%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM495+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 : Tue May 5 04:57:33 PM UTC 2026
% Result : Theorem 1.96s 1.91s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 23 unt; 0 def)
% Number of atoms : 1525 ( 491 equ)
% Maximal formula atoms : 1287 ( 25 avg)
% Number of connectives : 2308 ( 844 ~;1261 |; 188 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 138 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn 40 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
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(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(m__1913,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1913) ).
fof(m__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(m__2062,hypothesis,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2062) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
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(m__1883,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(m__,conjecture,
( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,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_13,plain,
! [X161,X162,X164] :
( ( aNaturalNumber0(esk2_2(X161,X162))
| ~ doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) )
& ( X162 = sdtasdt0(X161,esk2_2(X161,X162))
| ~ doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) )
& ( ~ aNaturalNumber0(X164)
| X162 != sdtasdt0(X161,X164)
| doDivides0(X161,X162)
| ~ aNaturalNumber0(X161)
| ~ aNaturalNumber0(X162) ) ),
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_14,plain,
! [X107,X108] :
( ~ aNaturalNumber0(X107)
| ~ aNaturalNumber0(X108)
| aNaturalNumber0(sdtasdt0(X107,X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_15,plain,
! [X165,X166,X167] :
( ( aNaturalNumber0(X167)
| X167 != sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) )
& ( X166 = sdtasdt0(X165,X167)
| X167 != sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) )
& ( ~ aNaturalNumber0(X167)
| X166 != sdtasdt0(X165,X167)
| X167 = sdtsldt0(X166,X165)
| X165 = sz00
| ~ doDivides0(X165,X166)
| ~ aNaturalNumber0(X165)
| ~ aNaturalNumber0(X166) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
cnf(c_0_16,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_17]) ).
fof(c_0_20,hypothesis,
( aNaturalNumber0(esk12_0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0)
& doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1913])]) ).
fof(c_0_21,hypothesis,
! [X195,X196] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X196)
| xp != sdtasdt0(X195,X196)
| ~ aNaturalNumber0(X195)
| X195 = sz10
| X195 = xp )
& ( ~ doDivides0(X195,xp)
| ~ aNaturalNumber0(X195)
| X195 = sz10
| X195 = xp )
& isPrime0(xp)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1860])])])])]) ).
fof(c_0_22,plain,
! [X105,X106] :
( ~ aNaturalNumber0(X105)
| ~ aNaturalNumber0(X106)
| aNaturalNumber0(sdtpldt0(X105,X106)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_23,hypothesis,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(esk13_0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2062])]) ).
cnf(c_0_24,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_17]),c_0_19]) ).
cnf(c_0_25,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xp,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_27,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X115,X116] :
( ~ aNaturalNumber0(X115)
| ~ aNaturalNumber0(X116)
| sdtasdt0(X115,X116) = sdtasdt0(X116,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_30,plain,
! [X159,X160] :
( ~ aNaturalNumber0(X159)
| ~ aNaturalNumber0(X160)
| X159 = X160
| ~ sdtlseqdt0(X159,X160)
| iLess0(X159,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_31,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),esk13_0) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,hypothesis,
sdtsldt0(sdtasdt0(xr,xm),xp) = esk12_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_36,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_38,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[m__1883]) ).
cnf(c_0_39,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,hypothesis,
aNaturalNumber0(sdtasdt0(xr,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_27]),c_0_26])]) ).
fof(c_0_41,negated_conjecture,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(xp,X1) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_42,hypothesis,
! [X187,X188,X189,X192] :
( ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk5_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| aNaturalNumber0(esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| X189 = sdtasdt0(esk5_3(X187,X188,X189),esk6_3(X187,X188,X189))
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| doDivides0(esk5_3(X187,X188,X189),X189)
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != sz10
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| esk5_3(X187,X188,X189) != X189
| X189 = sz00
| X189 = sz10
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(X192)
| sdtasdt0(X187,X188) != sdtasdt0(X189,X192)
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| aNaturalNumber0(esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| X187 = sdtasdt0(X189,esk7_3(X187,X188,X189))
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( aNaturalNumber0(esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( X188 = sdtasdt0(X189,esk8_3(X187,X188,X189))
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) )
& ( doDivides0(X189,X188)
| doDivides0(X189,X187)
| ~ iLess0(sdtpldt0(sdtpldt0(X187,X188),X189),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X189,sdtasdt0(X187,X188))
| ~ isPrime0(X189)
| ~ aNaturalNumber0(X187)
| ~ aNaturalNumber0(X188)
| ~ aNaturalNumber0(X189) ) ),
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_43,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_45,hypothesis,
sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_46,hypothesis,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_47,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_48,hypothesis,
sdtsldt0(sdtasdt0(xm,xr),xp) = esk12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_49,hypothesis,
doDivides0(xp,sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_38]),c_0_37])]) ).
cnf(c_0_50,hypothesis,
aNaturalNumber0(sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_38]),c_0_37])]) ).
fof(c_0_51,negated_conjecture,
! [X202,X203] :
( ( ~ aNaturalNumber0(X202)
| xr != sdtasdt0(xp,X202) )
& ~ doDivides0(xp,xr)
& ( ~ aNaturalNumber0(X203)
| xm != sdtasdt0(xp,X203) )
& ~ doDivides0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_52,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_42]) ).
cnf(c_0_53,hypothesis,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_54,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_55,hypothesis,
sdtasdt0(xr,xm) = sdtasdt0(xm,xr),
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(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25]),c_0_49]),c_0_26]),c_0_50])]),c_0_28]) ).
cnf(c_0_56,negated_conjecture,
~ doDivides0(xp,xr),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
~ doDivides0(xp,xm),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,hypothesis,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_49]),c_0_38]),c_0_37]),c_0_26])]),c_0_56]),c_0_57]) ).
cnf(c_0_59,hypothesis,
~ aNaturalNumber0(sdtpldt0(xr,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_26])]) ).
cnf(c_0_60,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_31]),c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM495+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:38:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.96/1.91 % Version : CSE_E---1.7
% 1.96/1.91 % Problem : theBenchmark.p
% 1.96/1.91 % SZS status Theorem for theBenchmark.p
% 1.96/1.91 % SZS output start CNFRefutation
% See solution above
% 1.96/1.91 % Total time : 1.374s
%------------------------------------------------------------------------------