TSTP Solution File: NUM440+6 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:32:27 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 8 unt; 0 def)
% Number of atoms : 902 ( 15 equ)
% Maximal formula atoms : 420 ( 14 avg)
% Number of connectives : 1197 ( 356 ~; 526 |; 251 &)
% ( 27 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 99 ( 14 sgn 76 !; 6 ?)
% 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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1826) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_2,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_3,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_2]) ).
fof(c_0_4,hypothesis,
! [X5,X5,X6,X7,X7,X8,X9,X9,X10,X12,X12,X14,X15,X16,X16,X17,X19,X19,X21,X22] :
( aSet0(cS1395)
& ( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,cS1395) )
& aSet0(xA)
& ( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395) )
& aSet0(xB)
& ( ~ aElementOf0(X8,xB)
| aElementOf0(X8,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(xA)) )
& ( ~ aElementOf0(X9,xA)
| ~ aElementOf0(X9,stldt0(xA)) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,xA)
| aElementOf0(X9,stldt0(xA)) )
& ( aInteger0(esk1_1(X10))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( esk1_1(X10) != sz00
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(X12)
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(esk2_2(X10,X12))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( sdtasdt0(esk1_1(X10),esk2_2(X10,X12)) = sdtpldt0(X12,smndt0(X10))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aDivisorOf0(esk1_1(X10),sdtpldt0(X12,smndt0(X10)))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( sdteqdtlpzmzozddtrp0(X12,X10,esk1_1(X10))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aInteger0(X14)
| sdtasdt0(esk1_1(X10),X14) != sdtpldt0(X12,smndt0(X10))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aDivisorOf0(esk1_1(X10),sdtpldt0(X12,smndt0(X10)))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ sdteqdtlpzmzozddtrp0(X12,X10,esk1_1(X10))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)))
| aElementOf0(X15,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X10,esk1_1(X10)),stldt0(xA))
| ~ aElementOf0(X10,stldt0(xA)) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ( aInteger0(X16)
| ~ aElementOf0(X16,stldt0(xB)) )
& ( ~ aElementOf0(X16,xB)
| ~ aElementOf0(X16,stldt0(xB)) )
& ( ~ aInteger0(X16)
| aElementOf0(X16,xB)
| aElementOf0(X16,stldt0(xB)) )
& ( aInteger0(esk3_1(X17))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( esk3_1(X17) != sz00
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(X19)
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(esk4_2(X17,X19))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( sdtasdt0(esk3_1(X17),esk4_2(X17,X19)) = sdtpldt0(X19,smndt0(X17))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aDivisorOf0(esk3_1(X17),sdtpldt0(X19,smndt0(X17)))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( sdteqdtlpzmzozddtrp0(X19,X17,esk3_1(X17))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aInteger0(X21)
| sdtasdt0(esk3_1(X17),X21) != sdtpldt0(X19,smndt0(X17))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aDivisorOf0(esk3_1(X17),sdtpldt0(X19,smndt0(X17)))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ sdteqdtlpzmzozddtrp0(X19,X17,esk3_1(X17))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aElementOf0(X22,szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)))
| aElementOf0(X22,stldt0(xB))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X17,esk3_1(X17)),stldt0(xB))
| ~ aElementOf0(X17,stldt0(xB)) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
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)],[inference(fof_simplification,[status(thm)],[m__1826])])])])])])])]) ).
fof(c_0_5,plain,
! [X2,X2,X3,X3,X5,X5,X6,X6] :
( ( aSet0(stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( aSet0(cS1395)
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0(esk14_0,stldt0(xA))
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk15_0,cS1395)
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(esk14_0,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( aElementOf0(esk15_0,stldt0(xB))
| ~ aSubsetOf0(stldt0(xA),cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk15_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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])])]) ).
cnf(c_0_6,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( epred1_0
| aElementOf0(esk14_0,stldt0(xA))
| aElementOf0(esk15_0,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,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(assume_negation,[status(cth)],[m__]),c_0_2]) ).
cnf(c_0_9,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,hypothesis,
( epred1_0
| aElementOf0(esk14_0,stldt0(xA))
| aInteger0(esk15_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( epred1_0
| aElementOf0(esk14_0,stldt0(xA))
| ~ aElementOf0(esk15_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_12,negated_conjecture,
! [X2,X2,X3,X3,X4,X4,X5,X5] :
( ( aSet0(sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aElementOf0(X2,xA)
| aElementOf0(X2,xB)
| ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X2,xB)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 )
& ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X3)
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aInteger0(X4)
| ~ aElementOf0(X4,stldt0(xA))
| ~ epred1_0 )
& ( ~ aElementOf0(X4,xA)
| ~ aElementOf0(X4,stldt0(xA))
| ~ epred1_0 )
& ( ~ aInteger0(X4)
| aElementOf0(X4,xA)
| aElementOf0(X4,stldt0(xA))
| ~ epred1_0 )
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| ~ epred1_0 )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| ~ epred1_0 )
& ( ~ aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk5_0)
| ~ aElementOf0(esk5_0,stldt0(xA))
| ~ aElementOf0(esk5_0,stldt0(xB))
| ~ epred1_0 )
& ( aInteger0(esk5_0)
| aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk5_0,stldt0(xA))
| aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk5_0,stldt0(xB))
| aElementOf0(esk5_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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])])])])]) ).
cnf(c_0_13,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,hypothesis,
( epred1_0
| aInteger0(esk15_0)
| aInteger0(esk14_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,hypothesis,
( epred1_0
| aInteger0(esk14_0)
| ~ aElementOf0(esk15_0,cS1395) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(esk5_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( aInteger0(X1)
| ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( epred1_0
| aElementOf0(esk15_0,stldt0(xB))
| ~ aElementOf0(esk14_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,hypothesis,
( epred1_0
| aInteger0(esk14_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk5_0,stldt0(xB))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( aInteger0(esk5_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,hypothesis,
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,hypothesis,
( epred1_0
| aInteger0(esk15_0)
| ~ aElementOf0(esk14_0,cS1395) ),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_26,hypothesis,
( epred1_0
| aElementOf0(esk14_0,cS1395) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(esk5_0,stldt0(xB))
| ~ epred1_0
| ~ aElementOf0(esk5_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(esk5_0,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aElementOf0(esk5_0,xB) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,hypothesis,
( aElementOf0(esk5_0,stldt0(xB))
| aElementOf0(esk5_0,xB)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_30,plain,
( epred1_0
| ~ aElementOf0(esk14_0,cS1395)
| ~ aElementOf0(esk15_0,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,hypothesis,
( epred1_0
| aElementOf0(esk15_0,cS1395) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk5_0,stldt0(xA))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,hypothesis,
( aInteger0(X1)
| ~ aElementOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,hypothesis,
( aElementOf0(X1,cS1395)
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,stldt0(xA))
| aElementOf0(X1,xA)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk5_0,stldt0(xB))
| ~ aElementOf0(esk5_0,stldt0(xA))
| ~ aInteger0(esk5_0)
| ~ aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
( aElementOf0(esk5_0,stldt0(xB))
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_39,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(esk5_0,stldt0(xA))
| ~ epred1_0
| ~ aElementOf0(esk5_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[c_0_20,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aElementOf0(X1,xA) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,hypothesis,
( aElementOf0(esk5_0,stldt0(xA))
| aElementOf0(esk5_0,xA)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_23]) ).
cnf(c_0_43,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk5_0,stldt0(xA))
| ~ aElementOf0(esk5_0,stldt0(xB)) ),
inference(csr,[status(thm)],[c_0_37,c_0_9]) ).
cnf(c_0_44,negated_conjecture,
aElementOf0(esk5_0,stldt0(xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(esk5_0,stldt0(xA))
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
( ~ aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk5_0,stldt0(xA)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_39])]),c_0_44])]) ).
cnf(c_0_48,negated_conjecture,
aElementOf0(esk5_0,stldt0(xA)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_39])]) ).
cnf(c_0_49,hypothesis,
( ~ aElementOf0(X1,stldt0(xA))
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,hypothesis,
( ~ aElementOf0(X1,stldt0(xB))
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,negated_conjecture,
( aElementOf0(X1,xB)
| aElementOf0(X1,xA)
| ~ epred1_0
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,negated_conjecture,
( aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk5_0,sdtbsmnsldt0(xA,xB))
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_53,negated_conjecture,
~ aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_54,hypothesis,
( ~ epred1_0
| ~ aElementOf0(esk5_0,xA) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_55,hypothesis,
( ~ epred1_0
| ~ aElementOf0(esk5_0,xB) ),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_56,negated_conjecture,
( aElementOf0(X1,xA)
| aElementOf0(X1,xB)
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_39])]) ).
cnf(c_0_57,negated_conjecture,
aElementOf0(esk5_0,sdtbsmnsldt0(xA,xB)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_39])]),c_0_53]) ).
cnf(c_0_58,hypothesis,
~ aElementOf0(esk5_0,xA),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_39])]) ).
cnf(c_0_59,hypothesis,
~ aElementOf0(esk5_0,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_39])]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM440+6 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.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 : 600
% 0.13/0.34 % DateTime : Wed Jul 6 21:54:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.038 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 61
% 0.25/1.42 # Proof object clause steps : 53
% 0.25/1.42 # Proof object formula steps : 8
% 0.25/1.42 # Proof object conjectures : 29
% 0.25/1.42 # Proof object clause conjectures : 26
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 23
% 0.25/1.42 # Proof object initial formulas used : 2
% 0.25/1.42 # Proof object generating inferences : 20
% 0.25/1.42 # Proof object simplifying inferences : 29
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 40
% 0.25/1.42 # Removed by relevancy pruning/SinE : 8
% 0.25/1.42 # Initial clauses : 246
% 0.25/1.42 # Removed in clause preprocessing : 3
% 0.25/1.42 # Initial clauses in saturation : 243
% 0.25/1.42 # Processed clauses : 364
% 0.25/1.42 # ...of these trivial : 42
% 0.25/1.42 # ...subsumed : 100
% 0.25/1.42 # ...remaining for further processing : 222
% 0.25/1.42 # Other redundant clauses eliminated : 1
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 22
% 0.25/1.42 # Backward-rewritten : 39
% 0.25/1.42 # Generated clauses : 600
% 0.25/1.42 # ...of the previous two non-trivial : 540
% 0.25/1.42 # Contextual simplify-reflections : 168
% 0.25/1.42 # Paramodulations : 581
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 19
% 0.25/1.42 # Current number of processed clauses : 161
% 0.25/1.42 # Positive orientable unit clauses : 23
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 4
% 0.25/1.42 # Non-unit-clauses : 134
% 0.25/1.42 # Current number of unprocessed clauses: 333
% 0.25/1.42 # ...number of literals in the above : 1771
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 61
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 5371
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 2840
% 0.25/1.42 # Non-unit clause-clause subsumptions : 288
% 0.25/1.42 # Unit Clause-clause subsumption calls : 308
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 3
% 0.25/1.42 # BW rewrite match successes : 3
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 24764
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.101 s
% 0.25/1.42 # System time : 0.004 s
% 0.25/1.42 # Total time : 0.105 s
% 0.25/1.42 # Maximum resident set size: 4280 pages
%------------------------------------------------------------------------------