TSTP Solution File: NUM577+3 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM577+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 300s
% DateTime : Sat May 4 08:55:26 EDT 2024
% Result : Theorem 72.12s 9.64s
% Output : CNFRefutation 72.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 17 unt; 0 def)
% Number of atoms : 553 ( 45 equ)
% Maximal formula atoms : 181 ( 10 avg)
% Number of connectives : 765 ( 266 ~; 313 |; 148 &)
% ( 5 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',mSuccNum) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,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)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',m__3623) ).
fof(m__,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',m__) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',m__3671) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',m__3754) ).
fof(m__3904,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',m__3904) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p',mDefSub) ).
fof(c_0_7,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
inference(fof_simplification,[status(thm)],[mSuccNum]) ).
fof(c_0_8,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,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)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[m__3623]) ).
fof(c_0_9,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_10,plain,
! [X59] :
( ( aElementOf0(szszuzczcdt0(X59),szNzAzT0)
| ~ aElementOf0(X59,szNzAzT0) )
& ( szszuzczcdt0(X59) != sz00
| ~ aElementOf0(X59,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,hypothesis,
! [X206,X208,X209,X210,X211] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_8])])])])])])]) ).
fof(c_0_12,hypothesis,
! [X212,X213] :
( ( aSet0(sdtlpdtrp0(xN,X212))
| ~ aElementOf0(X212,szNzAzT0) )
& ( ~ aElementOf0(X213,sdtlpdtrp0(xN,X212))
| aElementOf0(X213,szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X212),szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X212))
| ~ aElementOf0(X212,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])]) ).
fof(c_0_13,hypothesis,
! [X214,X215,X216] :
( ( ~ aElementOf0(X216,sdtlpdtrp0(xN,X214))
| aElementOf0(X216,sdtlpdtrp0(xN,X215))
| ~ sdtlseqdt0(X215,X214)
| ~ aElementOf0(X214,szNzAzT0)
| ~ aElementOf0(X215,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X214),sdtlpdtrp0(xN,X215))
| ~ sdtlseqdt0(X215,X214)
| ~ aElementOf0(X214,szNzAzT0)
| ~ aElementOf0(X215,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])]) ).
fof(c_0_14,negated_conjecture,
! [X217,X218,X220,X221] :
( sdtlseqdt0(szszuzczcdt0(xn),xm)
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X217,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X217) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| ~ aElementOf0(X217,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X217) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X217,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X217) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| ~ aElementOf0(X217,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X217) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X217,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X217) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElement0(X218)
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| aElement0(X218)
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElement0(X218)
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| aElement0(X218)
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElement0(X218)
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(X218,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| aElementOf0(X218,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| aElementOf0(X218,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| X218 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| X218 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| X218 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| X218 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| X218 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xn))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xn))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xn))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xn))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElement0(X218)
| ~ aElementOf0(X218,sdtlpdtrp0(xN,xn))
| X218 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X218,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X220,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X220)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X221)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
cnf(c_0_15,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3904]) ).
cnf(c_0_17,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,plain,
! [X20,X21,X22,X23] :
( ( aSet0(X21)
| ~ aSubsetOf0(X21,X20)
| ~ aSet0(X20) )
& ( ~ aElementOf0(X22,X21)
| aElementOf0(X22,X20)
| ~ aSubsetOf0(X21,X20)
| ~ aSet0(X20) )
& ( aElementOf0(esk2_2(X20,X23),X23)
| ~ aSet0(X23)
| aSubsetOf0(X23,X20)
| ~ aSet0(X20) )
& ( ~ aElementOf0(esk2_2(X20,X23),X20)
| ~ aSet0(X23)
| aSubsetOf0(X23,X20)
| ~ aSet0(X20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefSub])])])])])])]) ).
cnf(c_0_22,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,hypothesis,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3904]) ).
cnf(c_0_26,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_28,hypothesis,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_18]),c_0_19]) ).
cnf(c_0_29,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_31,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,hypothesis,
( X1 != szmzizndt0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_36,hypothesis,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_38,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,hypothesis,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_34,c_0_18]),c_0_19])]) ).
cnf(c_0_40,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_36])]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,hypothesis,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_39,c_0_16]) ).
cnf(c_0_43,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_18]),c_0_19]) ).
cnf(c_0_46,negated_conjecture,
aElementOf0(esk32_0,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_47,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,hypothesis,
aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_50,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_52,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_52]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM577+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 09:38:18 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.2xelYJLUxt/E---3.1_26626.p
% 72.12/9.64 # Version: 3.1.0
% 72.12/9.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 72.12/9.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 72.12/9.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 72.12/9.64 # Starting new_bool_3 with 300s (1) cores
% 72.12/9.64 # Starting new_bool_1 with 300s (1) cores
% 72.12/9.64 # Starting sh5l with 300s (1) cores
% 72.12/9.64 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 26704 completed with status 0
% 72.12/9.64 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 72.12/9.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 72.12/9.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 72.12/9.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 72.12/9.64 # No SInE strategy applied
% 72.12/9.64 # Search class: FGHSF-SMLM32-MFFFFFNN
% 72.12/9.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 72.12/9.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 72.12/9.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 72.12/9.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 72.12/9.64 # Starting new_bool_3 with 136s (1) cores
% 72.12/9.64 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 72.12/9.64 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 26713 completed with status 0
% 72.12/9.64 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 72.12/9.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 72.12/9.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 72.12/9.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 72.12/9.64 # No SInE strategy applied
% 72.12/9.64 # Search class: FGHSF-SMLM32-MFFFFFNN
% 72.12/9.64 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 72.12/9.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 72.12/9.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 72.12/9.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 72.12/9.64 # Preprocessing time : 0.146 s
% 72.12/9.64 # Presaturation interreduction done
% 72.12/9.64
% 72.12/9.64 # Proof found!
% 72.12/9.64 # SZS status Theorem
% 72.12/9.64 # SZS output start CNFRefutation
% See solution above
% 72.12/9.64 # Parsed axioms : 87
% 72.12/9.64 # Removed by relevancy pruning/SinE : 0
% 72.12/9.64 # Initial clauses : 4237
% 72.12/9.64 # Removed in clause preprocessing : 7
% 72.12/9.64 # Initial clauses in saturation : 4230
% 72.12/9.64 # Processed clauses : 15030
% 72.12/9.64 # ...of these trivial : 515
% 72.12/9.64 # ...subsumed : 1905
% 72.12/9.64 # ...remaining for further processing : 12610
% 72.12/9.64 # Other redundant clauses eliminated : 1945
% 72.12/9.64 # Clauses deleted for lack of memory : 0
% 72.12/9.64 # Backward-subsumed : 137
% 72.12/9.64 # Backward-rewritten : 240
% 72.12/9.64 # Generated clauses : 49519
% 72.12/9.64 # ...of the previous two non-redundant : 44415
% 72.12/9.64 # ...aggressively subsumed : 0
% 72.12/9.64 # Contextual simplify-reflections : 176
% 72.12/9.64 # Paramodulations : 47760
% 72.12/9.64 # Factorizations : 6
% 72.12/9.64 # NegExts : 0
% 72.12/9.64 # Equation resolutions : 1947
% 72.12/9.64 # Disequality decompositions : 0
% 72.12/9.64 # Total rewrite steps : 37998
% 72.12/9.64 # ...of those cached : 35843
% 72.12/9.64 # Propositional unsat checks : 3
% 72.12/9.64 # Propositional check models : 2
% 72.12/9.64 # Propositional check unsatisfiable : 0
% 72.12/9.64 # Propositional clauses : 0
% 72.12/9.64 # Propositional clauses after purity: 0
% 72.12/9.64 # Propositional unsat core size : 0
% 72.12/9.64 # Propositional preprocessing time : 0.000
% 72.12/9.64 # Propositional encoding time : 0.092
% 72.12/9.64 # Propositional solver time : 0.080
% 72.12/9.64 # Success case prop preproc time : 0.000
% 72.12/9.64 # Success case prop encoding time : 0.000
% 72.12/9.64 # Success case prop solver time : 0.000
% 72.12/9.64 # Current number of processed clauses : 6843
% 72.12/9.64 # Positive orientable unit clauses : 3454
% 72.12/9.64 # Positive unorientable unit clauses: 0
% 72.12/9.64 # Negative unit clauses : 182
% 72.12/9.64 # Non-unit-clauses : 3207
% 72.12/9.64 # Current number of unprocessed clauses: 36215
% 72.12/9.64 # ...number of literals in the above : 142344
% 72.12/9.64 # Current number of archived formulas : 0
% 72.12/9.64 # Current number of archived clauses : 4017
% 72.12/9.64 # Clause-clause subsumption calls (NU) : 8679757
% 72.12/9.64 # Rec. Clause-clause subsumption calls : 397346
% 72.12/9.64 # Non-unit clause-clause subsumptions : 1909
% 72.12/9.64 # Unit Clause-clause subsumption calls : 309571
% 72.12/9.64 # Rewrite failures with RHS unbound : 0
% 72.12/9.64 # BW rewrite match attempts : 150696
% 72.12/9.64 # BW rewrite match successes : 138
% 72.12/9.64 # Condensation attempts : 0
% 72.12/9.64 # Condensation successes : 0
% 72.12/9.64 # Termbank termtop insertions : 2132801
% 72.12/9.64 # Search garbage collected termcells : 27161
% 72.12/9.64
% 72.12/9.64 # -------------------------------------------------
% 72.12/9.64 # User time : 9.052 s
% 72.12/9.64 # System time : 0.084 s
% 72.12/9.64 # Total time : 9.136 s
% 72.12/9.64 # Maximum resident set size: 13416 pages
% 72.12/9.64
% 72.12/9.64 # -------------------------------------------------
% 72.12/9.64 # User time : 44.499 s
% 72.12/9.64 # System time : 0.262 s
% 72.12/9.64 # Total time : 44.761 s
% 72.12/9.64 # Maximum resident set size: 1824 pages
% 72.12/9.64 % E---3.1 exiting
% 72.12/9.64 % E exiting
%------------------------------------------------------------------------------