TSTP Solution File: NUM451+6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM451+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:11 EDT 2023
% Result : Theorem 6.23s 1.25s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 24
% Syntax : Number of formulae : 257 ( 80 unt; 0 def)
% Number of atoms : 971 ( 310 equ)
% Maximal formula atoms : 102 ( 3 avg)
% Number of connectives : 1119 ( 405 ~; 474 |; 194 &)
% ( 13 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 279 ( 1 sgn; 117 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2171,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& 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,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',m__2171) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mAddNeg) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mIntOne) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mMulZero) ).
fof(mArSeq,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mArSeq) ).
fof(mEquModSym,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mEquModSym) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mIntZero) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mZeroDiv) ).
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/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',m__2079) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mAddAsso) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mAddZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mAddComm) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mIntNeg) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mDistrib) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mMulOne) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mMulMinOne) ).
fof(m__,conjecture,
? [X1] :
( ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ~ ( ( X1 = sz10
| X1 = smndt0(sz10) )
& aElementOf0(X1,cS2200) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',m__) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mMulAsso) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mMulComm) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mIntPlus) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mIntMult) ).
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/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',m__2046) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mEquModRef) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p',mDivisor) ).
fof(c_0_24,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& 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,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(fof_simplification,[status(thm)],[m__2171]) ).
fof(c_0_25,hypothesis,
! [X155,X157,X158,X159,X161,X162,X163,X164] :
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ( aInteger0(X155)
| ~ aElementOf0(X155,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(esk26_1(X155))
| ~ aElementOf0(X155,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdtasdt0(xp,esk26_1(X155)) = sdtpldt0(X155,smndt0(sz10))
| ~ aElementOf0(X155,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aDivisorOf0(xp,sdtpldt0(X155,smndt0(sz10)))
| ~ aElementOf0(X155,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdteqdtlpzmzozddtrp0(X155,sz10,xp)
| ~ aElementOf0(X155,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aInteger0(X158)
| sdtasdt0(xp,X158) != sdtpldt0(X157,smndt0(sz10))
| ~ aInteger0(X157)
| aElementOf0(X157,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(X157,smndt0(sz10)))
| ~ aInteger0(X157)
| aElementOf0(X157,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(X157,sz10,xp)
| ~ aInteger0(X157)
| aElementOf0(X157,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X159)
| ~ aElementOf0(X159,sbsmnsldt0(xS)) )
& ( aElementOf0(esk27_1(X159),xS)
| ~ aElementOf0(X159,sbsmnsldt0(xS)) )
& ( aElementOf0(X159,esk27_1(X159))
| ~ aElementOf0(X159,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X161)
| ~ aElementOf0(X162,xS)
| ~ aElementOf0(X161,X162)
| aElementOf0(X161,sbsmnsldt0(xS)) )
& ( aInteger0(X163)
| ~ aElementOf0(X163,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X163,sbsmnsldt0(xS))
| ~ aElementOf0(X163,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X163)
| aElementOf0(X163,sbsmnsldt0(xS))
| aElementOf0(X163,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X164,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X164,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).
fof(c_0_26,plain,
! [X16] :
( ( sdtpldt0(X16,smndt0(X16)) = sz00
| ~ aInteger0(X16) )
& ( sz00 = sdtpldt0(smndt0(X16),X16)
| ~ aInteger0(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
cnf(c_0_27,hypothesis,
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(X2,smndt0(sz10))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
fof(c_0_30,plain,
! [X26] :
( ( sdtasdt0(X26,sz00) = sz00
| ~ aInteger0(X26) )
& ( sz00 = sdtasdt0(sz00,X26)
| ~ aInteger0(X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(c_0_31,plain,
! [X90,X91,X92,X93,X94,X95] :
( ( aSet0(X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( aInteger0(X93)
| ~ aElementOf0(X93,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X93,X90,X91)
| ~ aElementOf0(X93,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( ~ aInteger0(X94)
| ~ sdteqdtlpzmzozddtrp0(X94,X90,X91)
| aElementOf0(X94,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( ~ aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aInteger0(esk11_3(X90,X91,X95))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X90,X91,X95),X90,X91)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( aInteger0(esk11_3(X90,X91,X95))
| aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk11_3(X90,X91,X95),X90,X91)
| aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeq])])])])])]) ).
fof(c_0_32,plain,
! [X40,X41,X42] :
( ~ aInteger0(X40)
| ~ aInteger0(X41)
| ~ aInteger0(X42)
| X42 = sz00
| ~ sdteqdtlpzmzozddtrp0(X40,X41,X42)
| sdteqdtlpzmzozddtrp0(X41,X40,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
cnf(c_0_33,hypothesis,
( sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,hypothesis,
( aInteger0(esk26_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,hypothesis,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_36,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_38,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( aElementOf0(X1,X4)
| X3 = sz00
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtpldt0(X2,smndt0(sz10)) != sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_33]),c_0_34]) ).
cnf(c_0_45,hypothesis,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
fof(c_0_46,plain,
! [X28,X29] :
( ~ aInteger0(X28)
| ~ aInteger0(X29)
| sdtasdt0(X28,X29) != sz00
| X28 = sz00
| X29 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
cnf(c_0_47,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_48,hypothesis,
( sdteqdtlpzmzozddtrp0(sz10,X1,xp)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),c_0_29])]),c_0_42]),c_0_43]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtpldt0(sz10,smndt0(sz10)) != sdtpldt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( X1 = sz00
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_38]),c_0_29])]),c_0_42]),c_0_43]) ).
cnf(c_0_52,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29])]) ).
cnf(c_0_53,hypothesis,
( esk26_1(X1) = sz00
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_38])]),c_0_42]),c_0_34]) ).
cnf(c_0_54,hypothesis,
( aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(X1,xp))
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,hypothesis,
( esk26_1(sz10) = sz00
| sdtpldt0(sz10,smndt0(sz10)) != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_29])]) ).
fof(c_0_56,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 ),
inference(fof_simplification,[status(thm)],[m__2079]) ).
cnf(c_0_57,hypothesis,
esk26_1(sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_29])]) ).
fof(c_0_58,hypothesis,
! [X125,X127,X128,X129,X130] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X125)
| ~ aElementOf0(X125,sbsmnsldt0(xS)) )
& ( aElementOf0(esk19_1(X125),xS)
| ~ aElementOf0(X125,sbsmnsldt0(xS)) )
& ( aElementOf0(X125,esk19_1(X125))
| ~ aElementOf0(X125,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X127)
| ~ aElementOf0(X128,xS)
| ~ aElementOf0(X127,X128)
| aElementOf0(X127,sbsmnsldt0(xS)) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aInteger0(X129)
| ~ aElementOf0(X129,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X129,sbsmnsldt0(xS))
| ~ aElementOf0(X129,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X129)
| aElementOf0(X129,sbsmnsldt0(xS))
| aElementOf0(X129,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X130,stldt0(sbsmnsldt0(xS)))
| X130 = sz10
| X130 = smndt0(sz10) )
& ( X130 != sz10
| aElementOf0(X130,stldt0(sbsmnsldt0(xS))) )
& ( X130 != smndt0(sz10)
| aElementOf0(X130,stldt0(sbsmnsldt0(xS))) )
& stldt0(sbsmnsldt0(xS)) = cS2076 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])])]) ).
cnf(c_0_59,hypothesis,
sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_57]),c_0_45])]) ).
cnf(c_0_60,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_61,plain,
! [X10,X11,X12] :
( ~ aInteger0(X10)
| ~ aInteger0(X11)
| ~ aInteger0(X12)
| sdtpldt0(X10,sdtpldt0(X11,X12)) = sdtpldt0(sdtpldt0(X10,X11),X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_62,hypothesis,
sdtasdt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_29])]) ).
cnf(c_0_63,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,hypothesis,
aElementOf0(smndt0(sz10),stldt0(sbsmnsldt0(xS))),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,hypothesis,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(rw,[status(thm)],[c_0_59,c_0_62]) ).
cnf(c_0_67,hypothesis,
aInteger0(smndt0(sz10)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_68,plain,
! [X15] :
( ( sdtpldt0(X15,sz00) = X15
| ~ aInteger0(X15) )
& ( X15 = sdtpldt0(sz00,X15)
| ~ aInteger0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_69,hypothesis,
( sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_29])]) ).
cnf(c_0_70,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_72,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,hypothesis,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_29])]) ).
cnf(c_0_74,hypothesis,
( esk26_1(X1) = sz00
| sdtpldt0(X1,smndt0(sz10)) != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
cnf(c_0_75,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_76,hypothesis,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_28]),c_0_29])]) ).
cnf(c_0_77,hypothesis,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_29])]) ).
cnf(c_0_78,hypothesis,
( esk26_1(smndt0(smndt0(sz10))) = sz00
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_70]),c_0_67])]) ).
cnf(c_0_79,hypothesis,
( aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_70]),c_0_67])]) ).
cnf(c_0_80,hypothesis,
aDivisorOf0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_45])]) ).
cnf(c_0_81,hypothesis,
sdtpldt0(sz10,sz00) = sz10,
inference(rw,[status(thm)],[c_0_73,c_0_77]) ).
fof(c_0_82,plain,
! [X13,X14] :
( ~ aInteger0(X13)
| ~ aInteger0(X14)
| sdtpldt0(X13,X14) = sdtpldt0(X14,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_83,hypothesis,
( sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) = sz00
| ~ aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_62]),c_0_43]) ).
cnf(c_0_84,hypothesis,
( aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_85,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_86,hypothesis,
( sdtpldt0(sz00,smndt0(smndt0(sz10))) = sz10
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_28]),c_0_67])]),c_0_81]) ).
fof(c_0_87,plain,
! [X5] :
( ~ aInteger0(X5)
| aInteger0(smndt0(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_88,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,hypothesis,
( sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) = sz00
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,hypothesis,
( smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,hypothesis,
( sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) = sz00
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_67])]) ).
cnf(c_0_93,hypothesis,
smndt0(smndt0(sz10)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_67])]) ).
fof(c_0_94,plain,
! [X23,X24,X25] :
( ( sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25))
| ~ aInteger0(X23)
| ~ aInteger0(X24)
| ~ aInteger0(X25) )
& ( sdtasdt0(sdtpldt0(X23,X24),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X24,X25))
| ~ aInteger0(X23)
| ~ aInteger0(X24)
| ~ aInteger0(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
fof(c_0_95,plain,
! [X22] :
( ( sdtasdt0(X22,sz10) = X22
| ~ aInteger0(X22) )
& ( X22 = sdtasdt0(sz10,X22)
| ~ aInteger0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
cnf(c_0_96,hypothesis,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_93]),c_0_29])]) ).
cnf(c_0_97,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_98,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
fof(c_0_99,plain,
! [X27] :
( ( sdtasdt0(smndt0(sz10),X27) = smndt0(X27)
| ~ aInteger0(X27) )
& ( smndt0(X27) = sdtasdt0(X27,smndt0(sz10))
| ~ aInteger0(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
cnf(c_0_100,hypothesis,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_96]),c_0_29]),c_0_67])]) ).
fof(c_0_101,negated_conjecture,
~ ? [X1] :
( ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ~ ( ( X1 = sz10
| X1 = smndt0(sz10) )
& aElementOf0(X1,cS2200) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_102,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_29])]) ).
cnf(c_0_103,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,hypothesis,
sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_28]),c_0_67]),c_0_29])]) ).
fof(c_0_105,negated_conjecture,
! [X165,X166] :
( ( X165 = sz10
| X165 = smndt0(sz10)
| ~ aInteger0(X166)
| sdtasdt0(xp,X166) != sdtpldt0(X165,smndt0(sz10))
| ~ aInteger0(X165) )
& ( aElementOf0(X165,cS2200)
| ~ aInteger0(X166)
| sdtasdt0(xp,X166) != sdtpldt0(X165,smndt0(sz10))
| ~ aInteger0(X165) )
& ( X165 = sz10
| X165 = smndt0(sz10)
| ~ aDivisorOf0(xp,sdtpldt0(X165,smndt0(sz10)))
| ~ aInteger0(X165) )
& ( aElementOf0(X165,cS2200)
| ~ aDivisorOf0(xp,sdtpldt0(X165,smndt0(sz10)))
| ~ aInteger0(X165) )
& ( X165 = sz10
| X165 = smndt0(sz10)
| ~ sdteqdtlpzmzozddtrp0(X165,sz10,xp)
| ~ aInteger0(X165) )
& ( aElementOf0(X165,cS2200)
| ~ sdteqdtlpzmzozddtrp0(X165,sz10,xp)
| ~ aInteger0(X165) )
& ( X165 = sz10
| X165 = smndt0(sz10)
| ~ aElementOf0(X165,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X165,cS2200)
| ~ aElementOf0(X165,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])]) ).
fof(c_0_106,plain,
! [X17,X18,X19] :
( ~ aInteger0(X17)
| ~ aInteger0(X18)
| ~ aInteger0(X19)
| sdtasdt0(X17,sdtasdt0(X18,X19)) = sdtasdt0(sdtasdt0(X17,X18),X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_107,hypothesis,
sdtasdt0(xp,sz10) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_62]),c_0_77]),c_0_37]),c_0_38])]) ).
cnf(c_0_108,plain,
( sdtpldt0(sdtasdt0(X1,X2),smndt0(X1)) = sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_103]),c_0_67])]) ).
cnf(c_0_109,hypothesis,
sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_104]),c_0_67])]) ).
fof(c_0_110,plain,
! [X20,X21] :
( ~ aInteger0(X20)
| ~ aInteger0(X21)
| sdtasdt0(X20,X21) = sdtasdt0(X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_111,negated_conjecture,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_112,plain,
! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| aInteger0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_113,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_114,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_115,hypothesis,
sdtpldt0(sz00,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_107]),c_0_38])]) ).
cnf(c_0_116,hypothesis,
sdtasdt0(xp,smndt0(sz10)) = sdtpldt0(sz00,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_62]),c_0_109]),c_0_37]),c_0_38])]) ).
cnf(c_0_117,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_119,negated_conjecture,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_70]),c_0_67])]) ).
cnf(c_0_120,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_121,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_67])]) ).
cnf(c_0_122,hypothesis,
sdtasdt0(xp,sz10) = xp,
inference(rw,[status(thm)],[c_0_107,c_0_115]) ).
fof(c_0_123,plain,
! [X8,X9] :
( ~ aInteger0(X8)
| ~ aInteger0(X9)
| aInteger0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_124,hypothesis,
sdtpldt0(sz00,smndt0(xp)) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_116]),c_0_38])]) ).
cnf(c_0_125,hypothesis,
sdtasdt0(sz00,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_62]),c_0_37]),c_0_38])]) ).
cnf(c_0_126,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_103]),c_0_67]),c_0_37])]) ).
fof(c_0_127,hypothesis,
! [X113,X115,X117,X118,X119,X120,X121,X123,X124] :
( aSet0(xS)
& ( aInteger0(esk16_1(X113))
| ~ aElementOf0(X113,xS) )
& ( esk16_1(X113) != sz00
| ~ aElementOf0(X113,xS) )
& ( isPrime0(esk16_1(X113))
| ~ aElementOf0(X113,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aInteger0(X115)
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aInteger0(esk17_2(X113,X115))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( sdtasdt0(esk16_1(X113),esk17_2(X113,X115)) = sdtpldt0(X115,smndt0(sz00))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aDivisorOf0(esk16_1(X113),sdtpldt0(X115,smndt0(sz00)))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( sdteqdtlpzmzozddtrp0(X115,sz00,esk16_1(X113))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ aInteger0(X118)
| sdtasdt0(esk16_1(X113),X118) != sdtpldt0(X117,smndt0(sz00))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ aDivisorOf0(esk16_1(X113),sdtpldt0(X117,smndt0(sz00)))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X117,sz00,esk16_1(X113))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)) = X113
| ~ aElementOf0(X113,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aInteger0(X121)
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aInteger0(esk18_3(X119,X120,X121))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( sdtasdt0(X120,esk18_3(X119,X120,X121)) = sdtpldt0(X121,smndt0(sz00))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aDivisorOf0(X120,sdtpldt0(X121,smndt0(sz00)))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( sdteqdtlpzmzozddtrp0(X121,sz00,X120)
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ aInteger0(X124)
| sdtasdt0(X120,X124) != sdtpldt0(X123,smndt0(sz00))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ aDivisorOf0(X120,sdtpldt0(X123,smndt0(sz00)))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X123,sz00,X120)
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X120) != X119
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& xS = cS2043 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2046])])])])])]) ).
cnf(c_0_128,negated_conjecture,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10
| ~ aInteger0(smndt0(smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_80])]) ).
cnf(c_0_129,hypothesis,
( aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_69]),c_0_29])]) ).
cnf(c_0_130,hypothesis,
sdtasdt0(smndt0(xp),sz10) = sdtasdt0(smndt0(sz10),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_29]),c_0_38])]) ).
cnf(c_0_131,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_132,hypothesis,
sdtasdt0(xp,smndt0(sz10)) = smndt0(xp),
inference(rw,[status(thm)],[c_0_116,c_0_124]) ).
cnf(c_0_133,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_134,hypothesis,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_125]),c_0_126]),c_0_125]),c_0_38]),c_0_37])]) ).
cnf(c_0_135,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X2)))
| ~ aElementOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_136,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_137,plain,
! [X38,X39] :
( ~ aInteger0(X38)
| ~ aInteger0(X39)
| X39 = sz00
| sdteqdtlpzmzozddtrp0(X38,X38,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModRef])]) ).
cnf(c_0_138,negated_conjecture,
( smndt0(smndt0(sz10)) = smndt0(sz10)
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_91]),c_0_67])]) ).
cnf(c_0_139,hypothesis,
( sdtpldt0(sz10,sdtpldt0(sz00,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_81]),c_0_37]),c_0_29])]) ).
cnf(c_0_140,hypothesis,
( aInteger0(sdtpldt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_120]),c_0_67])]) ).
cnf(c_0_141,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_65]),c_0_120]) ).
cnf(c_0_142,hypothesis,
( sdtasdt0(smndt0(sz10),xp) = smndt0(xp)
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_98,c_0_130]) ).
cnf(c_0_143,hypothesis,
aInteger0(smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_67]),c_0_38])]) ).
cnf(c_0_144,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_133]),c_0_29])]) ).
cnf(c_0_145,hypothesis,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_134]),c_0_134]),c_0_93]),c_0_37]),c_0_67])]) ).
cnf(c_0_146,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_147,hypothesis,
( aElementOf0(esk27_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_148,plain,
( X2 = sz00
| sdteqdtlpzmzozddtrp0(X1,X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_149,negated_conjecture,
( sdtpldt0(smndt0(sz10),smndt0(sz10)) = sz00
| smndt0(smndt0(sz10)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_138]),c_0_67])]) ).
cnf(c_0_150,hypothesis,
( X1 = sz10
| X1 = smndt0(sz10)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_151,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_152,hypothesis,
( sdtpldt0(sz00,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_77]),c_0_29]),c_0_37])]) ).
cnf(c_0_153,hypothesis,
( sdtpldt0(sz10,sdtpldt0(X1,sz00)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_88]),c_0_37])]) ).
cnf(c_0_154,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_65]),c_0_120]) ).
cnf(c_0_155,hypothesis,
( aInteger0(sdtpldt0(sz10,X1))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_139]),c_0_29])]),c_0_140]) ).
cnf(c_0_156,hypothesis,
( aInteger0(sdtpldt0(X1,xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_115]),c_0_38]),c_0_37])]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(smndt0(sz10),xp) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
cnf(c_0_158,hypothesis,
sdtasdt0(sz10,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_115]),c_0_145]),c_0_115]),c_0_38]),c_0_37])]) ).
cnf(c_0_159,plain,
( sdtpldt0(smndt0(X1),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(smndt0(sz10),X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_103]),c_0_67])]) ).
cnf(c_0_160,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_161,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aElementOf0(X1,esk27_1(X2)) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_162,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_148]) ).
cnf(c_0_163,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_164,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_165,negated_conjecture,
( sdtpldt0(sz00,smndt0(sz10)) = sz10
| smndt0(smndt0(sz10)) = sz10 ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_149]),c_0_67])]),c_0_81]) ).
cnf(c_0_166,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_167,hypothesis,
( sdtpldt0(sz00,sdtpldt0(X1,sz10)) = sdtpldt0(X1,sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_88]),c_0_29])]) ).
cnf(c_0_168,hypothesis,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_77]),c_0_29]),c_0_37])]) ).
cnf(c_0_169,hypothesis,
( aInteger0(sdtpldt0(X1,sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_88]),c_0_29])]) ).
cnf(c_0_170,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_29])]) ).
cnf(c_0_171,hypothesis,
( aInteger0(sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_88]),c_0_38])]) ).
cnf(c_0_172,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_97]),c_0_131]),c_0_131]) ).
cnf(c_0_173,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(xp,sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_157]),c_0_38]),c_0_67])]) ).
cnf(c_0_174,hypothesis,
( sdtasdt0(smndt0(sz10),smndt0(xp)) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_142]),c_0_93]),c_0_158]),c_0_38]),c_0_67])]) ).
cnf(c_0_175,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(sz10),xp)) = sdtpldt0(sz10,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_157]),c_0_93]),c_0_38]),c_0_67])]) ).
cnf(c_0_176,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(smndt0(xp),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_157]),c_0_93]),c_0_38]),c_0_67])]) ).
cnf(c_0_177,hypothesis,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aElementOf0(X1,esk27_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_147]),c_0_161]) ).
cnf(c_0_178,hypothesis,
( aElementOf0(sz00,X1)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_136]),c_0_37])]),c_0_163]),c_0_164]) ).
cnf(c_0_179,plain,
( smndt0(sz10) = sz00
| X1 = sz00
| smndt0(X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_114]),c_0_67])]) ).
cnf(c_0_180,negated_conjecture,
( smndt0(smndt0(sz10)) = sz10
| smndt0(sz10) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_165]),c_0_67])]) ).
cnf(c_0_181,hypothesis,
( smndt0(sz10) = sz00
| sz10 = sz00
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_166,c_0_37]) ).
cnf(c_0_182,hypothesis,
sdtpldt0(sz00,sdtpldt0(sz10,sz10)) = sdtpldt0(sz10,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_29])]) ).
cnf(c_0_183,hypothesis,
aInteger0(sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_168]),c_0_29])]) ).
cnf(c_0_184,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xp)) = sdtpldt0(smndt0(sz10),smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_157]),c_0_38]),c_0_67])]) ).
cnf(c_0_185,hypothesis,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_168]),c_0_29]),c_0_38])]) ).
cnf(c_0_186,hypothesis,
aInteger0(sdtpldt0(smndt0(xp),smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_29]),c_0_38]),c_0_67])]) ).
cnf(c_0_187,hypothesis,
sdtasdt0(smndt0(sz10),smndt0(xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_143])]) ).
cnf(c_0_188,hypothesis,
sdtpldt0(smndt0(xp),sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_88]),c_0_176]),c_0_38]),c_0_67])]) ).
fof(c_0_189,plain,
! [X30,X31,X33,X34] :
( ( aInteger0(X31)
| ~ aDivisorOf0(X31,X30)
| ~ aInteger0(X30) )
& ( X31 != sz00
| ~ aDivisorOf0(X31,X30)
| ~ aInteger0(X30) )
& ( aInteger0(esk1_2(X30,X31))
| ~ aDivisorOf0(X31,X30)
| ~ aInteger0(X30) )
& ( sdtasdt0(X31,esk1_2(X30,X31)) = X30
| ~ aDivisorOf0(X31,X30)
| ~ aInteger0(X30) )
& ( ~ aInteger0(X33)
| X33 = sz00
| ~ aInteger0(X34)
| sdtasdt0(X33,X34) != X30
| aDivisorOf0(X33,X30)
| ~ aInteger0(X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivisor])])])])])]) ).
cnf(c_0_190,hypothesis,
( aElementOf0(sz00,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X1) != smndt0(sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_85]),c_0_37]),c_0_67])]) ).
cnf(c_0_191,hypothesis,
( aElementOf0(sz00,sbsmnsldt0(xS))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_147]) ).
cnf(c_0_192,hypothesis,
( smndt0(sz10) = xp
| xp = sz10
| aElementOf0(xp,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_166,c_0_38]) ).
cnf(c_0_193,negated_conjecture,
( smndt0(sz10) = sz10
| smndt0(sz10) = sz00
| sz10 != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_67])]) ).
cnf(c_0_194,hypothesis,
( sdtpldt0(sz00,sz10) = sz00
| sz10 = sz00
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_181]),c_0_29])]) ).
cnf(c_0_195,hypothesis,
( aInteger0(sdtpldt0(X1,sdtpldt0(sz10,sz10)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_182]),c_0_183]),c_0_37])]) ).
cnf(c_0_196,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_91]) ).
cnf(c_0_197,hypothesis,
sdtpldt0(smndt0(sz10),smndt0(xp)) = smndt0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_184]),c_0_185])]) ).
cnf(c_0_198,hypothesis,
aInteger0(sdtpldt0(smndt0(sz10),smndt0(xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_88]),c_0_67]),c_0_143])]) ).
cnf(c_0_199,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = sdtpldt0(xp,smndt0(sz10)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_187]),c_0_143]),c_0_67])]),c_0_188]) ).
cnf(c_0_200,plain,
( X1 = sz00
| aDivisorOf0(X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_201,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_202,hypothesis,
( aElementOf0(sz00,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| smndt0(sz10) != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_203,hypothesis,
( smndt0(sz10) = xp
| xp = sz10
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_204,negated_conjecture,
( smndt0(sz10) = sz00
| sz10 != sz00 ),
inference(ef,[status(thm)],[c_0_193]) ).
cnf(c_0_205,hypothesis,
( sz10 = sz00
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_194]),c_0_29])]) ).
cnf(c_0_206,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_207,hypothesis,
( aInteger0(sdtpldt0(sz10,sdtpldt0(sz10,X1)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_154]),c_0_29])]) ).
cnf(c_0_208,hypothesis,
sdtpldt0(sz10,smndt0(sdtpldt0(sz10,xp))) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_93]),c_0_124]),c_0_143]),c_0_67])]) ).
cnf(c_0_209,hypothesis,
aInteger0(smndt0(sdtpldt0(sz10,xp))),
inference(rw,[status(thm)],[c_0_198,c_0_197]) ).
cnf(c_0_210,hypothesis,
sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_187]),c_0_143]),c_0_67])]),c_0_199]) ).
cnf(c_0_211,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_200]),c_0_131]) ).
cnf(c_0_212,hypothesis,
sdtasdt0(smndt0(sz10),smndt0(sz10)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_134]),c_0_93]),c_0_77]),c_0_109]),c_0_37]),c_0_67])]) ).
cnf(c_0_213,hypothesis,
sdtasdt0(sz10,smndt0(sz10)) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_109]),c_0_145]),c_0_109]),c_0_67]),c_0_37])]) ).
cnf(c_0_214,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_215,hypothesis,
( aElementOf0(sz00,stldt0(sbsmnsldt0(xS)))
| smndt0(sz10) != sz00 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_216,hypothesis,
( xp = sz10
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_42]),c_0_205]) ).
cnf(c_0_217,plain,
( sdtpldt0(sdtasdt0(X1,X2),smndt0(X2)) = sdtasdt0(sdtpldt0(X1,smndt0(sz10)),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_114]),c_0_67])]) ).
cnf(c_0_218,hypothesis,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209])]) ).
cnf(c_0_219,negated_conjecture,
( sdtpldt0(X1,X2) = smndt0(sz10)
| sdtpldt0(X1,X2) = sz10
| ~ aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_65]),c_0_67])]),c_0_120]) ).
cnf(c_0_220,hypothesis,
sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_210]),c_0_93]),c_0_115]),c_0_38]),c_0_67])]) ).
cnf(c_0_221,hypothesis,
aDivisorOf0(xp,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_122]),c_0_29]),c_0_38])]),c_0_42]) ).
cnf(c_0_222,hypothesis,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_212]),c_0_93]),c_0_213]),c_0_67])]) ).
cnf(c_0_223,hypothesis,
( smndt0(sz10) != sz00
| ~ aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,hypothesis,
aElementOf0(sz00,sbsmnsldt0(xS)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_216]),c_0_205]) ).
cnf(c_0_225,plain,
( sdtpldt0(X1,sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(sz10,X2),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_133]),c_0_29])]) ).
cnf(c_0_226,hypothesis,
sdtasdt0(sdtpldt0(xp,smndt0(sz10)),smndt0(sz10)) = sdtpldt0(sz10,smndt0(xp)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_132]),c_0_93]),c_0_67]),c_0_38])]),c_0_188]) ).
cnf(c_0_227,hypothesis,
aInteger0(sdtpldt0(xp,smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_199]),c_0_218]),c_0_67])]) ).
cnf(c_0_228,negated_conjecture,
( sdtpldt0(sz10,xp) = smndt0(sz10)
| sdtpldt0(sz10,xp) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_38]),c_0_29])]) ).
cnf(c_0_229,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10)) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_222]),c_0_29]),c_0_67])]) ).
cnf(c_0_230,hypothesis,
( smndt0(smndt0(xp)) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_114,c_0_174]) ).
cnf(c_0_231,hypothesis,
smndt0(sz10) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).
cnf(c_0_232,negated_conjecture,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_88]),c_0_67])]) ).
cnf(c_0_233,hypothesis,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xp))) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_220]),c_0_116]),c_0_124]),c_0_67]),c_0_227])]) ).
cnf(c_0_234,hypothesis,
aDivisorOf0(xp,smndt0(xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_132]),c_0_67]),c_0_38])]),c_0_42]) ).
cnf(c_0_235,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_65]),c_0_120]) ).
cnf(c_0_236,hypothesis,
( sdtpldt0(sz10,sz10) = smndt0(xp)
| sdtpldt0(sz10,xp) = sz10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_228]),c_0_93]) ).
cnf(c_0_237,hypothesis,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = smndt0(sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_229]),c_0_183])]) ).
cnf(c_0_238,hypothesis,
sdtasdt0(smndt0(xp),smndt0(sz10)) = xp,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_132]),c_0_67]),c_0_38])]),c_0_187]) ).
cnf(c_0_239,hypothesis,
smndt0(smndt0(xp)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_143])]) ).
cnf(c_0_240,hypothesis,
aInteger0(sdtpldt0(smndt0(sz10),smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_229]),c_0_183]),c_0_67])]) ).
cnf(c_0_241,hypothesis,
( smndt0(xp) != sz00
| ~ aInteger0(smndt0(xp)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_142]),c_0_38]),c_0_67])]),c_0_42]),c_0_231]) ).
cnf(c_0_242,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_218])]) ).
cnf(c_0_243,hypothesis,
sdtpldt0(sz10,sz10) = smndt0(xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_220]),c_0_67]),c_0_38]),c_0_29])]),c_0_42]) ).
cnf(c_0_244,hypothesis,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xp)) = smndt0(sdtpldt0(sz10,xp)),
inference(rw,[status(thm)],[c_0_184,c_0_197]) ).
cnf(c_0_245,hypothesis,
sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10))) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_237]),c_0_93]),c_0_109]),c_0_67])]) ).
cnf(c_0_246,hypothesis,
sdtasdt0(smndt0(xp),smndt0(sdtpldt0(sz10,sz10))) = sdtpldt0(xp,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_238]),c_0_239]),c_0_237]),c_0_67]),c_0_143])]) ).
cnf(c_0_247,hypothesis,
aInteger0(smndt0(sdtpldt0(sz10,sz10))),
inference(rw,[status(thm)],[c_0_240,c_0_237]) ).
cnf(c_0_248,hypothesis,
smndt0(xp) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_91]),c_0_38])]) ).
cnf(c_0_249,negated_conjecture,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| smndt0(xp) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_242]),c_0_237]),c_0_243]),c_0_239]),c_0_124]),c_0_143]),c_0_29])]) ).
cnf(c_0_250,hypothesis,
sdtpldt0(smndt0(xp),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xp)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_88]),c_0_29]),c_0_38])]),c_0_244]) ).
cnf(c_0_251,hypothesis,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_243]),c_0_239]) ).
cnf(c_0_252,hypothesis,
( smndt0(sdtpldt0(sz10,sz10)) = sz00
| sdtpldt0(xp,xp) != sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_246]),c_0_247]),c_0_143])]),c_0_248]) ).
cnf(c_0_253,hypothesis,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_122]),c_0_96]),c_0_62]),c_0_29]),c_0_38])]) ).
cnf(c_0_254,negated_conjecture,
smndt0(xp) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_249]),c_0_250]),c_0_251]),c_0_93]),c_0_243]),c_0_67]),c_0_143]),c_0_29])]),c_0_248]) ).
cnf(c_0_255,hypothesis,
sdtpldt0(xp,xp) != sz00,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_243]),c_0_239]),c_0_42]) ).
cnf(c_0_256,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254]),c_0_255]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM451+6 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 14:07:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 Running first-order model finding
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.G0JAYoXLl3/E---3.1_9130.p
% 6.23/1.25 # Version: 3.1pre001
% 6.23/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.23/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.23/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.23/1.25 # Starting new_bool_3 with 300s (1) cores
% 6.23/1.25 # Starting new_bool_1 with 300s (1) cores
% 6.23/1.25 # Starting sh5l with 300s (1) cores
% 6.23/1.25 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 9207 completed with status 0
% 6.23/1.25 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.23/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.23/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.23/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.23/1.25 # No SInE strategy applied
% 6.23/1.25 # Search class: FGHSF-FSLM31-SFFFFFNN
% 6.23/1.25 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.23/1.25 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 666s (1) cores
% 6.23/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.23/1.25 # Starting new_bool_3 with 194s (1) cores
% 6.23/1.25 # Starting new_bool_1 with 188s (1) cores
% 6.23/1.25 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 6.23/1.25 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 9212 completed with status 0
% 6.23/1.25 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.23/1.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.23/1.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.23/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.23/1.25 # No SInE strategy applied
% 6.23/1.25 # Search class: FGHSF-FSLM31-SFFFFFNN
% 6.23/1.25 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.23/1.25 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 666s (1) cores
% 6.23/1.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.23/1.25 # Preprocessing time : 0.004 s
% 6.23/1.25 # Presaturation interreduction done
% 6.23/1.25
% 6.23/1.25 # Proof found!
% 6.23/1.25 # SZS status Theorem
% 6.23/1.25 # SZS output start CNFRefutation
% See solution above
% 6.23/1.25 # Parsed axioms : 47
% 6.23/1.25 # Removed by relevancy pruning/SinE : 0
% 6.23/1.25 # Initial clauses : 224
% 6.23/1.25 # Removed in clause preprocessing : 5
% 6.23/1.25 # Initial clauses in saturation : 219
% 6.23/1.25 # Processed clauses : 6464
% 6.23/1.25 # ...of these trivial : 220
% 6.23/1.25 # ...subsumed : 4214
% 6.23/1.25 # ...remaining for further processing : 2030
% 6.23/1.25 # Other redundant clauses eliminated : 108
% 6.23/1.25 # Clauses deleted for lack of memory : 0
% 6.23/1.25 # Backward-subsumed : 243
% 6.23/1.25 # Backward-rewritten : 432
% 6.23/1.25 # Generated clauses : 34347
% 6.23/1.25 # ...of the previous two non-redundant : 30524
% 6.23/1.25 # ...aggressively subsumed : 0
% 6.23/1.25 # Contextual simplify-reflections : 354
% 6.23/1.25 # Paramodulations : 34206
% 6.23/1.25 # Factorizations : 16
% 6.23/1.25 # NegExts : 0
% 6.23/1.25 # Equation resolutions : 119
% 6.23/1.25 # Total rewrite steps : 39308
% 6.23/1.25 # Propositional unsat checks : 0
% 6.23/1.25 # Propositional check models : 0
% 6.23/1.25 # Propositional check unsatisfiable : 0
% 6.23/1.25 # Propositional clauses : 0
% 6.23/1.25 # Propositional clauses after purity: 0
% 6.23/1.25 # Propositional unsat core size : 0
% 6.23/1.25 # Propositional preprocessing time : 0.000
% 6.23/1.25 # Propositional encoding time : 0.000
% 6.23/1.25 # Propositional solver time : 0.000
% 6.23/1.25 # Success case prop preproc time : 0.000
% 6.23/1.25 # Success case prop encoding time : 0.000
% 6.23/1.25 # Success case prop solver time : 0.000
% 6.23/1.25 # Current number of processed clauses : 1113
% 6.23/1.25 # Positive orientable unit clauses : 203
% 6.23/1.25 # Positive unorientable unit clauses: 0
% 6.23/1.25 # Negative unit clauses : 86
% 6.23/1.25 # Non-unit-clauses : 824
% 6.23/1.25 # Current number of unprocessed clauses: 23927
% 6.23/1.25 # ...number of literals in the above : 113577
% 6.23/1.25 # Current number of archived formulas : 0
% 6.23/1.25 # Current number of archived clauses : 882
% 6.23/1.25 # Clause-clause subsumption calls (NU) : 165903
% 6.23/1.25 # Rec. Clause-clause subsumption calls : 69050
% 6.23/1.25 # Non-unit clause-clause subsumptions : 2520
% 6.23/1.25 # Unit Clause-clause subsumption calls : 64775
% 6.23/1.25 # Rewrite failures with RHS unbound : 0
% 6.23/1.25 # BW rewrite match attempts : 137
% 6.23/1.25 # BW rewrite match successes : 60
% 6.23/1.25 # Condensation attempts : 0
% 6.23/1.25 # Condensation successes : 0
% 6.23/1.25 # Termbank termtop insertions : 695830
% 6.23/1.25
% 6.23/1.25 # -------------------------------------------------
% 6.23/1.25 # User time : 0.733 s
% 6.23/1.25 # System time : 0.020 s
% 6.23/1.25 # Total time : 0.753 s
% 6.23/1.25 # Maximum resident set size: 2460 pages
% 6.23/1.25
% 6.23/1.25 # -------------------------------------------------
% 6.23/1.25 # User time : 3.676 s
% 6.23/1.25 # System time : 0.072 s
% 6.23/1.25 # Total time : 3.748 s
% 6.23/1.25 # Maximum resident set size: 1748 pages
% 6.23/1.25 % E---3.1 exiting
%------------------------------------------------------------------------------