TSTP Solution File: NUM449+6 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM449+6 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n048.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 15:21:22 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 743 ( 12 equ)
% Maximal formula atoms : 102 ( 13 avg)
% Number of connectives : 1014 ( 328 ~; 338 |; 311 &)
% ( 6 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 146 ( 0 sgn 92 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,axiom,
isFinite0(xS),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',m__2117) ).
fof(14,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& ~ equal(X2,sz00) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',mArSeqClosed) ).
fof(20,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isClosed0(X2) ) ) )
=> isClosed0(sbsmnsldt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',mUnionSClosed) ).
fof(28,conjecture,
( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ) )
| isOpen0(stldt0(sbsmnsldt0(xS))) ) )
| isClosed0(sbsmnsldt0(xS)) ) ),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',m__) ).
fof(33,axiom,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& equal(szAzrzSzezqlpdtcmdtrp0(sz00,X2),X1) ) )
& ( ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> equal(szAzrzSzezqlpdtcmdtrp0(sz00,X2),X1) ) )
=> aElementOf0(X1,xS) ) )
& equal(xS,cS2043) ),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',m__2046) ).
fof(35,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1',mIntZero) ).
fof(46,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ) )
| isOpen0(stldt0(sbsmnsldt0(xS))) ) )
| isClosed0(sbsmnsldt0(xS)) ) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(49,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ) )
| isOpen0(stldt0(sbsmnsldt0(xS))) ) )
| isClosed0(sbsmnsldt0(xS)) ) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
cnf(116,plain,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[12]) ).
fof(120,plain,
! [X1,X2] :
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| equal(X2,sz00)
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(121,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(X4,sz00)
| ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[120]) ).
fof(122,plain,
! [X3,X4] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,X4),cS1395)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(X4,sz00) )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| equal(X4,sz00) ) ),
inference(distribute,[status(thm)],[121]) ).
cnf(123,plain,
( X1 = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[122]) ).
cnf(124,plain,
( X1 = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X1),cS1395)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(149,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ( ~ aSubsetOf0(X2,cS1395)
| ~ isClosed0(X2) ) )
| isClosed0(sbsmnsldt0(X1)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(150,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ? [X4] :
( aElementOf0(X4,X3)
& ( ~ aSubsetOf0(X4,cS1395)
| ~ isClosed0(X4) ) )
| isClosed0(sbsmnsldt0(X3)) ),
inference(variable_rename,[status(thm)],[149]) ).
fof(151,plain,
! [X3] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ( aElementOf0(esk6_1(X3),X3)
& ( ~ aSubsetOf0(esk6_1(X3),cS1395)
| ~ isClosed0(esk6_1(X3)) ) )
| isClosed0(sbsmnsldt0(X3)) ),
inference(skolemize,[status(esa)],[150]) ).
fof(152,plain,
! [X3] :
( ( aElementOf0(esk6_1(X3),X3)
| ~ aSet0(X3)
| ~ isFinite0(X3)
| isClosed0(sbsmnsldt0(X3)) )
& ( ~ aSubsetOf0(esk6_1(X3),cS1395)
| ~ isClosed0(esk6_1(X3))
| ~ aSet0(X3)
| ~ isFinite0(X3)
| isClosed0(sbsmnsldt0(X3)) ) ),
inference(distribute,[status(thm)],[151]) ).
cnf(153,plain,
( isClosed0(sbsmnsldt0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ isClosed0(esk6_1(X1))
| ~ aSubsetOf0(esk6_1(X1),cS1395) ),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(154,plain,
( isClosed0(sbsmnsldt0(X1))
| aElementOf0(esk6_1(X1),X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[152]) ).
fof(239,negated_conjecture,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& ( ~ aInteger0(X1)
| ! [X2] :
( ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) )
| aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ) )
& ? [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
& ! [X2] :
( ~ aInteger0(X2)
| equal(X2,sz00)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& ~ sdteqdtlpzmzozddtrp0(X3,X1,X2) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) )
& ? [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ~ aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) )
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ~ isClosed0(sbsmnsldt0(xS)) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(240,negated_conjecture,
( aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& ? [X6] :
( aElementOf0(X6,xS)
& aElementOf0(X5,X6) ) ) )
& ( ~ aInteger0(X5)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7) )
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) )
& ? [X9] :
( aElementOf0(X9,stldt0(sbsmnsldt0(xS)))
& ! [X10] :
( ~ aInteger0(X10)
| equal(X10,sz00)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10))
| ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& equal(sdtasdt0(X10,X12),sdtpldt0(X11,smndt0(X9))) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& sdteqdtlpzmzozddtrp0(X11,X9,X10) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(X9))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(X9)))
& ~ sdteqdtlpzmzozddtrp0(X11,X9,X10) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,X10)) ) )
& ? [X14] :
( aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,X10))
& ~ aElementOf0(X14,stldt0(sbsmnsldt0(xS))) )
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,X10),stldt0(sbsmnsldt0(xS))) ) ) )
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ~ isClosed0(sbsmnsldt0(xS)) ),
inference(variable_rename,[status(thm)],[239]) ).
fof(241,negated_conjecture,
( aSet0(sbsmnsldt0(xS))
& ! [X5] :
( ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& aElementOf0(esk15_1(X5),xS)
& aElementOf0(X5,esk15_1(X5)) ) )
& ( ~ aInteger0(X5)
| ! [X7] :
( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7) )
| aElementOf0(X5,sbsmnsldt0(xS)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) ) )
& aElementOf0(esk16_0,stldt0(sbsmnsldt0(xS)))
& ! [X10] :
( ~ aInteger0(X10)
| equal(X10,sz00)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ( aInteger0(X11)
& aInteger0(esk17_2(X10,X11))
& equal(sdtasdt0(X10,esk17_2(X10,X11)),sdtpldt0(X11,smndt0(esk16_0)))
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
& sdteqdtlpzmzozddtrp0(X11,esk16_0,X10) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(esk16_0))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
& ~ sdteqdtlpzmzozddtrp0(X11,esk16_0,X10) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10)) ) )
& aElementOf0(esk18_1(X10),szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
& ~ aElementOf0(esk18_1(X10),stldt0(sbsmnsldt0(xS)))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10),stldt0(sbsmnsldt0(xS))) ) )
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ~ isClosed0(sbsmnsldt0(xS)) ),
inference(skolemize,[status(esa)],[240]) ).
fof(242,negated_conjecture,
! [X5,X7,X8,X10,X11,X13] :
( ( ( ( ( ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(esk16_0))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
& ~ sdteqdtlpzmzozddtrp0(X11,esk16_0,X10) )
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10)) )
& ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ( aInteger0(X11)
& aInteger0(esk17_2(X10,X11))
& equal(sdtasdt0(X10,esk17_2(X10,X11)),sdtpldt0(X11,smndt0(esk16_0)))
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
& sdteqdtlpzmzozddtrp0(X11,esk16_0,X10) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
& aElementOf0(esk18_1(X10),szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
& ~ aElementOf0(esk18_1(X10),stldt0(sbsmnsldt0(xS)))
& ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10),stldt0(sbsmnsldt0(xS))) )
| ~ aInteger0(X10)
| equal(X10,sz00) )
& aElementOf0(esk16_0,stldt0(sbsmnsldt0(xS)))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ( ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(X8)
& ~ aElementOf0(X8,sbsmnsldt0(xS)) ) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ~ isClosed0(sbsmnsldt0(xS))
& ( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X5,sbsmnsldt0(xS))
| ( aInteger0(X5)
& aElementOf0(esk15_1(X5),xS)
& aElementOf0(X5,esk15_1(X5)) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(shift_quantors,[status(thm)],[241]) ).
fof(243,negated_conjecture,
! [X5,X7,X8,X10,X11,X13] :
( ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(esk16_0)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,esk16_0,X10)
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( aInteger0(esk17_2(X10,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( equal(sdtasdt0(X10,esk17_2(X10,X11)),sdtpldt0(X11,smndt0(esk16_0)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( aDivisorOf0(X10,sdtpldt0(X11,smndt0(esk16_0)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( sdteqdtlpzmzozddtrp0(X11,esk16_0,X10)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( aElementOf0(esk18_1(X10),szAzrzSzezqlpdtcmdtrp0(esk16_0,X10))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( ~ aElementOf0(esk18_1(X10),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk16_0,X10),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X10)
| equal(X10,sz00) )
& aElementOf0(esk16_0,stldt0(sbsmnsldt0(xS)))
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X8)
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X8,sbsmnsldt0(xS))
| ~ aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X8)
| aElementOf0(X8,sbsmnsldt0(xS))
| aElementOf0(X8,stldt0(sbsmnsldt0(xS))) )
& ~ isClosed0(sbsmnsldt0(xS))
& ( ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| ~ aInteger0(X5)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(esk15_1(X5),xS)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(X5,esk15_1(X5))
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& aSet0(sbsmnsldt0(xS)) ),
inference(distribute,[status(thm)],[242]) ).
cnf(249,negated_conjecture,
~ isClosed0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[243]) ).
fof(279,plain,
( aSet0(xS)
& ! [X1] :
( ( ~ aElementOf0(X1,xS)
| ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X3,sz00,X2) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& equal(szAzrzSzezqlpdtcmdtrp0(sz00,X2),X1) ) )
& ( ! [X2] :
( ~ aInteger0(X2)
| equal(X2,sz00)
| ~ isPrime0(X2)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(sz00))) )
& ~ aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X3,sz00,X2) )
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& ~ equal(szAzrzSzezqlpdtcmdtrp0(sz00,X2),X1) ) )
| aElementOf0(X1,xS) ) )
& equal(xS,cS2043) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(280,plain,
( aSet0(xS)
& ! [X5] :
( ( ~ aElementOf0(X5,xS)
| ? [X6] :
( aInteger0(X6)
& ~ equal(X6,sz00)
& isPrime0(X6)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X6))
& ! [X7] :
( ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,X6))
| ( aInteger0(X7)
& ? [X8] :
( aInteger0(X8)
& equal(sdtasdt0(X6,X8),sdtpldt0(X7,smndt0(sz00))) )
& aDivisorOf0(X6,sdtpldt0(X7,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X7,sz00,X6) ) )
& ( ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| ~ equal(sdtasdt0(X6,X9),sdtpldt0(X7,smndt0(sz00))) )
& ~ aDivisorOf0(X6,sdtpldt0(X7,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X7,sz00,X6) )
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,X6)) ) )
& equal(szAzrzSzezqlpdtcmdtrp0(sz00,X6),X5) ) )
& ( ! [X10] :
( ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ( aInteger0(X11)
& ? [X12] :
( aInteger0(X12)
& equal(sdtasdt0(X10,X12),sdtpldt0(X11,smndt0(sz00))) )
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X11,sz00,X10) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(sz00))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)) ) )
& ~ equal(szAzrzSzezqlpdtcmdtrp0(sz00,X10),X5) ) )
| aElementOf0(X5,xS) ) )
& equal(xS,cS2043) ),
inference(variable_rename,[status(thm)],[279]) ).
fof(281,plain,
( aSet0(xS)
& ! [X5] :
( ( ~ aElementOf0(X5,xS)
| ( aInteger0(esk19_1(X5))
& ~ equal(esk19_1(X5),sz00)
& isPrime0(esk19_1(X5))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
& ! [X7] :
( ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ( aInteger0(X7)
& aInteger0(esk20_2(X5,X7))
& equal(sdtasdt0(esk19_1(X5),esk20_2(X5,X7)),sdtpldt0(X7,smndt0(sz00)))
& aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5)) ) )
& ( ~ aInteger0(X7)
| ( ! [X9] :
( ~ aInteger0(X9)
| ~ equal(sdtasdt0(esk19_1(X5),X9),sdtpldt0(X7,smndt0(sz00))) )
& ~ aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5)) )
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5))) ) )
& equal(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)),X5) ) )
& ( ! [X10] :
( ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
& ! [X11] :
( ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ( aInteger0(X11)
& aInteger0(esk21_3(X5,X10,X11))
& equal(sdtasdt0(X10,esk21_3(X5,X10,X11)),sdtpldt0(X11,smndt0(sz00)))
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X11,sz00,X10) ) )
& ( ~ aInteger0(X11)
| ( ! [X13] :
( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(sz00))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10) )
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)) ) )
& ~ equal(szAzrzSzezqlpdtcmdtrp0(sz00,X10),X5) ) )
| aElementOf0(X5,xS) ) )
& equal(xS,cS2043) ),
inference(skolemize,[status(esa)],[280]) ).
fof(282,plain,
! [X5,X7,X9,X10,X11,X13] :
( ( ( ( ( ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(sz00))) )
& ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10) )
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10)) )
& ( ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ( aInteger0(X11)
& aInteger0(esk21_3(X5,X10,X11))
& equal(sdtasdt0(X10,esk21_3(X5,X10,X11)),sdtpldt0(X11,smndt0(sz00)))
& aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X11,sz00,X10) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
& ~ equal(szAzrzSzezqlpdtcmdtrp0(sz00,X10),X5) )
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ( ( ( ( ~ aInteger0(X9)
| ~ equal(sdtasdt0(esk19_1(X5),X9),sdtpldt0(X7,smndt0(sz00))) )
& ~ aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
& ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5)) )
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5))) )
& ( ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ( aInteger0(X7)
& aInteger0(esk20_2(X5,X7))
& equal(sdtasdt0(esk19_1(X5),esk20_2(X5,X7)),sdtpldt0(X7,smndt0(sz00)))
& aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5)) ) )
& aInteger0(esk19_1(X5))
& ~ equal(esk19_1(X5),sz00)
& isPrime0(esk19_1(X5))
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
& equal(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)),X5) )
| ~ aElementOf0(X5,xS) )
& aSet0(xS)
& equal(xS,cS2043) ),
inference(shift_quantors,[status(thm)],[281]) ).
fof(283,plain,
! [X5,X7,X9,X10,X11,X13] :
( ( ~ aInteger0(X13)
| ~ equal(sdtasdt0(X10,X13),sdtpldt0(X11,smndt0(sz00)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(esk21_3(X5,X10,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( equal(sdtasdt0(X10,esk21_3(X5,X10,X11)),sdtpldt0(X11,smndt0(sz00)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ equal(szAzrzSzezqlpdtcmdtrp0(sz00,X10),X5)
| ~ aInteger0(X10)
| equal(X10,sz00)
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aInteger0(X9)
| ~ equal(sdtasdt0(esk19_1(X5),X9),sdtpldt0(X7,smndt0(sz00)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(esk20_2(X5,X7))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( equal(sdtasdt0(esk19_1(X5),esk20_2(X5,X7)),sdtpldt0(X7,smndt0(sz00)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aDivisorOf0(esk19_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X7,sz00,esk19_1(X5))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(esk19_1(X5))
| ~ aElementOf0(X5,xS) )
& ( ~ equal(esk19_1(X5),sz00)
| ~ aElementOf0(X5,xS) )
& ( isPrime0(esk19_1(X5))
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( equal(szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X5)),X5)
| ~ aElementOf0(X5,xS) )
& aSet0(xS)
& equal(xS,cS2043) ),
inference(distribute,[status(thm)],[282]) ).
cnf(285,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(286,plain,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk19_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(289,plain,
( ~ aElementOf0(X1,xS)
| esk19_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(290,plain,
( aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[283]) ).
cnf(312,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(430,plain,
( sz00 = esk19_1(X1)
| isClosed0(X1)
| ~ aInteger0(sz00)
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[123,286,theory(equality)]) ).
cnf(431,plain,
( sz00 = esk19_1(X1)
| isClosed0(X1)
| $false
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(rw,[status(thm)],[430,312,theory(equality)]) ).
cnf(432,plain,
( sz00 = esk19_1(X1)
| isClosed0(X1)
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[431,theory(equality)]) ).
cnf(509,plain,
( sz00 = esk19_1(X1)
| aSubsetOf0(X1,cS1395)
| ~ aInteger0(sz00)
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[124,286,theory(equality)]) ).
cnf(511,plain,
( sz00 = esk19_1(X1)
| aSubsetOf0(X1,cS1395)
| $false
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(rw,[status(thm)],[509,312,theory(equality)]) ).
cnf(512,plain,
( sz00 = esk19_1(X1)
| aSubsetOf0(X1,cS1395)
| ~ aInteger0(esk19_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[511,theory(equality)]) ).
cnf(524,plain,
( isClosed0(sbsmnsldt0(xS))
| aElementOf0(esk6_1(xS),xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[154,116,theory(equality)]) ).
cnf(525,plain,
( aElementOf0(esk6_1(xS),xS)
| ~ aSet0(xS) ),
inference(sr,[status(thm)],[524,249,theory(equality)]) ).
cnf(1714,plain,
( esk19_1(X1) = sz00
| isClosed0(X1)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[432,290]) ).
cnf(1715,plain,
( isClosed0(X1)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[1714,289]) ).
cnf(1717,plain,
( isClosed0(sbsmnsldt0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(esk6_1(X1),cS1395)
| ~ aElementOf0(esk6_1(X1),xS) ),
inference(spm,[status(thm)],[153,1715,theory(equality)]) ).
cnf(2287,plain,
( ~ isFinite0(xS)
| ~ aElementOf0(esk6_1(xS),xS)
| ~ aSet0(xS)
| ~ aSubsetOf0(esk6_1(xS),cS1395) ),
inference(spm,[status(thm)],[249,1717,theory(equality)]) ).
cnf(2288,plain,
( $false
| ~ aElementOf0(esk6_1(xS),xS)
| ~ aSet0(xS)
| ~ aSubsetOf0(esk6_1(xS),cS1395) ),
inference(rw,[status(thm)],[2287,116,theory(equality)]) ).
cnf(2289,plain,
( ~ aElementOf0(esk6_1(xS),xS)
| ~ aSet0(xS)
| ~ aSubsetOf0(esk6_1(xS),cS1395) ),
inference(cn,[status(thm)],[2288,theory(equality)]) ).
cnf(2290,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(esk6_1(xS),cS1395) ),
inference(csr,[status(thm)],[2289,525]) ).
cnf(2508,plain,
( esk19_1(X1) = sz00
| aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[512,290]) ).
cnf(2509,plain,
( aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[2508,289]) ).
cnf(2530,plain,
( ~ aSet0(xS)
| ~ aElementOf0(esk6_1(xS),xS) ),
inference(spm,[status(thm)],[2290,2509,theory(equality)]) ).
cnf(2532,plain,
~ aSet0(xS),
inference(csr,[status(thm)],[2530,525]) ).
cnf(2534,plain,
$false,
inference(sr,[status(thm)],[285,2532,theory(equality)]) ).
cnf(2535,plain,
$false,
2534,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM449+6 : 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 : n048.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
% 0.02/0.24 % DateTime : Fri Jan 5 04:13:15 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.06/0.44 -running prover on /export/starexec/sandbox2/tmp/tmpNBfg9F/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.44 -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/tmpNBfg9F/sel_theBenchmark.p_1']
% 0.06/0.44 -prover status Theorem
% 0.06/0.44 Problem theBenchmark.p solved in phase 0.
% 0.06/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.44 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.44 Solved 1 out of 1.
% 0.06/0.44 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.44 # SZS status Theorem
% 0.06/0.44 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.44 # SZS output end CNFRefutation
%------------------------------------------------------------------------------