauses : 147582
% 134.92/18.18 # ...of the previous two non-redundant : 145554
% 134.92/18.18 # ...aggressively subsumed : 0
% 134.92/18.18 # Contextual simplify-reflections : 289
% 134.92/18.18 # Paramodulations : 145737
% 134.92/18.18 # Factorizations : 6
% 134.92/18.18 # NegExts : 0
% 134.92/18.18 # Equation resolutions : 2039
% 134.92/18.18 # Total rewrite steps : 40874
% 134.92/18.18 # Propositional unsat checks : 0
% 134.92/18.18 # Propositional check models : 0
% 134.92/18.18 # Propositional check unsatisfiable : 0
% 134.92/18.18 # Propositional clauses : 0
% 134.92/18.18 # Propositional clauses after purity: 0
% 134.92/18.18 # Propositional unsat core size : 0
% 134.92/18.18 # Propositional preprocessing time : 0.000
% 134.92/18.18 # Propositional encoding time : 0.000
% 134.92/18.18 # Propositional solver time : 0.000
% 134.92/18.18 # Success case prop preproc time : 0.000
% 134.92/18.18 # Success case prop encoding time : 0.000
% 134.92/18.18 # Success case prop solver time : 0.000
% 134.92/18.18 # Current number of processed clauses : 9700
% 134.92/18.18 # Positive orientable unit clauses : 2315
% 134.92/18.18 # Positive unorientable unit clauses: 0
% 134.92/18.18 # Negative unit clauses : 414
% 134.92/18.18 # Non-unit-clauses : 6971
% 134.92/18.18 # Current number of unprocessed clauses: 129689
% 134.92/18.18 # ...number of literals in the above : 1032167
% 134.92/18.18 # Current number of archived formulas : 0
% 134.92/18.18 # Current number of archived clauses : 4353
% 134.92/18.18 # Clause-clause subsumption calls (NU) : 16614046
% 134.92/18.18 # Rec. Clause-clause subsumption calls : 1905243
% 134.92/18.18 # Non-unit clause-clause subsumptions : 6638
% 134.92/18.18 # Unit Clause-clause subsumption calls : 811878
% 134.92/18.18 # Rewrite failures with RHS unbound : 0
% 134.92/18.18 # BW rewrite match attempts : 43612
% 134.92/18.18 # BW rewrite match successes : 58
% 134.92/18.18 # Condensation attempts : 0
% 134.92/18.18 # Condensation successes : 0
% 134.92/18.18 # Termbank termtop insertions : 6937222
% 134.92/18.18
% 134.92/18.18 # -------------------------------------------------
% 134.92/18.18 # User time : 16.623 s
% 134.92/18.18 # System time : 0.159 s
% 134.92/18.18 # Total time : 16.781 s
% 134.92/18.18 # Maximum resident set size: 14160 pages
% 134.92/18.18
% 134.92/18.18 # -------------------------------------------------
% 134.92/18.18 # User time : 16.627 s
% 134.92/18.18 # System time : 0.164 s
% 134.92/18.18 # Total time : 16.791 s
% 134.92/18.18 # Maximum resident set size: 1876 pages
% 134.92/18.18 % E---3.1 exiting
% 134.92/18.18 % E---3.1 exiting
%------------------------------------------------------------------------------