TSTP Solution File: NUM506+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM506+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:27 EDT 2023
% Result : Theorem 0.37s 0.97s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 80 ( 24 unt; 0 def)
% Number of atoms : 1644 ( 508 equ)
% Maximal formula atoms : 1287 ( 20 avg)
% Number of connectives : 2478 ( 914 ~;1322 |; 216 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 119 ( 0 sgn; 65 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mLEAsym) ).
fof(m__2377,hypothesis,
( xk != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__2377) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mDefLE) ).
fof(m__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__2362) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__2342) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__1837) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mDivLE) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__2315) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mDivTrans) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mLETran) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mDefDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m_MulUnit) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mIH_03) ).
fof(mMonAdd,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('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mMonAdd) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mSortsB) ).
fof(mAddCanc,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('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mAddCanc) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',mSortsC_01) ).
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__) ).
fof(m__1799,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('/export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p',m__1799) ).
fof(c_0_20,plain,
! [X44,X45] :
( ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X45)
| ~ sdtlseqdt0(X44,X45)
| ~ sdtlseqdt0(X45,X44)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
fof(c_0_21,hypothesis,
( xk != xp
& aNaturalNumber0(esk15_0)
& sdtpldt0(xk,esk15_0) = xp
& sdtlseqdt0(xk,xp) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2377])]) ).
fof(c_0_22,plain,
! [X36,X37,X39] :
( ( aNaturalNumber0(esk1_2(X36,X37))
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( sdtpldt0(X36,esk1_2(X36,X37)) = X37
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( ~ aNaturalNumber0(X39)
| sdtpldt0(X36,X39) != X37
| sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])]) ).
fof(c_0_23,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(c_0_24,hypothesis,
! [X104,X105] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X105)
| xr != sdtasdt0(X104,X105)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& ( ~ doDivides0(X104,xr)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,hypothesis,
sdtlseqdt0(xk,xp),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_28,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_29,hypothesis,
xk != xp,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,plain,
! [X78,X79] :
( ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79)
| ~ doDivides0(X78,X79)
| X79 = sz00
| sdtlseqdt0(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
fof(c_0_31,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
fof(c_0_32,plain,
! [X69,X70,X71] :
( ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71)
| ~ doDivides0(X69,X70)
| ~ doDivides0(X70,X71)
| doDivides0(X69,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(c_0_33,plain,
! [X46,X47,X48] :
( ~ aNaturalNumber0(X46)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X48)
| ~ sdtlseqdt0(X46,X47)
| ~ sdtlseqdt0(X47,X48)
| sdtlseqdt0(X46,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
cnf(c_0_34,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_38,hypothesis,
~ sdtlseqdt0(xp,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_39,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,hypothesis,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_43,plain,
! [X62,X63,X65] :
( ( aNaturalNumber0(esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( X63 = sdtasdt0(X62,esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( ~ aNaturalNumber0(X65)
| X63 != sdtasdt0(X62,X65)
| doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(c_0_44,plain,
! [X21] :
( ( sdtasdt0(X21,sz10) = X21
| ~ aNaturalNumber0(X21) )
& ( X21 = sdtasdt0(sz10,X21)
| ~ aNaturalNumber0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(c_0_45,plain,
! [X60,X61] :
( ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X61)
| X60 = X61
| ~ sdtlseqdt0(X60,X61)
| iLess0(X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
fof(c_0_46,plain,
! [X51,X52,X53] :
( ( sdtpldt0(X53,X51) != sdtpldt0(X53,X52)
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtlseqdt0(sdtpldt0(X53,X51),sdtpldt0(X53,X52))
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtpldt0(X51,X53) != sdtpldt0(X52,X53)
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) )
& ( sdtlseqdt0(sdtpldt0(X51,X53),sdtpldt0(X52,X53))
| ~ aNaturalNumber0(X53)
| X51 = X52
| ~ sdtlseqdt0(X51,X52)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonAdd])])])]) ).
fof(c_0_47,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| aNaturalNumber0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_48,plain,
! [X26,X27,X28] :
( ( sdtpldt0(X26,X27) != sdtpldt0(X26,X28)
| X27 = X28
| ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(X28) )
& ( sdtpldt0(X27,X26) != sdtpldt0(X28,X26)
| X27 = X28
| ~ aNaturalNumber0(X26)
| ~ aNaturalNumber0(X27)
| ~ aNaturalNumber0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
cnf(c_0_49,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_50,hypothesis,
( sdtlseqdt0(xr,X1)
| xk != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_51,hypothesis,
~ doDivides0(xp,xk),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_27]),c_0_28])]),c_0_40]) ).
cnf(c_0_52,hypothesis,
( doDivides0(X1,xk)
| ~ doDivides0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_27]),c_0_36])]) ).
cnf(c_0_53,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_56,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| X2 = X3
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_28]),c_0_27])]) ).
cnf(c_0_61,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_50]),c_0_27])]) ).
cnf(c_0_62,hypothesis,
~ doDivides0(xp,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_28])]) ).
cnf(c_0_63,plain,
( doDivides0(X1,X2)
| X2 != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
fof(c_0_64,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xr,X1) )
| doDivides0(xr,xn)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
| doDivides0(xr,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_65,hypothesis,
! [X88,X89,X90,X93] :
( ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk5_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| aNaturalNumber0(esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| X90 = sdtasdt0(esk5_3(X88,X89,X90),esk6_3(X88,X89,X90))
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(esk5_3(X88,X89,X90),X90)
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != sz10
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| esk5_3(X88,X89,X90) != X90
| X90 = sz00
| X90 = sz10
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X93)
| sdtasdt0(X88,X89) != sdtasdt0(X90,X93)
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| aNaturalNumber0(esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| X88 = sdtasdt0(X90,esk7_3(X88,X89,X90))
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( aNaturalNumber0(esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( X89 = sdtasdt0(X90,esk8_3(X88,X89,X90))
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) )
& ( doDivides0(X90,X89)
| doDivides0(X90,X88)
| ~ iLess0(sdtpldt0(sdtpldt0(X88,X89),X90),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| ~ isPrime0(X90)
| ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])])])]) ).
cnf(c_0_66,plain,
( X1 = X2
| iLess0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_58]),c_0_59]) ).
cnf(c_0_67,hypothesis,
sdtlseqdt0(xr,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_36])]) ).
cnf(c_0_68,hypothesis,
xr != xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_28]),c_0_36])]) ).
fof(c_0_69,negated_conjecture,
! [X109,X110] :
( ( ~ aNaturalNumber0(X109)
| xn != sdtasdt0(xr,X109) )
& ~ doDivides0(xr,xn)
& ( ~ aNaturalNumber0(X110)
| xm != sdtasdt0(xr,X110) )
& ~ doDivides0(xr,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_70,hypothesis,
( doDivides0(X1,X2)
| doDivides0(X1,X3)
| ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X1,sdtasdt0(X3,X2))
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,hypothesis,
( iLess0(sdtpldt0(X1,xr),sdtpldt0(X1,xp))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_28]),c_0_36])]),c_0_68]) ).
cnf(c_0_72,hypothesis,
isPrime0(xr),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_73,hypothesis,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_74,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_75,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_76,negated_conjecture,
~ doDivides0(xr,xm),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,negated_conjecture,
~ doDivides0(xr,xn),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,hypothesis,
~ aNaturalNumber0(sdtpldt0(xn,xm)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_36])]),c_0_76]),c_0_77]) ).
cnf(c_0_79,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_58]),c_0_75]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM506+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 14:53:50 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.7GYzAHpSgP/E---3.1_19872.p
% 0.37/0.97 # Version: 3.1pre001
% 0.37/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.97 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.97 # Starting new_bool_1 with 300s (1) cores
% 0.37/0.97 # Starting sh5l with 300s (1) cores
% 0.37/0.97 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 20023 completed with status 0
% 0.37/0.97 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.37/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.97 # No SInE strategy applied
% 0.37/0.97 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.37/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.97 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.37/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.37/0.97 # Starting new_bool_3 with 136s (1) cores
% 0.37/0.97 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.37/0.97 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 0.37/0.97 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 20039 completed with status 0
% 0.37/0.97 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.37/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.97 # No SInE strategy applied
% 0.37/0.97 # Search class: FGHSF-FSLM32-SFFFFFNN
% 0.37/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.97 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 0.37/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.37/0.97 # Starting new_bool_3 with 136s (1) cores
% 0.37/0.97 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.37/0.97 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 0.37/0.97 # Preprocessing time : 0.004 s
% 0.37/0.97
% 0.37/0.97 # Proof found!
% 0.37/0.97 # SZS status Theorem
% 0.37/0.97 # SZS output start CNFRefutation
% See solution above
% 0.37/0.97 # Parsed axioms : 51
% 0.37/0.97 # Removed by relevancy pruning/SinE : 0
% 0.37/0.97 # Initial clauses : 248
% 0.37/0.97 # Removed in clause preprocessing : 3
% 0.37/0.97 # Initial clauses in saturation : 245
% 0.37/0.97 # Processed clauses : 3229
% 0.37/0.97 # ...of these trivial : 103
% 0.37/0.97 # ...subsumed : 1708
% 0.37/0.97 # ...remaining for further processing : 1418
% 0.37/0.97 # Other redundant clauses eliminated : 0
% 0.37/0.97 # Clauses deleted for lack of memory : 0
% 0.37/0.97 # Backward-subsumed : 118
% 0.37/0.97 # Backward-rewritten : 294
% 0.37/0.97 # Generated clauses : 26803
% 0.37/0.97 # ...of the previous two non-redundant : 24730
% 0.37/0.97 # ...aggressively subsumed : 0
% 0.37/0.97 # Contextual simplify-reflections : 115
% 0.37/0.97 # Paramodulations : 26670
% 0.37/0.97 # Factorizations : 3
% 0.37/0.97 # NegExts : 0
% 0.37/0.97 # Equation resolutions : 123
% 0.37/0.97 # Total rewrite steps : 23896
% 0.37/0.97 # Propositional unsat checks : 0
% 0.37/0.97 # Propositional check models : 0
% 0.37/0.97 # Propositional check unsatisfiable : 0
% 0.37/0.97 # Propositional clauses : 0
% 0.37/0.97 # Propositional clauses after purity: 0
% 0.37/0.97 # Propositional unsat core size : 0
% 0.37/0.97 # Propositional preprocessing time : 0.000
% 0.37/0.97 # Propositional encoding time : 0.000
% 0.37/0.97 # Propositional solver time : 0.000
% 0.37/0.97 # Success case prop preproc time : 0.000
% 0.37/0.97 # Success case prop encoding time : 0.000
% 0.37/0.97 # Success case prop solver time : 0.000
% 0.37/0.97 # Current number of processed clauses : 999
% 0.37/0.97 # Positive orientable unit clauses : 178
% 0.37/0.97 # Positive unorientable unit clauses: 0
% 0.37/0.97 # Negative unit clauses : 108
% 0.37/0.97 # Non-unit-clauses : 713
% 0.37/0.97 # Current number of unprocessed clauses: 21652
% 0.37/0.97 # ...number of literals in the above : 183188
% 0.37/0.97 # Current number of archived formulas : 0
% 0.37/0.97 # Current number of archived clauses : 419
% 0.37/0.97 # Clause-clause subsumption calls (NU) : 201961
% 0.37/0.97 # Rec. Clause-clause subsumption calls : 68479
% 0.37/0.97 # Non-unit clause-clause subsumptions : 1008
% 0.37/0.97 # Unit Clause-clause subsumption calls : 34666
% 0.37/0.97 # Rewrite failures with RHS unbound : 0
% 0.37/0.97 # BW rewrite match attempts : 57
% 0.37/0.97 # BW rewrite match successes : 38
% 0.37/0.97 # Condensation attempts : 3229
% 0.37/0.97 # Condensation successes : 13
% 0.37/0.97 # Termbank termtop insertions : 694222
% 0.37/0.97
% 0.37/0.97 # -------------------------------------------------
% 0.37/0.97 # User time : 0.443 s
% 0.37/0.97 # System time : 0.021 s
% 0.37/0.97 # Total time : 0.464 s
% 0.37/0.97 # Maximum resident set size: 2460 pages
% 0.37/0.97
% 0.37/0.97 # -------------------------------------------------
% 0.37/0.97 # User time : 2.204 s
% 0.37/0.97 # System time : 0.069 s
% 0.37/0.97 # Total time : 2.274 s
% 0.37/0.97 # Maximum resident set size: 1748 pages
% 0.37/0.97 % E---3.1 exiting
%------------------------------------------------------------------------------