TSTP Solution File: NUM630+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM630+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:34:36 EDT 2022
% Result : Theorem 0.49s 36.69s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 844 ( 152 equ)
% Maximal formula atoms : 518 ( 18 avg)
% Number of connectives : 1227 ( 429 ~; 501 |; 232 &)
% ( 14 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 8 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 94 ( 7 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__4730) ).
fof(m__5334,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5334) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__5164) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__4151) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5217) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__5309) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__4660) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',m__5585) ).
fof(m__5599,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xD) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5599) ).
fof(c_0_10,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_11,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_12,hypothesis,
! [X4,X5] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk17_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk17_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])])])]) ).
fof(c_0_13,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5334])])])])]) ).
fof(c_0_14,hypothesis,
! [X2,X3,X3] :
( aSet0(xP)
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& ( aElement0(X3)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(X3,xQ)
| ~ aElementOf0(X3,xP) )
& ( X3 != szmzizndt0(xQ)
| ~ aElementOf0(X3,xP) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| X3 = szmzizndt0(xQ)
| aElementOf0(X3,xP) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5164])])])])])]) ).
fof(c_0_15,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_10]) ).
fof(c_0_16,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_10]) ).
fof(c_0_17,negated_conjecture,
! [X2,X3,X3] :
( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(X3,xP)
| X3 = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X3,xP)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( X3 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElement0(X3)
| aElementOf0(X3,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
cnf(c_0_18,hypothesis,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_21,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_22,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X4,X5,X6,X6,X7,X8,X7,X10,X11,X12,X12,X14,X15,X15] :
( ( aFunction0(sdtlpdtrp0(xC,X4))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(X7)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( sbrdtbr0(X7) = xk
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( aElementOf0(esk39_2(X4,X7),X7)
| ~ aSet0(X7)
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk39_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X7)
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X7) != xk
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred2_1(X4) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X4)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| X12 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| X12 = szmzizndt0(sdtlpdtrp0(xN,X4))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(esk40_2(X4,X10),X10)
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(esk40_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| sbrdtbr0(X10) != xk
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( aElementOf0(X15,X10)
| X15 = szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( X15 != szmzizndt0(sdtlpdtrp0(xN,X4))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10) = sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ epred2_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])])]) ).
fof(c_0_24,hypothesis,
! [X3,X4] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
| ~ aElementOf0(X3,szNzAzT0) )
& ( sdtlpdtrp0(xe,X3) = szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])])])]) ).
fof(c_0_25,hypothesis,
! [X2] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X2,szNzAzT0)
| epred2_1(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
fof(c_0_26,hypothesis,
! [X2,X3,X3] :
( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aSet0(xD)
& ( aElement0(X3)
| ~ aElementOf0(X3,xD) )
& ( aElementOf0(X3,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X3,xD) )
& ( X3 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X3,xD) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,xn))
| X3 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X3,xD) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5585])])])])])]) ).
cnf(c_0_27,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ epred2_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,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_23]) ).
cnf(c_0_31,plain,
( aSet0(X2)
| ~ epred2_1(X1)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_36,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(xd,xn),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ epred2_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_38,hypothesis,
! [X2] :
( ( ~ aElementOf0(X2,xP)
| aElementOf0(X2,xD) )
& aSubsetOf0(xP,xD)
& aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5599])])])])]) ).
cnf(c_0_39,hypothesis,
( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)),xk) = szDzozmdt0(sdtlpdtrp0(xC,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_33]) ).
cnf(c_0_40,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_35]),c_0_21])]) ).
cnf(c_0_41,negated_conjecture,
( ~ epred2_1(xn)
| ~ aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_28])]) ).
cnf(c_0_42,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,hypothesis,
slbdtsldtrb0(xD,xk) = szDzozmdt0(sdtlpdtrp0(xC,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_40]),c_0_21])]) ).
cnf(c_0_44,hypothesis,
~ aElementOf0(xP,szDzozmdt0(sdtlpdtrp0(xC,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_21])]) ).
cnf(c_0_45,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM630+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 04:32:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/23.42 eprover: CPU time limit exceeded, terminating
% 0.40/23.42 eprover: CPU time limit exceeded, terminating
% 0.40/23.43 eprover: CPU time limit exceeded, terminating
% 0.40/23.43 eprover: CPU time limit exceeded, terminating
% 0.49/36.69 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.49/36.69
% 0.49/36.69 # Failure: Resource limit exceeded (time)
% 0.49/36.69 # OLD status Res
% 0.49/36.69 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.49/36.69 # Preprocessing time : 0.063 s
% 0.49/36.69 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.49/36.69 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.49/36.69 # Preprocessing time : 0.234 s
% 0.49/36.69
% 0.49/36.69 # Proof found!
% 0.49/36.69 # SZS status Theorem
% 0.49/36.69 # SZS output start CNFRefutation
% See solution above
% 0.49/36.69 # Proof object total steps : 46
% 0.49/36.69 # Proof object clause steps : 23
% 0.49/36.69 # Proof object formula steps : 23
% 0.49/36.69 # Proof object conjectures : 6
% 0.49/36.69 # Proof object clause conjectures : 3
% 0.49/36.69 # Proof object formula conjectures : 3
% 0.49/36.69 # Proof object initial clauses used : 14
% 0.49/36.69 # Proof object initial formulas used : 10
% 0.49/36.69 # Proof object generating inferences : 7
% 0.49/36.69 # Proof object simplifying inferences : 19
% 0.49/36.69 # Training examples: 0 positive, 0 negative
% 0.49/36.69 # Parsed axioms : 116
% 0.49/36.69 # Removed by relevancy pruning/SinE : 9
% 0.49/36.69 # Initial clauses : 4909
% 0.49/36.69 # Removed in clause preprocessing : 7
% 0.49/36.69 # Initial clauses in saturation : 4902
% 0.49/36.69 # Processed clauses : 11010
% 0.49/36.69 # ...of these trivial : 79
% 0.49/36.69 # ...subsumed : 2901
% 0.49/36.69 # ...remaining for further processing : 8030
% 0.49/36.69 # Other redundant clauses eliminated : 5116
% 0.49/36.69 # Clauses deleted for lack of memory : 47699
% 0.49/36.69 # Backward-subsumed : 215
% 0.49/36.69 # Backward-rewritten : 411
% 0.49/36.69 # Generated clauses : 167646
% 0.49/36.69 # ...of the previous two non-trivial : 155741
% 0.49/36.69 # Contextual simplify-reflections : 5352
% 0.49/36.69 # Paramodulations : 162299
% 0.49/36.69 # Factorizations : 0
% 0.49/36.69 # Equation resolutions : 5338
% 0.49/36.69 # Current number of processed clauses : 7399
% 0.49/36.69 # Positive orientable unit clauses : 133
% 0.49/36.69 # Positive unorientable unit clauses: 0
% 0.49/36.69 # Negative unit clauses : 92
% 0.49/36.69 # Non-unit-clauses : 7174
% 0.49/36.69 # Current number of unprocessed clauses: 92695
% 0.49/36.69 # ...number of literals in the above : 1171012
% 0.49/36.69 # Current number of archived formulas : 0
% 0.49/36.69 # Current number of archived clauses : 626
% 0.49/36.69 # Clause-clause subsumption calls (NU) : 13597749
% 0.49/36.69 # Rec. Clause-clause subsumption calls : 280212
% 0.49/36.69 # Non-unit clause-clause subsumptions : 7581
% 0.49/36.69 # Unit Clause-clause subsumption calls : 360428
% 0.49/36.69 # Rewrite failures with RHS unbound : 0
% 0.49/36.69 # BW rewrite match attempts : 22
% 0.49/36.69 # BW rewrite match successes : 18
% 0.49/36.69 # Condensation attempts : 0
% 0.49/36.69 # Condensation successes : 0
% 0.49/36.69 # Termbank termtop insertions : 9322456
% 0.49/36.69
% 0.49/36.69 # -------------------------------------------------
% 0.49/36.69 # User time : 12.518 s
% 0.49/36.69 # System time : 0.100 s
% 0.49/36.69 # Total time : 12.618 s
% 0.49/36.69 # Maximum resident set size: 147200 pages
% 0.49/46.44 eprover: CPU time limit exceeded, terminating
% 0.49/46.45 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.49/46.45
% 0.49/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.46 eprover: No such file or directory
% 0.49/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.46 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.47 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.48 eprover: No such file or directory
% 0.49/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.49 eprover: No such file or directory
% 0.49/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.49 eprover: No such file or directory
% 0.49/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.49 eprover: No such file or directory
% 0.49/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.49 eprover: No such file or directory
% 0.49/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.49 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.50 eprover: No such file or directory
% 0.49/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.51 eprover: No such file or directory
% 0.49/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.51 eprover: No such file or directory
% 0.49/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.49/46.51 eprover: No such file or directory
%------------------------------------------------------------------------------