TSTP Solution File: NUM506+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM506+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:38:10 EDT 2023
% Result : Theorem 246.77s 247.78s
% Output : CNFRefutation 247.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 51
% Syntax : Number of formulae : 111 ( 24 unt; 31 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 34 ( 17 >; 17 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 14 con; 0-3 aty)
% Number of variables : 119 ( 0 sgn; 65 !; 15 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_26,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_28,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_29,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_30,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_31,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(decl_32,type,
isPrime0: $i > $o ).
tff(decl_33,type,
xn: $i ).
tff(decl_34,type,
xm: $i ).
tff(decl_35,type,
xp: $i ).
tff(decl_36,type,
xk: $i ).
tff(decl_37,type,
xr: $i ).
tff(decl_38,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk3_1: $i > $i ).
tff(decl_41,type,
esk4_1: $i > $i ).
tff(decl_42,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
esk9_0: $i ).
tff(decl_47,type,
esk10_0: $i ).
tff(decl_48,type,
esk11_0: $i ).
tff(decl_49,type,
esk12_0: $i ).
tff(decl_50,type,
esk13_0: $i ).
tff(decl_51,type,
esk14_0: $i ).
tff(decl_52,type,
esk15_0: $i ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(m__2377,hypothesis,
( xk != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
& sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',m__2306) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',mDefDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',mMonAdd) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',mAddCanc) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.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
% 0.00/0.13 % Problem : NUM506+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 18:00:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 246.77/247.78 % Version : CSE_E---1.5
% 246.77/247.78 % Problem : theBenchmark.p
% 246.77/247.78 % Proof found
% 246.77/247.78 % SZS status Theorem for theBenchmark.p
% 246.77/247.78 % SZS output start Proof
% See solution above
% 247.31/247.79 % Total time : 246.599000 s
% 247.31/247.79 % SZS output end Proof
% 247.31/247.79 % Total time : 246.613000 s
%------------------------------------------------------------------------------