TSTP Solution File: NUM437+5 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM437+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : 600s
% DateTime : Mon Jul 18 09:32:25 EDT 2022
% Result : Theorem 0.29s 1.46s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 328 ( 39 equ)
% Maximal formula atoms : 69 ( 10 avg)
% Number of connectives : 421 ( 124 ~; 141 |; 120 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 4 sgn 44 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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,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_4,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> epred1_1(X1) ) ),
inference(apply_def,[status(thm)],[m__1750,c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X5,X5,X7,X9,X10,X10,X12] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X5)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(esk14_1(X5),xS)
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( aElementOf0(X5,esk14_1(X5))
| ~ aElementOf0(X5,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X5)
| ~ aElementOf0(X7,xS)
| ~ aElementOf0(X5,X7)
| aElementOf0(X5,sbsmnsldt0(xS)) )
& aElementOf0(esk15_0,sbsmnsldt0(xS))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( aInteger0(X10)
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( aInteger0(esk16_2(X9,X10))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( sdtasdt0(X9,esk16_2(X9,X10)) = sdtpldt0(X10,smndt0(esk15_0))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( aDivisorOf0(X9,sdtpldt0(X10,smndt0(esk15_0)))
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X10,esk15_0,X9)
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ aInteger0(X12)
| sdtasdt0(X9,X12) != sdtpldt0(X10,smndt0(esk15_0))
| ~ aInteger0(X10)
| aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ aDivisorOf0(X9,sdtpldt0(X10,smndt0(esk15_0)))
| ~ aInteger0(X10)
| aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X10,esk15_0,X9)
| ~ aInteger0(X10)
| aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( aElementOf0(esk17_1(X9),szAzrzSzezqlpdtcmdtrp0(esk15_0,X9))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ aElementOf0(esk17_1(X9),sbsmnsldt0(xS))
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X9),sbsmnsldt0(xS))
| ~ aInteger0(X9)
| X9 = sz00 )
& ~ isOpen0(sbsmnsldt0(xS)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_6,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_7,hypothesis,
! [X2] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| epred1_1(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_8,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,xS)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(esk14_1(X1),xS)
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
! [X6,X7,X7,X8,X9,X11,X11,X13,X14] :
( ( aSet0(cS1395)
| ~ epred1_1(X6) )
& ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7)
| ~ epred1_1(X6) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395)
| ~ epred1_1(X6) )
& ( aSet0(X6)
| ~ epred1_1(X6) )
& ( ~ aElementOf0(X8,X6)
| aElementOf0(X8,cS1395)
| ~ epred1_1(X6) )
& ( aSubsetOf0(X6,cS1395)
| ~ epred1_1(X6) )
& ( aInteger0(esk18_2(X6,X9))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( esk18_2(X6,X9) != sz00
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( aInteger0(esk19_3(X6,X9,X11))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( sdtasdt0(esk18_2(X6,X9),esk19_3(X6,X9,X11)) = sdtpldt0(X11,smndt0(X9))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( aDivisorOf0(esk18_2(X6,X9),sdtpldt0(X11,smndt0(X9)))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( sdteqdtlpzmzozddtrp0(X11,X9,esk18_2(X6,X9))
| ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( ~ aInteger0(X13)
| sdtasdt0(esk18_2(X6,X9),X13) != sdtpldt0(X11,smndt0(X9))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( ~ aDivisorOf0(esk18_2(X6,X9),sdtpldt0(X11,smndt0(X9)))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( ~ sdteqdtlpzmzozddtrp0(X11,X9,esk18_2(X6,X9))
| ~ aInteger0(X11)
| aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( ~ aElementOf0(X14,szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)))
| aElementOf0(X14,X6)
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X9,esk18_2(X6,X9)),X6)
| ~ aElementOf0(X9,X6)
| ~ epred1_1(X6) )
& ( isOpen0(X6)
| ~ epred1_1(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).
cnf(c_0_11,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X2,sbsmnsldt0(xS))
| ~ aElementOf0(X1,esk14_1(X2))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk15_0,sbsmnsldt0(xS)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( aElementOf0(X3,X1)
| ~ epred1_1(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X2,esk18_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( X1 = sz00
| aElementOf0(esk17_1(X1),szAzrzSzezqlpdtcmdtrp0(esk15_0,X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( aInteger0(esk18_2(X1,X2))
| ~ epred1_1(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ epred1_1(X1)
| ~ aElementOf0(X2,X1)
| esk18_2(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( epred1_1(esk14_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( aElementOf0(X1,sbsmnsldt0(xS))
| ~ aElementOf0(X1,esk14_1(esk15_0))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,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_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
epred1_1(esk14_1(esk15_0)),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( X1 = sz00
| aInteger0(X2)
| ~ aInteger0(X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(esk15_0,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( X1 = sz00
| ~ aInteger0(X1)
| ~ aElementOf0(esk17_1(X1),sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0)),sbsmnsldt0(xS))
| ~ aElementOf0(esk15_0,esk14_1(esk15_0))
| ~ aInteger0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,negated_conjecture,
( X1 = sz00
| aInteger0(esk17_1(X1))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( esk18_2(esk14_1(esk15_0),esk15_0) = sz00
| ~ aElementOf0(esk15_0,esk14_1(esk15_0))
| ~ aInteger0(esk18_2(esk14_1(esk15_0),esk15_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,plain,
( esk18_2(esk14_1(esk15_0),esk15_0) = sz00
| ~ aElementOf0(esk15_0,esk14_1(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_21])]) ).
cnf(c_0_28,plain,
~ aElementOf0(esk15_0,esk14_1(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_21])]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(X1,esk14_1(X1))
| ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM437+5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Wed Jul 6 03:09:29 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.29/1.46 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.29/1.46 # Preprocessing time : 0.023 s
% 0.29/1.46
% 0.29/1.46 # Proof found!
% 0.29/1.46 # SZS status Theorem
% 0.29/1.46 # SZS output start CNFRefutation
% See solution above
% 0.29/1.46 # Proof object total steps : 31
% 0.29/1.46 # Proof object clause steps : 22
% 0.29/1.46 # Proof object formula steps : 9
% 0.29/1.46 # Proof object conjectures : 19
% 0.29/1.46 # Proof object clause conjectures : 16
% 0.29/1.46 # Proof object formula conjectures : 3
% 0.29/1.46 # Proof object initial clauses used : 11
% 0.29/1.46 # Proof object initial formulas used : 2
% 0.29/1.46 # Proof object generating inferences : 11
% 0.29/1.46 # Proof object simplifying inferences : 11
% 0.29/1.46 # Training examples: 0 positive, 0 negative
% 0.29/1.46 # Parsed axioms : 38
% 0.29/1.46 # Removed by relevancy pruning/SinE : 0
% 0.29/1.46 # Initial clauses : 145
% 0.29/1.46 # Removed in clause preprocessing : 5
% 0.29/1.46 # Initial clauses in saturation : 140
% 0.29/1.46 # Processed clauses : 854
% 0.29/1.46 # ...of these trivial : 20
% 0.29/1.46 # ...subsumed : 411
% 0.29/1.46 # ...remaining for further processing : 423
% 0.29/1.46 # Other redundant clauses eliminated : 12
% 0.29/1.46 # Clauses deleted for lack of memory : 0
% 0.29/1.46 # Backward-subsumed : 6
% 0.29/1.46 # Backward-rewritten : 10
% 0.29/1.46 # Generated clauses : 9569
% 0.29/1.46 # ...of the previous two non-trivial : 8792
% 0.29/1.46 # Contextual simplify-reflections : 302
% 0.29/1.46 # Paramodulations : 9521
% 0.29/1.46 # Factorizations : 0
% 0.29/1.46 # Equation resolutions : 39
% 0.29/1.46 # Current number of processed clauses : 404
% 0.29/1.46 # Positive orientable unit clauses : 32
% 0.29/1.46 # Positive unorientable unit clauses: 0
% 0.29/1.46 # Negative unit clauses : 5
% 0.29/1.46 # Non-unit-clauses : 367
% 0.29/1.46 # Current number of unprocessed clauses: 7930
% 0.29/1.46 # ...number of literals in the above : 45982
% 0.29/1.46 # Current number of archived formulas : 0
% 0.29/1.46 # Current number of archived clauses : 16
% 0.29/1.46 # Clause-clause subsumption calls (NU) : 28055
% 0.29/1.46 # Rec. Clause-clause subsumption calls : 9617
% 0.29/1.46 # Non-unit clause-clause subsumptions : 716
% 0.29/1.46 # Unit Clause-clause subsumption calls : 855
% 0.29/1.46 # Rewrite failures with RHS unbound : 0
% 0.29/1.46 # BW rewrite match attempts : 8
% 0.29/1.46 # BW rewrite match successes : 8
% 0.29/1.46 # Condensation attempts : 0
% 0.29/1.46 # Condensation successes : 0
% 0.29/1.46 # Termbank termtop insertions : 196234
% 0.29/1.46
% 0.29/1.46 # -------------------------------------------------
% 0.29/1.46 # User time : 0.188 s
% 0.29/1.46 # System time : 0.005 s
% 0.29/1.46 # Total time : 0.193 s
% 0.29/1.46 # Maximum resident set size: 11932 pages
% 0.31/23.46 eprover: CPU time limit exceeded, terminating
% 0.31/23.46 eprover: CPU time limit exceeded, terminating
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.53 eprover: No such file or directory
% 0.31/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53 eprover: No such file or directory
% 0.31/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.53 eprover: No such file or directory
% 0.31/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------