TSTP Solution File: NUM440+6 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM440+6 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n139.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:20 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 95 ( 8 unt; 0 def)
% Number of atoms : 1662 ( 0 equ)
% Maximal formula atoms : 420 ( 17 avg)
% Number of connectives : 2223 ( 656 ~; 797 |; 665 &)
% ( 44 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 223 ( 0 sgn 178 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(16,axiom,
( 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)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(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)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(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/tmp/tmp9Af13j/sel_theBenchmark.p_1',m__1826) ).
fof(25,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)) ) )
| equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp9Af13j/sel_theBenchmark.p_1',m__) ).
fof(41,negated_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)) ) )
| equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(43,plain,
( 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)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(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)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
=> ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ( aInteger0(X3)
& ( ? [X4] :
( aInteger0(X4)
& equal(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)],[16,theory(equality)]) ).
fof(44,negated_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)) ) )
| equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(45,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 ),
introduced(definition) ).
fof(46,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)) ) )
| equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ) ) ) ) ),
inference(apply_def,[status(esa)],[44,45,theory(equality)]) ).
fof(130,plain,
( aSet0(cS1395)
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& aSet0(xA)
& ! [X1] :
( ~ aElementOf0(X1,xA)
| aElementOf0(X1,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& 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) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xA)
| aElementOf0(X1,stldt0(xA)) ) )
& ! [X1] :
( ~ aElementOf0(X1,stldt0(xA))
| ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(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) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xB)
| aElementOf0(X1,stldt0(xB)) ) )
& ! [X1] :
( ~ aElementOf0(X1,stldt0(xB))
| ? [X2] :
( aInteger0(X2)
& ~ equal(X2,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
& ! [X3] :
( ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ( aInteger0(X3)
& ? [X4] :
( aInteger0(X4)
& equal(sdtasdt0(X2,X4),sdtpldt0(X3,smndt0(X1))) )
& aDivisorOf0(X2,sdtpldt0(X3,smndt0(X1)))
& sdteqdtlpzmzozddtrp0(X3,X1,X2) ) )
& ( ~ aInteger0(X3)
| ( ! [X4] :
( ~ aInteger0(X4)
| ~ equal(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_nnf,[status(thm)],[43]) ).
fof(131,plain,
( aSet0(cS1395)
& ! [X5] :
( ( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,cS1395) ) )
& aSet0(xA)
& ! [X6] :
( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X7] :
( ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395) ) )
& aSet0(xB)
& ! [X8] :
( ~ aElementOf0(X8,xB)
| aElementOf0(X8,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(xA))
| ( aInteger0(X9)
& ~ aElementOf0(X9,xA) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,xA)
| aElementOf0(X9,stldt0(xA)) ) )
& ! [X10] :
( ~ aElementOf0(X10,stldt0(xA))
| ? [X11] :
( aInteger0(X11)
& ~ equal(X11,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X10,X11))
& ! [X12] :
( ( ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,X11))
| ( aInteger0(X12)
& ? [X13] :
( aInteger0(X13)
& equal(sdtasdt0(X11,X13),sdtpldt0(X12,smndt0(X10))) )
& aDivisorOf0(X11,sdtpldt0(X12,smndt0(X10)))
& sdteqdtlpzmzozddtrp0(X12,X10,X11) ) )
& ( ~ aInteger0(X12)
| ( ! [X14] :
( ~ aInteger0(X14)
| ~ equal(sdtasdt0(X11,X14),sdtpldt0(X12,smndt0(X10))) )
& ~ aDivisorOf0(X11,sdtpldt0(X12,smndt0(X10)))
& ~ sdteqdtlpzmzozddtrp0(X12,X10,X11) )
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,X11)) ) )
& ! [X15] :
( ~ aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X10,X11))
| aElementOf0(X15,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X10,X11),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X16] :
( ( ~ aElementOf0(X16,stldt0(xB))
| ( aInteger0(X16)
& ~ aElementOf0(X16,xB) ) )
& ( ~ aInteger0(X16)
| aElementOf0(X16,xB)
| aElementOf0(X16,stldt0(xB)) ) )
& ! [X17] :
( ~ aElementOf0(X17,stldt0(xB))
| ? [X18] :
( aInteger0(X18)
& ~ equal(X18,sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X17,X18))
& ! [X19] :
( ( ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,X18))
| ( aInteger0(X19)
& ? [X20] :
( aInteger0(X20)
& equal(sdtasdt0(X18,X20),sdtpldt0(X19,smndt0(X17))) )
& aDivisorOf0(X18,sdtpldt0(X19,smndt0(X17)))
& sdteqdtlpzmzozddtrp0(X19,X17,X18) ) )
& ( ~ aInteger0(X19)
| ( ! [X21] :
( ~ aInteger0(X21)
| ~ equal(sdtasdt0(X18,X21),sdtpldt0(X19,smndt0(X17))) )
& ~ aDivisorOf0(X18,sdtpldt0(X19,smndt0(X17)))
& ~ sdteqdtlpzmzozddtrp0(X19,X17,X18) )
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,X18)) ) )
& ! [X22] :
( ~ aElementOf0(X22,szAzrzSzezqlpdtcmdtrp0(X17,X18))
| aElementOf0(X22,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X17,X18),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
( aSet0(cS1395)
& ! [X5] :
( ( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,cS1395) ) )
& aSet0(xA)
& ! [X6] :
( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [X7] :
( ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395) ) )
& aSet0(xB)
& ! [X8] :
( ~ aElementOf0(X8,xB)
| aElementOf0(X8,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [X9] :
( ( ~ aElementOf0(X9,stldt0(xA))
| ( aInteger0(X9)
& ~ aElementOf0(X9,xA) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,xA)
| aElementOf0(X9,stldt0(xA)) ) )
& ! [X10] :
( ~ aElementOf0(X10,stldt0(xA))
| ( aInteger0(esk5_1(X10))
& ~ equal(esk5_1(X10),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
& ! [X12] :
( ( ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ( aInteger0(X12)
& aInteger0(esk6_2(X10,X12))
& equal(sdtasdt0(esk5_1(X10),esk6_2(X10,X12)),sdtpldt0(X12,smndt0(X10)))
& aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
& sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10)) ) )
& ( ~ aInteger0(X12)
| ( ! [X14] :
( ~ aInteger0(X14)
| ~ equal(sdtasdt0(esk5_1(X10),X14),sdtpldt0(X12,smndt0(X10))) )
& ~ aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
& ~ sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10)) )
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10))) ) )
& ! [X15] :
( ~ aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| aElementOf0(X15,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [X16] :
( ( ~ aElementOf0(X16,stldt0(xB))
| ( aInteger0(X16)
& ~ aElementOf0(X16,xB) ) )
& ( ~ aInteger0(X16)
| aElementOf0(X16,xB)
| aElementOf0(X16,stldt0(xB)) ) )
& ! [X17] :
( ~ aElementOf0(X17,stldt0(xB))
| ( aInteger0(esk7_1(X17))
& ~ equal(esk7_1(X17),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
& ! [X19] :
( ( ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ( aInteger0(X19)
& aInteger0(esk8_2(X17,X19))
& equal(sdtasdt0(esk7_1(X17),esk8_2(X17,X19)),sdtpldt0(X19,smndt0(X17)))
& aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
& sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17)) ) )
& ( ~ aInteger0(X19)
| ( ! [X21] :
( ~ aInteger0(X21)
| ~ equal(sdtasdt0(esk7_1(X17),X21),sdtpldt0(X19,smndt0(X17))) )
& ~ aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
& ~ sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17)) )
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17))) ) )
& ! [X22] :
( ~ aElementOf0(X22,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| aElementOf0(X22,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(skolemize,[status(esa)],[131]) ).
fof(133,plain,
! [X5,X6,X7,X8,X9,X10,X12,X14,X15,X16,X17,X19,X21,X22] :
( ( ( ( ~ aElementOf0(X22,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| aElementOf0(X22,stldt0(xB)) )
& ( ( ( ~ aInteger0(X21)
| ~ equal(sdtasdt0(esk7_1(X17),X21),sdtpldt0(X19,smndt0(X17))) )
& ~ aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
& ~ sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17)) )
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17))) )
& ( ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ( aInteger0(X19)
& aInteger0(esk8_2(X17,X19))
& equal(sdtasdt0(esk7_1(X17),esk8_2(X17,X19)),sdtpldt0(X19,smndt0(X17)))
& aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
& sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17)) ) )
& aInteger0(esk7_1(X17))
& ~ equal(esk7_1(X17),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)),stldt0(xB)) )
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aElementOf0(X16,stldt0(xB))
| ( aInteger0(X16)
& ~ aElementOf0(X16,xB) ) )
& ( ~ aInteger0(X16)
| aElementOf0(X16,xB)
| aElementOf0(X16,stldt0(xB)) )
& ( ( ( ~ aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| aElementOf0(X15,stldt0(xA)) )
& ( ( ( ~ aInteger0(X14)
| ~ equal(sdtasdt0(esk5_1(X10),X14),sdtpldt0(X12,smndt0(X10))) )
& ~ aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
& ~ sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10)) )
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10))) )
& ( ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ( aInteger0(X12)
& aInteger0(esk6_2(X10,X12))
& equal(sdtasdt0(esk5_1(X10),esk6_2(X10,X12)),sdtpldt0(X12,smndt0(X10)))
& aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
& sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10)) ) )
& aInteger0(esk5_1(X10))
& ~ equal(esk5_1(X10),sz00)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)),stldt0(xA)) )
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aElementOf0(X9,stldt0(xA))
| ( aInteger0(X9)
& ~ aElementOf0(X9,xA) ) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,xA)
| aElementOf0(X9,stldt0(xA)) )
& ( ~ aElementOf0(X8,xB)
| aElementOf0(X8,cS1395) )
& ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395) )
& ( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
& ( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,cS1395) )
& aSet0(cS1395)
& aSet0(xA)
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& aSet0(xB)
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(shift_quantors,[status(thm)],[132]) ).
fof(134,plain,
! [X5,X6,X7,X8,X9,X10,X12,X14,X15,X16,X17,X19,X21,X22] :
( ( ~ aElementOf0(X22,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| aElementOf0(X22,stldt0(xB))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aInteger0(X21)
| ~ equal(sdtasdt0(esk7_1(X17),X21),sdtpldt0(X19,smndt0(X17)))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17))
| ~ aInteger0(X19)
| aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(X19)
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(esk8_2(X17,X19))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( equal(sdtasdt0(esk7_1(X17),esk8_2(X17,X19)),sdtpldt0(X19,smndt0(X17)))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aDivisorOf0(esk7_1(X17),sdtpldt0(X19,smndt0(X17)))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( sdteqdtlpzmzozddtrp0(X19,X17,esk7_1(X17))
| ~ aElementOf0(X19,szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(esk7_1(X17))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( ~ equal(esk7_1(X17),sz00)
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X17,esk7_1(X17)),stldt0(xB))
| ~ aElementOf0(X17,stldt0(xB)) )
& ( aInteger0(X16)
| ~ aElementOf0(X16,stldt0(xB)) )
& ( ~ aElementOf0(X16,xB)
| ~ aElementOf0(X16,stldt0(xB)) )
& ( ~ aInteger0(X16)
| aElementOf0(X16,xB)
| aElementOf0(X16,stldt0(xB)) )
& ( ~ aElementOf0(X15,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| aElementOf0(X15,stldt0(xA))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aInteger0(X14)
| ~ equal(sdtasdt0(esk5_1(X10),X14),sdtpldt0(X12,smndt0(X10)))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10))
| ~ aInteger0(X12)
| aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(X12)
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(esk6_2(X10,X12))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( equal(sdtasdt0(esk5_1(X10),esk6_2(X10,X12)),sdtpldt0(X12,smndt0(X10)))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aDivisorOf0(esk5_1(X10),sdtpldt0(X12,smndt0(X10)))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( sdteqdtlpzmzozddtrp0(X12,X10,esk5_1(X10))
| ~ aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(esk5_1(X10))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( ~ equal(esk5_1(X10),sz00)
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aSet0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X10,esk5_1(X10)),stldt0(xA))
| ~ aElementOf0(X10,stldt0(xA)) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,stldt0(xA)) )
& ( ~ aElementOf0(X9,xA)
| ~ aElementOf0(X9,stldt0(xA)) )
& ( ~ aInteger0(X9)
| aElementOf0(X9,xA)
| aElementOf0(X9,stldt0(xA)) )
& ( ~ aElementOf0(X8,xB)
| aElementOf0(X8,cS1395) )
& ( ~ aElementOf0(X7,cS1395)
| aInteger0(X7) )
& ( ~ aInteger0(X7)
| aElementOf0(X7,cS1395) )
& ( ~ aElementOf0(X6,xA)
| aElementOf0(X6,cS1395) )
& ( ~ aElementOf0(X5,cS1395)
| aInteger0(X5) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,cS1395) )
& aSet0(cS1395)
& aSet0(xA)
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& aSet0(xB)
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
inference(distribute,[status(thm)],[133]) ).
cnf(147,plain,
( aElementOf0(X1,cS1395)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(153,plain,
( aElementOf0(X1,stldt0(xA))
| aElementOf0(X1,xA)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(154,plain,
( ~ aElementOf0(X1,stldt0(xA))
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(155,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(169,plain,
( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(170,plain,
( ~ aElementOf0(X1,stldt0(xB))
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[134]) ).
cnf(171,plain,
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xB)) ),
inference(split_conjunct,[status(thm)],[134]) ).
fof(261,negated_conjecture,
( ~ epred1_0
| ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ( aInteger0(X1)
& ( aElementOf0(X1,xA)
| aElementOf0(X1,xB) ) ) )
& ( ~ aInteger0(X1)
| ( ~ aElementOf0(X1,xA)
& ~ aElementOf0(X1,xB) )
| aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X1)
& ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(xA))
| ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xA)
| aElementOf0(X1,stldt0(xA)) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(xB))
| ( aInteger0(X1)
& ~ aElementOf0(X1,xB) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xB)
| aElementOf0(X1,stldt0(xB)) ) )
& ? [X1] :
( ( ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X1)
| ~ aElementOf0(X1,stldt0(xA))
| ~ aElementOf0(X1,stldt0(xB)) )
& ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X1)
& aElementOf0(X1,stldt0(xA))
& aElementOf0(X1,stldt0(xB)) ) ) )
& ~ equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(262,negated_conjecture,
( ~ epred1_0
| ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ( aInteger0(X2)
& ( aElementOf0(X2,xA)
| aElementOf0(X2,xB) ) ) )
& ( ~ aInteger0(X2)
| ( ~ aElementOf0(X2,xA)
& ~ aElementOf0(X2,xB) )
| aElementOf0(X2,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X3)
& ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ( ~ aInteger0(X4)
| aElementOf0(X4,xA)
| aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) ) )
& ? [X6] :
( ( ~ aElementOf0(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(X6)
| ~ aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,stldt0(xB)) )
& ( aElementOf0(X6,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X6)
& aElementOf0(X6,stldt0(xA))
& aElementOf0(X6,stldt0(xB)) ) ) )
& ~ equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ),
inference(variable_rename,[status(thm)],[261]) ).
fof(263,negated_conjecture,
( ~ epred1_0
| ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ( aInteger0(X2)
& ( aElementOf0(X2,xA)
| aElementOf0(X2,xB) ) ) )
& ( ~ aInteger0(X2)
| ( ~ aElementOf0(X2,xA)
& ~ aElementOf0(X2,xB) )
| aElementOf0(X2,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X3)
& ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,stldt0(xA))
| ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ( ~ aInteger0(X4)
| aElementOf0(X4,xA)
| aElementOf0(X4,stldt0(xA)) ) )
& ! [X5] :
( ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) ) )
& ( ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk17_0)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) )
& ( aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(esk17_0)
& aElementOf0(esk17_0,stldt0(xA))
& aElementOf0(esk17_0,stldt0(xB)) ) )
& ~ equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB))) ) ),
inference(skolemize,[status(esa)],[262]) ).
fof(264,negated_conjecture,
! [X2,X3,X4,X5] :
( ( ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) )
& ( ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk17_0)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) )
& ( aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(esk17_0)
& aElementOf0(esk17_0,stldt0(xA))
& aElementOf0(esk17_0,stldt0(xB)) ) )
& ~ equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(xB)))
& ( ~ aElementOf0(X4,stldt0(xA))
| ( aInteger0(X4)
& ~ aElementOf0(X4,xA) ) )
& ( ~ aInteger0(X4)
| aElementOf0(X4,xA)
| aElementOf0(X4,stldt0(xA)) )
& ( ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| ( aInteger0(X3)
& ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB)) ) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ( ~ aElementOf0(X2,sdtbsmnsldt0(xA,xB))
| ( aInteger0(X2)
& ( aElementOf0(X2,xA)
| aElementOf0(X2,xB) ) ) )
& ( ~ aInteger0(X2)
| ( ~ aElementOf0(X2,xA)
& ~ aElementOf0(X2,xB) )
| aElementOf0(X2,sdtbsmnsldt0(xA,xB)) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[263]) ).
fof(265,negated_conjecture,
! [X2,X3,X4,X5] :
( ( 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(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aInteger0(esk17_0)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB))
| ~ epred1_0 )
& ( aInteger0(esk17_0)
| aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk17_0,stldt0(xA))
| aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( aElementOf0(esk17_0,stldt0(xB))
| aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ epred1_0 )
& ( ~ equal(stldt0(sdtbsmnsldt0(xA,xB)),sdtslmnbsdt0(stldt0(xA),stldt0(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(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 )
& ( aSet0(stldt0(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(sdtbsmnsldt0(xA,xB))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[264]) ).
cnf(267,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xB) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(268,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1)
| ~ aElementOf0(X1,xA) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(269,negated_conjecture,
( aElementOf0(X1,xB)
| aElementOf0(X1,xA)
| ~ epred1_0
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(272,negated_conjecture,
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ epred1_0
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(273,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(274,negated_conjecture,
( aInteger0(X1)
| ~ epred1_0
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(279,negated_conjecture,
( aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk17_0,stldt0(xB))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(280,negated_conjecture,
( aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(esk17_0,stldt0(xA))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(281,negated_conjecture,
( aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| aInteger0(esk17_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(282,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk17_0,stldt0(xB))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aInteger0(esk17_0)
| ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(split_conjunct,[status(thm)],[265]) ).
fof(345,plain,
( ( aSet0(stldt0(xA))
& ! [X1] :
( ( ~ aElementOf0(X1,stldt0(xA))
| ( aInteger0(X1)
& ~ aElementOf0(X1,xA) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xA)
| aElementOf0(X1,stldt0(xA)) ) )
& aSet0(cS1395)
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& ? [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) ) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,xB)
| aElementOf0(X1,stldt0(xB)) ) )
& aSet0(cS1395)
& ! [X1] :
( ( ~ aElementOf0(X1,cS1395)
| aInteger0(X1) )
& ( ~ aInteger0(X1)
| aElementOf0(X1,cS1395) ) )
& ? [X1] :
( aElementOf0(X1,stldt0(xB))
& ~ aElementOf0(X1,cS1395) )
& ~ aSubsetOf0(stldt0(xB),cS1395) )
| epred1_0 ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(346,plain,
( ( aSet0(stldt0(xA))
& ! [X2] :
( ( ~ aElementOf0(X2,stldt0(xA))
| ( aInteger0(X2)
& ~ aElementOf0(X2,xA) ) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA)) ) )
& aSet0(cS1395)
& ! [X3] :
( ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395) ) )
& ? [X4] :
( aElementOf0(X4,stldt0(xA))
& ~ aElementOf0(X4,cS1395) )
& ~ aSubsetOf0(stldt0(xA),cS1395) )
| ( aSet0(stldt0(xB))
& ! [X5] :
( ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) ) )
& aSet0(cS1395)
& ! [X6] :
( ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395) ) )
& ? [X7] :
( aElementOf0(X7,stldt0(xB))
& ~ aElementOf0(X7,cS1395) )
& ~ aSubsetOf0(stldt0(xB),cS1395) )
| epred1_0 ),
inference(variable_rename,[status(thm)],[345]) ).
fof(347,plain,
( ( aSet0(stldt0(xA))
& ! [X2] :
( ( ~ aElementOf0(X2,stldt0(xA))
| ( aInteger0(X2)
& ~ aElementOf0(X2,xA) ) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA)) ) )
& aSet0(cS1395)
& ! [X3] :
( ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395) ) )
& aElementOf0(esk20_0,stldt0(xA))
& ~ aElementOf0(esk20_0,cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395) )
| ( aSet0(stldt0(xB))
& ! [X5] :
( ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) ) )
& aSet0(cS1395)
& ! [X6] :
( ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395) ) )
& aElementOf0(esk21_0,stldt0(xB))
& ~ aElementOf0(esk21_0,cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395) )
| epred1_0 ),
inference(skolemize,[status(esa)],[346]) ).
fof(348,plain,
! [X2,X3,X5,X6] :
( ( ( ~ aElementOf0(X6,cS1395)
| aInteger0(X6) )
& ( ~ aInteger0(X6)
| aElementOf0(X6,cS1395) )
& aSet0(cS1395)
& aElementOf0(esk21_0,stldt0(xB))
& ~ aElementOf0(esk21_0,cS1395)
& ~ aSubsetOf0(stldt0(xB),cS1395)
& ( ~ aElementOf0(X5,stldt0(xB))
| ( aInteger0(X5)
& ~ aElementOf0(X5,xB) ) )
& ( ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB)) )
& aSet0(stldt0(xB)) )
| ( ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3) )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395) )
& aSet0(cS1395)
& aElementOf0(esk20_0,stldt0(xA))
& ~ aElementOf0(esk20_0,cS1395)
& ~ aSubsetOf0(stldt0(xA),cS1395)
& ( ~ aElementOf0(X2,stldt0(xA))
| ( aInteger0(X2)
& ~ aElementOf0(X2,xA) ) )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA)) )
& aSet0(stldt0(xA)) )
| epred1_0 ),
inference(shift_quantors,[status(thm)],[347]) ).
fof(349,plain,
! [X2,X3,X5,X6] :
( ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aElementOf0(X6,cS1395)
| aInteger0(X6)
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aInteger0(X6)
| aElementOf0(X6,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| aSet0(cS1395)
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| aSet0(cS1395)
| epred1_0 )
& ( aSet0(stldt0(xA))
| aSet0(cS1395)
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( aSet0(cS1395)
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( aSet0(stldt0(xA))
| aElementOf0(esk21_0,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395)
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( aSet0(cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(cS1395)
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(stldt0(xA))
| aInteger0(X5)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aElementOf0(X5,xB)
| ~ aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(cS1395)
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( aSet0(stldt0(xA))
| ~ aInteger0(X5)
| aElementOf0(X5,xB)
| aElementOf0(X5,stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X3,cS1395)
| aInteger0(X3)
| aSet0(stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X3)
| aElementOf0(X3,cS1395)
| aSet0(stldt0(xB))
| epred1_0 )
& ( aSet0(cS1395)
| aSet0(stldt0(xB))
| epred1_0 )
& ( aElementOf0(esk20_0,stldt0(xA))
| aSet0(stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(esk20_0,cS1395)
| aSet0(stldt0(xB))
| epred1_0 )
& ( ~ aSubsetOf0(stldt0(xA),cS1395)
| aSet0(stldt0(xB))
| epred1_0 )
& ( aInteger0(X2)
| ~ aElementOf0(X2,stldt0(xA))
| aSet0(stldt0(xB))
| epred1_0 )
& ( ~ aElementOf0(X2,xA)
| ~ aElementOf0(X2,stldt0(xA))
| aSet0(stldt0(xB))
| epred1_0 )
& ( ~ aInteger0(X2)
| aElementOf0(X2,xA)
| aElementOf0(X2,stldt0(xA))
| aSet0(stldt0(xB))
| epred1_0 )
& ( aSet0(stldt0(xA))
| aSet0(stldt0(xB))
| epred1_0 ) ),
inference(distribute,[status(thm)],[348]) ).
cnf(405,plain,
( epred1_0
| ~ aElementOf0(esk21_0,cS1395)
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[349]) ).
cnf(406,plain,
( epred1_0
| aElementOf0(esk20_0,stldt0(xA))
| ~ aElementOf0(esk21_0,cS1395) ),
inference(split_conjunct,[status(thm)],[349]) ).
cnf(415,plain,
( epred1_0
| aElementOf0(esk21_0,stldt0(xB))
| ~ aElementOf0(esk20_0,cS1395) ),
inference(split_conjunct,[status(thm)],[349]) ).
cnf(416,plain,
( epred1_0
| aElementOf0(esk21_0,stldt0(xB))
| aElementOf0(esk20_0,stldt0(xA)) ),
inference(split_conjunct,[status(thm)],[349]) ).
cnf(474,plain,
( aInteger0(esk21_0)
| epred1_0
| aElementOf0(esk20_0,stldt0(xA)) ),
inference(spm,[status(thm)],[171,416,theory(equality)]) ).
cnf(505,plain,
( aInteger0(esk20_0)
| epred1_0
| ~ aElementOf0(esk21_0,cS1395) ),
inference(spm,[status(thm)],[155,406,theory(equality)]) ).
cnf(508,plain,
( aInteger0(esk21_0)
| epred1_0
| ~ aElementOf0(esk20_0,cS1395) ),
inference(spm,[status(thm)],[171,415,theory(equality)]) ).
cnf(511,plain,
( epred1_0
| ~ aElementOf0(esk20_0,cS1395)
| ~ aInteger0(esk21_0) ),
inference(spm,[status(thm)],[405,147,theory(equality)]) ).
cnf(518,negated_conjecture,
( aInteger0(esk17_0)
| ~ epred1_0 ),
inference(spm,[status(thm)],[274,281,theory(equality)]) ).
cnf(719,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xA))
| ~ epred1_0
| ~ aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[273,280,theory(equality)]) ).
cnf(720,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| ~ epred1_0
| ~ aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB)) ),
inference(spm,[status(thm)],[273,279,theory(equality)]) ).
cnf(971,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(csr,[status(thm)],[282,155]) ).
cnf(1871,plain,
( aInteger0(esk20_0)
| epred1_0
| aInteger0(esk21_0) ),
inference(spm,[status(thm)],[155,474,theory(equality)]) ).
cnf(1945,plain,
( epred1_0
| aInteger0(esk20_0)
| ~ aInteger0(esk21_0) ),
inference(spm,[status(thm)],[505,147,theory(equality)]) ).
cnf(1989,plain,
( epred1_0
| aInteger0(esk20_0) ),
inference(csr,[status(thm)],[1945,1871]) ).
cnf(1995,plain,
( epred1_0
| aInteger0(esk21_0)
| ~ aInteger0(esk20_0) ),
inference(spm,[status(thm)],[508,147,theory(equality)]) ).
cnf(2005,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xA))
| ~ epred1_0
| ~ aElementOf0(esk17_0,xA)
| ~ aInteger0(esk17_0) ),
inference(spm,[status(thm)],[719,268,theory(equality)]) ).
cnf(2007,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xA))
| ~ epred1_0
| ~ aElementOf0(esk17_0,xA) ),
inference(csr,[status(thm)],[2005,518]) ).
cnf(2008,negated_conjecture,
( ~ epred1_0
| ~ aElementOf0(esk17_0,xA) ),
inference(csr,[status(thm)],[2007,154]) ).
cnf(2022,plain,
( epred1_0
| aInteger0(esk21_0) ),
inference(csr,[status(thm)],[1995,1989]) ).
cnf(2024,plain,
( epred1_0
| ~ aElementOf0(esk20_0,cS1395) ),
inference(csr,[status(thm)],[511,2022]) ).
cnf(2025,plain,
( epred1_0
| ~ aInteger0(esk20_0) ),
inference(spm,[status(thm)],[2024,147,theory(equality)]) ).
cnf(2030,plain,
epred1_0,
inference(csr,[status(thm)],[2025,1989]) ).
cnf(2031,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| $false
| ~ aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB)) ),
inference(rw,[status(thm)],[720,2030,theory(equality)]) ).
cnf(2032,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| ~ aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB)) ),
inference(cn,[status(thm)],[2031,theory(equality)]) ).
cnf(2041,negated_conjecture,
( $false
| ~ aElementOf0(esk17_0,xA) ),
inference(rw,[status(thm)],[2008,2030,theory(equality)]) ).
cnf(2042,negated_conjecture,
~ aElementOf0(esk17_0,xA),
inference(cn,[status(thm)],[2041,theory(equality)]) ).
cnf(2049,negated_conjecture,
( aInteger0(esk17_0)
| $false ),
inference(rw,[status(thm)],[518,2030,theory(equality)]) ).
cnf(2050,negated_conjecture,
aInteger0(esk17_0),
inference(cn,[status(thm)],[2049,theory(equality)]) ).
cnf(2051,negated_conjecture,
( $false
| ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(rw,[status(thm)],[971,2030,theory(equality)]) ).
cnf(2052,negated_conjecture,
( ~ aElementOf0(esk17_0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(cn,[status(thm)],[2051,theory(equality)]) ).
cnf(2054,negated_conjecture,
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| $false
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[272,2030,theory(equality)]) ).
cnf(2055,negated_conjecture,
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2054,theory(equality)]) ).
cnf(2061,negated_conjecture,
( aElementOf0(X1,xB)
| aElementOf0(X1,xA)
| $false
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(rw,[status(thm)],[269,2030,theory(equality)]) ).
cnf(2062,negated_conjecture,
( aElementOf0(X1,xB)
| aElementOf0(X1,xA)
| ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB)) ),
inference(cn,[status(thm)],[2061,theory(equality)]) ).
cnf(2065,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| $false
| ~ aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[267,2030,theory(equality)]) ).
cnf(2066,negated_conjecture,
( aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(X1,xB)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[2065,theory(equality)]) ).
cnf(2233,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| ~ aElementOf0(esk17_0,xB)
| ~ aInteger0(esk17_0) ),
inference(spm,[status(thm)],[2032,2066,theory(equality)]) ).
cnf(2249,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| ~ aElementOf0(esk17_0,xB)
| $false ),
inference(rw,[status(thm)],[2233,2050,theory(equality)]) ).
cnf(2250,negated_conjecture,
( aElementOf0(esk17_0,stldt0(xB))
| ~ aElementOf0(esk17_0,xB) ),
inference(cn,[status(thm)],[2249,theory(equality)]) ).
cnf(2265,negated_conjecture,
( aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB))
| ~ aInteger0(esk17_0) ),
inference(spm,[status(thm)],[2052,2055,theory(equality)]) ).
cnf(2279,negated_conjecture,
( aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB))
| $false ),
inference(rw,[status(thm)],[2265,2050,theory(equality)]) ).
cnf(2280,negated_conjecture,
( aElementOf0(esk17_0,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(cn,[status(thm)],[2279,theory(equality)]) ).
cnf(2281,negated_conjecture,
~ aElementOf0(esk17_0,xB),
inference(csr,[status(thm)],[2250,170]) ).
cnf(2472,negated_conjecture,
( aElementOf0(esk17_0,xA)
| aElementOf0(esk17_0,xB)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(spm,[status(thm)],[2062,2280,theory(equality)]) ).
cnf(2491,negated_conjecture,
( aElementOf0(esk17_0,xB)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(sr,[status(thm)],[2472,2042,theory(equality)]) ).
cnf(2492,negated_conjecture,
( ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aElementOf0(esk17_0,stldt0(xB)) ),
inference(sr,[status(thm)],[2491,2281,theory(equality)]) ).
cnf(2493,plain,
( aElementOf0(esk17_0,xB)
| ~ aElementOf0(esk17_0,stldt0(xA))
| ~ aInteger0(esk17_0) ),
inference(spm,[status(thm)],[2492,169,theory(equality)]) ).
cnf(2494,plain,
( aElementOf0(esk17_0,xB)
| ~ aElementOf0(esk17_0,stldt0(xA))
| $false ),
inference(rw,[status(thm)],[2493,2050,theory(equality)]) ).
cnf(2495,plain,
( aElementOf0(esk17_0,xB)
| ~ aElementOf0(esk17_0,stldt0(xA)) ),
inference(cn,[status(thm)],[2494,theory(equality)]) ).
cnf(2496,plain,
~ aElementOf0(esk17_0,stldt0(xA)),
inference(sr,[status(thm)],[2495,2281,theory(equality)]) ).
cnf(2497,plain,
( aElementOf0(esk17_0,xA)
| ~ aInteger0(esk17_0) ),
inference(spm,[status(thm)],[2496,153,theory(equality)]) ).
cnf(2500,plain,
( aElementOf0(esk17_0,xA)
| $false ),
inference(rw,[status(thm)],[2497,2050,theory(equality)]) ).
cnf(2501,plain,
aElementOf0(esk17_0,xA),
inference(cn,[status(thm)],[2500,theory(equality)]) ).
cnf(2502,plain,
$false,
inference(sr,[status(thm)],[2501,2042,theory(equality)]) ).
cnf(2503,plain,
$false,
2502,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM440+6 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n139.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 03:52:15 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.41 -running prover on /export/starexec/sandbox/tmp/tmp9Af13j/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.41 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp9Af13j/sel_theBenchmark.p_1']
% 0.07/0.41 -prover status Theorem
% 0.07/0.41 Problem theBenchmark.p solved in phase 0.
% 0.07/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 Solved 1 out of 1.
% 0.07/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.41 # SZS status Theorem
% 0.07/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------