TSTP Solution File: NUM582+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM582+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n066.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 15:21:52 EST 2018
% Result : Theorem 5.82s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 386 ( 1 equ)
% Maximal formula atoms : 181 ( 11 avg)
% Number of connectives : 567 ( 216 ~; 218 |; 121 &)
% ( 1 <=>; 11 =>; 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [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/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1',m__3754) ).
fof(12,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1',mZeroNum) ).
fof(16,conjecture,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
file('/export/starexec/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1',m__) ).
fof(62,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/tmpZmaVrP/sel_theBenchmark.p_1',m__3623) ).
fof(68,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1',mZeroLess) ).
fof(81,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1',m__3989) ).
fof(89,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(108,plain,
! [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)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(109,plain,
! [X4,X5] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) ) ),
inference(variable_rename,[status(thm)],[108]) ).
fof(110,plain,
! [X4,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) )
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[109]) ).
fof(111,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(112,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(163,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[12]) ).
fof(190,negated_conjecture,
( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(191,negated_conjecture,
( ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(X2,xS) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(variable_rename,[status(thm)],[190]) ).
fof(192,negated_conjecture,
( aElementOf0(esk6_0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(esk6_0,xS)
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(skolemize,[status(esa)],[191]) ).
cnf(193,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(split_conjunct,[status(thm)],[192]) ).
fof(425,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)],[62]) ).
fof(426,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)],[425]) ).
fof(427,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk20_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk20_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)],[426]) ).
fof(428,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(esk20_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk20_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)],[427]) ).
fof(429,plain,
! [X3,X5,X6,X7] :
( ( aElementOf0(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_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(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_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(esk20_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(esk20_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(esk20_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk20_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)],[428]) ).
cnf(430,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[429]) ).
fof(486,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(487,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[486]) ).
cnf(488,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[487]) ).
cnf(4502,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(4580,plain,
sdtlseqdt0(sz00,xi),
inference(spm,[status(thm)],[488,4502,theory(equality)]) ).
cnf(4934,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[112,4502,theory(equality)]) ).
cnf(55762,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[4934,4580,theory(equality)]) ).
cnf(55766,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(rw,[status(thm)],[55762,430,theory(equality)]) ).
cnf(55767,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| $false ),
inference(rw,[status(thm)],[55766,163,theory(equality)]) ).
cnf(55768,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cn,[status(thm)],[55767,theory(equality)]) ).
cnf(55769,plain,
$false,
inference(sr,[status(thm)],[55768,193,theory(equality)]) ).
cnf(55770,plain,
$false,
55769,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM582+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n066.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 09:40:00 CST 2018
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 5.82/6.06 -running prover on /export/starexec/sandbox2/tmp/tmpZmaVrP/sel_theBenchmark.p_1 with time limit 29
% 5.82/6.06 -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/tmpZmaVrP/sel_theBenchmark.p_1']
% 5.82/6.06 -prover status Theorem
% 5.82/6.06 Problem theBenchmark.p solved in phase 0.
% 5.82/6.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.82/6.06 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.82/6.06 Solved 1 out of 1.
% 5.82/6.06 # Problem is unsatisfiable (or provable), constructing proof object
% 5.82/6.06 # SZS status Theorem
% 5.82/6.06 # SZS output start CNFRefutation.
% See solution above
% 5.82/6.07 # SZS output end CNFRefutation
%------------------------------------------------------------------------------