TSTP Solution File: NUM441+6 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:32:28 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 450 ( 35 equ)
% Maximal formula atoms : 116 ( 26 avg)
% Number of connectives : 600 ( 167 ~; 177 |; 212 &)
% ( 17 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 71 ( 17 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-2 aty)
% Number of variables : 99 ( 18 sgn 85 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( 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(sdtbsmnsldt0(xA,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(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mInterOpen,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,cS1395)
& aSubsetOf0(X2,cS1395)
& isOpen0(X1)
& isOpen0(X2) )
=> isOpen0(sdtslmnbsdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mInterOpen) ).
fof(m__1883,hypothesis,
( 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__1883) ).
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(c_0_4,negated_conjecture,
~ ( ( 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(sdtbsmnsldt0(xA,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(sdtbsmnsldt0(xA,xB))) )
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,X2),stldt0(sdtbsmnsldt0(xA,xB))) ) ) ) )
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ) )
| isClosed0(sdtbsmnsldt0(xA,xB)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,plain,
! [X3,X4] :
( ~ aSubsetOf0(X3,cS1395)
| ~ aSubsetOf0(X4,cS1395)
| ~ isOpen0(X3)
| ~ isOpen0(X4)
| isOpen0(sdtslmnbsdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mInterOpen])]) ).
fof(c_0_6,hypothesis,
! [X2,X2,X3,X3,X4,X5,X5,X6,X6,X7,X8,X8,X9,X9,X10,X10,X11,X11,X12,X12] :
( aSet0(stldt0(xA))
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA)) )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA)) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA)) )
& aSet0(cS1395)
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395) )
& ( ~ aElementOf0(X4,stldt0(xA))
| aElementOf0(X4,cS1395) )
& aSubsetOf0(stldt0(xA),cS1395)
& aSet0(stldt0(xB))
& ( aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB)) )
& ( ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB)) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) )
& aSet0(cS1395)
& ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395) )
& ( ~ aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,cS1395) )
& aSubsetOf0(stldt0(xB),cS1395)
& aSet0(sdtbsmnsldt0(xA,xB))
& ( aInteger0(X8)
| ~ aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X8,xA)
| aElementOf0(X8,xB)
| ~ aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
& ( ~ aElementOf0(X8,xA)
| ~ aInteger0(X8)
| aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
& ( ~ aElementOf0(X8,xB)
| ~ aInteger0(X8)
| aElementOf0(X8,sdtbsmnsldt0(xA,xB)) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ aElementOf0(X9,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X9,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,sdtbsmnsldt0(xA,xB))
| aElementOf0(X9,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aInteger0(X10)
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aElementOf0(X10,xA)
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aInteger0(X10)
| aElementOf0(X10,xA)
| aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,stldt0(xB)) )
& ( ~ aElementOf0(X11,xB)
| ~ aElementOf0(X11,stldt0(xB)) )
& ( ~ aInteger0(X11)
| aElementOf0(X11,xB)
| aElementOf0(X11,stldt0(xB)) )
& ( aInteger0(X12)
| ~ aElementOf0(X12,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X12,stldt0(xA))
| ~ aElementOf0(X12,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( aElementOf0(X12,stldt0(xB))
| ~ aElementOf0(X12,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ aInteger0(X12)
| ~ aElementOf0(X12,stldt0(xA))
| ~ aElementOf0(X12,stldt0(xB))
| aElementOf0(X12,stldt0(sdtbsmnsldt0(xA,xB))) )
& stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1883])])])])])])]) ).
fof(c_0_7,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_8,negated_conjecture,
! [X5,X5,X6,X6,X8,X9,X9,X11] :
( aSet0(sdtbsmnsldt0(xA,xB))
& ( aInteger0(X5)
| ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& ( aElementOf0(X5,xA)
| aElementOf0(X5,xB)
| ~ aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& ( ~ aElementOf0(X5,xA)
| ~ aInteger0(X5)
| aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& ( ~ aElementOf0(X5,xB)
| ~ aInteger0(X5)
| aElementOf0(X5,sdtbsmnsldt0(xA,xB)) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ( aInteger0(X6)
| ~ aElementOf0(X6,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X6,stldt0(sdtbsmnsldt0(xA,xB))) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,sdtbsmnsldt0(xA,xB))
| aElementOf0(X6,stldt0(sdtbsmnsldt0(xA,xB))) )
& aElementOf0(esk5_0,stldt0(sdtbsmnsldt0(xA,xB)))
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( aInteger0(X9)
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( aInteger0(esk6_2(X8,X9))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( sdtasdt0(X8,esk6_2(X8,X9)) = sdtpldt0(X9,smndt0(esk5_0))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( aDivisorOf0(X8,sdtpldt0(X9,smndt0(esk5_0)))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X9,esk5_0,X8)
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( ~ aInteger0(X11)
| sdtasdt0(X8,X11) != sdtpldt0(X9,smndt0(esk5_0))
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( ~ aDivisorOf0(X8,sdtpldt0(X9,smndt0(esk5_0)))
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( ~ sdteqdtlpzmzozddtrp0(X9,esk5_0,X8)
| ~ aInteger0(X9)
| aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( aElementOf0(esk7_1(X8),szAzrzSzezqlpdtcmdtrp0(esk5_0,X8))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( ~ aElementOf0(esk7_1(X8),stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X8)
| X8 = sz00 )
& ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk5_0,X8),stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X8)
| X8 = sz00 )
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ~ isClosed0(sdtbsmnsldt0(xA,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)],[c_0_4])])])])])])])]) ).
cnf(c_0_9,plain,
( isOpen0(sdtslmnbsdt0(X1,X2))
| ~ isOpen0(X2)
| ~ isOpen0(X1)
| ~ aSubsetOf0(X2,cS1395)
| ~ aSubsetOf0(X1,cS1395) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
isOpen0(stldt0(xB)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
isOpen0(stldt0(xA)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
aSubsetOf0(stldt0(xB),cS1395),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,hypothesis,
aSubsetOf0(stldt0(xA),cS1395),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 07:41:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.034 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 17
% 0.23/1.40 # Proof object clause steps : 8
% 0.23/1.40 # Proof object formula steps : 9
% 0.23/1.40 # Proof object conjectures : 4
% 0.23/1.40 # Proof object clause conjectures : 1
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 7
% 0.23/1.40 # Proof object initial formulas used : 4
% 0.23/1.40 # Proof object generating inferences : 1
% 0.23/1.40 # Proof object simplifying inferences : 6
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 41
% 0.23/1.40 # Removed by relevancy pruning/SinE : 8
% 0.23/1.40 # Initial clauses : 188
% 0.23/1.40 # Removed in clause preprocessing : 3
% 0.23/1.40 # Initial clauses in saturation : 185
% 0.23/1.40 # Processed clauses : 136
% 0.23/1.40 # ...of these trivial : 7
% 0.23/1.40 # ...subsumed : 26
% 0.23/1.40 # ...remaining for further processing : 103
% 0.23/1.40 # Other redundant clauses eliminated : 1
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 0
% 0.23/1.40 # Generated clauses : 226
% 0.23/1.40 # ...of the previous two non-trivial : 193
% 0.23/1.40 # Contextual simplify-reflections : 1
% 0.23/1.40 # Paramodulations : 220
% 0.23/1.40 # Factorizations : 0
% 0.23/1.40 # Equation resolutions : 6
% 0.23/1.40 # Current number of processed clauses : 103
% 0.23/1.40 # Positive orientable unit clauses : 18
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 2
% 0.23/1.40 # Non-unit-clauses : 83
% 0.23/1.40 # Current number of unprocessed clauses: 242
% 0.23/1.40 # ...number of literals in the above : 988
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 0
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 1295
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 718
% 0.23/1.40 # Non-unit clause-clause subsumptions : 27
% 0.23/1.40 # Unit Clause-clause subsumption calls : 1
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 0
% 0.23/1.40 # BW rewrite match successes : 0
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 15933
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.052 s
% 0.23/1.40 # System time : 0.003 s
% 0.23/1.40 # Total time : 0.055 s
% 0.23/1.40 # Maximum resident set size: 3880 pages
%------------------------------------------------------------------------------