%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM571+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n082.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:50 EST 2018
% Result : Theorem 2.01s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 432 ( 6 equ)
% Maximal formula atoms : 181 ( 12 avg)
% Number of connectives : 609 ( 212 ~; 223 |; 163 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 37 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(20,axiom,
( ~ equal(xi,sz00)
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(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/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1',m__3702_02) ).
fof(63,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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))
& ~ equal(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/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1',m__3623) ).
fof(70,axiom,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1',m__3435) ).
fof(81,conjecture,
( ( ( 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/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1',m__) ).
fof(86,negated_conjecture,
~ ( ( ( 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)],[81]) ).
fof(201,plain,
( equal(xi,sz00)
| ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(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(fof_nnf,[status(thm)],[20]) ).
fof(202,plain,
( equal(xi,sz00)
| ( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& equal(szszuzczcdt0(X2),xi) )
& aSet0(sdtlpdtrp0(xN,xi))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| aElementOf0(X3,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(variable_rename,[status(thm)],[201]) ).
fof(203,plain,
( equal(xi,sz00)
| ( aElementOf0(esk7_0,szNzAzT0)
& equal(szszuzczcdt0(esk7_0),xi)
& aSet0(sdtlpdtrp0(xN,xi))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| aElementOf0(X3,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(skolemize,[status(esa)],[202]) ).
fof(204,plain,
! [X3] :
( ( ( ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| aElementOf0(X3,szNzAzT0) )
& aElementOf0(esk7_0,szNzAzT0)
& equal(szszuzczcdt0(esk7_0),xi)
& aSet0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) )
| equal(xi,sz00) ),
inference(shift_quantors,[status(thm)],[203]) ).
fof(205,plain,
! [X3] :
( ( ~ aElementOf0(X3,sdtlpdtrp0(xN,xi))
| aElementOf0(X3,szNzAzT0)
| equal(xi,sz00) )
& ( aElementOf0(esk7_0,szNzAzT0)
| equal(xi,sz00) )
& ( equal(szszuzczcdt0(esk7_0),xi)
| equal(xi,sz00) )
& ( aSet0(sdtlpdtrp0(xN,xi))
| equal(xi,sz00) )
& ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| equal(xi,sz00) )
& ( isCountable0(sdtlpdtrp0(xN,xi))
| equal(xi,sz00) ) ),
inference(distribute,[status(thm)],[204]) ).
cnf(206,plain,
( xi = sz00
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(207,plain,
( xi = sz00
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[205]) ).
fof(4371,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),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_nnf,[status(thm)],[63]) ).
fof(4372,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ? [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X3))
& ~ aElementOf0(X4,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(variable_rename,[status(thm)],[4371]) ).
fof(4373,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk28_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(skolemize,[status(esa)],[4372]) ).
fof(4374,plain,
! [X3,X5,X6,X7] :
( ( ( ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk28_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[4373]) ).
fof(4375,plain,
! [X3,X5,X6,X7] :
( ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk28_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk28_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[4374]) ).
cnf(4376,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[4375]) ).
fof(4438,plain,
( aSet0(xS)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(4439,plain,
( aSet0(xS)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(variable_rename,[status(thm)],[4438]) ).
fof(4440,plain,
! [X2] :
( ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(shift_quantors,[status(thm)],[4439]) ).
cnf(4441,plain,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[4440]) ).
cnf(4442,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[4440]) ).
fof(4487,negated_conjecture,
( ( ( ~ aSet0(sdtlpdtrp0(xN,xi))
| ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X1,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(4488,negated_conjecture,
( ( ( ~ aSet0(sdtlpdtrp0(xN,xi))
| ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X2,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(variable_rename,[status(thm)],[4487]) ).
fof(4489,negated_conjecture,
( ( ( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( aElementOf0(esk31_0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(esk31_0,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(skolemize,[status(esa)],[4488]) ).
fof(4490,negated_conjecture,
( ( aElementOf0(esk31_0,sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(esk31_0,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(distribute,[status(thm)],[4489]) ).
cnf(4491,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[4490]) ).
cnf(4587,plain,
( sz00 = xi
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(spm,[status(thm)],[4491,206,theory(equality)]) ).
cnf(13785,plain,
sz00 = xi,
inference(csr,[status(thm)],[4587,207]) ).
cnf(13793,plain,
sdtlpdtrp0(xN,xi) = xS,
inference(rw,[status(thm)],[4376,13785,theory(equality)]) ).
cnf(14170,negated_conjecture,
( $false
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4491,13793,theory(equality)]),4441,theory(equality)]) ).
cnf(14171,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14170,13793,theory(equality)]),4442,theory(equality)]) ).
cnf(14172,negated_conjecture,
$false,
inference(cn,[status(thm)],[14171,theory(equality)]) ).
cnf(14173,negated_conjecture,
$false,
14172,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM571+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n082.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 09:56:45 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 2.01/2.58 -running prover on /export/starexec/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1 with time limit 29
% 2.01/2.58 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpi3T_8F/sel_theBenchmark.p_1']
% 2.01/2.58 -prover status Theorem
% 2.01/2.58 Problem theBenchmark.p solved in phase 0.
% 2.01/2.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.01/2.58 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.01/2.58 Solved 1 out of 1.
% 2.01/2.58 # Problem is unsatisfiable (or provable), constructing proof object
% 2.01/2.58 # SZS status Theorem
% 2.01/2.58 # SZS output start CNFRefutation.
% See solution above
% 2.01/2.59 # SZS output end CNFRefutation
%------------------------------------------------------------------------------