TSTP Solution File: NUM452+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM452+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : 300s
% DateTime : Thu Aug 31 10:37:38 EDT 2023
% Result : Theorem 53.06s 53.12s
% Output : CNFRefutation 53.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 66
% Syntax : Number of formulae : 327 ( 102 unt; 40 typ; 0 def)
% Number of atoms : 831 ( 275 equ)
% Maximal formula atoms : 46 ( 2 avg)
% Number of connectives : 943 ( 399 ~; 438 |; 72 &)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 57 ( 33 >; 24 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-3 aty)
% Number of variables : 320 ( 2 sgn; 105 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aInteger0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
smndt0: $i > $i ).
tff(decl_26,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_28,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
isPrime0: $i > $o ).
tff(decl_31,type,
aSet0: $i > $o ).
tff(decl_32,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_33,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_34,type,
isFinite0: $i > $o ).
tff(decl_35,type,
cS1395: $i ).
tff(decl_36,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff(decl_37,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(decl_38,type,
sbsmnsldt0: $i > $i ).
tff(decl_39,type,
stldt0: $i > $i ).
tff(decl_40,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(decl_41,type,
isOpen0: $i > $o ).
tff(decl_42,type,
isClosed0: $i > $o ).
tff(decl_43,type,
xS: $i ).
tff(decl_44,type,
cS2043: $i ).
tff(decl_45,type,
cS2076: $i ).
tff(decl_46,type,
xp: $i ).
tff(decl_47,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk2_1: $i > $i ).
tff(decl_49,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_1: $i > $i ).
tff(decl_53,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk13_1: $i > $i ).
tff(decl_60,type,
esk14_1: $i > $i ).
tff(decl_61,type,
esk15_1: $i > $i ).
fof(mComplement,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mComplement) ).
fof(mArSeqClosed,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(m__2171,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
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/benchmark/theBenchmark.p',mArSeq) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
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/benchmark/theBenchmark.p',mMulAsso) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
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/benchmark/theBenchmark.p',mDistrib) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
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/benchmark/theBenchmark.p',mAddAsso) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
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/benchmark/theBenchmark.p',mDivisor) ).
fof(mEquModTrn,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
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/benchmark/theBenchmark.p',mEquModSym) ).
fof(m__,conjecture,
( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_26,plain,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mComplement]) ).
fof(c_0_27,plain,
! [X84,X85,X86,X87,X88] :
( ( aSet0(X85)
| X85 != stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( aInteger0(X86)
| ~ aElementOf0(X86,X85)
| X85 != stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( ~ aElementOf0(X86,X84)
| ~ aElementOf0(X86,X85)
| X85 != stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( ~ aInteger0(X87)
| aElementOf0(X87,X84)
| aElementOf0(X87,X85)
| X85 != stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( ~ aElementOf0(esk10_2(X84,X88),X88)
| ~ aInteger0(esk10_2(X84,X88))
| aElementOf0(esk10_2(X84,X88),X84)
| ~ aSet0(X88)
| X88 = stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( aInteger0(esk10_2(X84,X88))
| aElementOf0(esk10_2(X84,X88),X88)
| ~ aSet0(X88)
| X88 = stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) )
& ( ~ aElementOf0(esk10_2(X84,X88),X84)
| aElementOf0(esk10_2(X84,X88),X88)
| ~ aSet0(X88)
| X88 = stldt0(X84)
| ~ aSubsetOf0(X84,cS1395) ) ),
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_26])])])])])]) ).
fof(c_0_28,plain,
! [X111,X112] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X111,X112),cS1395)
| ~ aInteger0(X111)
| ~ aInteger0(X112)
| X112 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X111,X112))
| ~ aInteger0(X111)
| ~ aInteger0(X112)
| X112 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeqClosed])])]) ).
cnf(c_0_29,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aInteger0(X1)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[m__2171]) ).
cnf(c_0_32,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2171]) ).
cnf(c_0_33,plain,
( aElementOf0(X1,stldt0(X2))
| aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,cS1395)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_34,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,xp),cS1395)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_35,plain,
! [X5] :
( ~ aInteger0(X5)
| aInteger0(smndt0(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,stldt0(szAzrzSzezqlpdtcmdtrp0(X2,xp)))
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,xp))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_38,hypothesis,
( aElementOf0(smndt0(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(X2,xp)))
| aElementOf0(smndt0(X1),szAzrzSzezqlpdtcmdtrp0(X2,xp))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != stldt0(X3)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,hypothesis,
( aElementOf0(smndt0(X1),stldt0(szAzrzSzezqlpdtcmdtrp0(xp,xp)))
| aElementOf0(smndt0(X1),szAzrzSzezqlpdtcmdtrp0(xp,xp))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_41,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
fof(c_0_42,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])])])])])]) ).
cnf(c_0_43,plain,
( aInteger0(X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aElementOf0(X1,stldt0(X2)) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(smndt0(sz10),stldt0(szAzrzSzezqlpdtcmdtrp0(xp,xp)))
| aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(xp,xp)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( aInteger0(X1)
| X4 = sz00
| ~ aElementOf0(X1,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X3,X4)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,hypothesis,
( aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(xp,xp))
| aInteger0(smndt0(sz10))
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xp,xp),cS1395) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_47,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])])]) ).
fof(c_0_48,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_49,plain,
( X1 = sz00
| aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X3) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_50,hypothesis,
( aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(xp,xp))
| aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_34]),c_0_31])]) ).
fof(c_0_51,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_52,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,hypothesis,
aInteger0(smndt0(sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_31])]),c_0_32]) ).
cnf(c_0_55,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,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])])]) ).
fof(c_0_57,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])])]) ).
cnf(c_0_58,plain,
( sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10))) = smndt0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55]) ).
cnf(c_0_59,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,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_57]) ).
cnf(c_0_61,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
( smndt0(sdtasdt0(X1,sz10)) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_41]),c_0_54])]) ).
cnf(c_0_63,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_64,plain,
! [X6,X7] :
( ~ aInteger0(X6)
| ~ aInteger0(X7)
| aInteger0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(c_0_65,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])])]) ).
cnf(c_0_66,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_55]) ).
fof(c_0_67,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_68,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_60,c_0_61]),c_0_41])]) ).
cnf(c_0_69,plain,
sdtasdt0(smndt0(sz10),smndt0(sz10)) = smndt0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_54]),c_0_41])]) ).
cnf(c_0_70,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
sdtasdt0(sz10,smndt0(sz10)) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_59]),c_0_41])]) ).
cnf(c_0_72,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
fof(c_0_74,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_75,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_59]),c_0_41])]) ).
cnf(c_0_76,plain,
( aInteger0(smndt0(sdtasdt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_58]),c_0_54])]) ).
cnf(c_0_77,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,plain,
sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(sz10),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_54])]) ).
cnf(c_0_79,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_70,c_0_60]),c_0_55]),c_0_55]) ).
cnf(c_0_80,plain,
sdtasdt0(sz10,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(smndt0(sz10),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_71]),c_0_54]),c_0_41])]) ).
cnf(c_0_81,plain,
( smndt0(sdtasdt0(sz00,X1)) = sz00
| ~ aInteger0(sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_58]),c_0_73])]) ).
cnf(c_0_82,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_83,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_84,plain,
( smndt0(sdtasdt0(sz10,X1)) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_75]),c_0_41]),c_0_54])]) ).
cnf(c_0_85,plain,
sdtasdt0(sz10,smndt0(smndt0(sz10))) = smndt0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_54])]) ).
cnf(c_0_86,plain,
aInteger0(smndt0(smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_54]),c_0_41])]) ).
cnf(c_0_87,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(sz10),sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_54])]) ).
cnf(c_0_88,plain,
aInteger0(sdtpldt0(smndt0(sz10),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_41]),c_0_54])]) ).
cnf(c_0_89,plain,
( smndt0(sdtasdt0(sz00,X1)) = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_55]),c_0_54])]) ).
cnf(c_0_90,plain,
( smndt0(sdtasdt0(X1,sz00)) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_72]),c_0_73]),c_0_54])]) ).
cnf(c_0_91,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_77]),c_0_73])]) ).
cnf(c_0_92,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_94,plain,
sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10)) = smndt0(smndt0(smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
fof(c_0_95,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_96,plain,
smndt0(sdtpldt0(smndt0(sz10),sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_87]),c_0_88])]) ).
cnf(c_0_97,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_53,c_0_63]),c_0_54])]) ).
cnf(c_0_98,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_73])]) ).
cnf(c_0_99,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_37]),c_0_73])]) ).
cnf(c_0_100,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_37]) ).
cnf(c_0_101,plain,
sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) = sz00,
inference(rw,[status(thm)],[c_0_78,c_0_87]) ).
fof(c_0_102,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_103,plain,
sdtasdt0(sz10,smndt0(smndt0(smndt0(sz10)))) = smndt0(smndt0(smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_94]),c_0_54]),c_0_86])]) ).
cnf(c_0_104,plain,
aInteger0(smndt0(smndt0(smndt0(sz10)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_69]),c_0_54])]) ).
cnf(c_0_105,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_52]) ).
cnf(c_0_106,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_107,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_108,plain,
sdtpldt0(sz00,sdtpldt0(smndt0(sz10),sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_96]),c_0_88])]) ).
cnf(c_0_109,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_98]),c_0_73])]) ).
cnf(c_0_110,plain,
sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_54])]) ).
cnf(c_0_111,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_112,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz10))),smndt0(sz10)) = smndt0(smndt0(smndt0(smndt0(sz10)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_103]),c_0_104])]) ).
cnf(c_0_113,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_60,c_0_52]),c_0_54])]) ).
cnf(c_0_114,plain,
sdtasdt0(smndt0(smndt0(sz10)),smndt0(smndt0(sz10))) = smndt0(smndt0(smndt0(smndt0(sz10)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_94]),c_0_54]),c_0_86])]) ).
cnf(c_0_115,plain,
sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(sz10),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_78]),c_0_54]),c_0_86])]) ).
cnf(c_0_116,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_88])]) ).
cnf(c_0_117,plain,
sdtasdt0(smndt0(smndt0(sz10)),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_109]),c_0_109]),c_0_73]),c_0_54])]) ).
cnf(c_0_118,plain,
sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_110]),c_0_54])]) ).
cnf(c_0_119,plain,
sdtasdt0(smndt0(sz10),smndt0(smndt0(smndt0(sz10)))) = smndt0(smndt0(smndt0(smndt0(sz10)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_54]),c_0_104])]) ).
cnf(c_0_120,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(smndt0(smndt0(sz10))))) = sz00,
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_113,c_0_114]),c_0_115]),c_0_116]),c_0_109]),c_0_117]),c_0_86])]) ).
cnf(c_0_121,plain,
sdtpldt0(smndt0(smndt0(sz10)),sz00) = smndt0(smndt0(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_113,c_0_109]),c_0_110]),c_0_118]),c_0_69]),c_0_73]),c_0_54])]) ).
cnf(c_0_122,plain,
aInteger0(smndt0(smndt0(smndt0(smndt0(sz10))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_94]),c_0_54]),c_0_86])]) ).
cnf(c_0_123,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz10)))),smndt0(sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_119]),c_0_104]),c_0_54])]) ).
cnf(c_0_124,plain,
sdtpldt0(sz00,smndt0(smndt0(smndt0(smndt0(sz10))))) = smndt0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_120]),c_0_121]),c_0_122]),c_0_86])]) ).
cnf(c_0_125,plain,
sdtpldt0(smndt0(sz10),smndt0(smndt0(smndt0(smndt0(sz10))))) = sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_123]),c_0_54]),c_0_122])]) ).
cnf(c_0_126,plain,
smndt0(smndt0(smndt0(smndt0(sz10)))) = smndt0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_124]),c_0_122])]) ).
cnf(c_0_127,plain,
sdtasdt0(sz10,sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)) = sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_103]),c_0_104]),c_0_41])]) ).
fof(c_0_128,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_129,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))) = smndt0(smndt0(smndt0(smndt0(smndt0(sz10))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_112]),c_0_54]),c_0_104])]) ).
cnf(c_0_130,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)) = sz00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126]),c_0_115]),c_0_116]),c_0_109]) ).
cnf(c_0_131,plain,
aInteger0(sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_127]),c_0_41]),c_0_104])]) ).
cnf(c_0_132,plain,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_116]),c_0_41])]) ).
cnf(c_0_133,plain,
( X1 = sz00
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_134,plain,
sdtasdt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(smndt0(sz10)))) = smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz10)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_129]),c_0_86]),c_0_104])]) ).
cnf(c_0_135,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_93,c_0_92]),c_0_70]) ).
cnf(c_0_136,plain,
smndt0(sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_130]),c_0_131])]) ).
cnf(c_0_137,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_132]),c_0_41])]) ).
cnf(c_0_138,plain,
( smndt0(smndt0(smndt0(sz10))) = sz00
| smndt0(smndt0(smndt0(smndt0(smndt0(smndt0(sz10)))))) != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_104])]) ).
cnf(c_0_139,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_77]),c_0_37]) ).
cnf(c_0_140,plain,
sdtpldt0(smndt0(smndt0(smndt0(sz10))),sz10) = sz00,
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_135,c_0_136]),c_0_132]),c_0_137]),c_0_73]),c_0_41]),c_0_104])]) ).
cnf(c_0_141,plain,
( smndt0(smndt0(smndt0(sz10))) = sz00
| smndt0(smndt0(sz10)) != sz00 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_126]),c_0_126]) ).
cnf(c_0_142,plain,
smndt0(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_139,c_0_140]),c_0_126]),c_0_121]),c_0_137]),c_0_41]),c_0_104])]) ).
cnf(c_0_143,plain,
( smndt0(sz10) = sz00
| sz10 != sz00 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_142]) ).
cnf(c_0_144,plain,
( smndt0(X1) = sdtasdt0(X1,sz00)
| sz10 != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_143]) ).
cnf(c_0_145,plain,
( sdtpldt0(sdtasdt0(X1,sz00),X1) = sz00
| sz10 != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_144]) ).
cnf(c_0_146,plain,
( sdtasdt0(X1,sz10) = sz00
| sz10 != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_145]),c_0_137]),c_0_73])]) ).
fof(c_0_147,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_148,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_53]),c_0_41])]),c_0_55]) ).
cnf(c_0_149,plain,
( sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_54])]) ).
cnf(c_0_150,plain,
( sz00 = X1
| sz10 != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_146]) ).
cnf(c_0_151,plain,
( X2 = sz00
| sdteqdtlpzmzozddtrp0(X1,X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_152,plain,
( sdtasdt0(smndt0(X1),sz10) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_54]),c_0_41])]) ).
cnf(c_0_153,hypothesis,
sz10 != sz00,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_31]),c_0_32]) ).
fof(c_0_154,plain,
! [X35,X36,X37] :
( ( ~ sdteqdtlpzmzozddtrp0(X35,X36,X37)
| aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36)))
| ~ aInteger0(X35)
| ~ aInteger0(X36)
| ~ aInteger0(X37)
| X37 = sz00 )
& ( ~ aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36)))
| sdteqdtlpzmzozddtrp0(X35,X36,X37)
| ~ aInteger0(X35)
| ~ aInteger0(X36)
| ~ aInteger0(X37)
| X37 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
cnf(c_0_155,hypothesis,
( smndt0(sz10) = sz00
| sdteqdtlpzmzozddtrp0(X1,X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_54]) ).
cnf(c_0_156,plain,
( smndt0(X1) = sz00
| sdtasdt0(X1,smndt0(sz10)) != sz00
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_152]),c_0_41])]),c_0_153]),c_0_37]) ).
cnf(c_0_157,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_63]) ).
cnf(c_0_158,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_60,c_0_61]),c_0_41])]) ).
cnf(c_0_159,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_73])]) ).
fof(c_0_160,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_161,plain,
( aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2)))
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_162,hypothesis,
( smndt0(sz10) = sz00
| sdteqdtlpzmzozddtrp0(xp,xp,smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_155,c_0_31]) ).
cnf(c_0_163,plain,
( smndt0(smndt0(X1)) = sz00
| sdtasdt0(X1,sz10) != sz00
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_142]),c_0_54])]),c_0_37]) ).
cnf(c_0_164,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_109]),c_0_110]),c_0_118]),c_0_132]),c_0_137]),c_0_73]),c_0_54])]) ).
cnf(c_0_165,plain,
( aInteger0(smndt0(sdtasdt0(sz00,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_159]),c_0_73])]),c_0_55]) ).
cnf(c_0_166,plain,
( smndt0(X1) = sz00
| sdtasdt0(smndt0(sz10),X1) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_111]),c_0_54])]) ).
cnf(c_0_167,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_168,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_169,hypothesis,
( smndt0(sz10) = sz00
| aDivisorOf0(smndt0(sz10),sdtpldt0(xp,smndt0(xp))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_54]),c_0_31])]) ).
cnf(c_0_170,plain,
smndt0(sz10) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_163]),c_0_137]),c_0_164]),c_0_54])]),c_0_153]) ).
cnf(c_0_171,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_116]),c_0_41]),c_0_54])]) ).
cnf(c_0_172,hypothesis,
( aInteger0(smndt0(sdtasdt0(sz00,xp)))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_31]) ).
cnf(c_0_173,plain,
( smndt0(X1) = sz00
| sdtasdt0(sz10,smndt0(X1)) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_157]),c_0_41])]) ).
cnf(c_0_174,plain,
( smndt0(esk1_2(X1,smndt0(sz10))) = X1
| ~ aDivisorOf0(smndt0(sz10),X1)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_167]),c_0_168]) ).
cnf(c_0_175,hypothesis,
aDivisorOf0(smndt0(sz10),sdtpldt0(xp,smndt0(xp))),
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_176,plain,
( sdtpldt0(X1,smndt0(X1)) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_52]),c_0_171]),c_0_54])]) ).
cnf(c_0_177,hypothesis,
aInteger0(smndt0(sdtasdt0(sz00,xp))),
inference(spm,[status(thm)],[c_0_172,c_0_31]) ).
cnf(c_0_178,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_111]) ).
cnf(c_0_179,plain,
( X1 = sz00
| sdtasdt0(sz10,X1) != sz00
| ~ aDivisorOf0(smndt0(sz10),X1)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_168]) ).
cnf(c_0_180,hypothesis,
aDivisorOf0(smndt0(sz10),sdtasdt0(xp,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_31])]) ).
cnf(c_0_181,hypothesis,
aInteger0(sdtasdt0(xp,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_99]),c_0_73]),c_0_31])]) ).
cnf(c_0_182,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_183,hypothesis,
( sdtasdt0(xp,sz00) = sz00
| sdtasdt0(sz10,sdtasdt0(xp,sz00)) != sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181])]) ).
cnf(c_0_184,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_53]),c_0_73])]),c_0_55]) ).
cnf(c_0_185,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_109]),c_0_73]),c_0_54])]) ).
cnf(c_0_186,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_60,c_0_52]),c_0_54])]) ).
cnf(c_0_187,hypothesis,
sdtasdt0(xp,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_31]),c_0_41])]) ).
cnf(c_0_188,plain,
sdtasdt0(sz10,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_185]),c_0_132]),c_0_137]),c_0_132]),c_0_137]),c_0_73]),c_0_41])]) ).
cnf(c_0_189,plain,
sdtasdt0(sz10,sdtpldt0(smndt0(sz10),smndt0(sz10))) = sdtpldt0(smndt0(sz10),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_71]),c_0_54]),c_0_41])]) ).
cnf(c_0_190,plain,
( X1 = sz00
| aDivisorOf0(X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_191,hypothesis,
sdtpldt0(sz00,xp) = sdtasdt0(xp,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_187]),c_0_137]),c_0_73]),c_0_31])]) ).
cnf(c_0_192,hypothesis,
( aElementOf0(smndt0(xp),stldt0(szAzrzSzezqlpdtcmdtrp0(xp,xp)))
| aElementOf0(smndt0(xp),szAzrzSzezqlpdtcmdtrp0(xp,xp)) ),
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_193,plain,
sdtpldt0(smndt0(smndt0(smndt0(smndt0(sz10)))),smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),sdtpldt0(smndt0(smndt0(sz10)),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_114]),c_0_86])]) ).
cnf(c_0_194,plain,
sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),sdtpldt0(smndt0(sz10),smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_69]),c_0_54])]) ).
cnf(c_0_195,plain,
sdtpldt0(smndt0(sz10),smndt0(sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_164]),c_0_41]),c_0_54])]) ).
cnf(c_0_196,plain,
sdtasdt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sz10,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_188]),c_0_41])]) ).
cnf(c_0_197,plain,
aInteger0(sdtpldt0(smndt0(sz10),smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_189]),c_0_54]),c_0_41])]) ).
cnf(c_0_198,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_190]),c_0_55]) ).
cnf(c_0_199,hypothesis,
sdtasdt0(xp,sz10) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_191]),c_0_31])]) ).
cnf(c_0_200,hypothesis,
( aElementOf0(smndt0(xp),szAzrzSzezqlpdtcmdtrp0(xp,xp))
| aInteger0(smndt0(xp))
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xp,xp),cS1395) ),
inference(spm,[status(thm)],[c_0_43,c_0_192]) ).
cnf(c_0_201,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))) = sdtpldt0(sz10,sz10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_126]),c_0_194]),c_0_195]),c_0_142]),c_0_142]),c_0_196]) ).
cnf(c_0_202,plain,
sdtpldt0(sz10,sdtasdt0(smndt0(sz10),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_100,c_0_195]),c_0_118]),c_0_54]),c_0_41])]) ).
cnf(c_0_203,plain,
aInteger0(sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))),
inference(rw,[status(thm)],[c_0_197,c_0_195]) ).
cnf(c_0_204,hypothesis,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_54]) ).
cnf(c_0_205,hypothesis,
sdtasdt0(xp,smndt0(sz10)) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_199]),c_0_41]),c_0_31])]) ).
cnf(c_0_206,hypothesis,
( aElementOf0(smndt0(xp),szAzrzSzezqlpdtcmdtrp0(xp,xp))
| aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_34]),c_0_31])]) ).
cnf(c_0_207,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,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_158,c_0_201]),c_0_202]),c_0_69]),c_0_142]),c_0_203]),c_0_54])]) ).
cnf(c_0_208,plain,
aInteger0(sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_196]),c_0_41])]) ).
cnf(c_0_209,plain,
( sdteqdtlpzmzozddtrp0(X2,X3,X1)
| X1 = sz00
| ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_210,plain,
( aInteger0(X1)
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_211,hypothesis,
aDivisorOf0(xp,sdtasdt0(xp,smndt0(sz10))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_31]),c_0_32]) ).
cnf(c_0_212,hypothesis,
smndt0(smndt0(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_105,c_0_205]),c_0_142]),c_0_199]),c_0_54]),c_0_31])]) ).
cnf(c_0_213,hypothesis,
aInteger0(smndt0(xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_206]),c_0_31])]),c_0_32]) ).
cnf(c_0_214,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_92]),c_0_70]) ).
cnf(c_0_215,plain,
sdtpldt0(sz00,sdtpldt0(sz10,sz10)) = sdtpldt0(sz10,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_207]),c_0_142]),c_0_208]),c_0_54])]) ).
fof(c_0_216,plain,
! [X43,X44,X45,X46] :
( ~ aInteger0(X43)
| ~ aInteger0(X44)
| ~ aInteger0(X45)
| X45 = sz00
| ~ aInteger0(X46)
| ~ sdteqdtlpzmzozddtrp0(X43,X44,X45)
| ~ sdteqdtlpzmzozddtrp0(X44,X46,X45)
| sdteqdtlpzmzozddtrp0(X43,X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModTrn])]) ).
cnf(c_0_217,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(sz00,X2,X1)
| ~ aDivisorOf0(X1,smndt0(X2))
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_107]),c_0_73])]),c_0_210]),c_0_37]) ).
cnf(c_0_218,hypothesis,
aDivisorOf0(xp,smndt0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_52]),c_0_31])]) ).
cnf(c_0_219,plain,
( sdtasdt0(X1,X2) = sz00
| X3 = sz00
| sdtasdt0(X1,sdtasdt0(X2,X3)) != sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_53]),c_0_55]) ).
cnf(c_0_220,hypothesis,
sdtasdt0(smndt0(xp),smndt0(sz10)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_212]),c_0_199]),c_0_213])]) ).
fof(c_0_221,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_222,plain,
( 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_214,c_0_215]),c_0_208]),c_0_73])]) ).
cnf(c_0_223,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_106,c_0_92]),c_0_70]) ).
cnf(c_0_224,plain,
( aInteger0(sdtpldt0(X1,smndt0(sz10)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_118]),c_0_54]),c_0_73])]) ).
cnf(c_0_225,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_226,hypothesis,
sdteqdtlpzmzozddtrp0(sz00,xp,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_31])]),c_0_32]) ).
cnf(c_0_227,hypothesis,
( sdtasdt0(X1,smndt0(xp)) = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_54]),c_0_213])]),c_0_170]) ).
cnf(c_0_228,hypothesis,
smndt0(xp) != sz00,
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_133,c_0_205]),c_0_54]),c_0_31])]),c_0_170]),c_0_32]) ).
cnf(c_0_229,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_230,plain,
( aInteger0(sdtpldt0(sz10,sdtpldt0(sz10,X1)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_41])]) ).
cnf(c_0_231,plain,
( aInteger0(sdtpldt0(smndt0(sz10),X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_106]),c_0_54])]) ).
cnf(c_0_232,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_182]),c_0_132]),c_0_137]),c_0_73])]) ).
cnf(c_0_233,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,xp,xp)
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,xp)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_31]),c_0_73])]),c_0_32]) ).
cnf(c_0_234,hypothesis,
( X1 = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_227]),c_0_213])]),c_0_228]) ).
cnf(c_0_235,hypothesis,
sdteqdtlpzmzozddtrp0(xp,sz00,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_226]),c_0_31]),c_0_73])]),c_0_32]) ).
cnf(c_0_236,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_57]) ).
cnf(c_0_237,plain,
( aInteger0(sdtpldt0(sz10,sdtpldt0(sz00,X1)))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_100]),c_0_41])]),c_0_231]) ).
cnf(c_0_238,plain,
( sdtpldt0(sz00,X1) = sdtasdt0(X1,sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_232]),c_0_73])]) ).
cnf(c_0_239,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aDivisorOf0(X1,sdtpldt0(smndt0(X3),X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_106]),c_0_37]) ).
cnf(c_0_240,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,smndt0(xp)))
| ~ sdteqdtlpzmzozddtrp0(X1,sz00,xp)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_233]),c_0_31])]),c_0_32]) ).
cnf(c_0_241,hypothesis,
( smndt0(X1) = sz00
| sdtasdt0(X1,smndt0(xp)) != sz00
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_157]),c_0_31])]),c_0_37]) ).
cnf(c_0_242,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,sz00,xp)
| ~ sdteqdtlpzmzozddtrp0(X1,xp,xp)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_235]),c_0_73]),c_0_31])]),c_0_32]) ).
cnf(c_0_243,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_236,c_0_59]),c_0_41])]) ).
cnf(c_0_244,plain,
( aInteger0(sdtpldt0(sz10,sdtasdt0(X1,sz10)))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,hypothesis,
( sdteqdtlpzmzozddtrp0(smndt0(xp),X1,xp)
| ~ sdteqdtlpzmzozddtrp0(smndt0(X1),sz00,xp)
| ~ aInteger0(X1) ),
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_239,c_0_240]),c_0_213]),c_0_31])]),c_0_32]),c_0_37]) ).
cnf(c_0_246,hypothesis,
( smndt0(X1) = sz00
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_227]) ).
cnf(c_0_247,hypothesis,
sdteqdtlpzmzozddtrp0(sz00,sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_226]),c_0_73])]) ).
cnf(c_0_248,plain,
( sdtpldt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(X1,sdtpldt0(X2,sz00))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_182]),c_0_73])]) ).
cnf(c_0_249,hypothesis,
sdtasdt0(sdtpldt0(sz10,xp),sz10) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_199]),c_0_41]),c_0_31])]) ).
cnf(c_0_250,hypothesis,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_199]),c_0_31])]) ).
cnf(c_0_251,hypothesis,
( sdteqdtlpzmzozddtrp0(smndt0(xp),X1,xp)
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247])]) ).
cnf(c_0_252,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_106]) ).
cnf(c_0_253,hypothesis,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,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_248,c_0_249]),c_0_132]),c_0_137]),c_0_249]),c_0_41]),c_0_250])]) ).
cnf(c_0_254,hypothesis,
( sdteqdtlpzmzozddtrp0(X1,smndt0(xp),xp)
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_251]),c_0_31]),c_0_213])]),c_0_32]) ).
cnf(c_0_255,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_99]),c_0_73])]) ).
cnf(c_0_256,hypothesis,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,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_252,c_0_253]),c_0_132]),c_0_137]),c_0_73]),c_0_41]),c_0_31])]) ).
cnf(c_0_257,plain,
( sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_59]),c_0_41])]) ).
cnf(c_0_258,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(sdtpldt0(X2,X3),X4,X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,sdtpldt0(X3,smndt0(X4))))
| ~ aInteger0(X4)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_92]),c_0_37]),c_0_70]) ).
cnf(c_0_259,hypothesis,
( aDivisorOf0(xp,sdtpldt0(X1,xp))
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_254]),c_0_212]),c_0_31]),c_0_213])]),c_0_32]) ).
cnf(c_0_260,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_92]),c_0_73])]),c_0_70]) ).
cnf(c_0_261,plain,
( aInteger0(sdtpldt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_255]),c_0_73])]) ).
cnf(c_0_262,hypothesis,
sdtpldt0(smndt0(xp),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_139,c_0_256]),c_0_137]),c_0_41]),c_0_31])]) ).
cnf(c_0_263,plain,
( sdtpldt0(sz00,X1) = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_72]),c_0_137]),c_0_73])]) ).
cnf(c_0_264,plain,
( X1 = sz00
| sdteqdtlpzmzozddtrp0(sdtpldt0(X2,X3),X3,X1)
| ~ aDivisorOf0(X1,sdtpldt0(X2,sz00))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_258,c_0_93]) ).
cnf(c_0_265,hypothesis,
( aDivisorOf0(xp,sdtpldt0(xp,X1))
| sdtasdt0(X1,xp) != sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_106]),c_0_31])]) ).
cnf(c_0_266,hypothesis,
sdtasdt0(sz00,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_187]),c_0_73]),c_0_31])]) ).
cnf(c_0_267,plain,
( sdtpldt0(sdtpldt0(X1,sz00),X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_260]),c_0_261]) ).
cnf(c_0_268,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(rw,[status(thm)],[c_0_132,c_0_137]) ).
cnf(c_0_269,hypothesis,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(xp)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_262]),c_0_250]),c_0_213])]) ).
cnf(c_0_270,plain,
( aInteger0(sdtpldt0(sz10,sdtasdt0(sz10,X1)))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_263]) ).
cnf(c_0_271,hypothesis,
sdtasdt0(sz10,smndt0(xp)) = smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_199]),c_0_31]),c_0_41])]) ).
fof(c_0_272,negated_conjecture,
~ ( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_273,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_42]) ).
cnf(c_0_274,hypothesis,
( sdteqdtlpzmzozddtrp0(sdtpldt0(xp,X1),X1,xp)
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_31]),c_0_266]),c_0_73])]),c_0_32]) ).
cnf(c_0_275,plain,
( sdtpldt0(sz10,X1) = sdtpldt0(X1,sz10)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_41])]) ).
cnf(c_0_276,hypothesis,
sdtpldt0(xp,sdtpldt0(sz10,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_252,c_0_269]),c_0_213]),c_0_41]),c_0_31])]) ).
cnf(c_0_277,hypothesis,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_213])]) ).
fof(c_0_278,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(fof_nnf,[status(thm)],[c_0_272]) ).
cnf(c_0_279,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(er,[status(thm)],[c_0_273]) ).
cnf(c_0_280,hypothesis,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_41]),c_0_31])]) ).
cnf(c_0_281,hypothesis,
sdteqdtlpzmzozddtrp0(sz10,sdtpldt0(sz10,smndt0(xp)),xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_276]),c_0_277])]) ).
cnf(c_0_282,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_283,hypothesis,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_31]),c_0_41]),c_0_250])]),c_0_32]) ).
cnf(c_0_284,hypothesis,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_281]),c_0_31]),c_0_277]),c_0_41])]),c_0_32]) ).
cnf(c_0_285,negated_conjecture,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]) ).
cnf(c_0_286,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_284]),c_0_31]),c_0_41]),c_0_277])]),c_0_32]),c_0_285]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM452+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.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 : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 14:56:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 53.06/53.12 % Version : CSE_E---1.5
% 53.06/53.12 % Problem : theBenchmark.p
% 53.06/53.12 % Proof found
% 53.06/53.12 % SZS status Theorem for theBenchmark.p
% 53.06/53.12 % SZS output start Proof
% See solution above
% 53.06/53.14 % Total time : 52.548000 s
% 53.06/53.14 % SZS output end Proof
% 53.06/53.14 % Total time : 52.554000 s
%------------------------------------------------------------------------------