TSTP Solution File: NUM449+6 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM449+6 : 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 : n017.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 10:37:36 EDT 2023
% Result : Theorem 0.55s 0.92s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 53
% Syntax : Number of formulae : 77 ( 9 unt; 47 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 68 ( 40 >; 28 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 37 ( 37 usr; 7 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn; 36 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aInteger0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
smndt0: $i > $i ).
tff(decl_26,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_28,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
isPrime0: $i > $o ).
tff(decl_31,type,
aSet0: $i > $o ).
tff(decl_32,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_33,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_34,type,
isFinite0: $i > $o ).
tff(decl_35,type,
cS1395: $i ).
tff(decl_36,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff(decl_37,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(decl_38,type,
sbsmnsldt0: $i > $i ).
tff(decl_39,type,
stldt0: $i > $i ).
tff(decl_40,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(decl_41,type,
isOpen0: $i > $o ).
tff(decl_42,type,
isClosed0: $i > $o ).
tff(decl_43,type,
xS: $i ).
tff(decl_44,type,
cS2043: $i ).
tff(decl_45,type,
cS2076: $i ).
tff(decl_46,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk2_1: $i > $i ).
tff(decl_48,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk6_1: $i > $i ).
tff(decl_52,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk13_1: $i > $i ).
tff(decl_59,type,
esk14_1: $i > $i ).
tff(decl_60,type,
esk15_1: $i > $i ).
tff(decl_61,type,
esk16_1: $i > $i ).
tff(decl_62,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk19_1: $i > $i ).
tff(decl_65,type,
esk20_1: $i > $i ).
tff(decl_66,type,
esk21_0: $i ).
tff(decl_67,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk23_1: $i > $i ).
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,
! [X111,X112] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X111,X112),cS1395)
| ~ aInteger0(X111)
| ~ aInteger0(X112)
| X112 = sz00 )
& ( isClosed0(szAzrzSzezqlpdtcmdtrp0(X111,X112))
| ~ aInteger0(X111)
| ~ aInteger0(X112)
| X112 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArSeqClosed])])]) ).
fof(c_0_7,hypothesis,
! [X113,X115,X117,X118,X119,X120,X121,X123,X124] :
( aSet0(xS)
& ( aInteger0(esk16_1(X113))
| ~ aElementOf0(X113,xS) )
& ( esk16_1(X113) != sz00
| ~ aElementOf0(X113,xS) )
& ( isPrime0(esk16_1(X113))
| ~ aElementOf0(X113,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aInteger0(X115)
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aInteger0(esk17_2(X113,X115))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( sdtasdt0(esk16_1(X113),esk17_2(X113,X115)) = sdtpldt0(X115,smndt0(sz00))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( aDivisorOf0(esk16_1(X113),sdtpldt0(X115,smndt0(sz00)))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( sdteqdtlpzmzozddtrp0(X115,sz00,esk16_1(X113))
| ~ aElementOf0(X115,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ aInteger0(X118)
| sdtasdt0(esk16_1(X113),X118) != sdtpldt0(X117,smndt0(sz00))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ aDivisorOf0(esk16_1(X113),sdtpldt0(X117,smndt0(sz00)))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X117,sz00,esk16_1(X113))
| ~ aInteger0(X117)
| aElementOf0(X117,szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)))
| ~ aElementOf0(X113,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,esk16_1(X113)) = X113
| ~ aElementOf0(X113,xS) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aInteger0(X121)
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aInteger0(esk18_3(X119,X120,X121))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( sdtasdt0(X120,esk18_3(X119,X120,X121)) = sdtpldt0(X121,smndt0(sz00))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( aDivisorOf0(X120,sdtpldt0(X121,smndt0(sz00)))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( sdteqdtlpzmzozddtrp0(X121,sz00,X120)
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ aInteger0(X124)
| sdtasdt0(X120,X124) != sdtpldt0(X123,smndt0(sz00))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ aDivisorOf0(X120,sdtpldt0(X123,smndt0(sz00)))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( ~ sdteqdtlpzmzozddtrp0(X123,sz00,X120)
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(sz00,X120))
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,xS) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,X120) != X119
| ~ aInteger0(X120)
| X120 = sz00
| ~ isPrime0(X120)
| aElementOf0(X119,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,
! [X109] :
( ( aElementOf0(esk15_1(X109),X109)
| ~ aSet0(X109)
| ~ isFinite0(X109)
| isClosed0(sbsmnsldt0(X109)) )
& ( ~ aSubsetOf0(esk15_1(X109),cS1395)
| ~ isClosed0(esk15_1(X109))
| ~ aSet0(X109)
| ~ isFinite0(X109)
| isClosed0(sbsmnsldt0(X109)) ) ),
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,
! [X131,X133,X134,X135,X137,X138,X140] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X131)
| ~ aElementOf0(X131,sbsmnsldt0(xS)) )
& ( aElementOf0(esk20_1(X131),xS)
| ~ aElementOf0(X131,sbsmnsldt0(xS)) )
& ( aElementOf0(X131,esk20_1(X131))
| ~ aElementOf0(X131,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X133)
| ~ aElementOf0(X134,xS)
| ~ aElementOf0(X133,X134)
| aElementOf0(X133,sbsmnsldt0(xS)) )
& ( aInteger0(X135)
| ~ aElementOf0(X135,stldt0(sbsmnsldt0(xS))) )
& ( ~ aElementOf0(X135,sbsmnsldt0(xS))
| ~ aElementOf0(X135,stldt0(sbsmnsldt0(xS))) )
& ( ~ aInteger0(X135)
| aElementOf0(X135,sbsmnsldt0(xS))
| aElementOf0(X135,stldt0(sbsmnsldt0(xS))) )
& aElementOf0(esk21_0,stldt0(sbsmnsldt0(xS)))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( aInteger0(X138)
| ~ aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( aInteger0(esk22_2(X137,X138))
| ~ aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( sdtasdt0(X137,esk22_2(X137,X138)) = sdtpldt0(X138,smndt0(esk21_0))
| ~ aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( aDivisorOf0(X137,sdtpldt0(X138,smndt0(esk21_0)))
| ~ aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X138,esk21_0,X137)
| ~ aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( ~ aInteger0(X140)
| sdtasdt0(X137,X140) != sdtpldt0(X138,smndt0(esk21_0))
| ~ aInteger0(X138)
| aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( ~ aDivisorOf0(X137,sdtpldt0(X138,smndt0(esk21_0)))
| ~ aInteger0(X138)
| aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X138,esk21_0,X137)
| ~ aInteger0(X138)
| aElementOf0(X138,szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( aElementOf0(esk23_1(X137),szAzrzSzezqlpdtcmdtrp0(esk21_0,X137))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( ~ aElementOf0(esk23_1(X137),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X137)
| X137 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk21_0,X137),stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(X137)
| X137 = 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
% 0.07/0.12 % Problem : NUM449+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 17:22:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.55/0.92 % Version : CSE_E---1.5
% 0.55/0.92 % Problem : theBenchmark.p
% 0.55/0.92 % Proof found
% 0.55/0.92 % SZS status Theorem for theBenchmark.p
% 0.55/0.92 % SZS output start Proof
% See solution above
% 0.55/0.92 % Total time : 0.332000 s
% 0.55/0.92 % SZS output end Proof
% 0.55/0.92 % Total time : 0.337000 s
%------------------------------------------------------------------------------