TSTP Solution File: NUM494+3 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 10:58:06 EDT 2022
% Result : Theorem 173.92s 174.11s
% Output : CNFRefutation 173.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 56
% Syntax : Number of formulae : 910 ( 73 unt; 0 def)
% Number of atoms : 6948 (2234 equ)
% Maximal formula atoms : 1287 ( 7 avg)
% Number of connectives : 10024 (3986 ~;5512 |; 391 &)
% ( 10 <=>; 125 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-3 aty)
% Number of variables : 2181 ( 6 sgn 258 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,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,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,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,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,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,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,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('<stdin>',mMulAsso) ).
fof(c_0_7,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('<stdin>',mAddAsso) ).
fof(c_0_8,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_9,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_10,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_11,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_12,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('<stdin>',mDefDiv) ).
fof(c_0_13,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('<stdin>',mDefLE) ).
fof(c_0_14,axiom,
! [X1] :
( aNaturalNumber0(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>',mMulCanc) ).
fof(c_0_15,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_16,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('<stdin>',mLEAsym) ).
fof(c_0_17,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('<stdin>',mMonMul2) ).
fof(c_0_18,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('<stdin>',mIH_03) ).
fof(c_0_19,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('<stdin>',mDivLE) ).
fof(c_0_20,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('<stdin>',mDefPrime) ).
fof(c_0_21,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('<stdin>',mSortsB_02) ).
fof(c_0_22,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('<stdin>',mSortsB) ).
fof(c_0_23,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('<stdin>',mLETotal) ).
fof(c_0_24,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('<stdin>',mMulComm) ).
fof(c_0_25,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('<stdin>',mAddComm) ).
fof(c_0_26,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mZeroMul) ).
fof(c_0_27,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('<stdin>',mZeroAdd) ).
fof(c_0_28,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('<stdin>',mPrimDiv) ).
fof(c_0_29,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
file('<stdin>',mLENTr) ).
fof(c_0_30,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
file('<stdin>',mLERefl) ).
fof(c_0_31,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',m_MulUnit) ).
fof(c_0_32,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',m_AddZero) ).
fof(c_0_33,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',m_MulZero) ).
fof(c_0_34,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('<stdin>',mSortsC_01) ).
fof(c_0_35,axiom,
aNaturalNumber0(sz00),
file('<stdin>',mSortsC) ).
fof(c_0_36,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mIH) ).
fof(c_0_37,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> $true ),
file('<stdin>',mNatSort) ).
fof(c_0_38,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_39,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_40,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_41,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_42,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_43,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_44,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
c_0_6 ).
fof(c_0_45,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
c_0_7 ).
fof(c_0_46,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_8 ).
fof(c_0_47,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
c_0_9 ).
fof(c_0_48,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
c_0_10 ).
fof(c_0_49,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
c_0_11 ).
fof(c_0_50,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
c_0_12 ).
fof(c_0_51,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
c_0_13 ).
fof(c_0_52,axiom,
! [X1] :
( aNaturalNumber0(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_14 ).
fof(c_0_53,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_15 ).
fof(c_0_54,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
c_0_16 ).
fof(c_0_55,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
c_0_17 ).
fof(c_0_56,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
c_0_18 ).
fof(c_0_57,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
c_0_19 ).
fof(c_0_58,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
c_0_20 ).
fof(c_0_59,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
c_0_21 ).
fof(c_0_60,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
c_0_22 ).
fof(c_0_61,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
c_0_23 ).
fof(c_0_62,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
c_0_24 ).
fof(c_0_63,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
c_0_25 ).
fof(c_0_64,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_26 ).
fof(c_0_65,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
c_0_27 ).
fof(c_0_66,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
c_0_28 ).
fof(c_0_67,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 = sz00
| X1 = sz10
| ( sz10 != X1
& sdtlseqdt0(sz10,X1) ) ) ),
c_0_29 ).
fof(c_0_68,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
c_0_30 ).
fof(c_0_69,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_31 ).
fof(c_0_70,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_32 ).
fof(c_0_71,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_33 ).
fof(c_0_72,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
c_0_34 ).
fof(c_0_73,axiom,
aNaturalNumber0(sz00),
c_0_35 ).
fof(c_0_74,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_75,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_76,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_38])])]) ).
fof(c_0_77,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_39])])]) ).
fof(c_0_78,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_40])]) ).
fof(c_0_79,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_41])])]) ).
fof(c_0_80,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_42])])])]) ).
fof(c_0_81,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_43])]) ).
fof(c_0_82,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_83,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_84,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_46])])])])]) ).
fof(c_0_85,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_47])])])])]) ).
fof(c_0_86,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_48])]) ).
fof(c_0_87,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_49])]) ).
fof(c_0_88,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_50])])])])]) ).
fof(c_0_89,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,esk1_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_51])])])])]) ).
fof(c_0_90,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_91,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_53])])]) ).
fof(c_0_92,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_54])]) ).
fof(c_0_93,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_55])]) ).
fof(c_0_94,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_56])]) ).
fof(c_0_95,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_57])]) ).
fof(c_0_96,plain,
! [X3,X4] :
( ( X3 != sz00
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( X3 != sz10
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| X4 = sz10
| X4 = X3
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( aNaturalNumber0(esk3_1(X3))
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( doDivides0(esk3_1(X3),X3)
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( esk3_1(X3) != sz10
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( esk3_1(X3) != X3
| X3 = sz10
| X3 = sz00
| isPrime0(X3)
| ~ aNaturalNumber0(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_58])])])])]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
fof(c_0_98,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_99,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_61])])]) ).
fof(c_0_100,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_101,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
fof(c_0_102,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_64])]) ).
fof(c_0_103,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_65])])]) ).
fof(c_0_104,plain,
! [X3] :
( ( aNaturalNumber0(esk4_1(X3))
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( doDivides0(esk4_1(X3),X3)
| ~ aNaturalNumber0(X3)
| X3 = sz00
| X3 = sz10 )
& ( isPrime0(esk4_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_66])])])]) ).
fof(c_0_105,plain,
! [X2] :
( ( sz10 != X2
| X2 = sz10
| X2 = sz00
| ~ aNaturalNumber0(X2) )
& ( sdtlseqdt0(sz10,X2)
| X2 = sz10
| X2 = sz00
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_106,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
fof(c_0_107,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aNaturalNumber0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
fof(c_0_108,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aNaturalNumber0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
fof(c_0_109,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aNaturalNumber0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_110,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
c_0_72 ).
fof(c_0_111,axiom,
aNaturalNumber0(sz00),
c_0_73 ).
fof(c_0_112,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_113,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_75]) ).
cnf(c_0_114,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_76]) ).
cnf(c_0_115,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_76]) ).
cnf(c_0_116,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_77]) ).
cnf(c_0_117,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_78]) ).
cnf(c_0_118,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_79]) ).
cnf(c_0_119,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_79]) ).
cnf(c_0_120,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_80]) ).
cnf(c_0_121,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_80]) ).
cnf(c_0_122,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_81]) ).
cnf(c_0_123,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_125,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_79]) ).
cnf(c_0_126,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_79]) ).
cnf(c_0_127,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_80]) ).
cnf(c_0_128,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_80]) ).
cnf(c_0_129,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_84]) ).
cnf(c_0_130,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_85]) ).
cnf(c_0_131,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_132,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_133,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_134,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_135,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_84]) ).
cnf(c_0_136,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_137,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_138,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_139,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_140,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_141,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_142,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_143,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_144,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_145,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_146,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_147,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_148,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_149,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_150,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_151,plain,
( X2 = X1
| X2 = sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_152,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_153,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_154,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_155,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_156,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_157,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_158,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_159,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_160,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_161,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_162,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_163,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_164,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| esk3_1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_165,plain,
( X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_166,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| esk3_1(X1) != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_167,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_168,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_169,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_170,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_171,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_172,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_173,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_174,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_175,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_176,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_177,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_178,plain,
( X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sz10 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_179,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_180,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_181,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_182,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_183,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_184,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_114,
[final] ).
cnf(c_0_185,plain,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_115,
[final] ).
cnf(c_0_186,plain,
( sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
c_0_116,
[final] ).
cnf(c_0_187,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X1,sdtpldt0(X3,X2))
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_117,
[final] ).
cnf(c_0_188,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_118,
[final] ).
cnf(c_0_189,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
c_0_119,
[final] ).
cnf(c_0_190,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X3,X2),sdtpldt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_120,
[final] ).
cnf(c_0_191,plain,
( X2 = X1
| sdtlseqdt0(sdtpldt0(X2,X3),sdtpldt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
c_0_121,
[final] ).
cnf(c_0_192,plain,
( doDivides0(X1,sdtpldt0(X2,X3))
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_122,
[final] ).
cnf(c_0_193,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_123,
[final] ).
cnf(c_0_194,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_124,
[final] ).
cnf(c_0_195,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X3,X2) != sdtasdt0(X3,X1) ),
c_0_125,
[final] ).
cnf(c_0_196,plain,
( X2 = X1
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| sdtasdt0(X2,X3) != sdtasdt0(X1,X3) ),
c_0_126,
[final] ).
cnf(c_0_197,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_127,
[final] ).
cnf(c_0_198,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_128,
[final] ).
cnf(c_0_199,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_129,
[final] ).
cnf(c_0_200,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_130,
[final] ).
cnf(c_0_201,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_131,
[final] ).
cnf(c_0_202,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
c_0_132,
[final] ).
cnf(c_0_203,plain,
( sdtasdt0(X2,esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_133,
[final] ).
cnf(c_0_204,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_134,
[final] ).
cnf(c_0_205,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_135,
[final] ).
cnf(c_0_206,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_136,
[final] ).
cnf(c_0_207,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
c_0_137,
[final] ).
cnf(c_0_208,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
c_0_138,
[final] ).
cnf(c_0_209,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
c_0_139,
[final] ).
cnf(c_0_210,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
c_0_140,
[final] ).
cnf(c_0_211,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
c_0_141,
[final] ).
cnf(c_0_212,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
c_0_142,
[final] ).
cnf(c_0_213,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
c_0_143,
[final] ).
cnf(c_0_214,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
c_0_144,
[final] ).
cnf(c_0_215,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_145,
[final] ).
cnf(c_0_216,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
c_0_146,
[final] ).
cnf(c_0_217,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
c_0_147,
[final] ).
cnf(c_0_218,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_148,
[final] ).
cnf(c_0_219,plain,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_149,
[final] ).
cnf(c_0_220,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_150,
[final] ).
cnf(c_0_221,plain,
( X2 = X1
| X2 = sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
c_0_151,
[final] ).
cnf(c_0_222,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_152,
[final] ).
cnf(c_0_223,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_153,
[final] ).
cnf(c_0_224,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_154,
[final] ).
cnf(c_0_225,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_155,
[final] ).
cnf(c_0_226,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
c_0_156,
[final] ).
cnf(c_0_227,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
c_0_157,
[final] ).
cnf(c_0_228,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_158,
[final] ).
cnf(c_0_229,plain,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
c_0_159,
[final] ).
cnf(c_0_230,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
c_0_160,
[final] ).
cnf(c_0_231,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
c_0_161,
[final] ).
cnf(c_0_232,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
c_0_162,
[final] ).
cnf(c_0_233,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_163,
[final] ).
cnf(c_0_234,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| esk3_1(X1) != X1 ),
c_0_164,
[final] ).
cnf(c_0_235,plain,
( X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
c_0_165,
[final] ).
cnf(c_0_236,plain,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| esk3_1(X1) != sz10 ),
c_0_166,
[final] ).
cnf(c_0_237,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
c_0_167,
[final] ).
cnf(c_0_238,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_168,
[final] ).
cnf(c_0_239,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
c_0_169,
[final] ).
cnf(c_0_240,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
c_0_170,
[final] ).
cnf(c_0_241,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
c_0_171,
[final] ).
cnf(c_0_242,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
c_0_172,
[final] ).
cnf(c_0_243,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
c_0_173,
[final] ).
cnf(c_0_244,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
c_0_174,
[final] ).
cnf(c_0_245,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
c_0_175,
[final] ).
cnf(c_0_246,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
c_0_176,
[final] ).
cnf(c_0_247,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
c_0_177,
[final] ).
cnf(c_0_248,plain,
( X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sz10 != X1 ),
c_0_178,
[final] ).
cnf(c_0_249,plain,
aNaturalNumber0(sz10),
c_0_179,
[final] ).
cnf(c_0_250,plain,
aNaturalNumber0(sz00),
c_0_180,
[final] ).
cnf(c_0_251,plain,
sz10 != sz00,
c_0_181,
[final] ).
cnf(c_0_252,plain,
$true,
c_0_182,
[final] ).
cnf(c_0_253,plain,
$true,
c_0_183,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_184_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_184]) ).
cnf(c_0_184_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_184]) ).
cnf(c_0_184_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_184]) ).
cnf(c_0_184_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_184]) ).
cnf(c_0_185_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_185]) ).
cnf(c_0_185_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_185]) ).
cnf(c_0_185_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_185]) ).
cnf(c_0_185_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_185]) ).
cnf(c_0_186_0,axiom,
( sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| X3 = sz00
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( X3 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_3,axiom,
( ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3))
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_5,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X3 = sz00
| sdtsldt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtsldt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_187_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_187]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_188_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_188]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_189_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_189]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_190_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_190]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_191_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_191]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_192_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_192]) ).
cnf(c_0_193_0,axiom,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( ~ aNaturalNumber0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_3,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_1,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_3,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_195_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_195]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_196_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_196]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_197_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_197]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_198_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_198]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_199_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_199]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_200_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_200]) ).
cnf(c_0_201_0,axiom,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_1,axiom,
( ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_2,axiom,
( ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X3,X2)
| doDivides0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_1,axiom,
( ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_2,axiom,
( ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_5,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
( sdtasdt0(X2,sk1_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk1_esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk1_esk2_2(X2,X1)) = X1
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sk1_esk2_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
( sdtpldt0(X2,sk1_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk1_esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk1_esk1_2(X2,X1)) = X1
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,sk1_esk1_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_205_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_205]) ).
cnf(c_0_206_0,axiom,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_1,axiom,
( X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_5,axiom,
( sdtasdt0(X1,X3) != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_1,axiom,
( X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_2,axiom,
( ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_4,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_5,axiom,
( sdtasdt0(X3,X1) != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X3 = X2
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_4,axiom,
( sdtpldt0(X3,X2) != sdtpldt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_3,axiom,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_4,axiom,
( sdtpldt0(X2,X3) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
( aNaturalNumber0(sk1_esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk2_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk2_2(X2,X1))
| ~ doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_3,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk2_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
( aNaturalNumber0(sk1_esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk1_2(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk1_2(X2,X1))
| ~ sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk1_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_1,axiom,
( aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_2,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_4,axiom,
( ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_5,axiom,
( X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_1,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_3,axiom,
( ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3)
| X3 != sdtmndt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_4,axiom,
( X3 != sdtmndt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_1,axiom,
( ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_216_0,axiom,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_1,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_3,axiom,
( X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_4,axiom,
( ~ aNaturalNumber0(X3)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| doDivides0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_217_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_3,axiom,
( sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_4,axiom,
( ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_218_0,axiom,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_1,axiom,
( X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_2,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
( iLess0(X1,X2)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_1,axiom,
( X1 = X2
| iLess0(X1,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_2,axiom,
( ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| iLess0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_220_0,axiom,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_1,axiom,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_2,axiom,
( ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_4,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| X2 = sz00
| sdtlseqdt0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_221_0,axiom,
( X2 = X1
| X2 = sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_1,axiom,
( X2 = sz10
| X2 = X1
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_2,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz10
| X2 = X1
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_3,axiom,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| X2 = sz10
| X2 = X1
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_4,axiom,
( ~ doDivides0(X2,X1)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| X2 = sz10
| X2 = X1
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_5,axiom,
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| X2 = sz10
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_1,axiom,
( ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_2,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_1,axiom,
( ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_2,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_224_0,axiom,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_1,axiom,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_2,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_3,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_1,axiom,
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_2,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_226_0,axiom,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_1,axiom,
( ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_2,axiom,
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aNaturalNumber0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_4,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( ~ aNaturalNumber0(X1)
| X2 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
( X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz00
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtpldt0(X2,X1) != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_3,axiom,
( sdtpldt0(X2,X1) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| doDivides0(sk1_esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( X1 = sz00
| isPrime0(X1)
| X1 = sz10
| doDivides0(sk1_esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_2,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| doDivides0(sk1_esk3_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_3,axiom,
( doDivides0(sk1_esk3_1(X1),X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_4,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(sk1_esk3_1(X1),X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_2,axiom,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_3,axiom,
( X1 != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
( X1 = sz10
| X1 = sz00
| doDivides0(sk1_esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( X1 = sz00
| X1 = sz10
| doDivides0(sk1_esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_2,axiom,
( doDivides0(sk1_esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_3,axiom,
( ~ aNaturalNumber0(X1)
| doDivides0(sk1_esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| aNaturalNumber0(sk1_esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( X1 = sz00
| isPrime0(X1)
| X1 = sz10
| aNaturalNumber0(sk1_esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_2,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| aNaturalNumber0(sk1_esk3_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_3,axiom,
( aNaturalNumber0(sk1_esk3_1(X1))
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_4,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk3_1(X1))
| X1 = sz10
| X1 = sz00
| isPrime0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( X1 = sz00
| isPrime0(X1)
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_2,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_3,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| sk1_esk3_1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_4,axiom,
( sk1_esk3_1(X1) != X1
| ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_235_0,axiom,
( X1 = sz00
| X1 = sz10
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( X1 = sz10
| X1 = sz00
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_2,axiom,
( sdtlseqdt0(sz10,X1)
| X1 = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_3,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(sz10,X1)
| X1 = sz10
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_236_0,axiom,
( isPrime0(X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_1,axiom,
( X1 = sz00
| isPrime0(X1)
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_2,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(X1)
| ~ aNaturalNumber0(X1)
| sk1_esk3_1(X1) != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_3,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1)
| sk1_esk3_1(X1) != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_4,axiom,
( sk1_esk3_1(X1) != sz10
| ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00
| isPrime0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_237_0,axiom,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(sk1_esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(sk1_esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_2,axiom,
( aNaturalNumber0(sk1_esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_3,axiom,
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sk1_esk4_1(X1))
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
( X1 = sz10
| X1 = sz00
| isPrime0(sk1_esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_1,axiom,
( X1 = sz00
| X1 = sz10
| isPrime0(sk1_esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_2,axiom,
( isPrime0(sk1_esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_3,axiom,
( ~ aNaturalNumber0(X1)
| isPrime0(sk1_esk4_1(X1))
| X1 = sz00
| X1 = sz10 ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( sdtasdt0(sz10,X1) = X1
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( sdtpldt0(sz00,X1) = X1
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( sdtasdt0(sz00,X1) = sz00
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( ~ aNaturalNumber0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_246_0,axiom,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_1,axiom,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| X1 != sz00 ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_2,axiom,
( X1 != sz00
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_1,axiom,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| X1 != sz10 ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_2,axiom,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_248_0,axiom,
( X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sz10 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( X1 = sz10
| X1 = sz00
| ~ aNaturalNumber0(X1)
| sz10 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_2,axiom,
( ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00
| sz10 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_3,axiom,
( sz10 != X1
| ~ aNaturalNumber0(X1)
| X1 = sz10
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_251_0,axiom,
sz10 != sz00,
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_249_0,axiom,
aNaturalNumber0(sz10),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_250_0,axiom,
aNaturalNumber0(sz00),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_252_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_253_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_253]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,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_002,conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
file('<stdin>',m__) ).
fof(c_0_2_003,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_3_004,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('<stdin>',m__1913) ).
fof(c_0_4_005,hypothesis,
( xr != xn
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xn )
& sdtlseqdt0(xr,xn) ),
file('<stdin>',m__1894) ).
fof(c_0_5_006,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('<stdin>',m__1883) ).
fof(c_0_6_007,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
& sdtlseqdt0(xp,xn) ),
file('<stdin>',m__1870) ).
fof(c_0_7_008,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('<stdin>',m__1837) ).
fof(c_0_8_009,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_9_010,negated_conjecture,
~ ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(assume_negation,[status(cth)],[c_0_1]) ).
fof(c_0_10_011,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_2 ).
fof(c_0_11_012,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
c_0_3 ).
fof(c_0_12_013,hypothesis,
( xr != xn
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xn )
& sdtlseqdt0(xr,xn) ),
c_0_4 ).
fof(c_0_13_014,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
c_0_5 ).
fof(c_0_14_015,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
& sdtlseqdt0(xp,xn) ),
c_0_6 ).
fof(c_0_15_016,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
c_0_7 ).
fof(c_0_16_017,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_8])])])])]) ).
fof(c_0_17_018,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X2) != sdtpldt0(sdtpldt0(xn,xm),xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_18_019,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_10])])])])]) ).
fof(c_0_19_020,hypothesis,
( aNaturalNumber0(esk8_0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,esk8_0)
& doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_20_021,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_12])]) ).
fof(c_0_21_022,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
c_0_13 ).
fof(c_0_22_023,hypothesis,
( aNaturalNumber0(esk6_0)
& sdtpldt0(xp,esk6_0) = xn
& sdtlseqdt0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_23_024,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
c_0_15 ).
cnf(c_0_24_025,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_16]) ).
cnf(c_0_25_026,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_16]) ).
cnf(c_0_26_027,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_16]) ).
cnf(c_0_27_028,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_16]) ).
cnf(c_0_28_029,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_16]) ).
cnf(c_0_29_030,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_16]) ).
cnf(c_0_30_031,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_16]) ).
cnf(c_0_31_032,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_16]) ).
cnf(c_0_32_033,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_16]) ).
cnf(c_0_33_034,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_16]) ).
cnf(c_0_34_035,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_16]) ).
cnf(c_0_35_036,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_16]) ).
cnf(c_0_36_037,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_16]) ).
cnf(c_0_37_038,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_16]) ).
cnf(c_0_38_039,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_16]) ).
cnf(c_0_39_040,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_16]) ).
cnf(c_0_40_041,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_16]) ).
cnf(c_0_41_042,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_16]) ).
cnf(c_0_42_043,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_16]) ).
cnf(c_0_43_044,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_16]) ).
cnf(c_0_44_045,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_16]) ).
cnf(c_0_45_046,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_16]) ).
cnf(c_0_46_047,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_16]) ).
cnf(c_0_47_048,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_16]) ).
cnf(c_0_48_049,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_16]) ).
cnf(c_0_49_050,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_16]) ).
cnf(c_0_50_051,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_16]) ).
cnf(c_0_51_052,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_16]) ).
cnf(c_0_52_053,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_16]) ).
cnf(c_0_53_054,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_16]) ).
cnf(c_0_54_055,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_16]) ).
cnf(c_0_55_056,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_16]) ).
cnf(c_0_56_057,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_16]) ).
cnf(c_0_57_058,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_16]) ).
cnf(c_0_58_059,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_16]) ).
cnf(c_0_59_060,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_16]) ).
cnf(c_0_60_061,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_16]) ).
cnf(c_0_61_062,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_16]) ).
cnf(c_0_62_063,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_16]) ).
cnf(c_0_63_064,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_16]) ).
cnf(c_0_64_065,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_16]) ).
cnf(c_0_65_066,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_16]) ).
cnf(c_0_66_067,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_16]) ).
cnf(c_0_67_068,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_16]) ).
cnf(c_0_68_069,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_16]) ).
cnf(c_0_69_070,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_16]) ).
cnf(c_0_70_071,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_16]) ).
cnf(c_0_71_072,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_16]) ).
cnf(c_0_72_073,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_16]) ).
cnf(c_0_73_074,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_16]) ).
cnf(c_0_74_075,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_16]) ).
cnf(c_0_75_076,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_16]) ).
cnf(c_0_76_077,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_16]) ).
cnf(c_0_77_078,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_16]) ).
cnf(c_0_78_079,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_16]) ).
cnf(c_0_79_080,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_16]) ).
cnf(c_0_80_081,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_16]) ).
cnf(c_0_81_082,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_16]) ).
cnf(c_0_82_083,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_16]) ).
cnf(c_0_83_084,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_16]) ).
cnf(c_0_84_085,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_16]) ).
cnf(c_0_85_086,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_16]) ).
cnf(c_0_86_087,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_16]) ).
cnf(c_0_87_088,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_16]) ).
cnf(c_0_88_089,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_16]) ).
cnf(c_0_89_090,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_16]) ).
cnf(c_0_90_091,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_16]) ).
cnf(c_0_91_092,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_16]) ).
cnf(c_0_92_093,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_16]) ).
cnf(c_0_93_094,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_16]) ).
cnf(c_0_94_095,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_16]) ).
cnf(c_0_95_096,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_16]) ).
cnf(c_0_96_097,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_16]) ).
cnf(c_0_97_098,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_16]) ).
cnf(c_0_98_099,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_16]) ).
cnf(c_0_99_100,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_16]) ).
cnf(c_0_100_101,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_16]) ).
cnf(c_0_101_102,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_16]) ).
cnf(c_0_102_103,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_16]) ).
cnf(c_0_103_104,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_16]) ).
cnf(c_0_104_105,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_16]) ).
cnf(c_0_105_106,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_16]) ).
cnf(c_0_106_107,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_16]) ).
cnf(c_0_107_108,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_16]) ).
cnf(c_0_108_109,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_16]) ).
cnf(c_0_109_110,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_16]) ).
cnf(c_0_110_111,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_16]) ).
cnf(c_0_111_112,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_16]) ).
cnf(c_0_112_113,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_16]) ).
cnf(c_0_113_114,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_16]) ).
cnf(c_0_114_115,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_16]) ).
cnf(c_0_115_116,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_16]) ).
cnf(c_0_116_117,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_16]) ).
cnf(c_0_117_118,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_16]) ).
cnf(c_0_118_119,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_16]) ).
cnf(c_0_119_120,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_16]) ).
cnf(c_0_120_121,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_16]) ).
cnf(c_0_121_122,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_16]) ).
cnf(c_0_122_123,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_16]) ).
cnf(c_0_123_124,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_16]) ).
cnf(c_0_124_125,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_16]) ).
cnf(c_0_125_126,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_16]) ).
cnf(c_0_126_127,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_16]) ).
cnf(c_0_127_128,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_16]) ).
cnf(c_0_128_129,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_16]) ).
cnf(c_0_129_130,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_16]) ).
cnf(c_0_130_131,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_16]) ).
cnf(c_0_131_132,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_16]) ).
cnf(c_0_132_133,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_16]) ).
cnf(c_0_133_134,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_16]) ).
cnf(c_0_134_135,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_16]) ).
cnf(c_0_135_136,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_16]) ).
cnf(c_0_136_137,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_16]) ).
cnf(c_0_137_138,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_16]) ).
cnf(c_0_138_139,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_16]) ).
cnf(c_0_139_140,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_16]) ).
cnf(c_0_140_141,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_16]) ).
cnf(c_0_141_142,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_16]) ).
cnf(c_0_142_143,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_16]) ).
cnf(c_0_143_144,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_16]) ).
cnf(c_0_144_145,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_16]) ).
cnf(c_0_145_146,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_16]) ).
cnf(c_0_146_147,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_16]) ).
cnf(c_0_147_148,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_16]) ).
cnf(c_0_148_149,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_16]) ).
cnf(c_0_149_150,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_16]) ).
cnf(c_0_150_151,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_151_152,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) != sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_152_153,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_153_154,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_154_155,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_155_156,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_156_157,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_157_158,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_158_159,hypothesis,
sdtpldt0(xr,esk7_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_159_160,hypothesis,
sdtlseqdt0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_160_161,hypothesis,
sdtpldt0(xp,xr) = xn,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_161_162,hypothesis,
xr = sdtmndt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_162_163,hypothesis,
sdtpldt0(xp,esk6_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_163_164,hypothesis,
sdtlseqdt0(xp,xn),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_164_165,hypothesis,
aNaturalNumber0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_165_166,hypothesis,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_166_167,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_167_168,hypothesis,
aNaturalNumber0(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_168_169,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_169_170,hypothesis,
aNaturalNumber0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_170_171,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_171_172,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_172_173,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_173_174,hypothesis,
xr != xn,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_174_175,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_175_176,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_176_177,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_24,
[final] ).
cnf(c_0_177_178,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_25,
[final] ).
cnf(c_0_178_179,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_26,
[final] ).
cnf(c_0_179_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
| 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_27,
[final] ).
cnf(c_0_180_181,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_28,
[final] ).
cnf(c_0_181_182,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_29,
[final] ).
cnf(c_0_182_183,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_30,
[final] ).
cnf(c_0_183_184,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_31,
[final] ).
cnf(c_0_184_185,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_32,
[final] ).
cnf(c_0_185_186,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_33,
[final] ).
cnf(c_0_186_187,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_34,
[final] ).
cnf(c_0_187_188,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_35,
[final] ).
cnf(c_0_188_189,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_36,
[final] ).
cnf(c_0_189_190,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_37,
[final] ).
cnf(c_0_190_191,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_38,
[final] ).
cnf(c_0_191_192,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_39,
[final] ).
cnf(c_0_192_193,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_40,
[final] ).
cnf(c_0_193_194,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_41,
[final] ).
cnf(c_0_194_195,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_42,
[final] ).
cnf(c_0_195_196,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_43,
[final] ).
cnf(c_0_196_197,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_44,
[final] ).
cnf(c_0_197_198,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_45,
[final] ).
cnf(c_0_198_199,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_46,
[final] ).
cnf(c_0_199_200,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_47,
[final] ).
cnf(c_0_200_201,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_48,
[final] ).
cnf(c_0_201_202,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_49,
[final] ).
cnf(c_0_202_203,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_50,
[final] ).
cnf(c_0_203_204,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_51,
[final] ).
cnf(c_0_204_205,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_52,
[final] ).
cnf(c_0_205_206,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_53,
[final] ).
cnf(c_0_206_207,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_54,
[final] ).
cnf(c_0_207_208,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_55,
[final] ).
cnf(c_0_208_209,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_56,
[final] ).
cnf(c_0_209_210,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_57,
[final] ).
cnf(c_0_210_211,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_58,
[final] ).
cnf(c_0_211_212,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_59,
[final] ).
cnf(c_0_212_213,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_60,
[final] ).
cnf(c_0_213_214,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_61,
[final] ).
cnf(c_0_214_215,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_62,
[final] ).
cnf(c_0_215_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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_63,
[final] ).
cnf(c_0_216_217,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_64,
[final] ).
cnf(c_0_217_218,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_65,
[final] ).
cnf(c_0_218_219,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_66,
[final] ).
cnf(c_0_219_220,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_67,
[final] ).
cnf(c_0_220_221,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_68,
[final] ).
cnf(c_0_221_222,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_69,
[final] ).
cnf(c_0_222_223,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_70,
[final] ).
cnf(c_0_223_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) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_71,
[final] ).
cnf(c_0_224_225,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_72,
[final] ).
cnf(c_0_225_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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_73,
[final] ).
cnf(c_0_226_227,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_74,
[final] ).
cnf(c_0_227_228,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_75,
[final] ).
cnf(c_0_228_229,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_76,
[final] ).
cnf(c_0_229_230,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_77,
[final] ).
cnf(c_0_230_231,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_78,
[final] ).
cnf(c_0_231_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) != 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_232_233,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_80,
[final] ).
cnf(c_0_233_234,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_81,
[final] ).
cnf(c_0_234_235,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_82,
[final] ).
cnf(c_0_235_236,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_83,
[final] ).
cnf(c_0_236_237,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_84,
[final] ).
cnf(c_0_237_238,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_85,
[final] ).
cnf(c_0_238_239,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_86,
[final] ).
cnf(c_0_239_240,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_87,
[final] ).
cnf(c_0_240_241,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_88,
[final] ).
cnf(c_0_241_242,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_89,
[final] ).
cnf(c_0_242_243,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_90,
[final] ).
cnf(c_0_243_244,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_91,
[final] ).
cnf(c_0_244_245,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_92,
[final] ).
cnf(c_0_245_246,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_93,
[final] ).
cnf(c_0_246_247,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_94,
[final] ).
cnf(c_0_247_248,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_95,
[final] ).
cnf(c_0_248_249,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_96,
[final] ).
cnf(c_0_249_250,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_97,
[final] ).
cnf(c_0_250_251,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_98,
[final] ).
cnf(c_0_251_252,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_99,
[final] ).
cnf(c_0_252_253,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_100,
[final] ).
cnf(c_0_253_254,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_101,
[final] ).
cnf(c_0_254,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_102,
[final] ).
cnf(c_0_255,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_103,
[final] ).
cnf(c_0_256,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_104,
[final] ).
cnf(c_0_257,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_105,
[final] ).
cnf(c_0_258,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_106,
[final] ).
cnf(c_0_259,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_107,
[final] ).
cnf(c_0_260,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_108,
[final] ).
cnf(c_0_261,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_109,
[final] ).
cnf(c_0_262,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_110,
[final] ).
cnf(c_0_263,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_111,
[final] ).
cnf(c_0_264,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_112,
[final] ).
cnf(c_0_265,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_113,
[final] ).
cnf(c_0_266,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_114,
[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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_115,
[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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_116,
[final] ).
cnf(c_0_269,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_117,
[final] ).
cnf(c_0_270,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_118,
[final] ).
cnf(c_0_271,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_119,
[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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_120,
[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) != sz10
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_121,
[final] ).
cnf(c_0_274,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_122,
[final] ).
cnf(c_0_275,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_123,
[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) != sz10
| sdtasdt0(X3,X2) != sdtasdt0(X1,X4)
| ~ aNaturalNumber0(X4)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_124,
[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) != sz10
| 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_278,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_126,
[final] ).
cnf(c_0_279,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_127,
[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) != 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_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) != sz10
| 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_282,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_130,
[final] ).
cnf(c_0_283,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_131,
[final] ).
cnf(c_0_284,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_132,
[final] ).
cnf(c_0_285,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_133,
[final] ).
cnf(c_0_286,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_134,
[final] ).
cnf(c_0_287,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_135,
[final] ).
cnf(c_0_288,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_136,
[final] ).
cnf(c_0_289,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_137,
[final] ).
cnf(c_0_290,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_138,
[final] ).
cnf(c_0_291,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_139,
[final] ).
cnf(c_0_292,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_140,
[final] ).
cnf(c_0_293,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_141,
[final] ).
cnf(c_0_294,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_142,
[final] ).
cnf(c_0_295,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_143,
[final] ).
cnf(c_0_296,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_144,
[final] ).
cnf(c_0_297,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_145,
[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
| 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_299,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_147,
[final] ).
cnf(c_0_300,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_148,
[final] ).
cnf(c_0_301,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_149,
[final] ).
cnf(c_0_302,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
c_0_150,
[final] ).
cnf(c_0_303,negated_conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) != sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ aNaturalNumber0(X1) ),
c_0_151,
[final] ).
cnf(c_0_304,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ),
c_0_152,
[final] ).
cnf(c_0_305,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
c_0_153,
[final] ).
cnf(c_0_306,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
c_0_154,
[final] ).
cnf(c_0_307,hypothesis,
( X1 = xp
| X1 = sz10
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
c_0_155,
[final] ).
cnf(c_0_308,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk8_0),
c_0_156,
[final] ).
cnf(c_0_309,hypothesis,
sdtasdt0(xp,esk5_0) = sdtasdt0(xn,xm),
c_0_157,
[final] ).
cnf(c_0_310,hypothesis,
sdtpldt0(xr,esk7_0) = xn,
c_0_158,
[final] ).
cnf(c_0_311,hypothesis,
sdtlseqdt0(xr,xn),
c_0_159,
[final] ).
cnf(c_0_312,hypothesis,
sdtpldt0(xp,xr) = xn,
c_0_160,
[final] ).
cnf(c_0_313,hypothesis,
sdtmndt0(xn,xp) = xr,
c_0_161,
[final] ).
cnf(c_0_314,hypothesis,
sdtpldt0(xp,esk6_0) = xn,
c_0_162,
[final] ).
cnf(c_0_315,hypothesis,
sdtlseqdt0(xp,xn),
c_0_163,
[final] ).
cnf(c_0_316,hypothesis,
aNaturalNumber0(esk8_0),
c_0_164,
[final] ).
cnf(c_0_317,hypothesis,
aNaturalNumber0(esk7_0),
c_0_165,
[final] ).
cnf(c_0_318,hypothesis,
aNaturalNumber0(xr),
c_0_166,
[final] ).
cnf(c_0_319,hypothesis,
aNaturalNumber0(esk6_0),
c_0_167,
[final] ).
cnf(c_0_320,hypothesis,
isPrime0(xp),
c_0_168,
[final] ).
cnf(c_0_321,hypothesis,
aNaturalNumber0(esk5_0),
c_0_169,
[final] ).
cnf(c_0_322,hypothesis,
aNaturalNumber0(xn),
c_0_170,
[final] ).
cnf(c_0_323,hypothesis,
aNaturalNumber0(xm),
c_0_171,
[final] ).
cnf(c_0_324,hypothesis,
aNaturalNumber0(xp),
c_0_172,
[final] ).
cnf(c_0_325,hypothesis,
xr != xn,
c_0_173,
[final] ).
cnf(c_0_326,hypothesis,
sz00 != xp,
c_0_174,
[final] ).
cnf(c_0_327,hypothesis,
sz10 != xp,
c_0_175,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_258,plain,
( X0 = X1
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_191_5) ).
cnf(c_464839,plain,
( X0 = X1
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(copy,[status(esa)],[c_258]) ).
cnf(c_465170,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,xn)
| xr = xn ),
inference(instantiation,[status(thm)],[c_464839]) ).
cnf(c_953286,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(xr,xn)
| xr = xn ),
inference(instantiation,[status(thm)],[c_465170]) ).
cnf(c_498311,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ aNaturalNumber0(sdtpldt0(xr,X0))
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,X0),X1),sdtpldt0(sdtpldt0(xn,X0),X1))
| ~ sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,X0))
| sdtpldt0(xr,X0) = sdtpldt0(xn,X0) ),
inference(instantiation,[status(thm)],[c_464839]) ).
cnf(c_899916,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(instantiation,[status(thm)],[c_498311]) ).
cnf(c_152,plain,
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != sdtpldt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_210_4) ).
cnf(c_464733,plain,
( X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != sdtpldt0(X1,X2) ),
inference(copy,[status(esa)],[c_152]) ).
cnf(c_465062,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xr,X0) != sdtpldt0(xn,X0)
| xr = xn ),
inference(instantiation,[status(thm)],[c_464733]) ).
cnf(c_729421,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtpldt0(xr,xm) != sdtpldt0(xn,xm)
| xr = xn ),
inference(instantiation,[status(thm)],[c_465062]) ).
cnf(c_498315,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ aNaturalNumber0(sdtpldt0(xr,X0))
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(xr,X0),X1) != sdtpldt0(sdtpldt0(xn,X0),X1)
| sdtpldt0(xr,X0) = sdtpldt0(xn,X0) ),
inference(instantiation,[status(thm)],[c_464733]) ).
cnf(c_656517,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(instantiation,[status(thm)],[c_498315]) ).
cnf(c_94,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_223_0) ).
cnf(c_1334,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(copy,[status(esa)],[c_94]) ).
cnf(c_87900,plain,
( aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr) ),
inference(instantiation,[status(thm)],[c_1334]) ).
cnf(c_59450,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_1334]) ).
cnf(c_434,plain,
xr != xn,
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_325) ).
cnf(c_442,plain,
sdtlseqdt0(xr,xn),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_311) ).
cnf(c_449,plain,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_318) ).
cnf(c_453,plain,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_322) ).
cnf(c_454,plain,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_323) ).
cnf(c_455,plain,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_324) ).
cnf(c_430,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5065a0.p',c_0_302) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_953286,c_899916,c_729421,c_656517,c_87900,c_59450,c_434,c_442,c_449,c_453,c_454,c_455,c_430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 08:11:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % 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/sandbox/tmp/iprover_proof_e78252.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5065a0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_70e037 | grep -v "SZS"
% 0.20/0.46
% 0.20/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ iProver source info
% 0.20/0.46
% 0.20/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.46 % git: non_committed_changes: true
% 0.20/0.46 % git: last_make_outside_of_git: true
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.37/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.55 % --bmc1_dump_file -
% 0.37/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.55 % --bmc1_ucm_extend_mode 1
% 0.37/0.55 % --bmc1_ucm_init_mode 2
% 0.37/0.55 % --bmc1_ucm_cone_mode none
% 0.37/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.55 % --bmc1_ucm_relax_model 4
% 0.37/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.55 % --bmc1_ucm_layered_model none
% 0.37/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.55
% 0.37/0.55 % ------ AIG Options
% 0.37/0.55
% 0.37/0.55 % --aig_mode false
% 0.37/0.55
% 0.37/0.55 % ------ Instantiation Options
% 0.37/0.55
% 0.37/0.55 % --instantiation_flag true
% 0.37/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.55 % --inst_solver_per_active 750
% 0.37/0.55 % --inst_solver_calls_frac 0.5
% 0.37/0.55 % --inst_passive_queue_type priority_queues
% 0.37/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.55 % --inst_passive_queues_freq [25;2]
% 0.37/0.55 % --inst_dismatching true
% 0.37/0.55 % --inst_eager_unprocessed_to_passive true
% 0.37/0.55 % --inst_prop_sim_given true
% 0.37/0.55 % --inst_prop_sim_new false
% 0.37/0.55 % --inst_orphan_elimination true
% 0.37/0.55 % --inst_learning_loop_flag true
% 0.37/0.55 % --inst_learning_start 3000
% 0.37/0.55 % --inst_learning_factor 2
% 0.37/0.55 % --inst_start_prop_sim_after_learn 3
% 0.37/0.55 % --inst_sel_renew solver
% 0.37/0.55 % --inst_lit_activity_flag true
% 0.37/0.55 % --inst_out_proof true
% 0.37/0.55
% 0.37/0.55 % ------ Resolution Options
% 0.37/0.55
% 0.37/0.55 % --resolution_flag true
% 0.37/0.55 % --res_lit_sel kbo_max
% 0.37/0.55 % --res_to_prop_solver none
% 0.37/0.55 % --res_prop_simpl_new false
% 0.37/0.55 % --res_prop_simpl_given false
% 0.37/0.55 % --res_passive_queue_type priority_queues
% 0.37/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.37/0.55 % --res_passive_queues_freq [15;5]
% 0.37/0.55 % --res_forward_subs full
% 0.37/0.55 % --res_backward_subs full
% 0.37/0.55 % --res_forward_subs_resolution true
% 0.37/0.55 % --res_backward_subs_resolution true
% 0.37/0.55 % --res_orphan_elimination false
% 0.37/0.55 % --res_time_limit 1000.
% 0.37/0.55 % --res_out_proof true
% 0.37/0.55 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e78252.s
% 0.37/0.55 % --modulo true
% 0.37/0.55
% 0.37/0.55 % ------ Combination Options
% 0.37/0.55
% 0.37/0.55 % --comb_res_mult 1000
% 0.37/0.55 % --comb_inst_mult 300
% 0.37/0.55 % ------
% 0.37/0.55
% 0.37/0.55 % ------ Parsing...% successful
% 0.37/0.55
% 0.37/0.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.37/0.55
% 0.37/0.55 % ------ Proving...
% 0.37/0.55 % ------ Problem Properties
% 0.37/0.55
% 0.37/0.55 %
% 0.37/0.55 % EPR false
% 0.37/0.55 % Horn false
% 0.37/0.55 % Has equality true
% 0.37/0.55
% 0.37/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 % % ------ Current options:
% 0.37/0.55
% 0.37/0.55 % ------ Input Options
% 0.37/0.55
% 0.37/0.55 % --out_options all
% 0.37/0.55 % --tptp_safe_out true
% 0.37/0.55 % --problem_path ""
% 0.37/0.55 % --include_path ""
% 0.37/0.55 % --clausifier .//eprover
% 0.37/0.55 % --clausifier_options --tstp-format
% 0.37/0.55 % --stdin false
% 0.37/0.55 % --dbg_backtrace false
% 0.37/0.55 % --dbg_dump_prop_clauses false
% 0.37/0.55 % --dbg_dump_prop_clauses_file -
% 0.37/0.55 % --dbg_out_stat false
% 0.37/0.55
% 0.37/0.55 % ------ General Options
% 0.37/0.55
% 0.37/0.55 % --fof false
% 0.37/0.55 % --time_out_real 150.
% 0.37/0.55 % --time_out_prep_mult 0.2
% 0.37/0.55 % --time_out_virtual -1.
% 0.37/0.55 % --schedule none
% 0.37/0.55 % --ground_splitting input
% 0.37/0.55 % --splitting_nvd 16
% 0.37/0.55 % --non_eq_to_eq false
% 0.37/0.55 % --prep_gs_sim true
% 0.37/0.55 % --prep_unflatten false
% 0.37/0.55 % --prep_res_sim true
% 0.37/0.55 % --prep_upred true
% 0.37/0.55 % --res_sim_input true
% 0.37/0.55 % --clause_weak_htbl true
% 0.37/0.55 % --gc_record_bc_elim false
% 0.37/0.55 % --symbol_type_check false
% 0.37/0.55 % --clausify_out false
% 0.37/0.55 % --large_theory_mode false
% 0.37/0.55 % --prep_sem_filter none
% 0.37/0.55 % --prep_sem_filter_out false
% 0.37/0.55 % --preprocessed_out false
% 0.37/0.55 % --sub_typing false
% 0.37/0.55 % --brand_transform false
% 0.37/0.55 % --pure_diseq_elim true
% 0.37/0.55 % --min_unsat_core false
% 0.37/0.55 % --pred_elim true
% 0.37/0.55 % --add_important_lit false
% 0.37/0.55 % --soft_assumptions false
% 0.37/0.55 % --reset_solvers false
% 0.37/0.55 % --bc_imp_inh []
% 0.37/0.55 % --conj_cone_tolerance 1.5
% 0.37/0.55 % --prolific_symb_bound 500
% 0.37/0.55 % --lt_threshold 2000
% 0.37/0.55
% 0.37/0.55 % ------ SAT Options
% 0.37/0.55
% 0.37/0.55 % --sat_mode false
% 0.37/0.55 % --sat_fm_restart_options ""
% 0.37/0.55 % --sat_gr_def false
% 0.37/0.55 % --sat_epr_types true
% 0.37/0.55 % --sat_non_cyclic_types false
% 0.37/0.55 % --sat_finite_models false
% 0.37/0.55 % --sat_fm_lemmas false
% 0.37/0.55 % --sat_fm_prep false
% 0.37/0.55 % --sat_fm_uc_incr true
% 0.37/0.55 % --sat_out_model small
% 0.37/0.55 % --sat_out_clauses false
% 0.37/0.55
% 0.37/0.55 % ------ QBF Options
% 0.37/0.55
% 0.37/0.55 % --qbf_mode false
% 0.37/0.55 % --qbf_elim_univ true
% 0.37/0.55 % --qbf_sk_in true
% 0.37/0.55 % --qbf_pred_elim true
% 0.37/0.55 % --qbf_split 32
% 0.37/0.55
% 0.37/0.55 % ------ BMC1 Options
% 0.37/0.55
% 0.37/0.55 % --bmc1_incremental false
% 0.37/0.55 % --bmc1_axioms reachable_all
% 0.37/0.55 % --bmc1_min_bound 0
% 0.37/0.55 % --bmc1_max_bound -1
% 0.37/0.55 % --bmc1_max_bound_default -1
% 0.37/0.55 % --bmc1_symbol_reachability true
% 0.37/0.55 % --bmc1_property_lemmas false
% 0.37/0.55 % --bmc1_k_induction false
% 0.37/0.55 % --bmc1_non_equiv_states false
% 0.37/0.55 % --bmc1_deadlock false
% 0.37/0.55 % --bmc1_ucm false
% 0.37/0.55 % --bmc1_add_unsat_core none
% 0.37/0.55 % --bmc1_unsat_core_children false
% 0.37/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.37/0.55 % --bmc1_out_stat full
% 0.37/0.55 % --bmc1_ground_init false
% 0.37/0.55 % --bmc1_pre_inst_next_state false
% 0.37/0.55 % --bmc1_pre_inst_state false
% 0.37/0.55 % --bmc1_pre_inst_reach_state false
% 0.37/0.55 % --bmc1_out_unsat_core false
% 0.37/0.55 % --bmc1_aig_witness_out false
% 0.37/0.55 % --bmc1_verbose false
% 0.37/0.55 % --bmc1_dump_clauses_tptp false
% 0.37/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.37/0.55 % --bmc1_dump_file -
% 0.37/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.37/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.37/0.55 % --bmc1_ucm_extend_mode 1
% 0.37/0.55 % --bmc1_ucm_init_mode 2
% 0.37/0.55 % --bmc1_ucm_cone_mode none
% 0.37/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.37/0.55 % --bmc1_ucm_relax_model 4
% 0.37/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.37/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.37/0.55 % --bmc1_ucm_layered_model none
% 0.37/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.37/0.55
% 0.37/0.55 % ------ AIG Options
% 0.37/0.55
% 0.37/0.55 % --aig_mode false
% 0.37/0.55
% 0.37/0.55 % ------ Instantiation Options
% 0.37/0.55
% 0.37/0.55 % --instantiation_flag true
% 0.37/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.55 % --inst_solver_per_active 750
% 0.37/0.55 % --inst_solver_calls_frac 0.5
% 0.37/0.55 % --inst_passive_queue_type priority_queues
% 0.37/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.55 % --inst_passive_queues_freq [25;2]
% 0.37/0.55 % --inst_dismatching true
% 0.37/0.55 % --inst_eager_unprocessed_to_passive true
% 0.37/0.55 % --inst_prop_sim_given true
% 150.27/150.46 % --inst_prop_sim_new false
% 150.27/150.46 % --inst_orphan_elimination true
% 150.27/150.46 % --inst_learning_loop_flag true
% 150.27/150.46 % --inst_learning_start 3000
% 150.27/150.46 % --inst_learning_factor 2
% 150.27/150.46 % --inst_start_prop_sim_after_learn 3
% 150.27/150.46 % --inst_sel_renew solver
% 150.27/150.46 % --inst_lit_activity_flag true
% 150.27/150.46 % --inst_out_proof true
% 150.27/150.46
% 150.27/150.46 % ------ Resolution Options
% 150.27/150.46
% 150.27/150.46 % --resolution_flag true
% 150.27/150.46 % --res_lit_sel kbo_max
% 150.27/150.46 % --res_to_prop_solver none
% 150.27/150.46 % --res_prop_simpl_new false
% 150.27/150.46 % --res_prop_simpl_given false
% 150.27/150.46 % --res_passive_queue_type priority_queues
% 150.27/150.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.27/150.46 % --res_passive_queues_freq [15;5]
% 150.27/150.46 % --res_forward_subs full
% 150.27/150.46 % --res_backward_subs full
% 150.27/150.46 % --res_forward_subs_resolution true
% 150.27/150.46 % --res_backward_subs_resolution true
% 150.27/150.46 % --res_orphan_elimination false
% 150.27/150.46 % --res_time_limit 1000.
% 150.27/150.46 % --res_out_proof true
% 150.27/150.46 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e78252.s
% 150.27/150.46 % --modulo true
% 150.27/150.46
% 150.27/150.46 % ------ Combination Options
% 150.27/150.46
% 150.27/150.46 % --comb_res_mult 1000
% 150.27/150.46 % --comb_inst_mult 300
% 150.27/150.46 % ------
% 150.27/150.46
% 150.27/150.46
% 150.27/150.46
% 150.27/150.46 % ------ Proving...
% 150.27/150.46 %
% 150.27/150.46
% 150.27/150.46
% 150.27/150.46 % Time Out Real
% 150.27/150.46
% 150.27/150.46 % ------ Statistics
% 150.27/150.46
% 150.27/150.46 % ------ General
% 150.27/150.46
% 150.27/150.46 % num_of_input_clauses: 394
% 150.27/150.46 % num_of_input_neg_conjectures: 2
% 150.27/150.46 % num_of_splits: 0
% 150.27/150.46 % num_of_split_atoms: 0
% 150.27/150.46 % num_of_sem_filtered_clauses: 0
% 150.27/150.46 % num_of_subtypes: 0
% 150.27/150.46 % monotx_restored_types: 0
% 150.27/150.46 % sat_num_of_epr_types: 0
% 150.27/150.46 % sat_num_of_non_cyclic_types: 0
% 150.27/150.46 % sat_guarded_non_collapsed_types: 0
% 150.27/150.46 % is_epr: 0
% 150.27/150.46 % is_horn: 0
% 150.27/150.46 % has_eq: 1
% 150.27/150.46 % num_pure_diseq_elim: 0
% 150.27/150.46 % simp_replaced_by: 0
% 150.27/150.46 % res_preprocessed: 154
% 150.27/150.46 % prep_upred: 0
% 150.27/150.46 % prep_unflattend: 2
% 150.27/150.46 % pred_elim_cands: 3
% 150.27/150.46 % pred_elim: 3
% 150.27/150.46 % pred_elim_cl: 130
% 150.27/150.46 % pred_elim_cycles: 4
% 150.27/150.46 % forced_gc_time: 0
% 150.27/150.46 % gc_basic_clause_elim: 0
% 150.27/150.46 % parsing_time: 0.032
% 150.27/150.46 % sem_filter_time: 0.
% 150.27/150.46 % pred_elim_time: 0.007
% 150.27/150.46 % out_proof_time: 0.
% 150.27/150.46 % monotx_time: 0.
% 150.27/150.46 % subtype_inf_time: 0.
% 150.27/150.46 % unif_index_cands_time: 0.21
% 150.27/150.46 % unif_index_add_time: 0.03
% 150.27/150.46 % total_time: 150.017
% 150.27/150.46 % num_of_symbols: 52
% 150.27/150.46 % num_of_terms: 153153
% 150.27/150.46
% 150.27/150.46 % ------ Propositional Solver
% 150.27/150.46
% 150.27/150.46 % prop_solver_calls: 10
% 150.27/150.46 % prop_fast_solver_calls: 2651
% 150.27/150.46 % prop_num_of_clauses: 11126
% 150.27/150.46 % prop_preprocess_simplified: 12335
% 150.27/150.46 % prop_fo_subsumed: 0
% 150.27/150.46 % prop_solver_time: 0.001
% 150.27/150.46 % prop_fast_solver_time: 0.006
% 150.27/150.46 % prop_unsat_core_time: 0.
% 150.27/150.46
% 150.27/150.46 % ------ QBF
% 150.27/150.46
% 150.27/150.46 % qbf_q_res: 0
% 150.27/150.46 % qbf_num_tautologies: 0
% 150.27/150.46 % qbf_prep_cycles: 0
% 150.27/150.46
% 150.27/150.46 % ------ BMC1
% 150.27/150.46
% 150.27/150.46 % bmc1_current_bound: -1
% 150.27/150.46 % bmc1_last_solved_bound: -1
% 150.27/150.46 % bmc1_unsat_core_size: -1
% 150.27/150.46 % bmc1_unsat_core_parents_size: -1
% 150.27/150.46 % bmc1_merge_next_fun: 0
% 150.27/150.46 % bmc1_unsat_core_clauses_time: 0.
% 150.27/150.46
% 150.27/150.46 % ------ Instantiation
% 150.27/150.46
% 150.27/150.46 % inst_num_of_clauses: 6488
% 150.27/150.46 % inst_num_in_passive: 2749
% 150.27/150.46 % inst_num_in_active: 1924
% 150.27/150.46 % inst_num_in_unprocessed: 1803
% 150.27/150.46 % inst_num_of_loops: 2400
% 150.27/150.46 % inst_num_of_learning_restarts: 0
% 150.27/150.46 % inst_num_moves_active_passive: 462
% 150.27/150.46 % inst_lit_activity: 1961
% 150.27/150.46 % inst_lit_activity_moves: 0
% 150.27/150.46 % inst_num_tautologies: 12
% 150.27/150.46 % inst_num_prop_implied: 0
% 150.27/150.46 % inst_num_existing_simplified: 0
% 150.27/150.46 % inst_num_eq_res_simplified: 0
% 150.27/150.46 % inst_num_child_elim: 0
% 150.27/150.46 % inst_num_of_dismatching_blockings: 10556
% 150.27/150.46 % inst_num_of_non_proper_insts: 10974
% 150.27/150.46 % inst_num_of_duplicates: 11246
% 150.27/150.46 % inst_inst_num_from_inst_to_res: 0
% 150.27/150.46 % inst_dismatching_checking_time: 0.06
% 150.27/150.46
% 150.27/150.46 % ------ Resolution
% 150.27/150.46
% 150.27/150.46 % res_num_of_clauses: 441106
% 150.27/150.46 % res_num_in_passive: 434651
% 150.27/150.46 % res_num_in_active: 6245
% 150.27/150.46 % res_num_of_loops: 8560
% 150.27/150.46 % res_forward_subset_subsumed: 37137
% 150.27/150.46 % res_backward_subset_subsumed: 19
% 150.27/150.46 % res_forward_subsumed: 2270
% 150.27/150.46 % res_backward_subsumed: 54
% 150.27/150.46 % res_forward_subsumption_resolution: 8284
% 150.27/150.46 % res_backward_subsumption_resolution: 0
% 150.27/150.46 % res_clause_to_clause_subsumption: 2950292
% 150.27/150.46 % res_orphan_elimination: 0
% 150.27/150.46 % res_tautology_del: 2446
% 150.27/150.46 % res_num_eq_res_simplified: 40
% 150.27/150.46 % res_num_sel_changes: 0
% 150.27/150.46 % res_moves_from_active_to_pass: 0
% 150.27/150.46
% 150.27/150.46 % Status Unknown
% 150.27/150.53 % Orienting using strategy ClausalAll
% 150.27/150.53 % FOF problem with conjecture
% 150.27/150.53 % 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/sandbox/tmp/iprover_proof_e78252.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5065a0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7670b1 | grep -v "SZS"
% 150.39/150.55
% 150.39/150.55 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.39/150.55
% 150.39/150.55 %
% 150.39/150.55 % ------ iProver source info
% 150.39/150.55
% 150.39/150.55 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.39/150.55 % git: non_committed_changes: true
% 150.39/150.55 % git: last_make_outside_of_git: true
% 150.39/150.55
% 150.39/150.55 %
% 150.39/150.55 % ------ Input Options
% 150.39/150.55
% 150.39/150.55 % --out_options all
% 150.39/150.55 % --tptp_safe_out true
% 150.39/150.55 % --problem_path ""
% 150.39/150.55 % --include_path ""
% 150.39/150.55 % --clausifier .//eprover
% 150.39/150.55 % --clausifier_options --tstp-format
% 150.39/150.55 % --stdin false
% 150.39/150.55 % --dbg_backtrace false
% 150.39/150.55 % --dbg_dump_prop_clauses false
% 150.39/150.55 % --dbg_dump_prop_clauses_file -
% 150.39/150.55 % --dbg_out_stat false
% 150.39/150.55
% 150.39/150.55 % ------ General Options
% 150.39/150.55
% 150.39/150.55 % --fof false
% 150.39/150.55 % --time_out_real 150.
% 150.39/150.55 % --time_out_prep_mult 0.2
% 150.39/150.55 % --time_out_virtual -1.
% 150.39/150.55 % --schedule none
% 150.39/150.55 % --ground_splitting input
% 150.39/150.55 % --splitting_nvd 16
% 150.39/150.55 % --non_eq_to_eq false
% 150.39/150.55 % --prep_gs_sim true
% 150.39/150.55 % --prep_unflatten false
% 150.39/150.55 % --prep_res_sim true
% 150.39/150.55 % --prep_upred true
% 150.39/150.55 % --res_sim_input true
% 150.39/150.55 % --clause_weak_htbl true
% 150.39/150.55 % --gc_record_bc_elim false
% 150.39/150.55 % --symbol_type_check false
% 150.39/150.55 % --clausify_out false
% 150.39/150.55 % --large_theory_mode false
% 150.39/150.55 % --prep_sem_filter none
% 150.39/150.55 % --prep_sem_filter_out false
% 150.39/150.55 % --preprocessed_out false
% 150.39/150.55 % --sub_typing false
% 150.39/150.55 % --brand_transform false
% 150.39/150.55 % --pure_diseq_elim true
% 150.39/150.55 % --min_unsat_core false
% 150.39/150.55 % --pred_elim true
% 150.39/150.55 % --add_important_lit false
% 150.39/150.55 % --soft_assumptions false
% 150.39/150.55 % --reset_solvers false
% 150.39/150.55 % --bc_imp_inh []
% 150.39/150.55 % --conj_cone_tolerance 1.5
% 150.39/150.55 % --prolific_symb_bound 500
% 150.39/150.55 % --lt_threshold 2000
% 150.39/150.55
% 150.39/150.55 % ------ SAT Options
% 150.39/150.55
% 150.39/150.55 % --sat_mode false
% 150.39/150.55 % --sat_fm_restart_options ""
% 150.39/150.55 % --sat_gr_def false
% 150.39/150.55 % --sat_epr_types true
% 150.39/150.55 % --sat_non_cyclic_types false
% 150.39/150.55 % --sat_finite_models false
% 150.39/150.55 % --sat_fm_lemmas false
% 150.39/150.55 % --sat_fm_prep false
% 150.39/150.55 % --sat_fm_uc_incr true
% 150.39/150.55 % --sat_out_model small
% 150.39/150.55 % --sat_out_clauses false
% 150.39/150.55
% 150.39/150.55 % ------ QBF Options
% 150.39/150.55
% 150.39/150.55 % --qbf_mode false
% 150.39/150.55 % --qbf_elim_univ true
% 150.39/150.55 % --qbf_sk_in true
% 150.39/150.55 % --qbf_pred_elim true
% 150.39/150.55 % --qbf_split 32
% 150.39/150.55
% 150.39/150.55 % ------ BMC1 Options
% 150.39/150.55
% 150.39/150.55 % --bmc1_incremental false
% 150.39/150.55 % --bmc1_axioms reachable_all
% 150.39/150.55 % --bmc1_min_bound 0
% 150.39/150.55 % --bmc1_max_bound -1
% 150.39/150.55 % --bmc1_max_bound_default -1
% 150.39/150.55 % --bmc1_symbol_reachability true
% 150.39/150.55 % --bmc1_property_lemmas false
% 150.39/150.55 % --bmc1_k_induction false
% 150.39/150.55 % --bmc1_non_equiv_states false
% 150.39/150.55 % --bmc1_deadlock false
% 150.39/150.55 % --bmc1_ucm false
% 150.39/150.55 % --bmc1_add_unsat_core none
% 150.39/150.55 % --bmc1_unsat_core_children false
% 150.39/150.55 % --bmc1_unsat_core_extrapolate_axioms false
% 150.39/150.55 % --bmc1_out_stat full
% 150.39/150.55 % --bmc1_ground_init false
% 150.39/150.55 % --bmc1_pre_inst_next_state false
% 150.39/150.55 % --bmc1_pre_inst_state false
% 150.39/150.55 % --bmc1_pre_inst_reach_state false
% 150.39/150.55 % --bmc1_out_unsat_core false
% 150.39/150.55 % --bmc1_aig_witness_out false
% 150.39/150.55 % --bmc1_verbose false
% 150.39/150.55 % --bmc1_dump_clauses_tptp false
% 150.39/150.59 % --bmc1_dump_unsat_core_tptp false
% 150.39/150.59 % --bmc1_dump_file -
% 150.39/150.59 % --bmc1_ucm_expand_uc_limit 128
% 150.39/150.59 % --bmc1_ucm_n_expand_iterations 6
% 150.39/150.59 % --bmc1_ucm_extend_mode 1
% 150.39/150.59 % --bmc1_ucm_init_mode 2
% 150.39/150.59 % --bmc1_ucm_cone_mode none
% 150.39/150.59 % --bmc1_ucm_reduced_relation_type 0
% 150.39/150.59 % --bmc1_ucm_relax_model 4
% 150.39/150.59 % --bmc1_ucm_full_tr_after_sat true
% 150.39/150.59 % --bmc1_ucm_expand_neg_assumptions false
% 150.39/150.59 % --bmc1_ucm_layered_model none
% 150.39/150.59 % --bmc1_ucm_max_lemma_size 10
% 150.39/150.59
% 150.39/150.59 % ------ AIG Options
% 150.39/150.59
% 150.39/150.59 % --aig_mode false
% 150.39/150.59
% 150.39/150.59 % ------ Instantiation Options
% 150.39/150.59
% 150.39/150.59 % --instantiation_flag true
% 150.39/150.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.39/150.59 % --inst_solver_per_active 750
% 150.39/150.59 % --inst_solver_calls_frac 0.5
% 150.39/150.59 % --inst_passive_queue_type priority_queues
% 150.39/150.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.39/150.59 % --inst_passive_queues_freq [25;2]
% 150.39/150.59 % --inst_dismatching true
% 150.39/150.59 % --inst_eager_unprocessed_to_passive true
% 150.39/150.59 % --inst_prop_sim_given true
% 150.39/150.59 % --inst_prop_sim_new false
% 150.39/150.59 % --inst_orphan_elimination true
% 150.39/150.59 % --inst_learning_loop_flag true
% 150.39/150.59 % --inst_learning_start 3000
% 150.39/150.59 % --inst_learning_factor 2
% 150.39/150.59 % --inst_start_prop_sim_after_learn 3
% 150.39/150.59 % --inst_sel_renew solver
% 150.39/150.59 % --inst_lit_activity_flag true
% 150.39/150.59 % --inst_out_proof true
% 150.39/150.59
% 150.39/150.59 % ------ Resolution Options
% 150.39/150.59
% 150.39/150.59 % --resolution_flag true
% 150.39/150.59 % --res_lit_sel kbo_max
% 150.39/150.59 % --res_to_prop_solver none
% 150.39/150.59 % --res_prop_simpl_new false
% 150.39/150.59 % --res_prop_simpl_given false
% 150.39/150.59 % --res_passive_queue_type priority_queues
% 150.39/150.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.39/150.59 % --res_passive_queues_freq [15;5]
% 150.39/150.59 % --res_forward_subs full
% 150.39/150.59 % --res_backward_subs full
% 150.39/150.59 % --res_forward_subs_resolution true
% 150.39/150.59 % --res_backward_subs_resolution true
% 150.39/150.59 % --res_orphan_elimination false
% 150.39/150.59 % --res_time_limit 1000.
% 150.39/150.59 % --res_out_proof true
% 150.39/150.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e78252.s
% 150.39/150.59 % --modulo true
% 150.39/150.59
% 150.39/150.59 % ------ Combination Options
% 150.39/150.59
% 150.39/150.59 % --comb_res_mult 1000
% 150.39/150.59 % --comb_inst_mult 300
% 150.39/150.59 % ------
% 150.39/150.59
% 150.39/150.59 % ------ Parsing...% successful
% 150.39/150.59
% 150.39/150.59 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 150.39/150.59
% 150.39/150.59 % ------ Proving...
% 150.39/150.59 % ------ Problem Properties
% 150.39/150.59
% 150.39/150.59 %
% 150.39/150.59 % EPR false
% 150.39/150.59 % Horn false
% 150.39/150.59 % Has equality true
% 150.39/150.59
% 150.39/150.59 % % ------ Input Options Time Limit: Unbounded
% 150.39/150.59
% 150.39/150.59
% 150.39/150.59 % % ------ Current options:
% 150.39/150.59
% 150.39/150.59 % ------ Input Options
% 150.39/150.59
% 150.39/150.59 % --out_options all
% 150.39/150.59 % --tptp_safe_out true
% 150.39/150.59 % --problem_path ""
% 150.39/150.59 % --include_path ""
% 150.39/150.59 % --clausifier .//eprover
% 150.39/150.59 % --clausifier_options --tstp-format
% 150.39/150.59 % --stdin false
% 150.39/150.59 % --dbg_backtrace false
% 150.39/150.59 % --dbg_dump_prop_clauses false
% 150.39/150.59 % --dbg_dump_prop_clauses_file -
% 150.39/150.59 % --dbg_out_stat false
% 150.39/150.59
% 150.39/150.59 % ------ General Options
% 150.39/150.59
% 150.39/150.59 % --fof false
% 150.39/150.59 % --time_out_real 150.
% 150.39/150.59 % --time_out_prep_mult 0.2
% 150.39/150.59 % --time_out_virtual -1.
% 150.39/150.59 % --schedule none
% 150.39/150.59 % --ground_splitting input
% 150.39/150.59 % --splitting_nvd 16
% 150.39/150.59 % --non_eq_to_eq false
% 150.39/150.59 % --prep_gs_sim true
% 150.39/150.59 % --prep_unflatten false
% 150.39/150.59 % --prep_res_sim true
% 150.39/150.59 % --prep_upred true
% 150.39/150.59 % --res_sim_input true
% 150.39/150.59 % --clause_weak_htbl true
% 150.39/150.59 % --gc_record_bc_elim false
% 150.39/150.59 % --symbol_type_check false
% 150.39/150.59 % --clausify_out false
% 150.39/150.59 % --large_theory_mode false
% 150.39/150.59 % --prep_sem_filter none
% 150.39/150.59 % --prep_sem_filter_out false
% 150.39/150.59 % --preprocessed_out false
% 150.39/150.59 % --sub_typing false
% 150.39/150.59 % --brand_transform false
% 150.39/150.59 % --pure_diseq_elim true
% 150.39/150.59 % --min_unsat_core false
% 150.39/150.59 % --pred_elim true
% 150.39/150.59 % --add_important_lit false
% 150.39/150.59 % --soft_assumptions false
% 150.39/150.59 % --reset_solvers false
% 150.39/150.59 % --bc_imp_inh []
% 150.39/150.59 % --conj_cone_tolerance 1.5
% 150.39/150.59 % --prolific_symb_bound 500
% 150.39/150.59 % --lt_threshold 2000
% 150.39/150.59
% 150.39/150.59 % ------ SAT Options
% 150.39/150.59
% 150.39/150.59 % --sat_mode false
% 150.39/150.59 % --sat_fm_restart_options ""
% 150.39/150.59 % --sat_gr_def false
% 150.39/150.59 % --sat_epr_types true
% 150.39/150.59 % --sat_non_cyclic_types false
% 150.39/150.59 % --sat_finite_models false
% 150.39/150.59 % --sat_fm_lemmas false
% 150.39/150.59 % --sat_fm_prep false
% 150.39/150.59 % --sat_fm_uc_incr true
% 150.39/150.59 % --sat_out_model small
% 150.39/150.59 % --sat_out_clauses false
% 150.39/150.59
% 150.39/150.59 % ------ QBF Options
% 150.39/150.59
% 150.39/150.59 % --qbf_mode false
% 150.39/150.59 % --qbf_elim_univ true
% 150.39/150.59 % --qbf_sk_in true
% 150.39/150.59 % --qbf_pred_elim true
% 150.39/150.59 % --qbf_split 32
% 150.39/150.59
% 150.39/150.59 % ------ BMC1 Options
% 150.39/150.59
% 150.39/150.59 % --bmc1_incremental false
% 150.39/150.59 % --bmc1_axioms reachable_all
% 150.39/150.59 % --bmc1_min_bound 0
% 150.39/150.59 % --bmc1_max_bound -1
% 150.39/150.59 % --bmc1_max_bound_default -1
% 150.39/150.59 % --bmc1_symbol_reachability true
% 150.39/150.59 % --bmc1_property_lemmas false
% 150.39/150.59 % --bmc1_k_induction false
% 150.39/150.59 % --bmc1_non_equiv_states false
% 150.39/150.59 % --bmc1_deadlock false
% 150.39/150.59 % --bmc1_ucm false
% 150.39/150.59 % --bmc1_add_unsat_core none
% 150.39/150.59 % --bmc1_unsat_core_children false
% 150.39/150.59 % --bmc1_unsat_core_extrapolate_axioms false
% 150.39/150.59 % --bmc1_out_stat full
% 150.39/150.59 % --bmc1_ground_init false
% 150.39/150.59 % --bmc1_pre_inst_next_state false
% 150.39/150.59 % --bmc1_pre_inst_state false
% 150.39/150.59 % --bmc1_pre_inst_reach_state false
% 150.39/150.59 % --bmc1_out_unsat_core false
% 150.39/150.59 % --bmc1_aig_witness_out false
% 150.39/150.59 % --bmc1_verbose false
% 150.39/150.59 % --bmc1_dump_clauses_tptp false
% 150.39/150.59 % --bmc1_dump_unsat_core_tptp false
% 150.39/150.59 % --bmc1_dump_file -
% 150.39/150.59 % --bmc1_ucm_expand_uc_limit 128
% 150.39/150.59 % --bmc1_ucm_n_expand_iterations 6
% 150.39/150.59 % --bmc1_ucm_extend_mode 1
% 150.39/150.59 % --bmc1_ucm_init_mode 2
% 150.39/150.59 % --bmc1_ucm_cone_mode none
% 150.39/150.59 % --bmc1_ucm_reduced_relation_type 0
% 150.39/150.59 % --bmc1_ucm_relax_model 4
% 150.39/150.59 % --bmc1_ucm_full_tr_after_sat true
% 150.39/150.59 % --bmc1_ucm_expand_neg_assumptions false
% 150.39/150.59 % --bmc1_ucm_layered_model none
% 150.39/150.59 % --bmc1_ucm_max_lemma_size 10
% 150.39/150.59
% 150.39/150.59 % ------ AIG Options
% 150.39/150.59
% 150.39/150.59 % --aig_mode false
% 150.39/150.59
% 150.39/150.59 % ------ Instantiation Options
% 150.39/150.59
% 150.39/150.59 % --instantiation_flag true
% 150.39/150.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.39/150.59 % --inst_solver_per_active 750
% 150.39/150.59 % --inst_solver_calls_frac 0.5
% 150.39/150.59 % --inst_passive_queue_type priority_queues
% 150.39/150.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.39/150.59 % --inst_passive_queues_freq [25;2]
% 150.39/150.59 % --inst_dismatching true
% 150.39/150.59 % --inst_eager_unprocessed_to_passive true
% 150.39/150.59 % --inst_prop_sim_given true
% 173.92/174.10 % --inst_prop_sim_new false
% 173.92/174.10 % --inst_orphan_elimination true
% 173.92/174.10 % --inst_learning_loop_flag true
% 173.92/174.10 % --inst_learning_start 3000
% 173.92/174.10 % --inst_learning_factor 2
% 173.92/174.10 % --inst_start_prop_sim_after_learn 3
% 173.92/174.10 % --inst_sel_renew solver
% 173.92/174.10 % --inst_lit_activity_flag true
% 173.92/174.10 % --inst_out_proof true
% 173.92/174.10
% 173.92/174.10 % ------ Resolution Options
% 173.92/174.10
% 173.92/174.10 % --resolution_flag true
% 173.92/174.10 % --res_lit_sel kbo_max
% 173.92/174.10 % --res_to_prop_solver none
% 173.92/174.10 % --res_prop_simpl_new false
% 173.92/174.10 % --res_prop_simpl_given false
% 173.92/174.10 % --res_passive_queue_type priority_queues
% 173.92/174.10 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 173.92/174.10 % --res_passive_queues_freq [15;5]
% 173.92/174.10 % --res_forward_subs full
% 173.92/174.10 % --res_backward_subs full
% 173.92/174.10 % --res_forward_subs_resolution true
% 173.92/174.10 % --res_backward_subs_resolution true
% 173.92/174.10 % --res_orphan_elimination false
% 173.92/174.10 % --res_time_limit 1000.
% 173.92/174.10 % --res_out_proof true
% 173.92/174.10 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e78252.s
% 173.92/174.10 % --modulo true
% 173.92/174.10
% 173.92/174.10 % ------ Combination Options
% 173.92/174.10
% 173.92/174.10 % --comb_res_mult 1000
% 173.92/174.10 % --comb_inst_mult 300
% 173.92/174.10 % ------
% 173.92/174.10
% 173.92/174.10
% 173.92/174.10
% 173.92/174.10 % ------ Proving...
% 173.92/174.10 %
% 173.92/174.10
% 173.92/174.10
% 173.92/174.10 % ------ Statistics
% 173.92/174.10
% 173.92/174.10 % ------ General
% 173.92/174.10
% 173.92/174.10 % num_of_input_clauses: 456
% 173.92/174.10 % num_of_input_neg_conjectures: 2
% 173.92/174.10 % num_of_splits: 0
% 173.92/174.10 % num_of_split_atoms: 0
% 173.92/174.10 % num_of_sem_filtered_clauses: 0
% 173.92/174.10 % num_of_subtypes: 0
% 173.92/174.10 % monotx_restored_types: 0
% 173.92/174.10 % sat_num_of_epr_types: 0
% 173.92/174.10 % sat_num_of_non_cyclic_types: 0
% 173.92/174.10 % sat_guarded_non_collapsed_types: 0
% 173.92/174.10 % is_epr: 0
% 173.92/174.10 % is_horn: 0
% 173.92/174.10 % has_eq: 1
% 173.92/174.10 % num_pure_diseq_elim: 0
% 173.92/174.10 % simp_replaced_by: 0
% 173.92/174.10 % res_preprocessed: 154
% 173.92/174.10 % prep_upred: 0
% 173.92/174.10 % prep_unflattend: 2
% 173.92/174.10 % pred_elim_cands: 3
% 173.92/174.10 % pred_elim: 3
% 173.92/174.10 % pred_elim_cl: 130
% 173.92/174.10 % pred_elim_cycles: 4
% 173.92/174.10 % forced_gc_time: 0
% 173.92/174.10 % gc_basic_clause_elim: 0
% 173.92/174.10 % parsing_time: 0.017
% 173.92/174.10 % sem_filter_time: 0.
% 173.92/174.10 % pred_elim_time: 0.003
% 173.92/174.10 % out_proof_time: 0.005
% 173.92/174.10 % monotx_time: 0.
% 173.92/174.10 % subtype_inf_time: 0.
% 173.92/174.10 % unif_index_cands_time: 0.128
% 173.92/174.10 % unif_index_add_time: 0.038
% 173.92/174.10 % total_time: 23.565
% 173.92/174.10 % num_of_symbols: 52
% 173.92/174.10 % num_of_terms: 444382
% 173.92/174.10
% 173.92/174.10 % ------ Propositional Solver
% 173.92/174.10
% 173.92/174.10 % prop_solver_calls: 26
% 173.92/174.10 % prop_fast_solver_calls: 2651
% 173.92/174.10 % prop_num_of_clauses: 39129
% 173.92/174.10 % prop_preprocess_simplified: 52441
% 173.92/174.10 % prop_fo_subsumed: 0
% 173.92/174.10 % prop_solver_time: 0.024
% 173.92/174.10 % prop_fast_solver_time: 0.002
% 173.92/174.10 % prop_unsat_core_time: 0.005
% 173.92/174.10
% 173.92/174.10 % ------ QBF
% 173.92/174.10
% 173.92/174.10 % qbf_q_res: 0
% 173.92/174.10 % qbf_num_tautologies: 0
% 173.92/174.10 % qbf_prep_cycles: 0
% 173.92/174.10
% 173.92/174.10 % ------ BMC1
% 173.92/174.10
% 173.92/174.10 % bmc1_current_bound: -1
% 173.92/174.10 % bmc1_last_solved_bound: -1
% 173.92/174.10 % bmc1_unsat_core_size: -1
% 173.92/174.10 % bmc1_unsat_core_parents_size: -1
% 173.92/174.10 % bmc1_merge_next_fun: 0
% 173.92/174.10 % bmc1_unsat_core_clauses_time: 0.
% 173.92/174.10
% 173.92/174.10 % ------ Instantiation
% 173.92/174.10
% 173.92/174.10 % inst_num_of_clauses: 16027
% 173.92/174.10 % inst_num_in_passive: 12935
% 173.92/174.10 % inst_num_in_active: 3044
% 173.92/174.10 % inst_num_in_unprocessed: 37
% 173.92/174.11 % inst_num_of_loops: 3887
% 173.92/174.11 % inst_num_of_learning_restarts: 1
% 173.92/174.11 % inst_num_moves_active_passive: 831
% 173.92/174.11 % inst_lit_activity: 11401
% 173.92/174.11 % inst_lit_activity_moves: 0
% 173.92/174.11 % inst_num_tautologies: 7
% 173.92/174.11 % inst_num_prop_implied: 0
% 173.92/174.11 % inst_num_existing_simplified: 2
% 173.92/174.11 % inst_num_eq_res_simplified: 2
% 173.92/174.11 % inst_num_child_elim: 0
% 173.92/174.11 % inst_num_of_dismatching_blockings: 10506
% 173.92/174.11 % inst_num_of_non_proper_insts: 20398
% 173.92/174.11 % inst_num_of_duplicates: 35421
% 173.92/174.11 % inst_inst_num_from_inst_to_res: 0
% 173.92/174.11 % inst_dismatching_checking_time: 0.6
% 173.92/174.11
% 173.92/174.11 % ------ Resolution
% 173.92/174.11
% 173.92/174.11 % res_num_of_clauses: 279181
% 173.92/174.11 % res_num_in_passive: 269724
% 173.92/174.11 % res_num_in_active: 9425
% 173.92/174.11 % res_num_of_loops: 23000
% 173.92/174.11 % res_forward_subset_subsumed: 43510
% 173.92/174.11 % res_backward_subset_subsumed: 339
% 173.92/174.11 % res_forward_subsumed: 12797
% 173.92/174.11 % res_backward_subsumed: 19
% 173.92/174.11 % res_forward_subsumption_resolution: 9565
% 173.92/174.11 % res_backward_subsumption_resolution: 840
% 173.92/174.11 % res_clause_to_clause_subsumption: 382046
% 173.92/174.11 % res_orphan_elimination: 0
% 173.92/174.11 % res_tautology_del: 18208
% 173.92/174.11 % res_num_eq_res_simplified: 475
% 173.92/174.11 % res_num_sel_changes: 0
% 173.92/174.11 % res_moves_from_active_to_pass: 0
% 173.92/174.11
% 173.92/174.11 % Status Unsatisfiable
% 173.92/174.11 % SZS status Theorem
% 173.92/174.11 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------