TSTP Solution File: NUM452+6 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:32:34 EDT 2022
% Result : Theorem 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 99 ( 20 unt; 0 def)
% Number of atoms : 526 ( 134 equ)
% Maximal formula atoms : 102 ( 5 avg)
% Number of connectives : 669 ( 242 ~; 258 |; 144 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 132 ( 9 sgn 69 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2171) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEquModRef) ).
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(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntOne) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(m__,conjecture,
( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulMinOne) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulOne) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntMult) ).
fof(c_0_16,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| ~ aInteger0(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
fof(c_0_17,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_18,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(c_0_20,hypothesis,
! [X3,X3,X5,X6,X6,X8,X9,X9,X10] :
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ( aInteger0(X3)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aInteger0(esk11_1(X3))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdtasdt0(xp,esk11_1(X3)) = sdtpldt0(X3,smndt0(sz10))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aInteger0(X5)
| sdtasdt0(xp,X5) != sdtpldt0(X3,smndt0(sz10))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
| ~ aInteger0(X3)
| aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ( aInteger0(X6)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(esk12_1(X6),xS)
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aElementOf0(X6,esk12_1(X6))
| ~ aElementOf0(X6,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X6)
| ~ aElementOf0(X8,xS)
| ~ aElementOf0(X6,X8)
| aElementOf0(X6,sbsmnsldt0(xS)) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X9,sbsmnsldt0(xS))
| ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sbsmnsldt0(xS))
| aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),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__2171])])])])])])])]) ).
fof(c_0_21,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| X4 = sz00
| sdteqdtlpzmzozddtrp0(X3,X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModRef])]) ).
fof(c_0_22,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_23,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])])])])])])]) ).
cnf(c_0_24,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_29,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( sdteqdtlpzmzozddtrp0(X1,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_32,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,hypothesis,
xS = cS2043,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_38,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_40,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,hypothesis,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_42,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| X1 != smndt0(sz10) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,hypothesis,
stldt0(sbsmnsldt0(cS2043)) = cS2076,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_27]) ).
cnf(c_0_45,plain,
( sdtpldt0(X1,sdtpldt0(sz00,smndt0(X1))) = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_46,hypothesis,
aDivisorOf0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_31])]),c_0_41])]) ).
cnf(c_0_47,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_48,hypothesis,
( aElementOf0(X1,cS2076)
| X1 != smndt0(sz10) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_35]),c_0_43]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_50,hypothesis,
( aElementOf0(sdtpldt0(sz10,sz00),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_39]),c_0_31])]) ).
cnf(c_0_51,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_35]),c_0_43]) ).
cnf(c_0_52,hypothesis,
aElementOf0(smndt0(sz10),cS2076),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_53,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,hypothesis,
( aElementOf0(X1,cS2076)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_35]),c_0_43]) ).
cnf(c_0_55,hypothesis,
aElementOf0(sdtpldt0(sz10,sz00),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
fof(c_0_56,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_57,hypothesis,
( X1 = smndt0(sz10)
| X1 = sz10
| ~ aElementOf0(X1,cS2076) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_35]),c_0_43]) ).
cnf(c_0_58,hypothesis,
aElementOf0(sdtpldt0(sz10,sz00),cS2076),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_39])]) ).
cnf(c_0_60,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,hypothesis,
( smndt0(sz10) = sdtpldt0(sz10,sz00)
| sdtpldt0(sz10,sz00) = sz10 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_63,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_39])]) ).
cnf(c_0_64,hypothesis,
( sdtpldt0(sz10,sdtpldt0(sz10,sz00)) = sz00
| sdtpldt0(sz10,sz00) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_61]),c_0_31])]) ).
cnf(c_0_65,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_62]),c_0_26]) ).
cnf(c_0_66,hypothesis,
( sdtpldt0(sz10,sz00) = sz10
| sdtpldt0(sz10,sz10) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_31])]) ).
cnf(c_0_67,hypothesis,
( sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,sz00) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_31])]) ).
cnf(c_0_68,hypothesis,
( smndt0(sz10) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,sz00) = sz10
| ~ aInteger0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_38,c_0_67]) ).
cnf(c_0_69,hypothesis,
( smndt0(sz10) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,sz00) = sz10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_51]),c_0_52])]) ).
cnf(c_0_70,hypothesis,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10)
| sdtpldt0(sz10,sz00) = sz10 ),
inference(spm,[status(thm)],[c_0_61,c_0_69]) ).
fof(c_0_71,negated_conjecture,
~ ( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_72,hypothesis,
( sdtpldt0(sz10,sz00) = sz10
| sdtpldt0(sz00,sz10) != sz10 ),
inference(ef,[status(thm)],[c_0_70]) ).
fof(c_0_73,negated_conjecture,
! [X2,X3] :
( ( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) )
& ( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))) )
& ( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp) )
& ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp) )
& ( ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])])]) ).
fof(c_0_74,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| ~ aInteger0(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
cnf(c_0_75,hypothesis,
sdtpldt0(sz10,sz00) = sz10,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_70]),c_0_31])]),c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(X1)
| sdtasdt0(xp,X2) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_77,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_78,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
cnf(c_0_79,hypothesis,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_39]),c_0_31])]) ).
fof(c_0_80,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_81,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) != smndt0(xp)
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_32])]) ).
cnf(c_0_82,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_84,hypothesis,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(sz10))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_31]),c_0_39])]) ).
cnf(c_0_85,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_86,hypothesis,
( sdtasdt0(xp,esk11_1(X1)) = sdtpldt0(X1,smndt0(sz10))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_87,hypothesis,
( aInteger0(esk11_1(X1))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_88,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) != smndt0(xp)
| sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) != xp
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_31]),c_0_32])]) ).
cnf(c_0_89,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_60]) ).
cnf(c_0_90,hypothesis,
( sdtpldt0(sz10,smndt0(sz10)) = sz00
| ~ aInteger0(sdtpldt0(sz10,smndt0(sz10))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,hypothesis,
( aInteger0(sdtpldt0(X1,smndt0(sz10)))
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_32])]),c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( sdtpldt0(smndt0(xp),sdtpldt0(sz10,smndt0(sz10))) != smndt0(xp)
| sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) != xp
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_31])]) ).
cnf(c_0_93,hypothesis,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_41])]) ).
cnf(c_0_94,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) != xp
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_38]) ).
cnf(c_0_95,negated_conjecture,
( sdtpldt0(xp,sz00) != xp
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_89]),c_0_93]),c_0_31]),c_0_32])]) ).
cnf(c_0_96,hypothesis,
( sdtpldt0(xp,sz00) != xp
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_51]),c_0_52])]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xp,sz00) != xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_26]),c_0_32])]) ).
cnf(c_0_98,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_38]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 03:16:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44 # Preprocessing time : 0.037 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 99
% 0.25/1.44 # Proof object clause steps : 68
% 0.25/1.44 # Proof object formula steps : 31
% 0.25/1.44 # Proof object conjectures : 9
% 0.25/1.44 # Proof object clause conjectures : 6
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 28
% 0.25/1.44 # Proof object initial formulas used : 16
% 0.25/1.44 # Proof object generating inferences : 34
% 0.25/1.44 # Proof object simplifying inferences : 74
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 47
% 0.25/1.44 # Removed by relevancy pruning/SinE : 4
% 0.25/1.44 # Initial clauses : 212
% 0.25/1.44 # Removed in clause preprocessing : 5
% 0.25/1.44 # Initial clauses in saturation : 207
% 0.25/1.44 # Processed clauses : 2613
% 0.25/1.44 # ...of these trivial : 41
% 0.25/1.44 # ...subsumed : 1705
% 0.25/1.44 # ...remaining for further processing : 867
% 0.25/1.44 # Other redundant clauses eliminated : 7
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 166
% 0.25/1.44 # Backward-rewritten : 97
% 0.25/1.44 # Generated clauses : 10843
% 0.25/1.44 # ...of the previous two non-trivial : 9436
% 0.25/1.44 # Contextual simplify-reflections : 728
% 0.25/1.44 # Paramodulations : 10816
% 0.25/1.44 # Factorizations : 5
% 0.25/1.44 # Equation resolutions : 22
% 0.25/1.44 # Current number of processed clauses : 604
% 0.25/1.44 # Positive orientable unit clauses : 35
% 0.25/1.44 # Positive unorientable unit clauses: 0
% 0.25/1.44 # Negative unit clauses : 8
% 0.25/1.44 # Non-unit-clauses : 561
% 0.25/1.44 # Current number of unprocessed clauses: 3358
% 0.25/1.44 # ...number of literals in the above : 16014
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 263
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 145512
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 41238
% 0.25/1.44 # Non-unit clause-clause subsumptions : 2253
% 0.25/1.44 # Unit Clause-clause subsumption calls : 1956
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 14
% 0.25/1.44 # BW rewrite match successes : 14
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 214805
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.617 s
% 0.25/1.44 # System time : 0.004 s
% 0.25/1.44 # Total time : 0.621 s
% 0.25/1.44 # Maximum resident set size: 8992 pages
%------------------------------------------------------------------------------