TSTP Solution File: NUM490+3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.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 10:58:02 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(mDefPrime,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( isPrime0(W0)
<=> ( W0 != sz00
& W0 != sz10
& ! [W1] :
( ( aNaturalNumber0(W1)
& doDivides0(W1,W0) )
=> ( W1 = sz10
| W1 = W0 ) ) ) ) ),
input ).
fof(mDefPrime_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( isPrime0(W0)
<=> ( W0 != sz00
& W0 != sz10
& ! [W1] :
( ( aNaturalNumber0(W1)
& doDivides0(W1,W0) )
=> ( W1 = sz10
| W1 = W0 ) ) ) ) ),
inference(orientation,[status(thm)],[mDefPrime]) ).
fof(mLENTr,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ) ),
input ).
fof(mLENTr_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[mLENTr]) ).
fof(mLERefl,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> sdtlseqdt0(W0,W0) ),
input ).
fof(mLERefl_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| sdtlseqdt0(W0,W0) ),
inference(orientation,[status(thm)],[mLERefl]) ).
fof(mMulCanc,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
input ).
fof(mMulCanc_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
inference(orientation,[status(thm)],[mMulCanc]) ).
fof(m_MulZero,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
input ).
fof(m_MulZero_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[m_MulZero]) ).
fof(m_MulUnit,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
input ).
fof(m_MulUnit_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(orientation,[status(thm)],[m_MulUnit]) ).
fof(mMulAsso,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
input ).
fof(mMulAsso_0,plain,
! [W0,W1,W2] :
( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(orientation,[status(thm)],[mMulAsso]) ).
fof(mMulComm,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
input ).
fof(mMulComm_0,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mMulComm]) ).
fof(m_AddZero,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
input ).
fof(m_AddZero_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(orientation,[status(thm)],[m_AddZero]) ).
fof(mAddAsso,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
input ).
fof(mAddAsso_0,plain,
! [W0,W1,W2] :
( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(orientation,[status(thm)],[mAddAsso]) ).
fof(mAddComm,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
input ).
fof(mAddComm_0,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mAddComm]) ).
fof(mSortsB_02,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
input ).
fof(mSortsB_02_0,plain,
! [W0,W1] :
( aNaturalNumber0(sdtasdt0(W0,W1))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mSortsB_02]) ).
fof(mSortsB,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
input ).
fof(mSortsB_0,plain,
! [W0,W1] :
( aNaturalNumber0(sdtpldt0(W0,W1))
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(orientation,[status(thm)],[mSortsB]) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
input ).
fof(mSortsC_01_0,plain,
( aNaturalNumber0(sz10)
| $false ),
inference(orientation,[status(thm)],[mSortsC_01]) ).
fof(mSortsC_01_1,plain,
( sz10 != sz00
| $false ),
inference(orientation,[status(thm)],[mSortsC_01]) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
input ).
fof(mSortsC_0,plain,
( aNaturalNumber0(sz00)
| $false ),
inference(orientation,[status(thm)],[mSortsC]) ).
fof(mNatSort,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> $true ),
input ).
fof(mNatSort_0,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| $true ),
inference(orientation,[status(thm)],[mNatSort]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aNaturalNumber0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mNatSort_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> aNaturalNumber0(sz00) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[mSortsC_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> sz10 != sz00 ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[mSortsC_01_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> aNaturalNumber0(sz10) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[mSortsC_01_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [W1,W0] :
( lhs_atom5(W1,W0)
<=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [W0,W1] :
( lhs_atom5(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mSortsB_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [W1,W0] :
( lhs_atom6(W1,W0)
<=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [W0,W1] :
( lhs_atom6(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mSortsB_02_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [W1,W0] :
( lhs_atom7(W1,W0)
<=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [W0,W1] :
( lhs_atom7(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mAddComm_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [W2,W1,W0] :
( lhs_atom8(W2,W1,W0)
<=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [W0,W1,W2] :
( lhs_atom8(W2,W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(fold_definition,[status(thm)],[mAddAsso_0,def_lhs_atom8]) ).
fof(to_be_clausified_8,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[m_AddZero_0,def_lhs_atom1]) ).
fof(def_lhs_atom9,axiom,
! [W1,W0] :
( lhs_atom9(W1,W0)
<=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [W0,W1] :
( lhs_atom9(W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) ) ),
inference(fold_definition,[status(thm)],[mMulComm_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [W2,W1,W0] :
( lhs_atom10(W2,W1,W0)
<=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [W0,W1,W2] :
( lhs_atom10(W2,W1,W0)
| ~ ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) ) ),
inference(fold_definition,[status(thm)],[mMulAsso_0,def_lhs_atom10]) ).
fof(to_be_clausified_11,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz10) = W0
& W0 = sdtasdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[m_MulUnit_0,def_lhs_atom1]) ).
fof(to_be_clausified_12,plain,
! [W0] :
( lhs_atom1(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(fold_definition,[status(thm)],[m_MulZero_0,def_lhs_atom1]) ).
fof(to_be_clausified_13,plain,
! [W0] :
( lhs_atom1(W0)
| ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
inference(fold_definition,[status(thm)],[mMulCanc_0,def_lhs_atom1]) ).
fof(to_be_clausified_14,plain,
! [W0] :
( lhs_atom1(W0)
| sdtlseqdt0(W0,W0) ),
inference(fold_definition,[status(thm)],[mLERefl_0,def_lhs_atom1]) ).
fof(to_be_clausified_15,plain,
! [W0] :
( lhs_atom1(W0)
| W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ),
inference(fold_definition,[status(thm)],[mLENTr_0,def_lhs_atom1]) ).
fof(to_be_clausified_16,plain,
! [W0] :
( lhs_atom1(W0)
| ( isPrime0(W0)
<=> ( W0 != sz00
& W0 != sz10
& ! [W1] :
( ( aNaturalNumber0(W1)
& doDivides0(W1,W0) )
=> ( W1 = sz10
| W1 = W0 ) ) ) ) ),
inference(fold_definition,[status(thm)],[mDefPrime_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X2,X1] :
( lhs_atom10(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_4,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_7,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| sdtlseqdt0(X1,X1) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_13,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_14,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_15,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_17,axiom,
! [X3,X2,X1] :
( lhs_atom10(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_0 ).
fof(c_0_18,axiom,
! [X3,X2,X1] :
( lhs_atom8(X3,X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) ) ),
c_0_1 ).
fof(c_0_19,axiom,
! [X1] :
( lhs_atom1(X1)
| ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
c_0_2 ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom1(X1)
| ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
c_0_3 ).
fof(c_0_21,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_4 ).
fof(c_0_22,axiom,
! [X2,X1] :
( lhs_atom7(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_5 ).
fof(c_0_23,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_6 ).
fof(c_0_24,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) ) ),
c_0_7 ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ),
c_0_8 ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom1(X1)
| sdtlseqdt0(X1,X1) ),
c_0_9 ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_10 ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_11 ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom1(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_12 ).
fof(c_0_30,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_31,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_32,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_33,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( lhs_atom10(X4,X5,X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| lhs_atom1(X4) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| lhs_atom1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_37,plain,
! [X3,X4] :
( ( X3 != sz00
| ~ isPrime0(X3)
| lhs_atom1(X3) )
& ( X3 != sz10
| ~ isPrime0(X3)
| lhs_atom1(X3) )
& ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| X4 = sz10
| X4 = X3
| ~ isPrime0(X3)
| lhs_atom1(X3) )
& ( aNaturalNumber0(esk1_1(X3))
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| lhs_atom1(X3) )
& ( doDivides0(esk1_1(X3),X3)
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| lhs_atom1(X3) )
& ( esk1_1(X3) != sz10
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| lhs_atom1(X3) )
& ( esk1_1(X3) != X3
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| lhs_atom1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( lhs_atom9(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
fof(c_0_39,plain,
! [X3,X4] :
( lhs_atom7(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_40,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_41,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_42,plain,
! [X2] :
( ( sz10 != X2
| X2 = sz10
| X2 = sz00
| lhs_atom1(X2) )
& ( sdtlseqdt0(sz10,X2)
| X2 = sz10
| X2 = sz00
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
fof(c_0_43,plain,
! [X2] :
( lhs_atom1(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_44,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| lhs_atom1(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_45,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| lhs_atom1(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])]) ).
fof(c_0_46,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| lhs_atom1(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_47,plain,
lhs_atom4,
c_0_30 ).
fof(c_0_48,plain,
lhs_atom3,
c_0_31 ).
fof(c_0_49,plain,
lhs_atom2,
c_0_32 ).
fof(c_0_50,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_51,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
( lhs_atom1(X1)
| X2 = X1
| X2 = sz10
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_62,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| esk1_1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| esk1_1(X1) != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_65,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67,plain,
( lhs_atom1(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_68,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69,plain,
( lhs_atom1(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_70,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_71,plain,
( lhs_atom1(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_72,plain,
( lhs_atom1(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_73,plain,
( lhs_atom1(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_74,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_75,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_76,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_77,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_78,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_79,plain,
( lhs_atom10(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_51,
[final] ).
cnf(c_0_80,plain,
( lhs_atom8(X1,X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_52,
[final] ).
cnf(c_0_81,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
c_0_53,
[final] ).
cnf(c_0_82,plain,
( lhs_atom1(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
c_0_54,
[final] ).
cnf(c_0_83,plain,
( lhs_atom1(X1)
| X2 = X1
| X2 = sz10
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
c_0_55,
[final] ).
cnf(c_0_84,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(esk1_1(X1),X1) ),
c_0_56,
[final] ).
cnf(c_0_85,plain,
( lhs_atom9(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_57,
[final] ).
cnf(c_0_86,plain,
( lhs_atom7(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_58,
[final] ).
cnf(c_0_87,plain,
( lhs_atom6(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_59,
[final] ).
cnf(c_0_88,plain,
( lhs_atom5(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_60,
[final] ).
cnf(c_0_89,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_1(X1)) ),
c_0_61,
[final] ).
cnf(c_0_90,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| esk1_1(X1) != X1 ),
c_0_62,
[final] ).
cnf(c_0_91,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
c_0_63,
[final] ).
cnf(c_0_92,plain,
( lhs_atom1(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| esk1_1(X1) != sz10 ),
c_0_64,
[final] ).
cnf(c_0_93,plain,
( sdtlseqdt0(X1,X1)
| lhs_atom1(X1) ),
c_0_65,
[final] ).
cnf(c_0_94,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz10) = X1 ),
c_0_66,
[final] ).
cnf(c_0_95,plain,
( lhs_atom1(X1)
| sdtasdt0(sz10,X1) = X1 ),
c_0_67,
[final] ).
cnf(c_0_96,plain,
( lhs_atom1(X1)
| sdtpldt0(X1,sz00) = X1 ),
c_0_68,
[final] ).
cnf(c_0_97,plain,
( lhs_atom1(X1)
| sdtpldt0(sz00,X1) = X1 ),
c_0_69,
[final] ).
cnf(c_0_98,plain,
( lhs_atom1(X1)
| sdtasdt0(X1,sz00) = sz00 ),
c_0_70,
[final] ).
cnf(c_0_99,plain,
( lhs_atom1(X1)
| sdtasdt0(sz00,X1) = sz00 ),
c_0_71,
[final] ).
cnf(c_0_100,plain,
( lhs_atom1(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
c_0_72,
[final] ).
cnf(c_0_101,plain,
( lhs_atom1(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
c_0_73,
[final] ).
cnf(c_0_102,plain,
( lhs_atom1(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
c_0_74,
[final] ).
cnf(c_0_103,plain,
lhs_atom4,
c_0_75,
[final] ).
cnf(c_0_104,plain,
lhs_atom3,
c_0_76,
[final] ).
cnf(c_0_105,plain,
lhs_atom2,
c_0_77,
[final] ).
cnf(c_0_106,plain,
$true,
c_0_78,
[final] ).
% End CNF derivation
cnf(c_0_79_0,axiom,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom10]) ).
cnf(c_0_80_0,axiom,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom8]) ).
cnf(c_0_81_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom1]) ).
cnf(c_0_82_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom1]) ).
cnf(c_0_83_0,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| X2 = sz10
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom1]) ).
cnf(c_0_84_0,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom1]) ).
cnf(c_0_85_0,axiom,
( sdtasdt0(X2,X1) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_85,def_lhs_atom9]) ).
cnf(c_0_86_0,axiom,
( sdtpldt0(X2,X1) = sdtpldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_86,def_lhs_atom7]) ).
cnf(c_0_87_0,axiom,
( aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_87,def_lhs_atom6]) ).
cnf(c_0_88_0,axiom,
( aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom5]) ).
cnf(c_0_89_0,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_89,def_lhs_atom1]) ).
cnf(c_0_90_0,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| sk1_esk1_1(X1) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_90,def_lhs_atom1]) ).
cnf(c_0_91_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1) ),
inference(unfold_definition,[status(thm)],[c_0_91,def_lhs_atom1]) ).
cnf(c_0_92_0,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(X1)
| X1 = sz00
| X1 = sz10
| sk1_esk1_1(X1) != sz10 ),
inference(unfold_definition,[status(thm)],[c_0_92,def_lhs_atom1]) ).
cnf(c_0_93_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(unfold_definition,[status(thm)],[c_0_93,def_lhs_atom1]) ).
cnf(c_0_94_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_94,def_lhs_atom1]) ).
cnf(c_0_95_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_95,def_lhs_atom1]) ).
cnf(c_0_96_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_96,def_lhs_atom1]) ).
cnf(c_0_97_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_97,def_lhs_atom1]) ).
cnf(c_0_98_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_98,def_lhs_atom1]) ).
cnf(c_0_99_0,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(unfold_definition,[status(thm)],[c_0_99,def_lhs_atom1]) ).
cnf(c_0_100_0,axiom,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(unfold_definition,[status(thm)],[c_0_100,def_lhs_atom1]) ).
cnf(c_0_101_0,axiom,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(unfold_definition,[status(thm)],[c_0_101,def_lhs_atom1]) ).
cnf(c_0_102_0,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| X1 = sz10
| sz10 != X1 ),
inference(unfold_definition,[status(thm)],[c_0_102,def_lhs_atom1]) ).
cnf(c_0_103_0,axiom,
aNaturalNumber0(sz10),
inference(unfold_definition,[status(thm)],[c_0_103,def_lhs_atom4]) ).
cnf(c_0_104_0,axiom,
sz10 != sz00,
inference(unfold_definition,[status(thm)],[c_0_104,def_lhs_atom3]) ).
cnf(c_0_105_0,axiom,
aNaturalNumber0(sz00),
inference(unfold_definition,[status(thm)],[c_0_105,def_lhs_atom2]) ).
cnf(c_0_106_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_106,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('<stdin>',mAMDistr) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
file('<stdin>',mDivAsso) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
file('<stdin>',mDivMin) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('<stdin>',mMonMul) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
file('<stdin>',mMonAdd) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
file('<stdin>',mDivSum) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('<stdin>',mDefQuot) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('<stdin>',mDefDiff) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('<stdin>',mLETran) ).
fof(c_0_9_010,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('<stdin>',mDivTrans) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('<stdin>',mDefLE) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('<stdin>',mDefDiv) ).
fof(c_0_12_013,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('<stdin>',mAddCanc) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mLEAsym) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('<stdin>',mMonMul2) ).
fof(c_0_15_016,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('<stdin>',mIH_03) ).
fof(c_0_16_017,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('<stdin>',mDivLE) ).
fof(c_0_17_018,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('<stdin>',mLETotal) ).
fof(c_0_18_019,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroMul) ).
fof(c_0_19_020,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('<stdin>',mZeroAdd) ).
fof(c_0_20_021,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('<stdin>',mPrimDiv) ).
fof(c_0_21_022,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mIH) ).
fof(c_0_22_023,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
c_0_0 ).
fof(c_0_23_024,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> sdtasdt0(X3,sdtsldt0(X2,X1)) = sdtsldt0(sdtasdt0(X3,X2),X1) ) ) ),
c_0_1 ).
fof(c_0_24_025,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,sdtpldt0(X2,X3)) )
=> doDivides0(X1,X3) ) ),
c_0_2 ).
fof(c_0_25_026,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
c_0_3 ).
fof(c_0_26_027,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> ( sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
& sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
& sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
& sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3)) ) ) ) ),
c_0_4 ).
fof(c_0_27_028,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X1,X3) )
=> doDivides0(X1,sdtpldt0(X2,X3)) ) ),
c_0_5 ).
fof(c_0_28_029,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
c_0_6 ).
fof(c_0_29_030,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
c_0_7 ).
fof(c_0_30_031,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_8 ).
fof(c_0_31_032,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
c_0_9 ).
fof(c_0_32_033,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
c_0_10 ).
fof(c_0_33_034,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
c_0_11 ).
fof(c_0_34_035,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
c_0_12 ).
fof(c_0_35_036,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_13 ).
fof(c_0_36_037,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
c_0_14 ).
fof(c_0_37_038,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
c_0_15 ).
fof(c_0_38_039,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
c_0_16 ).
fof(c_0_39_040,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
c_0_17 ).
fof(c_0_40_041,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_18 ).
fof(c_0_41_042,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
c_0_19 ).
fof(c_0_42_043,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
c_0_20 ).
fof(c_0_43_044,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_44_045,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_45_046,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X6)
| sdtasdt0(X6,sdtsldt0(X5,X4)) = sdtsldt0(sdtasdt0(X6,X5),X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_46_047,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X4,sdtpldt0(X5,X6))
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_47_048,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| X4 = sz00
| X5 = X6
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_48_049,plain,
! [X4,X5,X6] :
( ( sdtpldt0(X6,X4) != sdtpldt0(X6,X5)
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtlseqdt0(sdtpldt0(X6,X4),sdtpldt0(X6,X5))
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,X6) != sdtpldt0(X5,X6)
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtlseqdt0(sdtpldt0(X4,X6),sdtpldt0(X5,X6))
| ~ aNaturalNumber0(X6)
| X4 = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_49_050,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X4,X6)
| doDivides0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_50_051,plain,
! [X4,X5,X6,X7] :
( ( aNaturalNumber0(X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,X6)
| X6 != sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| X7 = sdtsldt0(X5,X4)
| X4 = sz00
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
fof(c_0_51_052,plain,
! [X4,X5,X6,X7] :
( ( aNaturalNumber0(X6)
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,X6) = X5
| X6 != sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtpldt0(X4,X7) != X5
| X7 = sdtmndt0(X5,X4)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_52_053,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_53_054,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_54_055,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk3_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,esk3_2(X4,X5)) = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtpldt0(X4,X7) != X5
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).
fof(c_0_55_056,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk2_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk2_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])]) ).
fof(c_0_56_057,plain,
! [X4,X5,X6] :
( ( sdtpldt0(X4,X5) != sdtpldt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtpldt0(X5,X4) != sdtpldt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_57_058,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_58_059,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = sz00
| sdtlseqdt0(X4,sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_59_060,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| X3 = X4
| ~ sdtlseqdt0(X3,X4)
| iLess0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_60_061,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X3,X4)
| X4 = sz00
| sdtlseqdt0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
fof(c_0_61_062,plain,
! [X3,X4] :
( ( X4 != X3
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( sdtlseqdt0(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_62_063,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_63_064,plain,
! [X3,X4] :
( ( X3 = sz00
| sdtpldt0(X3,X4) != sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( X4 = sz00
| sdtpldt0(X3,X4) != sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_64_065,plain,
! [X3] :
( ( aNaturalNumber0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( doDivides0(esk1_1(X3),X3)
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( isPrime0(esk1_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
fof(c_0_65_066,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_43]) ).
cnf(c_0_66_067,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67_068,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_68_069,plain,
( sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69_070,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70_071,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71_072,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_72_073,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73_074,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_74_075,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_75_076,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_76_077,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_77_078,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_78_079,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_79_080,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_80_081,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_81_082,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82_083,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_83_084,plain,
( sdtpldt0(X2,esk3_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_84_085,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85_086,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_86_087,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_87_088,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_88_089,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_89_090,plain,
( aNaturalNumber0(esk3_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_90_091,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_91_092,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_92_093,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_93_094,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_94_095,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_95_096,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_96_097,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_97_098,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_98_099,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_99_100,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_100_101,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_101_102,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_102_103,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_103_104,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_104_105,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk1_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_105_106,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_106_107,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_107,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_108,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_66,
[final] ).
cnf(c_0_109,plain,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_67,
[final] ).
cnf(c_0_110,plain,
( sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_68,
[final] ).
cnf(c_0_111,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_69,
[final] ).
cnf(c_0_112,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_70,
[final] ).
cnf(c_0_113,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_71,
[final] ).
cnf(c_0_114,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_72,
[final] ).
cnf(c_0_115,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_73,
[final] ).
cnf(c_0_116,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_74,
[final] ).
cnf(c_0_117,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
c_0_75,
[final] ).
cnf(c_0_118,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
c_0_76,
[final] ).
cnf(c_0_119,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_77,
[final] ).
cnf(c_0_120,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_78,
[final] ).
cnf(c_0_121,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_79,
[final] ).
cnf(c_0_122,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_80,
[final] ).
cnf(c_0_123,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_81,
[final] ).
cnf(c_0_124,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_82,
[final] ).
cnf(c_0_125,plain,
( sdtpldt0(X2,esk3_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_83,
[final] ).
cnf(c_0_126,plain,
( sdtasdt0(X2,esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_84,
[final] ).
cnf(c_0_127,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_85,
[final] ).
cnf(c_0_128,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_86,
[final] ).
cnf(c_0_129,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_87,
[final] ).
cnf(c_0_130,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_88,
[final] ).
cnf(c_0_131,plain,
( aNaturalNumber0(esk3_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_89,
[final] ).
cnf(c_0_132,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_90,
[final] ).
cnf(c_0_133,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_91,
[final] ).
cnf(c_0_134,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_92,
[final] ).
cnf(c_0_135,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_93,
[final] ).
cnf(c_0_136,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_94,
[final] ).
cnf(c_0_137,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_95,
[final] ).
cnf(c_0_138,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_96,
[final] ).
cnf(c_0_139,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_97,
[final] ).
cnf(c_0_140,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_98,
[final] ).
cnf(c_0_141,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_99,
[final] ).
cnf(c_0_142,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_100,
[final] ).
cnf(c_0_143,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_101,
[final] ).
cnf(c_0_144,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_102,
[final] ).
cnf(c_0_145,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
c_0_103,
[final] ).
cnf(c_0_146,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk1_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
c_0_104,
[final] ).
cnf(c_0_147,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_105,
[final] ).
cnf(c_0_148,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_106,
[final] ).
cnf(c_0_149,plain,
$true,
c_0_107,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_108_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( X3 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtasdt0(X1,sdtsldt0(X2,X3)) = sdtsldt0(sdtasdt0(X1,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ doDivides0(X1,sdtpldt0(X3,X2))
| doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| doDivides0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( X3 = sz00
| X2 = X1
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_6,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( X3 = sz00
| X2 = X1
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_6,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_4,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_4,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| doDivides0(X1,sdtpldt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_5,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_6,axiom,
( sdtasdt0(X3,X2) != sdtasdt0(X3,X1)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_5,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_6,axiom,
( sdtasdt0(X2,X3) != sdtasdt0(X1,X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_5,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_5,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_5,axiom,
( X1 != sdtasdt0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_6,axiom,
( ~ aNaturalNumber0(X3)
| X1 != sdtasdt0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtsldt0(X1,X2)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_4,axiom,
( sdtpldt0(X2,X3) != X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_5,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( sdtpldt0(X2,sk2_esk3_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk3_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk3_2(X2,X1)) = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk2_esk3_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( sdtasdt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk2_2(X2,X1)) = X1
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk2_esk2_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sdtasdt0(X2,X3)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_4,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( aNaturalNumber0(sk2_esk3_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk3_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk3_2(X2,X1))
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk3_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1))
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk2_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_5,axiom,
( X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_4,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_4,axiom,
( ~ aNaturalNumber0(X3)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( X1 = X2
| iLess0(X1,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_3,axiom,
( X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( X1 = sz10
| X1 = sz00
| doDivides0(sk2_esk1_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( X1 = sz00
| X1 = sz10
| doDivides0(sk2_esk1_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( doDivides0(sk2_esk1_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_3,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(sk2_esk1_1(X1),X1)
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(sk2_esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(sk2_esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( aNaturalNumber0(sk2_esk1_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_3,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk2_esk1_1(X1))
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(sk2_esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( X1 = sz00
| X1 = sz10
| isPrime0(sk2_esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( isPrime0(sk2_esk1_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_3,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(sk2_esk1_1(X1))
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_149]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_108,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ( ( X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
& doDivides0(X4,X3) )
=> ( X4 = sz10
| X4 = X3 ) ) )
| isPrime0(X3) )
& ( ? [X4] :
( aNaturalNumber0(X4)
& sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
| doDivides0(X3,sdtasdt0(X1,X2)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X4] :
( aNaturalNumber0(X4)
& X1 = sdtasdt0(X3,X4) )
& doDivides0(X3,X1) )
| ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) ) ) ) ),
file('<stdin>',m__1799) ).
fof(c_0_1_109,conjecture,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
| sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
file('<stdin>',m__) ).
fof(c_0_2_110,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
file('<stdin>',m__1951) ).
fof(c_0_3_111,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('<stdin>',m__1860) ).
fof(c_0_4_112,hypothesis,
xn = sdtpldt0(xp,xr),
file('<stdin>',m__1924) ).
fof(c_0_5_113,hypothesis,
( xr != xn
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xn )
& sdtlseqdt0(xr,xn) ),
file('<stdin>',m__1894) ).
fof(c_0_6_114,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('<stdin>',m__1883) ).
fof(c_0_7_115,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
& sdtlseqdt0(xp,xn) ),
file('<stdin>',m__1870) ).
fof(c_0_8_116,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('<stdin>',m__1837) ).
fof(c_0_9_117,hypothesis,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ( ( X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
& doDivides0(X4,X3) )
=> ( X4 = sz10
| X4 = X3 ) ) )
| isPrime0(X3) )
& ( ? [X4] :
( aNaturalNumber0(X4)
& sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
| doDivides0(X3,sdtasdt0(X1,X2)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X4] :
( aNaturalNumber0(X4)
& X1 = sdtasdt0(X3,X4) )
& doDivides0(X3,X1) )
| ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) ) ) ) ),
c_0_0 ).
fof(c_0_10_118,negated_conjecture,
~ ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
| sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(assume_negation,[status(cth)],[c_0_1]) ).
fof(c_0_11_119,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
c_0_2 ).
fof(c_0_12_120,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
c_0_3 ).
fof(c_0_13_121,hypothesis,
xn = sdtpldt0(xp,xr),
c_0_4 ).
fof(c_0_14_122,hypothesis,
( xr != xn
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xn )
& sdtlseqdt0(xr,xn) ),
c_0_5 ).
fof(c_0_15_123,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
c_0_6 ).
fof(c_0_16_124,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
& sdtlseqdt0(xp,xn) ),
c_0_7 ).
fof(c_0_17_125,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
c_0_8 ).
fof(c_0_18_126,hypothesis,
! [X6,X7,X8,X11] :
( ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk1_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| aNaturalNumber0(esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| X8 = sdtasdt0(esk1_3(X6,X7,X8),esk2_3(X6,X7,X8))
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| doDivides0(esk1_3(X6,X7,X8),X8)
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != sz10
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| esk1_3(X6,X7,X8) != X8
| X8 = sz10
| X8 = sz00
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X11)
| sdtasdt0(X6,X7) != sdtasdt0(X8,X11)
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| aNaturalNumber0(esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| X6 = sdtasdt0(X8,esk3_3(X6,X7,X8))
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( aNaturalNumber0(esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( X7 = sdtasdt0(X8,esk4_3(X6,X7,X8))
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) )
& ( doDivides0(X8,X7)
| doDivides0(X8,X6)
| ~ iLess0(sdtpldt0(sdtpldt0(X6,X7),X8),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X8,sdtasdt0(X6,X7))
| ~ isPrime0(X8)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_19_127,negated_conjecture,
( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
& sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
fof(c_0_20_128,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
c_0_11 ).
fof(c_0_21_129,hypothesis,
! [X3,X4] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X4)
| xp != sdtasdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| X3 = sz10
| X3 = xp )
& ( ~ doDivides0(X3,xp)
| ~ aNaturalNumber0(X3)
| X3 = sz10
| X3 = xp )
& isPrime0(xp)
& aNaturalNumber0(esk5_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk5_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_22_130,hypothesis,
xn = sdtpldt0(xp,xr),
c_0_13 ).
fof(c_0_23_131,hypothesis,
( xr != xn
& aNaturalNumber0(esk7_0)
& sdtpldt0(xr,esk7_0) = xn
& sdtlseqdt0(xr,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_24_132,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
c_0_15 ).
fof(c_0_25_133,hypothesis,
( aNaturalNumber0(esk6_0)
& sdtpldt0(xp,esk6_0) = xn
& sdtlseqdt0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).
fof(c_0_26_134,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
c_0_17 ).
cnf(c_0_27_135,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_136,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29_137,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30_138,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31_139,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32_140,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33_141,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34_142,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35_143,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36_144,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37_145,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38_146,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39_147,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40_148,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41_149,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42_150,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43_151,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_44_152,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45_153,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46_154,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_47_155,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_48_156,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_49_157,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50_158,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_51_159,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_52_160,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53_161,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_54_162,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_55_163,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56_164,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57_165,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58_166,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59_167,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_60_168,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_61_169,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_62_170,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_63_171,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_64_172,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65_173,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66_174,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_67_175,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_68_176,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_69_177,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_70_178,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_71_179,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_72_180,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_73_181,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_74_182,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_75_183,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_76_184,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_77_185,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_78_186,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_79_187,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_80_188,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_81_189,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_82_190,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_83_191,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_84_192,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_85_193,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_86_194,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_87_195,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_88_196,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_89_197,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_90_198,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_91_199,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_92_200,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_93_201,hypothesis,
( X1 = sz00
| X1 = sz10
| X1 = sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_94_202,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_95_203,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_96_204,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_97_205,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_98_206,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_99_207,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_100_208,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_101_209,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_102_210,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_103_211,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_104_212,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_105_213,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_106_214,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_107_215,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_108_216,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_109_217,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_110_218,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_111_219,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_112_220,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_113_221,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_114_222,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_115_223,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_116_224,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_117_225,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_118_226,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_119_227,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_120_228,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_121_229,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_122_230,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_123_231,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_124_232,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_125_233,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_126_234,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_127_235,hypothesis,
( X1 = sz00
| X1 = sz10
| X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_128_236,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_129_237,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_130_238,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_131_239,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_132_240,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_133_241,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_134_242,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_135_243,hypothesis,
( doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_136_244,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_137_245,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_138_246,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_139_247,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_140_248,hypothesis,
( doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_141_249,hypothesis,
( X3 = sdtasdt0(X1,esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_142_250,hypothesis,
( doDivides0(X1,X3)
| X2 = sdtasdt0(X1,esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_143_251,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_144_252,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_145_253,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_146_254,hypothesis,
( doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_147_255,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_148_256,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_149_257,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_150,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_151,hypothesis,
( doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_152,hypothesis,
( doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_153,negated_conjecture,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_154,negated_conjecture,
sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_155,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_156,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_157,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_158,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_159,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_160,hypothesis,
xn = sdtpldt0(xp,xr),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_161,hypothesis,
sdtpldt0(xr,esk7_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_162,hypothesis,
sdtlseqdt0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_163,hypothesis,
sdtpldt0(xp,xr) = xn,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_164,hypothesis,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_165,hypothesis,
sdtpldt0(xp,esk6_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_166,hypothesis,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_167,hypothesis,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_168,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_169,hypothesis,
aNaturalNumber0(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_170,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_171,hypothesis,
aNaturalNumber0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_172,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_173,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_174,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_175,hypothesis,
xr != xn,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_176,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_177,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_178,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_27,
[final] ).
cnf(c_0_179,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_28,
[final] ).
cnf(c_0_180,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_29,
[final] ).
cnf(c_0_181,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_30,
[final] ).
cnf(c_0_182,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_31,
[final] ).
cnf(c_0_183,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_32,
[final] ).
cnf(c_0_184,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_33,
[final] ).
cnf(c_0_185,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_34,
[final] ).
cnf(c_0_186,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_35,
[final] ).
cnf(c_0_187,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_36,
[final] ).
cnf(c_0_188,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_37,
[final] ).
cnf(c_0_189,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_38,
[final] ).
cnf(c_0_190,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_39,
[final] ).
cnf(c_0_191,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_40,
[final] ).
cnf(c_0_192,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_41,
[final] ).
cnf(c_0_193,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_42,
[final] ).
cnf(c_0_194,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_43,
[final] ).
cnf(c_0_195,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_44,
[final] ).
cnf(c_0_196,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_45,
[final] ).
cnf(c_0_197,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_46,
[final] ).
cnf(c_0_198,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_47,
[final] ).
cnf(c_0_199,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_48,
[final] ).
cnf(c_0_200,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_49,
[final] ).
cnf(c_0_201,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_50,
[final] ).
cnf(c_0_202,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_51,
[final] ).
cnf(c_0_203,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_52,
[final] ).
cnf(c_0_204,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_53,
[final] ).
cnf(c_0_205,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_54,
[final] ).
cnf(c_0_206,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_55,
[final] ).
cnf(c_0_207,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_56,
[final] ).
cnf(c_0_208,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_57,
[final] ).
cnf(c_0_209,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_58,
[final] ).
cnf(c_0_210,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_59,
[final] ).
cnf(c_0_211,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_60,
[final] ).
cnf(c_0_212,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_61,
[final] ).
cnf(c_0_213,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_62,
[final] ).
cnf(c_0_214,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_63,
[final] ).
cnf(c_0_215,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_64,
[final] ).
cnf(c_0_216,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_65,
[final] ).
cnf(c_0_217,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_66,
[final] ).
cnf(c_0_218,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_67,
[final] ).
cnf(c_0_219,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_68,
[final] ).
cnf(c_0_220,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_69,
[final] ).
cnf(c_0_221,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_70,
[final] ).
cnf(c_0_222,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_71,
[final] ).
cnf(c_0_223,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_72,
[final] ).
cnf(c_0_224,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_73,
[final] ).
cnf(c_0_225,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_74,
[final] ).
cnf(c_0_226,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_75,
[final] ).
cnf(c_0_227,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_76,
[final] ).
cnf(c_0_228,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_77,
[final] ).
cnf(c_0_229,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_78,
[final] ).
cnf(c_0_230,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_79,
[final] ).
cnf(c_0_231,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_80,
[final] ).
cnf(c_0_232,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_81,
[final] ).
cnf(c_0_233,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_82,
[final] ).
cnf(c_0_234,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_83,
[final] ).
cnf(c_0_235,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_84,
[final] ).
cnf(c_0_236,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_85,
[final] ).
cnf(c_0_237,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_86,
[final] ).
cnf(c_0_238,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_87,
[final] ).
cnf(c_0_239,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_88,
[final] ).
cnf(c_0_240,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_89,
[final] ).
cnf(c_0_241,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_90,
[final] ).
cnf(c_0_242,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_91,
[final] ).
cnf(c_0_243,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_92,
[final] ).
cnf(c_0_244,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(esk1_3(X3,X2,X1),esk2_3(X3,X2,X1)) = X1
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_93,
[final] ).
cnf(c_0_245,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_94,
[final] ).
cnf(c_0_246,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_95,
[final] ).
cnf(c_0_247,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_96,
[final] ).
cnf(c_0_248,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_97,
[final] ).
cnf(c_0_249,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_98,
[final] ).
cnf(c_0_250,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_99,
[final] ).
cnf(c_0_251,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_100,
[final] ).
cnf(c_0_252,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_101,
[final] ).
cnf(c_0_253,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_102,
[final] ).
cnf(c_0_254,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_103,
[final] ).
cnf(c_0_255,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_104,
[final] ).
cnf(c_0_256,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_105,
[final] ).
cnf(c_0_257,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_106,
[final] ).
cnf(c_0_258,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_107,
[final] ).
cnf(c_0_259,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_108,
[final] ).
cnf(c_0_260,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_109,
[final] ).
cnf(c_0_261,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_110,
[final] ).
cnf(c_0_262,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_111,
[final] ).
cnf(c_0_263,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_112,
[final] ).
cnf(c_0_264,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_113,
[final] ).
cnf(c_0_265,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_114,
[final] ).
cnf(c_0_266,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_115,
[final] ).
cnf(c_0_267,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_116,
[final] ).
cnf(c_0_268,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_117,
[final] ).
cnf(c_0_269,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_118,
[final] ).
cnf(c_0_270,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_119,
[final] ).
cnf(c_0_271,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_120,
[final] ).
cnf(c_0_272,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_121,
[final] ).
cnf(c_0_273,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_122,
[final] ).
cnf(c_0_274,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_123,
[final] ).
cnf(c_0_275,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_124,
[final] ).
cnf(c_0_276,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_125,
[final] ).
cnf(c_0_277,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_126,
[final] ).
cnf(c_0_278,hypothesis,
( X1 = sz00
| X1 = sz10
| sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_127,
[final] ).
cnf(c_0_279,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_128,
[final] ).
cnf(c_0_280,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_129,
[final] ).
cnf(c_0_281,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_130,
[final] ).
cnf(c_0_282,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_131,
[final] ).
cnf(c_0_283,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_132,
[final] ).
cnf(c_0_284,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_133,
[final] ).
cnf(c_0_285,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_134,
[final] ).
cnf(c_0_286,hypothesis,
( doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_135,
[final] ).
cnf(c_0_287,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_136,
[final] ).
cnf(c_0_288,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_137,
[final] ).
cnf(c_0_289,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(esk1_3(X3,X2,X1),X1)
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_138,
[final] ).
cnf(c_0_290,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_139,
[final] ).
cnf(c_0_291,hypothesis,
( doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_140,
[final] ).
cnf(c_0_292,hypothesis,
( sdtasdt0(X1,esk3_3(X3,X2,X1)) = X3
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_141,
[final] ).
cnf(c_0_293,hypothesis,
( doDivides0(X1,X3)
| sdtasdt0(X1,esk4_3(X3,X2,X1)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_142,
[final] ).
cnf(c_0_294,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk1_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_143,
[final] ).
cnf(c_0_295,hypothesis,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk2_3(X3,X2,X1))
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_144,
[final] ).
cnf(c_0_296,hypothesis,
( aNaturalNumber0(esk3_3(X3,X2,X1))
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_145,
[final] ).
cnf(c_0_297,hypothesis,
( doDivides0(X1,X3)
| aNaturalNumber0(esk4_3(X3,X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_146,
[final] ).
cnf(c_0_298,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_147,
[final] ).
cnf(c_0_299,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_148,
[final] ).
cnf(c_0_300,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != X1
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_149,
[final] ).
cnf(c_0_301,hypothesis,
( X1 = sz00
| X1 = sz10
| doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| esk1_3(X3,X2,X1) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_150,
[final] ).
cnf(c_0_302,hypothesis,
( doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_151,
[final] ).
cnf(c_0_303,hypothesis,
( doDivides0(X1,X3)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X1)
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_152,
[final] ).
cnf(c_0_304,negated_conjecture,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
c_0_153,
[final] ).
cnf(c_0_305,negated_conjecture,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) != sdtasdt0(xr,xm),
c_0_154,
[final] ).
cnf(c_0_306,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
c_0_155,
[final] ).
cnf(c_0_307,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ),
c_0_156,
[final] ).
cnf(c_0_308,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
c_0_157,
[final] ).
cnf(c_0_309,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
c_0_158,
[final] ).
cnf(c_0_310,hypothesis,
sdtasdt0(xp,esk5_0) = sdtasdt0(xn,xm),
c_0_159,
[final] ).
cnf(c_0_311,hypothesis,
sdtpldt0(xp,xr) = xn,
c_0_160,
[final] ).
cnf(c_0_312,hypothesis,
sdtpldt0(xr,esk7_0) = xn,
c_0_161,
[final] ).
cnf(c_0_313,hypothesis,
sdtlseqdt0(xr,xn),
c_0_162,
[final] ).
cnf(c_0_314,hypothesis,
sdtpldt0(xp,xr) = xn,
c_0_163,
[final] ).
cnf(c_0_315,hypothesis,
sdtmndt0(xn,xp) = xr,
c_0_164,
[final] ).
cnf(c_0_316,hypothesis,
sdtpldt0(xp,esk6_0) = xn,
c_0_165,
[final] ).
cnf(c_0_317,hypothesis,
sdtlseqdt0(xp,xn),
c_0_166,
[final] ).
cnf(c_0_318,hypothesis,
aNaturalNumber0(esk7_0),
c_0_167,
[final] ).
cnf(c_0_319,hypothesis,
aNaturalNumber0(xr),
c_0_168,
[final] ).
cnf(c_0_320,hypothesis,
aNaturalNumber0(esk6_0),
c_0_169,
[final] ).
cnf(c_0_321,hypothesis,
isPrime0(xp),
c_0_170,
[final] ).
cnf(c_0_322,hypothesis,
aNaturalNumber0(esk5_0),
c_0_171,
[final] ).
cnf(c_0_323,hypothesis,
aNaturalNumber0(xn),
c_0_172,
[final] ).
cnf(c_0_324,hypothesis,
aNaturalNumber0(xm),
c_0_173,
[final] ).
cnf(c_0_325,hypothesis,
aNaturalNumber0(xp),
c_0_174,
[final] ).
cnf(c_0_326,hypothesis,
xr != xn,
c_0_175,
[final] ).
cnf(c_0_327,hypothesis,
sz00 != xp,
c_0_176,
[final] ).
cnf(c_0_328,hypothesis,
sz10 != xp,
c_0_177,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_375,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/iprover_modulo_5f4d4c.p',c_0_306) ).
cnf(c_370,negated_conjecture,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
file('/export/starexec/sandbox2/tmp/iprover_modulo_5f4d4c.p',c_0_304) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_375,c_370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM490+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n020.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 : 600
% 0.12/0.34 % DateTime : Thu Jul 7 19:26:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.43 % FOF problem with conjecture
% 0.20/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_eecf00.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_5f4d4c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_052e18 | grep -v "SZS"
% 0.20/0.45
% 0.20/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ iProver source info
% 0.20/0.45
% 0.20/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.45 % git: non_committed_changes: true
% 0.20/0.45 % git: last_make_outside_of_git: true
% 0.20/0.45
% 0.20/0.45 %
% 0.20/0.45 % ------ Input Options
% 0.20/0.45
% 0.20/0.45 % --out_options all
% 0.20/0.45 % --tptp_safe_out true
% 0.20/0.45 % --problem_path ""
% 0.20/0.45 % --include_path ""
% 0.20/0.45 % --clausifier .//eprover
% 0.20/0.45 % --clausifier_options --tstp-format
% 0.20/0.45 % --stdin false
% 0.20/0.45 % --dbg_backtrace false
% 0.20/0.45 % --dbg_dump_prop_clauses false
% 0.20/0.45 % --dbg_dump_prop_clauses_file -
% 0.20/0.45 % --dbg_out_stat false
% 0.20/0.45
% 0.20/0.45 % ------ General Options
% 0.20/0.45
% 0.20/0.45 % --fof false
% 0.20/0.45 % --time_out_real 150.
% 0.20/0.45 % --time_out_prep_mult 0.2
% 0.20/0.45 % --time_out_virtual -1.
% 0.20/0.45 % --schedule none
% 0.20/0.45 % --ground_splitting input
% 0.20/0.45 % --splitting_nvd 16
% 0.20/0.45 % --non_eq_to_eq false
% 0.20/0.45 % --prep_gs_sim true
% 0.20/0.45 % --prep_unflatten false
% 0.20/0.45 % --prep_res_sim true
% 0.20/0.45 % --prep_upred true
% 0.20/0.45 % --res_sim_input true
% 0.20/0.45 % --clause_weak_htbl true
% 0.20/0.45 % --gc_record_bc_elim false
% 0.20/0.45 % --symbol_type_check false
% 0.20/0.45 % --clausify_out false
% 0.20/0.45 % --large_theory_mode false
% 0.20/0.45 % --prep_sem_filter none
% 0.20/0.45 % --prep_sem_filter_out false
% 0.20/0.45 % --preprocessed_out false
% 0.20/0.45 % --sub_typing false
% 0.20/0.45 % --brand_transform false
% 0.20/0.45 % --pure_diseq_elim true
% 0.20/0.45 % --min_unsat_core false
% 0.20/0.45 % --pred_elim true
% 0.20/0.45 % --add_important_lit false
% 0.20/0.45 % --soft_assumptions false
% 0.20/0.45 % --reset_solvers false
% 0.20/0.45 % --bc_imp_inh []
% 0.20/0.45 % --conj_cone_tolerance 1.5
% 0.20/0.45 % --prolific_symb_bound 500
% 0.20/0.45 % --lt_threshold 2000
% 0.20/0.45
% 0.20/0.45 % ------ SAT Options
% 0.20/0.45
% 0.20/0.45 % --sat_mode false
% 0.20/0.45 % --sat_fm_restart_options ""
% 0.20/0.45 % --sat_gr_def false
% 0.20/0.45 % --sat_epr_types true
% 0.20/0.45 % --sat_non_cyclic_types false
% 0.20/0.45 % --sat_finite_models false
% 0.20/0.45 % --sat_fm_lemmas false
% 0.20/0.45 % --sat_fm_prep false
% 0.20/0.45 % --sat_fm_uc_incr true
% 0.20/0.45 % --sat_out_model small
% 0.20/0.45 % --sat_out_clauses false
% 0.20/0.45
% 0.20/0.45 % ------ QBF Options
% 0.20/0.45
% 0.20/0.45 % --qbf_mode false
% 0.20/0.45 % --qbf_elim_univ true
% 0.20/0.45 % --qbf_sk_in true
% 0.20/0.45 % --qbf_pred_elim true
% 0.20/0.45 % --qbf_split 32
% 0.20/0.45
% 0.20/0.45 % ------ BMC1 Options
% 0.20/0.45
% 0.20/0.45 % --bmc1_incremental false
% 0.20/0.45 % --bmc1_axioms reachable_all
% 0.20/0.45 % --bmc1_min_bound 0
% 0.20/0.45 % --bmc1_max_bound -1
% 0.20/0.45 % --bmc1_max_bound_default -1
% 0.20/0.45 % --bmc1_symbol_reachability true
% 0.20/0.45 % --bmc1_property_lemmas false
% 0.20/0.45 % --bmc1_k_induction false
% 0.20/0.45 % --bmc1_non_equiv_states false
% 0.20/0.45 % --bmc1_deadlock false
% 0.20/0.45 % --bmc1_ucm false
% 0.20/0.45 % --bmc1_add_unsat_core none
% 0.20/0.45 % --bmc1_unsat_core_children false
% 0.20/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.45 % --bmc1_out_stat full
% 0.20/0.45 % --bmc1_ground_init false
% 0.20/0.45 % --bmc1_pre_inst_next_state false
% 0.20/0.45 % --bmc1_pre_inst_state false
% 0.20/0.45 % --bmc1_pre_inst_reach_state false
% 0.20/0.45 % --bmc1_out_unsat_core false
% 0.20/0.45 % --bmc1_aig_witness_out false
% 0.20/0.45 % --bmc1_verbose false
% 0.20/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.49 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.49 % --bmc1_dump_file -
% 0.20/0.49 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.49 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.49 % --bmc1_ucm_extend_mode 1
% 0.20/0.49 % --bmc1_ucm_init_mode 2
% 0.20/0.49 % --bmc1_ucm_cone_mode none
% 0.20/0.49 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.49 % --bmc1_ucm_relax_model 4
% 0.20/0.49 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.49 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.49 % --bmc1_ucm_layered_model none
% 0.20/0.49 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.49
% 0.20/0.49 % ------ AIG Options
% 0.20/0.49
% 0.20/0.49 % --aig_mode false
% 0.20/0.49
% 0.20/0.49 % ------ Instantiation Options
% 0.20/0.49
% 0.20/0.49 % --instantiation_flag true
% 0.20/0.49 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.49 % --inst_solver_per_active 750
% 0.20/0.49 % --inst_solver_calls_frac 0.5
% 0.20/0.49 % --inst_passive_queue_type priority_queues
% 0.20/0.49 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.49 % --inst_passive_queues_freq [25;2]
% 0.20/0.49 % --inst_dismatching true
% 0.20/0.49 % --inst_eager_unprocessed_to_passive true
% 0.20/0.49 % --inst_prop_sim_given true
% 0.20/0.49 % --inst_prop_sim_new false
% 0.20/0.49 % --inst_orphan_elimination true
% 0.20/0.49 % --inst_learning_loop_flag true
% 0.20/0.49 % --inst_learning_start 3000
% 0.20/0.49 % --inst_learning_factor 2
% 0.20/0.49 % --inst_start_prop_sim_after_learn 3
% 0.20/0.49 % --inst_sel_renew solver
% 0.20/0.49 % --inst_lit_activity_flag true
% 0.20/0.49 % --inst_out_proof true
% 0.20/0.49
% 0.20/0.49 % ------ Resolution Options
% 0.20/0.49
% 0.20/0.49 % --resolution_flag true
% 0.20/0.49 % --res_lit_sel kbo_max
% 0.20/0.49 % --res_to_prop_solver none
% 0.20/0.49 % --res_prop_simpl_new false
% 0.20/0.49 % --res_prop_simpl_given false
% 0.20/0.49 % --res_passive_queue_type priority_queues
% 0.20/0.49 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.49 % --res_passive_queues_freq [15;5]
% 0.20/0.49 % --res_forward_subs full
% 0.20/0.49 % --res_backward_subs full
% 0.20/0.49 % --res_forward_subs_resolution true
% 0.20/0.49 % --res_backward_subs_resolution true
% 0.20/0.49 % --res_orphan_elimination false
% 0.20/0.49 % --res_time_limit 1000.
% 0.20/0.49 % --res_out_proof true
% 0.20/0.49 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_eecf00.s
% 0.20/0.49 % --modulo true
% 0.20/0.49
% 0.20/0.49 % ------ Combination Options
% 0.20/0.49
% 0.20/0.49 % --comb_res_mult 1000
% 0.20/0.49 % --comb_inst_mult 300
% 0.20/0.49 % ------
% 0.20/0.49
% 0.20/0.49 % ------ Parsing...% successful
% 0.20/0.49
% 0.20/0.49 %
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % ------ Statistics
% 0.20/0.49
% 0.20/0.49 % ------ General
% 0.20/0.49
% 0.20/0.49 % num_of_input_clauses: 393
% 0.20/0.49 % num_of_input_neg_conjectures: 2
% 0.20/0.49 % num_of_splits: 0
% 0.20/0.49 % num_of_split_atoms: 0
% 0.20/0.49 % num_of_sem_filtered_clauses: 0
% 0.20/0.49 % num_of_subtypes: 0
% 0.20/0.49 % monotx_restored_types: 0
% 0.20/0.49 % sat_num_of_epr_types: 0
% 0.20/0.49 % sat_num_of_non_cyclic_types: 0
% 0.20/0.49 % sat_guarded_non_collapsed_types: 0
% 0.20/0.49 % is_epr: 0
% 0.20/0.49 % is_horn: 0
% 0.20/0.49 % has_eq: 0
% 0.20/0.49 % num_pure_diseq_elim: 0
% 0.20/0.49 % simp_replaced_by: 0
% 0.20/0.49 % res_preprocessed: 0
% 0.20/0.49 % prep_upred: 0
% 0.20/0.49 % prep_unflattend: 0
% 0.20/0.49 % pred_elim_cands: 0
% 0.20/0.49 % pred_elim: 0
% 0.20/0.49 % pred_elim_cl: 0
% 0.20/0.49 % pred_elim_cycles: 0
% 0.20/0.49 % forced_gc_time: 0
% 0.20/0.49 % gc_basic_clause_elim: 0
% 0.20/0.49 % parsing_time: 0.034
% 0.20/0.49 % sem_filter_time: 0.
% 0.20/0.49 % pred_elim_time: 0.
% 0.20/0.49 % out_proof_time: 0.
% 0.20/0.49 % monotx_time: 0.
% 0.20/0.49 % subtype_inf_time: 0.
% 0.20/0.49 % unif_index_cands_time: 0.
% 0.20/0.49 % unif_index_add_time: 0.
% 0.20/0.49 % total_time: 0.053
% 0.20/0.49 % num_of_symbols: 51
% 0.20/0.49 % num_of_terms: 367
% 0.20/0.49
% 0.20/0.49 % ------ Propositional Solver
% 0.20/0.49
% 0.20/0.49 % prop_solver_calls: 0
% 0.20/0.49 % prop_fast_solver_calls: 0
% 0.20/0.49 % prop_num_of_clauses: 18
% 0.20/0.49 % prop_preprocess_simplified: 3
% 0.20/0.49 % prop_fo_subsumed: 0
% 0.20/0.49 % prop_solver_time: 0.
% 0.20/0.49 % prop_fast_solver_time: 0.
% 0.20/0.49 % prop_unsat_core_time: 0.
% 0.20/0.49
% 0.20/0.49 % ------ QBF
% 0.20/0.49
% 0.20/0.49 % qbf_q_res: 0
% 0.20/0.49 % qbf_num_tautologies: 0
% 0.20/0.49 % qbf_prep_cycles: 0
% 0.20/0.49
% 0.20/0.49 % ------ BMC1
% 0.20/0.49
% 0.20/0.49 % bmc1_current_bound: -1
% 0.20/0.49 % bmc1_last_solved_bound: -1
% 0.20/0.49 % bmc1_unsat_core_size: -1
% 0.20/0.49 % bmc1_unsat_core_parents_size: -1
% 0.20/0.49 % bmc1_merge_next_fun: 0
% 0.20/0.49 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.49
% 0.20/0.49 % ------ Instantiation
% 0.20/0.49
% 0.20/0.49 % inst_num_of_clauses: undef
% 0.20/0.49 % inst_num_in_passive: undef
% 0.20/0.49 % inst_num_in_active: 0
% 0.20/0.49 % inst_num_in_unprocessed: 0
% 0.20/0.49 % inst_num_of_loops: 0
% 0.20/0.49 % inst_num_of_learning_restarts: 0
% 0.20/0.49 % inst_num_moves_active_passive: 0
% 0.20/0.49 % inst_lit_activity: 0
% 0.20/0.49 % inst_lit_activity_moves: 0
% 0.20/0.49 % inst_num_tautologies: 0
% 0.20/0.49 % inst_num_prop_implied: 0
% 0.20/0.49 % inst_num_existing_simplified: 0
% 0.20/0.49 % inst_num_eq_res_simplified: 0
% 0.20/0.49 % inst_num_child_elim: 0
% 0.20/0.49 % inst_num_of_dismatching_blockings: 0
% 0.20/0.49 % inst_num_of_non_proper_insts: 0
% 0.20/0.49 % inst_num_of_duplicates: 0
% 0.20/0.49 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.49 % inst_dismatching_checking_time: 0.
% 0.20/0.49
% 0.20/0.49 % ------ Resolution
% 0.20/0.49
% 0.20/0.49 % res_num_of_clauses: undef
% 0.20/0.49 % res_num_in_passive: undef
% 0.20/0.49 % res_num_in_active: 0
% 0.20/0.49 % res_num_of_loops: 0
% 0.20/0.49 % res_forward_subset_subsumed: 0
% 0.20/0.49 % res_backward_subset_subsumed: 0
% 0.20/0.49 % res_forward_subsumed: 0
% 0.20/0.49 % res_backward_subsumed: 0
% 0.20/0.49 % res_forward_subsumption_resolution: 0
% 0.20/0.49 % res_backward_subsumption_resolution: 0
% 0.20/0.49 % res_clause_to_clause_subsumption: 0
% 0.20/0.49 % res_orphan_elimination: 0
% 0.20/0.49 % res_tautology_del: 0
% 0.20/0.49 % res_num_eq_res_simplified: 0
% 0.20/0.49 % res_num_sel_changes: 0
% 0.20/0.49 % res_moves_from_active_to_pass: 0
% 0.20/0.49
% 0.20/0.49 % Status Unsatisfiable
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------