%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM440+6 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 04:57:20 PM UTC 2026
% Result : Theorem 1.36s 1.76s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 76 ( 11 unt; 0 def)
% Number of atoms : 1101 ( 45 equ)
% Maximal formula atoms : 420 ( 14 avg)
% Number of connectives : 1461 ( 436 ~; 621 |; 317 &)
% ( 37 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 107 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 154 ( 0 sgn 97 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1826,hypothesis,
( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [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(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [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(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(mComplement,axiom,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mComplement) ).
fof(m__,conjecture,
( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& aElementOf0(X1,stldt0(xA))
& aElementOf0(X1,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mUnion,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395) )
=> ! [X3] :
( X3 = sdtbsmnsldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& ( aElementOf0(X4,X1)
| aElementOf0(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnion) ).
fof(c_0_4,plain,
( epred1_0
<=> ( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) ) ) ),
introduced(definition) ).
fof(c_0_5,hypothesis,
( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xA)
& ! [X1] :
( aElementOf0(X1,xA)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) )
& aSet0(xB)
& ! [X1] :
( aElementOf0(X1,xB)
=> aElementOf0(X1,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> ? [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(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> ? [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(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(fof_simplification,[status(thm)],[m__1826]) ).
fof(c_0_6,plain,
( ( ( ( aSet0(stldt0(xA))
& ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [X1] :
( aElementOf0(X1,cS1395)
<=> aInteger0(X1) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
=> aElementOf0(X1,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_7,hypothesis,
! [X219,X220,X221,X222,X223,X224,X226,X228,X229,X230,X231,X232,X234,X236,X237,X238] :
( aSet0(cS1395)
& ( ~ aElementOf0(X219,cS1395)
| aInteger0(X219) )
& ( ~ aInteger0(X219)
| aElementOf0(X219,cS1395) )
& aSet0(xA)
& ( ~ aElementOf0(X220,xA)
| aElementOf0(X220,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ( ~ aElementOf0(X221,cS1395)
| aInteger0(X221) )
& ( ~ aInteger0(X221)
| aElementOf0(X221,cS1395) )
& aSet0(xB)
& ( ~ aElementOf0(X222,xB)
| aElementOf0(X222,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ( aInteger0(X223)
| ~ aElementOf0(X223,stldt0(xA)) )
& ( ~ aElementOf0(X223,xA)
| ~ aElementOf0(X223,stldt0(xA)) )
& ( ~ aInteger0(X223)
| aElementOf0(X223,xA)
| aElementOf0(X223,stldt0(xA)) )
& ( aInteger0(esk15_1(X224))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( esk15_1(X224) != sz00
| ~ aElementOf0(X224,stldt0(xA)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( aInteger0(X226)
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( aInteger0(esk16_2(X224,X226))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( sdtasdt0(esk15_1(X224),esk16_2(X224,X226)) = sdtpldt0(X226,smndt0(X224))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( aDivisorOf0(esk15_1(X224),sdtpldt0(X226,smndt0(X224)))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( sdteqdtlpzmzozddtrp0(X226,X224,esk15_1(X224))
| ~ aElementOf0(X226,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( ~ aInteger0(X229)
| sdtasdt0(esk15_1(X224),X229) != sdtpldt0(X228,smndt0(X224))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( ~ aDivisorOf0(esk15_1(X224),sdtpldt0(X228,smndt0(X224)))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( ~ sdteqdtlpzmzozddtrp0(X228,X224,esk15_1(X224))
| ~ aInteger0(X228)
| aElementOf0(X228,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( ~ aElementOf0(X230,szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)))
| aElementOf0(X230,stldt0(xA))
| ~ aElementOf0(X224,stldt0(xA)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X224,esk15_1(X224)),stldt0(xA))
| ~ aElementOf0(X224,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ( aInteger0(X231)
| ~ aElementOf0(X231,stldt0(xB)) )
& ( ~ aElementOf0(X231,xB)
| ~ aElementOf0(X231,stldt0(xB)) )
& ( ~ aInteger0(X231)
| aElementOf0(X231,xB)
| aElementOf0(X231,stldt0(xB)) )
& ( aInteger0(esk17_1(X232))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( esk17_1(X232) != sz00
| ~ aElementOf0(X232,stldt0(xB)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( aInteger0(X234)
| ~ aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( aInteger0(esk18_2(X232,X234))
| ~ aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( sdtasdt0(esk17_1(X232),esk18_2(X232,X234)) = sdtpldt0(X234,smndt0(X232))
| ~ aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( aDivisorOf0(esk17_1(X232),sdtpldt0(X234,smndt0(X232)))
| ~ aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( sdteqdtlpzmzozddtrp0(X234,X232,esk17_1(X232))
| ~ aElementOf0(X234,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( ~ aInteger0(X237)
| sdtasdt0(esk17_1(X232),X237) != sdtpldt0(X236,smndt0(X232))
| ~ aInteger0(X236)
| aElementOf0(X236,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( ~ aDivisorOf0(esk17_1(X232),sdtpldt0(X236,smndt0(X232)))
| ~ aInteger0(X236)
| aElementOf0(X236,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( ~ sdteqdtlpzmzozddtrp0(X236,X232,esk17_1(X232))
| ~ aInteger0(X236)
| aElementOf0(X236,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( ~ aElementOf0(X238,szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)))
| aElementOf0(X238,stldt0(xB))
| ~ aElementOf0(X232,stldt0(xB)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X232,esk17_1(X232)),stldt0(xB))
| ~ aElementOf0(X232,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
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_5])])])])])]) ).
fof(c_0_8,plain,
! [X244,X245,X247,X248] :
( ( aSet0(stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aInteger0(X244)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X244,xA)
| ~ aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X244)
| aElementOf0(X244,xA)
| aElementOf0(X244,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X245,cS1395)
| aInteger0(X245)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X245)
| aElementOf0(X245,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(esk20_0,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aInteger0(X247)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X247,xB)
| ~ aElementOf0(X247,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X247)
| aElementOf0(X247,xB)
| aElementOf0(X247,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X248,cS1395)
| aInteger0(X248)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X248)
| aElementOf0(X248,cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aElementOf0(esk21_0,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk21_0,cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_9,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( aElementOf0(esk21_0,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aInteger0(esk21_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
! [X1] :
( aSubsetOf0(X1,cS1395)
=> ! [X2] :
( X2 = stldt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aInteger0(X3)
& ~ aElementOf0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mComplement]) ).
cnf(c_0_14,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,hypothesis,
( epred1_0
| aInteger0(esk21_0)
| aInteger0(esk20_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,plain,
! [X196,X197,X198,X199,X200] :
( ( aSet0(X197)
| X197 != stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( aInteger0(X198)
| ~ aElementOf0(X198,X197)
| X197 != stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aElementOf0(X198,X196)
| ~ aElementOf0(X198,X197)
| X197 != stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aInteger0(X199)
| aElementOf0(X199,X196)
| aElementOf0(X199,X197)
| X197 != stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aElementOf0(esk10_2(X196,X200),X200)
| ~ aInteger0(esk10_2(X196,X200))
| aElementOf0(esk10_2(X196,X200),X196)
| ~ aSet0(X200)
| X200 = stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( aInteger0(esk10_2(X196,X200))
| aElementOf0(esk10_2(X196,X200),X200)
| ~ aSet0(X200)
| X200 = stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) )
& ( ~ aElementOf0(esk10_2(X196,X200),X196)
| aElementOf0(esk10_2(X196,X200),X200)
| ~ aSet0(X200)
| X200 = stldt0(X196)
| ~ aSubsetOf0(X196,cS1395) ) ),
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_13])])])])])]) ).
cnf(c_0_17,hypothesis,
( epred1_0
| aElementOf0(esk21_0,cS1395)
| aInteger0(esk20_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,X2)
| X2 != stldt0(X3)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( aElementOf0(esk20_0,stldt0(xA))
| epred1_0
| ~ aElementOf0(esk21_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,hypothesis,
( epred1_0
| aElementOf0(esk21_0,cS1395)
| aElementOf0(esk20_0,cS1395) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,plain,
( aInteger0(X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aElementOf0(X1,stldt0(X2)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(esk20_0,cS1395) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,hypothesis,
aSubsetOf0(xA,cS1395),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( aElementOf0(esk21_0,stldt0(xB))
| epred1_0
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( epred1_0
| aElementOf0(esk20_0,cS1395) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_14]) ).
cnf(c_0_26,plain,
( epred1_0
| aElementOf0(esk21_0,stldt0(xB)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,hypothesis,
aSubsetOf0(xB,cS1395),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_28,negated_conjecture,
~ ( epred1_0
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xA))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
=> ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(X1)
& aElementOf0(X1,stldt0(xA))
& aElementOf0(X1,stldt0(xB)) ) )
| stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]),c_0_4]) ).
cnf(c_0_29,plain,
( epred1_0
| aInteger0(esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_27])]) ).
fof(c_0_30,negated_conjecture,
! [X239,X240,X241,X242] :
( ( aSet0(sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aInteger0(X239)
| ~ aElementOf0(X239,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aElementOf0(X239,xA)
| aElementOf0(X239,xB)
| ~ aElementOf0(X239,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X239,xA)
| ~ aInteger0(X239)
| aElementOf0(X239,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X239,xB)
| ~ aInteger0(X239)
| aElementOf0(X239,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X240)
| ~ aElementOf0(X240,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aElementOf0(X240,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X240,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aInteger0(X240)
| aElementOf0(X240,sdtbsmnsldt0(xA,xB))
| aElementOf0(X240,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X241)
| ~ aElementOf0(X241,stldt0(xA))
| ~ epred1_0 )
& ( ~ aElementOf0(X241,xA)
| ~ aElementOf0(X241,stldt0(xA))
| ~ epred1_0 )
& ( ~ aInteger0(X241)
| aElementOf0(X241,xA)
| aElementOf0(X241,stldt0(xA))
| ~ epred1_0 )
& ( aInteger0(X242)
| ~ aElementOf0(X242,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X242,xB)
| ~ aElementOf0(X242,stldt0(xB))
| ~ epred1_0 )
& ( ~ aInteger0(X242)
| aElementOf0(X242,xB)
| aElementOf0(X242,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0 )
& ( aInteger0(esk19_0)
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk19_0,stldt0(xA))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk19_0,stldt0(xB))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( stldt0(sdtbsmnsldt0(xA,xB)) != sdtslmnbsdt0(stldt0(xA),stldt0(xB))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
cnf(c_0_31,plain,
( epred1_0
| ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,hypothesis,
( epred1_0
| aElementOf0(esk21_0,cS1395) ),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xA))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X171,X172,X173,X174,X175,X176] :
( ( aSet0(X173)
| X173 != sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( aInteger0(X174)
| ~ aElementOf0(X174,X173)
| X173 != sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( aElementOf0(X174,X171)
| aElementOf0(X174,X172)
| ~ aElementOf0(X174,X173)
| X173 != sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( ~ aElementOf0(X175,X171)
| ~ aInteger0(X175)
| aElementOf0(X175,X173)
| X173 != sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( ~ aElementOf0(X175,X172)
| ~ aInteger0(X175)
| aElementOf0(X175,X173)
| X173 != sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( ~ aElementOf0(esk4_3(X171,X172,X176),X171)
| ~ aInteger0(esk4_3(X171,X172,X176))
| ~ aElementOf0(esk4_3(X171,X172,X176),X176)
| ~ aSet0(X176)
| X176 = sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( ~ aElementOf0(esk4_3(X171,X172,X176),X172)
| ~ aInteger0(esk4_3(X171,X172,X176))
| ~ aElementOf0(esk4_3(X171,X172,X176),X176)
| ~ aSet0(X176)
| X176 = sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( aInteger0(esk4_3(X171,X172,X176))
| aElementOf0(esk4_3(X171,X172,X176),X176)
| ~ aSet0(X176)
| X176 = sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) )
& ( aElementOf0(esk4_3(X171,X172,X176),X171)
| aElementOf0(esk4_3(X171,X172,X176),X172)
| aElementOf0(esk4_3(X171,X172,X176),X176)
| ~ aSet0(X176)
| X176 = sdtbsmnsldt0(X171,X172)
| ~ aSubsetOf0(X171,cS1395)
| ~ aSubsetOf0(X172,cS1395) ) ),
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)],[mUnion])])])])])]) ).
cnf(c_0_37,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xB))
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
( aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xA)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34])]) ).
cnf(c_0_40,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X1)
| X3 != sdtbsmnsldt0(X2,X4)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X4,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,negated_conjecture,
( aInteger0(esk19_0)
| aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,negated_conjecture,
( aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk19_0,stldt0(xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_34])]) ).
cnf(c_0_44,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X1)
| X3 != sdtbsmnsldt0(X4,X2)
| ~ aSubsetOf0(X4,cS1395)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
( aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X2,cS1395)
| ~ aElementOf0(X1,X2)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_47,hypothesis,
( aElementOf0(X1,xA)
| aElementOf0(X1,stldt0(xA))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_48,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_34])]) ).
cnf(c_0_49,negated_conjecture,
( aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_34])]) ).
cnf(c_0_50,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xB))
| ~ aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_51,plain,
( aElementOf0(X1,sdtbsmnsldt0(X2,X3))
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395)
| ~ aElementOf0(X1,X3)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_52,hypothesis,
( aElementOf0(X1,xB)
| aElementOf0(X1,stldt0(xB))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_53,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk19_0)
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xA))
| ~ aInteger0(esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_27]),c_0_23])]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
aInteger0(esk19_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( aElementOf0(esk19_0,stldt0(xB))
| ~ aInteger0(esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_23]),c_0_27])]),c_0_52]) ).
cnf(c_0_57,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != stldt0(X2)
| ~ aSubsetOf0(X2,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_59,negated_conjecture,
( ~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk19_0,stldt0(xA))
| ~ aElementOf0(esk19_0,stldt0(xB)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_34])]),c_0_11]) ).
cnf(c_0_60,negated_conjecture,
aElementOf0(esk19_0,stldt0(xA)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_61,negated_conjecture,
aElementOf0(esk19_0,stldt0(xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55])]) ).
cnf(c_0_62,plain,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X2,stldt0(X1))
| ~ aElementOf0(X2,X1) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,X4)
| X4 != sdtbsmnsldt0(X2,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_64,negated_conjecture,
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_34])]) ).
cnf(c_0_65,negated_conjecture,
~ aElementOf0(esk19_0,stldt0(sdtbsmnsldt0(xA,xB))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]),c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
( ~ aElementOf0(esk19_0,xA)
| ~ aInteger0(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_23])]) ).
cnf(c_0_67,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_68,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_69,negated_conjecture,
( ~ aElementOf0(esk19_0,xB)
| ~ aInteger0(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_27])]) ).
cnf(c_0_70,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_71,plain,
( aElementOf0(X1,X2)
| aElementOf0(X1,X3)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X3,cS1395)
| ~ aElementOf0(X1,sdtbsmnsldt0(X3,X2)) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
aElementOf0(esk19_0,sdtbsmnsldt0(xA,xB)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_65]) ).
cnf(c_0_73,hypothesis,
~ aElementOf0(esk19_0,xA),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_74,hypothesis,
~ aElementOf0(esk19_0,xB),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_27]),c_0_23])]),c_0_73]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM440+6 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 00:35:05 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.35 % start to proof: theBenchmark
% 1.36/1.76 % Version : CSE_E---1.7
% 1.36/1.76 % Problem : theBenchmark.p
% 1.36/1.76 % SZS status Theorem for theBenchmark.p
% 1.36/1.76 % SZS output start CNFRefutation
% See solution above
% 1.36/1.76 % Total time : 1.372s
%------------------------------------------------------------------------------