%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM437+5 : 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 : n007.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 04:57:20 PM UTC 2026
% Result : Theorem 2.11s 1.95s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 2 unt; 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 predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 92 ( 4 sgn 43 !; 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/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/sandbox/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,
! [X211,X212,X213,X214,X215,X217,X219,X220,X221] :
( ( aSet0(cS1395)
| ~ epred1_1(X211) )
& ( ~ aElementOf0(X212,cS1395)
| aInteger0(X212)
| ~ epred1_1(X211) )
& ( ~ aInteger0(X213)
| aElementOf0(X213,cS1395)
| ~ epred1_1(X211) )
& ( aSet0(X211)
| ~ epred1_1(X211) )
& ( ~ aElementOf0(X214,X211)
| aElementOf0(X214,cS1395)
| ~ epred1_1(X211) )
& ( aSubsetOf0(X211,cS1395)
| ~ epred1_1(X211) )
& ( aInteger0(esk18_2(X211,X215))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( esk18_2(X211,X215) != sz00
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( aInteger0(X217)
| ~ aElementOf0(X217,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( aInteger0(esk19_3(X211,X215,X217))
| ~ aElementOf0(X217,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( sdtasdt0(esk18_2(X211,X215),esk19_3(X211,X215,X217)) = sdtpldt0(X217,smndt0(X215))
| ~ aElementOf0(X217,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( aDivisorOf0(esk18_2(X211,X215),sdtpldt0(X217,smndt0(X215)))
| ~ aElementOf0(X217,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( sdteqdtlpzmzozddtrp0(X217,X215,esk18_2(X211,X215))
| ~ aElementOf0(X217,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( ~ aInteger0(X220)
| sdtasdt0(esk18_2(X211,X215),X220) != sdtpldt0(X219,smndt0(X215))
| ~ aInteger0(X219)
| aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( ~ aDivisorOf0(esk18_2(X211,X215),sdtpldt0(X219,smndt0(X215)))
| ~ aInteger0(X219)
| aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( ~ sdteqdtlpzmzozddtrp0(X219,X215,esk18_2(X211,X215))
| ~ aInteger0(X219)
| aElementOf0(X219,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( ~ aElementOf0(X221,szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)))
| aElementOf0(X221,X211)
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X215,esk18_2(X211,X215)),X211)
| ~ aElementOf0(X215,X211)
| ~ epred1_1(X211) )
& ( isOpen0(X211)
| ~ epred1_1(X211) ) ),
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,
! [X201,X203,X204,X206,X207,X209] :
( aSet0(sbsmnsldt0(xS))
& ( aInteger0(X201)
| ~ aElementOf0(X201,sbsmnsldt0(xS)) )
& ( aElementOf0(esk14_1(X201),xS)
| ~ aElementOf0(X201,sbsmnsldt0(xS)) )
& ( aElementOf0(X201,esk14_1(X201))
| ~ aElementOf0(X201,sbsmnsldt0(xS)) )
& ( ~ aInteger0(X203)
| ~ aElementOf0(X204,xS)
| ~ aElementOf0(X203,X204)
| aElementOf0(X203,sbsmnsldt0(xS)) )
& aElementOf0(esk15_0,sbsmnsldt0(xS))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( aInteger0(X207)
| ~ aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( aInteger0(esk16_2(X206,X207))
| ~ aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( sdtasdt0(X206,esk16_2(X206,X207)) = sdtpldt0(X207,smndt0(esk15_0))
| ~ aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( aDivisorOf0(X206,sdtpldt0(X207,smndt0(esk15_0)))
| ~ aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X207,esk15_0,X206)
| ~ aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( ~ aInteger0(X209)
| sdtasdt0(X206,X209) != sdtpldt0(X207,smndt0(esk15_0))
| ~ aInteger0(X207)
| aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( ~ aDivisorOf0(X206,sdtpldt0(X207,smndt0(esk15_0)))
| ~ aInteger0(X207)
| aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X207,esk15_0,X206)
| ~ aInteger0(X207)
| aElementOf0(X207,szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( aElementOf0(esk17_1(X206),szAzrzSzezqlpdtcmdtrp0(esk15_0,X206))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( ~ aElementOf0(esk17_1(X206),sbsmnsldt0(xS))
| ~ aInteger0(X206)
| X206 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk15_0,X206),sbsmnsldt0(xS))
| ~ aInteger0(X206)
| X206 = 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,
! [X200] :
( aSet0(xS)
& ( ~ aElementOf0(X200,xS)
| epred1_1(X200) ) ),
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 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 : n007.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 00:33:09 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 2.11/1.95 % Version : CSE_E---1.7
% 2.11/1.95 % Problem : theBenchmark.p
% 2.11/1.95 % SZS status Theorem for theBenchmark.p
% 2.11/1.95 % SZS output start CNFRefutation
% See solution above
% 2.11/1.95 % Total time : 1.368s
%------------------------------------------------------------------------------