TSTP Solution File: NUM570+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM570+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 09:33:55 EDT 2022
% Result : Theorem 1.78s 265.93s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 343 ( 35 equ)
% Maximal formula atoms : 181 ( 7 avg)
% Number of connectives : 509 ( 209 ~; 217 |; 68 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 1 sgn 21 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( xi != sz00
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi )
& ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIH) ).
fof(m__3702,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3702) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( iLess0(X1,xi)
=> ( 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3671) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3623) ).
fof(c_0_6,negated_conjecture,
~ ( xi != sz00
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi )
& ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,plain,
! [X3] :
( ( aElementOf0(esk23_1(X3),szNzAzT0)
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) )
& ( X3 = szszuzczcdt0(esk23_1(X3))
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[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)],[mNatExtra])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X2] :
( xi != sz00
& ( aElementOf0(esk13_0,sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X2) != xi
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(esk13_0,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X2) != xi
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X2) != xi
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ) ),
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_6])])])])])])]) ).
fof(c_0_9,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
cnf(c_0_10,plain,
( X1 = sz00
| aElementOf0(esk23_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3702]) ).
cnf(c_0_12,negated_conjecture,
xi != sz00,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk23_1(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,hypothesis,
! [X3,X4] :
( ( aSet0(sdtlpdtrp0(xN,X3))
| ~ iLess0(X3,xi)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0)
| ~ iLess0(X3,xi)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ iLess0(X3,xi)
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X3))
| ~ iLess0(X3,xi)
| ~ 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__3671])])])])])]) ).
cnf(c_0_15,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
aElementOf0(esk23_1(xi),szNzAzT0),
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,hypothesis,
szszuzczcdt0(esk23_1(xi)) = xi,
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_13,c_0_11]),c_0_12]) ).
fof(c_0_18,hypothesis,
! [X3,X5,X6,X6,X7] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(esk12_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(esk12_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,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__3623])])])])])])]) ).
cnf(c_0_19,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,xi) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
iLess0(esk23_1(xi),xi),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,xi) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,esk23_1(xi)),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]) ).
cnf(c_0_24,hypothesis,
isCountable0(sdtlpdtrp0(xN,esk23_1(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_21,c_0_20]),c_0_16])]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(esk13_0,sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi))
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,hypothesis,
aSet0(sdtlpdtrp0(xN,xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_24]),c_0_16])]) ).
cnf(c_0_27,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(esk13_0,sdtlpdtrp0(xN,xi))
| szszuzczcdt0(X1) != xi
| ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_29,hypothesis,
isCountable0(sdtlpdtrp0(xN,xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_23]),c_0_17]),c_0_24]),c_0_16])]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( aElementOf0(esk13_0,sdtlpdtrp0(xN,xi))
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_32,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk23_1(xi)),szmzizndt0(sdtlpdtrp0(xN,esk23_1(xi)))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_17]),c_0_23]),c_0_24]),c_0_16])]) ).
cnf(c_0_33,hypothesis,
aElementOf0(esk13_0,sdtlpdtrp0(xN,xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_16]),c_0_17])]) ).
cnf(c_0_34,hypothesis,
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,hypothesis,
aElementOf0(esk13_0,sdtmndt0(sdtlpdtrp0(xN,esk23_1(xi)),szmzizndt0(sdtlpdtrp0(xN,esk23_1(xi))))),
inference(pm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(esk13_0,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,hypothesis,
( aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,xi)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,hypothesis,
aElementOf0(esk13_0,sdtlpdtrp0(xN,esk23_1(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_23]),c_0_24]),c_0_16])]) ).
cnf(c_0_39,negated_conjecture,
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(esk13_0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_26])]),c_0_29])]) ).
cnf(c_0_40,hypothesis,
aElementOf0(esk13_0,szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_20]),c_0_16])]) ).
cnf(c_0_41,negated_conjecture,
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_42,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM570+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n006.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 : Tue Jul 5 18:13:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.36/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.41
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.50/46.43 eprover: CPU time limit exceeded, terminating
% 0.50/46.44 eprover: CPU time limit exceeded, terminating
% 0.50/46.45 eprover: CPU time limit exceeded, terminating
% 0.50/46.45 eprover: CPU time limit exceeded, terminating
% 0.63/69.45 eprover: CPU time limit exceeded, terminating
% 0.63/69.46 eprover: CPU time limit exceeded, terminating
% 0.63/69.47 eprover: CPU time limit exceeded, terminating
% 0.63/69.48 eprover: CPU time limit exceeded, terminating
% 0.77/92.48 eprover: CPU time limit exceeded, terminating
% 0.77/92.48 eprover: CPU time limit exceeded, terminating
% 0.77/92.50 eprover: CPU time limit exceeded, terminating
% 0.77/92.51 eprover: CPU time limit exceeded, terminating
% 0.90/115.50 eprover: CPU time limit exceeded, terminating
% 0.90/115.52 eprover: CPU time limit exceeded, terminating
% 0.90/115.52 eprover: CPU time limit exceeded, terminating
% 0.90/115.53 eprover: CPU time limit exceeded, terminating
% 1.04/138.54 eprover: CPU time limit exceeded, terminating
% 1.04/138.55 eprover: CPU time limit exceeded, terminating
% 1.04/138.55 eprover: CPU time limit exceeded, terminating
% 1.04/138.56 eprover: CPU time limit exceeded, terminating
% 1.17/161.57 eprover: CPU time limit exceeded, terminating
% 1.17/161.58 eprover: CPU time limit exceeded, terminating
% 1.17/161.58 eprover: CPU time limit exceeded, terminating
% 1.17/161.59 eprover: CPU time limit exceeded, terminating
% 1.30/184.59 eprover: CPU time limit exceeded, terminating
% 1.30/184.60 eprover: CPU time limit exceeded, terminating
% 1.30/184.60 eprover: CPU time limit exceeded, terminating
% 1.30/184.61 eprover: CPU time limit exceeded, terminating
% 1.44/207.62 eprover: CPU time limit exceeded, terminating
% 1.44/207.63 eprover: CPU time limit exceeded, terminating
% 1.44/207.63 eprover: CPU time limit exceeded, terminating
% 1.44/207.63 eprover: CPU time limit exceeded, terminating
% 1.57/230.65 eprover: CPU time limit exceeded, terminating
% 1.57/230.65 eprover: CPU time limit exceeded, terminating
% 1.57/230.65 eprover: CPU time limit exceeded, terminating
% 1.57/230.67 eprover: CPU time limit exceeded, terminating
% 1.70/253.67 eprover: CPU time limit exceeded, terminating
% 1.70/253.67 eprover: CPU time limit exceeded, terminating
% 1.70/253.69 eprover: CPU time limit exceeded, terminating
% 1.70/253.69 eprover: CPU time limit exceeded, terminating
% 1.78/265.93 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.78/265.93 # Preprocessing time : 0.413 s
% 1.78/265.93 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # Preprocessing time : 0.273 s
% 1.78/265.93 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # Preprocessing time : 0.166 s
% 1.78/265.93 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.78/265.93 # Preprocessing time : 0.184 s
% 1.78/265.93 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.78/265.93 # Preprocessing time : 0.171 s
% 1.78/265.93 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.78/265.93 # Preprocessing time : 0.188 s
% 1.78/265.93 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 1.78/265.93 # Preprocessing time : 0.290 s
% 1.78/265.93 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 1.78/265.93 # Preprocessing time : 0.245 s
% 1.78/265.93 # Running protocol protocol_eprover_1f734394cb6ce69b36c9826f6782d3567d6ecd6c for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,20000,1.0)
% 1.78/265.93 # Preprocessing time : 0.265 s
% 1.78/265.93 # Running protocol protocol_eprover_e9eb28a402764e1f99b41605245cd0a359f475fb for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # Preprocessing time : 0.176 s
% 1.78/265.93 # Running protocol protocol_eprover_3dd3316ad6e39f95bf120b2757347c6970e0a532 for 23 seconds:
% 1.78/265.93
% 1.78/265.93 # Failure: Resource limit exceeded (time)
% 1.78/265.93 # OLD status Res
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,,1.1,,01,500,1.0)
% 1.78/265.93 # Preprocessing time : 0.011 s
% 1.78/265.93 # Running protocol protocol_eprover_d8753ebeaa9aad70c7a4742461200d6169c65b7e for 23 seconds:
% 1.78/265.93 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,100,1.0)
% 1.78/265.93 # Preprocessing time : 0.184 s
% 1.78/265.93
% 1.78/265.93 # Proof found!
% 1.78/265.93 # SZS status Theorem
% 1.78/265.93 # SZS output start CNFRefutation
% See solution above
% 1.78/265.93 # Proof object total steps : 43
% 1.78/265.93 # Proof object clause steps : 31
% 1.78/265.93 # Proof object formula steps : 12
% 1.78/265.93 # Proof object conjectures : 10
% 1.78/265.93 # Proof object clause conjectures : 7
% 1.78/265.93 # Proof object formula conjectures : 3
% 1.78/265.93 # Proof object initial clauses used : 14
% 1.78/265.93 # Proof object initial formulas used : 6
% 1.78/265.93 # Proof object generating inferences : 13
% 1.78/265.93 # Proof object simplifying inferences : 40
% 1.78/265.93 # Training examples: 0 positive, 0 negative
% 1.78/265.93 # Parsed axioms : 84
% 1.78/265.93 # Removed by relevancy pruning/SinE : 12
% 1.78/265.93 # Initial clauses : 4148
% 1.78/265.93 # Removed in clause preprocessing : 7
% 1.78/265.93 # Initial clauses in saturation : 4141
% 1.78/265.93 # Processed clauses : 11102
% 1.78/265.93 # ...of these trivial : 91
% 1.78/265.93 # ...subsumed : 1098
% 1.78/265.93 # ...remaining for further processing : 9913
% 1.78/265.93 # Other redundant clauses eliminated : 2
% 1.78/265.93 # Clauses deleted for lack of memory : 309455
% 1.78/265.93 # Backward-subsumed : 6
% 1.78/265.93 # Backward-rewritten : 78
% 1.78/265.93 # Generated clauses : 411943
% 1.78/265.93 # ...of the previous two non-trivial : 410643
% 1.78/265.93 # Contextual simplify-reflections : 0
% 1.78/265.93 # Paramodulations : 411762
% 1.78/265.93 # Factorizations : 0
% 1.78/265.93 # Equation resolutions : 180
% 1.78/265.93 # Current number of processed clauses : 9826
% 1.78/265.93 # Positive orientable unit clauses : 1727
% 1.78/265.93 # Positive unorientable unit clauses: 0
% 1.78/265.93 # Negative unit clauses : 312
% 1.78/265.93 # Non-unit-clauses : 7787
% 1.78/265.93 # Current number of unprocessed clauses: 93667
% 1.78/265.93 # ...number of literals in the above : 253338
% 1.78/265.93 # Current number of archived formulas : 0
% 1.78/265.93 # Current number of archived clauses : 85
% 1.78/265.93 # Clause-clause subsumption calls (NU) : 4659643
% 1.78/265.93 # Rec. Clause-clause subsumption calls : 102428
% 1.78/265.93 # Non-unit clause-clause subsumptions : 827
% 1.78/265.93 # Unit Clause-clause subsumption calls : 5782655
% 1.78/265.93 # Rewrite failures with RHS unbound : 0
% 1.78/265.93 # BW rewrite match attempts : 6561
% 1.78/265.93 # BW rewrite match successes : 19
% 1.78/265.93 # Condensation attempts : 0
% 1.78/265.93 # Condensation successes : 0
% 1.78/265.93 # Termbank termtop insertions : 3239422
% 1.78/265.93
% 1.78/265.93 # -------------------------------------------------
% 1.78/265.93 # User time : 12.055 s
% 1.78/265.93 # System time : 0.114 s
% 1.78/265.93 # Total time : 12.169 s
% 1.78/265.93 # Maximum resident set size: 152400 pages
% 1.78/276.69 eprover: CPU time limit exceeded, terminating
% 1.78/276.70 eprover: CPU time limit exceeded, terminating
% 1.78/276.72 eprover: CPU time limit exceeded, terminating
%------------------------------------------------------------------------------