%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM449+6 : 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 : n031.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 04:57:22 PM UTC 2026
% Result : Theorem 3.76s 3.09s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 342 ( 54 equ)
% Maximal formula atoms : 102 ( 11 avg)
% Number of connectives : 453 ( 141 ~; 176 |; 108 &)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mArSeqClosed,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
& isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeqClosed) ).
fof(m__2046,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
& szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
& ( ? [X2] :
( aInteger0(X2)
& X2 != sz00
& isPrime0(X2)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
=> szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
=> aElementOf0(X1,xS) ) )
& xS = cS2043 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).
fof(m__,conjecture,
( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ) )
| isOpen0(stldt0(sbsmnsldt0(xS))) ) )
| isClosed0(sbsmnsldt0(xS)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mUnionSClosed,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( aSubsetOf0(X2,cS1395)
& isClosed0(X2) ) ) )
=> isClosed0(sbsmnsldt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnionSClosed) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(m__2117,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2117) ).
fof(c_0_6,plain,
! [X222,X223] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X222,X223),cS1395)
| ~ aInteger0(X222)
| ~ aInteger0(X223)
| X223 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X222,X223))
| ~ aInteger0(X222)
| ~ aInteger0(X223)
| X223 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeqClosed])])]) ).
fof(c_0_7,hypothesis,
! [X224,X226,X228,X229,X230,X231,X232,X234,X235] :
( aSet0(xS)
& ( aInteger0(esk16_1(X224))
| ~ aElementOf0(X224,xS) )
& ( esk16_1(X224) != sz00
| ~ aElementOf0(X224,xS) )
& ( isPrime0(esk16_1(X224))
| ~ aElementOf0(X224,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( aInteger0(X226)
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( aInteger0(esk17_2(X224,X226))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( sdtasdt0(esk16_1(X224),esk17_2(X224,X226)) = sdtpldt0(X226,smndt0(sz00))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( aDivisorOf0(esk16_1(X224),sdtpldt0(X226,smndt0(sz00)))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( sdteqdtlpzmzozddtrp0(X226,sz00,esk16_1(X224))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( ~ aInteger0(X229)
| sdtasdt0(esk16_1(X224),X229) != sdtpldt0(X228,smndt0(sz00))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( ~ aDivisorOf0(esk16_1(X224),sdtpldt0(X228,smndt0(sz00)))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X228,sz00,esk16_1(X224))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)))
| ~ aElementOf0(X224,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X224)) = X224
| ~ aElementOf0(X224,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( aInteger0(X232)
| ~ aElementOf0(X232,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( aInteger0(esk18_3(X230,X231,X232))
| ~ aElementOf0(X232,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( sdtasdt0(X231,esk18_3(X230,X231,X232)) = sdtpldt0(X232,smndt0(sz00))
| ~ aElementOf0(X232,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( aDivisorOf0(X231,sdtpldt0(X232,smndt0(sz00)))
| ~ aElementOf0(X232,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( sdteqdtlpzmzozddtrp0(X232,sz00,X231)
| ~ aElementOf0(X232,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( ~ aInteger0(X235)
| sdtasdt0(X231,X235) != sdtpldt0(X234,smndt0(sz00))
| ~ aInteger0(X234)
| aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( ~ aDivisorOf0(X231,sdtpldt0(X234,smndt0(sz00)))
| ~ aInteger0(X234)
| aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X234,sz00,X231)
| ~ aInteger0(X234)
| aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(sz00,X231))
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X231) != X230
| ~ aInteger0(X231)
| X231 = sz00
| ~ isPrime0(X231)
| aElementOf0(X230,xS) )
& xS = cS2043 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2046])])])])])]) ).
cnf(c_0_8,plain,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
( aInteger0(esk16_1(X1))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
( esk16_1(X1) != sz00
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
=> ? [X2] :
( aInteger0(X2)
& X2 != sz00
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(X1)) )
| aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)) ) ) )
=> ( ! [X3] :
( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> aElementOf0(X3,stldt0(sbsmnsldt0(xS))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sbsmnsldt0(xS))) ) ) ) )
| isOpen0(stldt0(sbsmnsldt0(xS))) ) )
| isClosed0(sbsmnsldt0(xS)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_12,plain,
! [X220] :
( ( aElementOf0(esk15_1(X220),X220)
| ~ aSet0(X220)
| ~ isFinite0(X220)
| isClosed0(sbsmnsldt0(X220)) )
& ( ~ aSubsetOf0(esk15_1(X220),cS1395)
| ~ isClosed0(esk15_1(X220))
| ~ aSet0(X220)
| ~ isFinite0(X220)
| isClosed0(sbsmnsldt0(X220)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mUnionSClosed])])])]) ).
cnf(c_0_13,hypothesis,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X1,esk16_1(X2)))
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,hypothesis,
( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X1)) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
fof(c_0_16,negated_conjecture,
! [X242,X244,X245,X246,X248,X249,X251] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X242)
| ~ aElementOf0(X242,sbsmnsldt0(xS)) )
& ( aElementOf0(esk20_1(X242),xS)
| ~ aElementOf0(X242,sbsmnsldt0(xS)) )
& ( aElementOf0(X242,esk20_1(X242))
| ~ aElementOf0(X242,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X244)
| ~ aElementOf0(X245,xS)
| ~ aElementOf0(X244,X245)
| aElementOf0(X244,sbsmnsldt0(xS)) )
& ( aInteger0(X246)
| ~ aElementOf0(X246,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X246,sbsmnsldt0(xS))
| ~ aElementOf0(X246,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X246)
| aElementOf0(X246,sbsmnsldt0(xS))
| aElementOf0(X246,stldt0(sbsmnsldt0(xS))) )
& aElementOf0(esk21_0,stldt0(sbsmnsldt0(xS)))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( aInteger0(X249)
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( aInteger0(esk22_2(X248,X249))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( sdtasdt0(X248,esk22_2(X248,X249)) = sdtpldt0(X249,smndt0(esk21_0))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( aDivisorOf0(X248,sdtpldt0(X249,smndt0(esk21_0)))
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X249,esk21_0,X248)
| ~ aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( ~ aInteger0(X251)
| sdtasdt0(X248,X251) != sdtpldt0(X249,smndt0(esk21_0))
| ~ aInteger0(X249)
| aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( ~ aDivisorOf0(X248,sdtpldt0(X249,smndt0(esk21_0)))
| ~ aInteger0(X249)
| aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X249,esk21_0,X248)
| ~ aInteger0(X249)
| aElementOf0(X249,szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( aElementOf0(esk23_1(X248),szAzrzSzezqlpdtcmdtrp0(esk21_0,X248))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( ~ aElementOf0(esk23_1(X248),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X248)
| X248 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X248),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X248)
| X248 = sz00 )
& ~ isOpen0(stldt0(sbsmnsldt0(xS)))
& ~ isClosed0(sbsmnsldt0(xS)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
cnf(c_0_17,plain,
( isClosed0(sbsmnsldt0(X1))
| ~ aSubsetOf0(esk15_1(X1),cS1395)
| ~ isClosed0(esk15_1(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
( isClosed0(X1)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,plain,
( aElementOf0(esk15_1(X1),X1)
| isClosed0(sbsmnsldt0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[m__2117]) ).
cnf(c_0_21,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ isClosed0(sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),cS1395)
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,hypothesis,
( isClosed0(sbsmnsldt0(X1))
| ~ isFinite0(X1)
| ~ aSubsetOf0(esk15_1(X1),cS1395)
| ~ aElementOf0(esk15_1(X1),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,hypothesis,
aElementOf0(esk15_1(xS),xS),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_26,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk16_1(X2)),cS1395)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_9]),c_0_10]) ).
cnf(c_0_27,negated_conjecture,
~ aSubsetOf0(esk15_1(xS),cS1395),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_20]),c_0_25]),c_0_21])]) ).
cnf(c_0_28,hypothesis,
( aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM449+6 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % 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
% 0.11/0.29 % Computer : n031.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue May 5 00:37:53 EDT 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 3.76/3.09 % Version : CSE_E---1.7
% 3.76/3.09 % Problem : theBenchmark.p
% 3.76/3.09 % SZS status Theorem for theBenchmark.p
% 3.76/3.09 % SZS output start CNFRefutation
% See solution above
% 3.76/3.10 % Total time : 2.368s
%------------------------------------------------------------------------------