TSTP Solution File: NUM450+6 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:32:33 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 513 ( 84 equ)
% Maximal formula atoms : 116 ( 21 avg)
% Number of connectives : 706 ( 217 ~; 252 |; 199 &)
% ( 11 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 67 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 102 ( 15 sgn 69 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__2079,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = sz10
| X1 = smndt0(sz10) ) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2079) ).
fof(m__2046,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2046) ).
fof(m__2144,hypothesis,
( 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)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& 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))
& 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)
& X2 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& 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))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2144) ).
fof(c_0_4,negated_conjecture,
~ ? [X1] :
( aInteger0(X1)
& X1 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X1))
& ! [X2] :
( ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> ( aInteger0(X2)
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
& ( ( aInteger0(X2)
& ( ? [X3] :
( aInteger0(X3)
& sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(sz10)) )
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X2,sz10,X1) ) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1)) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [X2] :
( aElementOf0(X2,sbsmnsldt0(xS))
<=> ( aInteger0(X2)
& ? [X3] :
( aElementOf0(X3,xS)
& aElementOf0(X2,X3) ) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X2)
& ~ aElementOf0(X2,sbsmnsldt0(xS)) ) )
=> ( ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,X1))
=> aElementOf0(X2,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
! [X3,X3,X5,X6,X6,X7,X7] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X3)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(esk4_1(X3),xS)
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( aElementOf0(X3,esk4_1(X3))
| ~ aElementOf0(X3,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X3)
| ~ aElementOf0(X5,xS)
| ~ aElementOf0(X3,X5)
| aElementOf0(X3,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X6)
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X6,sbsmnsldt0(xS))
| ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sbsmnsldt0(xS))
| aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
| X7 = sz10
| X7 = smndt0(sz10) )
& ( X7 != sz10
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& ( X7 != smndt0(sz10)
| aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
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)],[inference(fof_simplification,[status(thm)],[m__2079])])])])])])])]) ).
fof(c_0_6,hypothesis,
! [X5,X7,X7,X9,X5,X10,X11,X11,X13] :
( aSet0(xS)
& ( aInteger0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( esk1_1(X5) != sz00
| ~ aElementOf0(X5,xS) )
& ( isPrime0(esk1_1(X5))
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(X7)
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aInteger0(esk2_2(X5,X7))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdtasdt0(esk1_1(X5),esk2_2(X5,X7)) = sdtpldt0(X7,smndt0(sz00))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
| ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aInteger0(X9)
| sdtasdt0(esk1_1(X5),X9) != sdtpldt0(X7,smndt0(sz00))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
| ~ aInteger0(X7)
| aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
| ~ aElementOf0(X5,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)) = X5
| ~ aElementOf0(X5,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aInteger0(esk3_3(X5,X10,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( sdtasdt0(X10,esk3_3(X5,X10,X11)) = sdtpldt0(X11,smndt0(sz00))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aInteger0(X13)
| sdtasdt0(X10,X13) != sdtpldt0(X11,smndt0(sz00))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10)
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X10) != X5
| ~ aInteger0(X10)
| X10 = sz00
| ~ isPrime0(X10)
| aElementOf0(X5,xS) )
& xS = cS2043 ),
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__2046])])])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X4,X5,X5,X7,X8,X8,X10,X11,X11] :
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aInteger0(esk11_2(X4,X5))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( sdtasdt0(X4,esk11_2(X4,X5)) = sdtpldt0(X5,smndt0(sz10))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X5,sz10,X4)
| ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aInteger0(X7)
| sdtasdt0(X4,X7) != sdtpldt0(X5,smndt0(sz10))
| ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aDivisorOf0(X4,sdtpldt0(X5,smndt0(sz10)))
| ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X5,sz10,X4)
| ~ aInteger0(X5)
| aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aSet0(sbsmnsldt0(xS))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aInteger0(X8)
| ~ aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aElementOf0(esk12_2(X4,X8),xS)
| ~ aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aElementOf0(X8,esk12_2(X4,X8))
| ~ aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aInteger0(X8)
| ~ aElementOf0(X10,xS)
| ~ aElementOf0(X8,X10)
| aElementOf0(X8,sbsmnsldt0(xS))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aInteger0(X11)
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aElementOf0(X11,sbsmnsldt0(xS))
| ~ aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aInteger0(X11)
| aElementOf0(X11,sbsmnsldt0(xS))
| aElementOf0(X11,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( aElementOf0(esk13_1(X4),szAzrzSzezqlpdtcmdtrp0(sz10,X4))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aElementOf0(esk13_1(X4),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| X4 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X4),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X4)
| X4 = sz00 ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])]) ).
cnf(c_0_8,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
! [X5,X5,X7,X8,X8,X9,X11,X11,X13,X14,X15,X15,X17,X18,X18,X19,X21,X21,X23,X24] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(esk5_1(X5),xS)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(X5,esk5_1(X5))
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X5)
| ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| aElementOf0(X5,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))) )
& ( aInteger0(esk6_1(X9))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( esk6_1(X9) != sz00
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk7_2(X9,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk6_1(X9),esk7_2(X9,X11)) = sdtpldt0(X11,smndt0(X9))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X13)
| sdtasdt0(esk6_1(X9),X13) != sdtpldt0(X11,smndt0(X9))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk6_1(X9),sdtpldt0(X11,smndt0(X9)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,X9,esk6_1(X9))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)))
| aElementOf0(X14,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk6_1(X9)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& isOpen0(stldt0(sbsmnsldt0(xS)))
& isClosed0(sbsmnsldt0(xS))
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X15)
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(esk8_1(X15),xS)
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aElementOf0(X15,esk8_1(X15))
| ~ aElementOf0(X15,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X15)
| ~ aElementOf0(X17,xS)
| ~ aElementOf0(X15,X17)
| aElementOf0(X15,sbsmnsldt0(xS)) )
& ( aInteger0(X18)
| ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X18,sbsmnsldt0(xS))
| ~ aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X18)
| aElementOf0(X18,sbsmnsldt0(xS))
| aElementOf0(X18,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk9_1(X19))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( esk9_1(X19) != sz00
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(X21)
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aInteger0(esk10_2(X19,X21))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( sdtasdt0(esk9_1(X19),esk10_2(X19,X21)) = sdtpldt0(X21,smndt0(X19))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19))
| ~ aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X23)
| sdtasdt0(esk9_1(X19),X23) != sdtpldt0(X21,smndt0(X19))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aDivisorOf0(esk9_1(X19),sdtpldt0(X21,smndt0(X19)))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ sdteqdtlpzmzozddtrp0(X21,X19,esk9_1(X19))
| ~ aInteger0(X21)
| aElementOf0(X21,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X24,szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)))
| aElementOf0(X24,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X19,esk9_1(X19)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X19,stldt0(sbsmnsldt0(xS))) ) ),
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)],[inference(fof_simplification,[status(thm)],[m__2144])])])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
stldt0(sbsmnsldt0(cS2043)) = cS2076,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)),stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
( aInteger0(esk6_1(X1))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| esk6_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( X1 = sz00
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X1),cS2076)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_12]) ).
cnf(c_0_17,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk6_1(X1)),cS2076)
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9]),c_0_12]),c_0_9]),c_0_12]) ).
cnf(c_0_18,hypothesis,
( aInteger0(esk6_1(X1))
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_9]),c_0_12]) ).
cnf(c_0_19,hypothesis,
( esk6_1(X1) != sz00
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_9]),c_0_12]) ).
cnf(c_0_20,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
~ aElementOf0(sz10,cS2076),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,hypothesis,
( aElementOf0(X1,cS2076)
| X1 != sz10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9]),c_0_12]) ).
cnf(c_0_23,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 : Wed Jul 6 19:52:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.037 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 24
% 0.23/1.41 # Proof object clause steps : 15
% 0.23/1.41 # Proof object formula steps : 9
% 0.23/1.41 # Proof object conjectures : 6
% 0.23/1.41 # Proof object clause conjectures : 3
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 7
% 0.23/1.41 # Proof object initial formulas used : 4
% 0.23/1.41 # Proof object generating inferences : 2
% 0.23/1.41 # Proof object simplifying inferences : 15
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 46
% 0.23/1.41 # Removed by relevancy pruning/SinE : 4
% 0.23/1.41 # Initial clauses : 195
% 0.23/1.41 # Removed in clause preprocessing : 5
% 0.23/1.41 # Initial clauses in saturation : 190
% 0.23/1.41 # Processed clauses : 229
% 0.23/1.41 # ...of these trivial : 5
% 0.23/1.41 # ...subsumed : 33
% 0.23/1.41 # ...remaining for further processing : 191
% 0.23/1.41 # Other redundant clauses eliminated : 7
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 1
% 0.23/1.41 # Backward-rewritten : 9
% 0.23/1.41 # Generated clauses : 764
% 0.23/1.41 # ...of the previous two non-trivial : 687
% 0.23/1.41 # Contextual simplify-reflections : 18
% 0.23/1.41 # Paramodulations : 748
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 15
% 0.23/1.41 # Current number of processed clauses : 180
% 0.23/1.41 # Positive orientable unit clauses : 13
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 1
% 0.23/1.41 # Non-unit-clauses : 166
% 0.23/1.41 # Current number of unprocessed clauses: 551
% 0.23/1.41 # ...number of literals in the above : 3255
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 11
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 8294
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 1763
% 0.23/1.41 # Non-unit clause-clause subsumptions : 51
% 0.23/1.41 # Unit Clause-clause subsumption calls : 100
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 1
% 0.23/1.41 # BW rewrite match successes : 1
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 28924
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.123 s
% 0.23/1.41 # System time : 0.004 s
% 0.23/1.41 # Total time : 0.127 s
% 0.23/1.41 # Maximum resident set size: 4464 pages
% 0.23/23.44 eprover: CPU time limit exceeded, terminating
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------