TSTP Solution File: NUM437+5 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 10:37:29 EDT 2023
% Result : Theorem 0.20s 0.84s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 45
% Syntax : Number of formulae : 74 ( 2 unt; 42 typ; 0 def)
% Number of atoms : 339 ( 35 equ)
% Maximal formula atoms : 69 ( 10 avg)
% Number of connectives : 444 ( 137 ~; 151 |; 120 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 37 >; 28 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 5 con; 0-3 aty)
% Number of variables : 92 ( 4 sgn; 43 !; 17 ?; 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,
epred1_1: $i > $o ).
tff(decl_45,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk2_1: $i > $i ).
tff(decl_47,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk6_1: $i > $i ).
tff(decl_51,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk13_1: $i > $i ).
tff(decl_58,type,
esk14_1: $i > $i ).
tff(decl_59,type,
esk15_0: $i ).
tff(decl_60,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk17_1: $i > $i ).
tff(decl_62,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk19_3: ( $i * $i * $i ) > $i ).
fof(m__,conjecture,
( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,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,sbsmnsldt0(xS)) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),sbsmnsldt0(xS)) ) ) ) )
| isOpen0(sbsmnsldt0(xS)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1750,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> ( aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,cS1395) )
& aSubsetOf0(X1,cS1395)
& ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
& ( ( aInteger0(X4)
& ( ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& ! [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X4,X1) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) )
& isOpen0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1750) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ( aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,cS1395) )
& aSubsetOf0(X1,cS1395)
& ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
& ( ( aInteger0(X4)
& ( ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& ! [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X4,X1) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) )
& isOpen0(X1) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ( aSet0(cS1395)
& ! [X2] :
( aElementOf0(X2,cS1395)
<=> aInteger0(X2) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,cS1395) )
& aSubsetOf0(X1,cS1395)
& ! [X2] :
( aElementOf0(X2,X1)
=> ? [X3] :
( aInteger0(X3)
& X3 != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( aInteger0(X4)
& ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
& ( ( aInteger0(X4)
& ( ? [X5] :
( aInteger0(X5)
& sdtasdt0(X3,X5) = sdtpldt0(X4,smndt0(X2)) )
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| sdteqdtlpzmzozddtrp0(X4,X2,X3) ) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& ! [X4] :
( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X4,X1) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1) ) )
& isOpen0(X1) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ( ( aSet0(sbsmnsldt0(xS))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( aInteger0(X1)
& ? [X2] :
( aElementOf0(X2,xS)
& aElementOf0(X1,X2) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,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,sbsmnsldt0(xS)) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),sbsmnsldt0(xS)) ) ) ) )
| isOpen0(sbsmnsldt0(xS)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,plain,
! [X115,X116,X117,X118,X119,X121,X123,X124,X125] :
( ( aSet0(cS1395)
| ~ epred1_1(X115) )
& ( ~ aElementOf0(X116,cS1395)
| aInteger0(X116)
| ~ epred1_1(X115) )
& ( ~ aInteger0(X117)
| aElementOf0(X117,cS1395)
| ~ epred1_1(X115) )
& ( aSet0(X115)
| ~ epred1_1(X115) )
& ( ~ aElementOf0(X118,X115)
| aElementOf0(X118,cS1395)
| ~ epred1_1(X115) )
& ( aSubsetOf0(X115,cS1395)
| ~ epred1_1(X115) )
& ( aInteger0(esk18_2(X115,X119))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( esk18_2(X115,X119) != sz00
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( aInteger0(X121)
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( aInteger0(esk19_3(X115,X119,X121))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( sdtasdt0(esk18_2(X115,X119),esk19_3(X115,X119,X121)) = sdtpldt0(X121,smndt0(X119))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( aDivisorOf0(esk18_2(X115,X119),sdtpldt0(X121,smndt0(X119)))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( sdteqdtlpzmzozddtrp0(X121,X119,esk18_2(X115,X119))
| ~ aElementOf0(X121,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( ~ aInteger0(X124)
| sdtasdt0(esk18_2(X115,X119),X124) != sdtpldt0(X123,smndt0(X119))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( ~ aDivisorOf0(esk18_2(X115,X119),sdtpldt0(X123,smndt0(X119)))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( ~ sdteqdtlpzmzozddtrp0(X123,X119,esk18_2(X115,X119))
| ~ aInteger0(X123)
| aElementOf0(X123,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( ~ aElementOf0(X125,szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)))
| aElementOf0(X125,X115)
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X119,esk18_2(X115,X119)),X115)
| ~ aElementOf0(X119,X115)
| ~ epred1_1(X115) )
& ( isOpen0(X115)
| ~ epred1_1(X115) ) ),
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_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X105,X107,X108,X110,X111,X113] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X105)
| ~ aElementOf0(X105,sbsmnsldt0(xS)) )
& ( aElementOf0(esk14_1(X105),xS)
| ~ aElementOf0(X105,sbsmnsldt0(xS)) )
& ( aElementOf0(X105,esk14_1(X105))
| ~ aElementOf0(X105,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X107)
| ~ aElementOf0(X108,xS)
| ~ aElementOf0(X107,X108)
| aElementOf0(X107,sbsmnsldt0(xS)) )
& aElementOf0(esk15_0,sbsmnsldt0(xS))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( aInteger0(X111)
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( aInteger0(esk16_2(X110,X111))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( sdtasdt0(X110,esk16_2(X110,X111)) = sdtpldt0(X111,smndt0(esk15_0))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( aDivisorOf0(X110,sdtpldt0(X111,smndt0(esk15_0)))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X111,esk15_0,X110)
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( ~ aInteger0(X113)
| sdtasdt0(X110,X113) != sdtpldt0(X111,smndt0(esk15_0))
| ~ aInteger0(X111)
| aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( ~ aDivisorOf0(X110,sdtpldt0(X111,smndt0(esk15_0)))
| ~ aInteger0(X111)
| aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X111,esk15_0,X110)
| ~ aInteger0(X111)
| aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( aElementOf0(esk17_1(X110),szAzrzSzezqlpdtcmdtrp0(esk15_0,X110))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( ~ aElementOf0(esk17_1(X110),sbsmnsldt0(xS))
| ~ aInteger0(X110)
| X110 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X110),sbsmnsldt0(xS))
| ~ aInteger0(X110)
| X110 = sz00 )
& ~ isOpen0(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_4])])])])])]) ).
cnf(c_0_7,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(X2,esk18_2(X3,X2)))
| ~ aElementOf0(X2,X3)
| ~ epred1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( aElementOf0(esk17_1(X1),szAzrzSzezqlpdtcmdtrp0(esk15_0,X1))
| X1 = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( aInteger0(esk18_2(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( esk18_2(X1,X2) != sz00
| ~ aElementOf0(X2,X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,X2)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(esk17_1(esk18_2(X1,esk15_0)),X1)
| ~ epred1_1(X1)
| ~ aElementOf0(esk15_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]) ).
fof(c_0_13,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> epred1_1(X1) ) ),
inference(apply_def,[status(thm)],[m__1750,c_0_2]) ).
cnf(c_0_14,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,cS1395)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( aElementOf0(esk17_1(esk18_2(X1,esk15_0)),cS1395)
| ~ epred1_1(X1)
| ~ aElementOf0(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,hypothesis,
! [X104] :
( aSet0(xS)
& ( ~ aElementOf0(X104,xS)
| epred1_1(X104) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_17,plain,
( aInteger0(esk17_1(esk18_2(X1,esk15_0)))
| ~ epred1_1(X2)
| ~ epred1_1(X1)
| ~ aElementOf0(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,hypothesis,
( aInteger0(esk17_1(esk18_2(X1,esk15_0)))
| ~ epred1_1(X1)
| ~ aElementOf0(esk15_0,X1)
| ~ aElementOf0(X2,xS) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(esk14_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aInteger0(X1)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( aInteger0(esk17_1(esk18_2(X1,esk15_0)))
| ~ epred1_1(X1)
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aElementOf0(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
aElementOf0(esk15_0,sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aElementOf0(X1,esk14_1(X2))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( aInteger0(esk17_1(esk18_2(X1,esk15_0)))
| ~ epred1_1(X1)
| ~ aElementOf0(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( X1 = sz00
| ~ aElementOf0(esk17_1(X1),sbsmnsldt0(xS))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(esk17_1(esk18_2(esk14_1(X1),esk15_0)),sbsmnsldt0(xS))
| ~ epred1_1(esk14_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(esk15_0,esk14_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( ~ epred1_1(esk14_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(esk15_0,esk14_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_9]),c_0_10]) ).
cnf(c_0_29,hypothesis,
( ~ aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(esk15_0,esk14_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( aElementOf0(X1,esk14_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n018.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 11:23:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.84 % Version : CSE_E---1.5
% 0.20/0.84 % Problem : theBenchmark.p
% 0.20/0.84 % Proof found
% 0.20/0.84 % SZS status Theorem for theBenchmark.p
% 0.20/0.84 % SZS output start Proof
% See solution above
% 0.20/0.84 % Total time : 0.267000 s
% 0.20/0.84 % SZS output end Proof
% 0.20/0.84 % Total time : 0.271000 s
%------------------------------------------------------------------------------