TSTP Solution File: NUM441+6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM441+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:30:29 EDT 2023
% Result : Theorem 7.34s 1.64s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 1163 ( 73 equ)
% Maximal formula atoms : 67 ( 23 avg)
% Number of connectives : 1467 ( 354 ~; 283 |; 721 &)
% ( 59 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 288 ( 0 sgn; 226 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( ( isOpen0(X1)
& isOpen0(X0)
& aSubsetOf0(X1,cS1395)
& aSubsetOf0(X0,cS1395) )
=> isOpen0(sdtslmnbsdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mInterOpen) ).
fof(f39,axiom,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xA))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xA)) )
& ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,cS1395) )
& aSet0(xB)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,cS1395) )
& aSet0(xA)
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1826) ).
fof(f40,axiom,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> aElementOf0(X0,cS1395) )
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
<=> ( ~ aElementOf0(X0,xB)
& aInteger0(X0) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
=> aElementOf0(X0,cS1395) )
& ! [X0] :
( aElementOf0(X0,cS1395)
<=> aInteger0(X0) )
& aSet0(cS1395)
& ! [X0] :
( aElementOf0(X0,stldt0(xA))
<=> ( ~ aElementOf0(X0,xA)
& aInteger0(X0) ) )
& aSet0(stldt0(xA)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f41,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB))
& aInteger0(X0) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X1] :
( ( ( ! [X2] :
( ( ( ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
| ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) ) )
& aInteger0(X2) )
=> aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X2,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
& ? [X3] :
( sdtasdt0(X1,X3) = sdtpldt0(X2,smndt0(X0))
& aInteger0(X3) )
& aInteger0(X2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X1
& aInteger0(X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f49,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(xB))
=> ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> aElementOf0(X2,stldt0(xB)) )
& ! [X3] :
( ( ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
| ? [X4] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X4)
& aInteger0(X4) ) )
& aInteger0(X3) )
=> aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
=> ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) ) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( aElementOf0(X7,stldt0(xA))
=> ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> aElementOf0(X9,stldt0(xA)) )
& ! [X10] :
( ( ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
| aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
| ? [X11] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X11)
& aInteger0(X11) ) )
& aInteger0(X10) )
=> aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
=> ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) ) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,xB)
=> aElementOf0(X14,cS1395) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,xA)
=> aElementOf0(X16,cS1395) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(rectify,[],[f39]) ).
fof(f50,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,stldt0(xB))
=> aElementOf0(X5,cS1395) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,stldt0(xA))
=> aElementOf0(X8,cS1395) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
<=> ( ~ aElementOf0(X10,xA)
& aInteger0(X10) ) )
& aSet0(stldt0(xA)) ),
inference(rectify,[],[f40]) ).
fof(f51,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) )
=> ( isClosed0(sdtbsmnsldt0(xA,xB))
| ( ( ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X2] :
( aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
=> ? [X3] :
( ( ( ! [X4] :
( ( ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
| aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
| ? [X5] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X5)
& aInteger0(X5) ) )
& aInteger0(X4) )
=> aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
| ! [X7] :
( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3))
=> aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB))) ) ) )
& sz00 != X3
& aInteger0(X3) ) ) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f100,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(ennf_transformation,[],[f38]) ).
fof(f101,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) ) )
& ! [X1] :
( aElementOf0(X1,stldt0(xB))
<=> ( ~ aElementOf0(X1,xB)
& aInteger0(X1) ) )
& ! [X2] :
( aElementOf0(X2,stldt0(xA))
<=> ( ~ aElementOf0(X2,xA)
& aInteger0(X2) ) )
& ! [X3] :
( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,cS1395)
<=> aInteger0(X6) )
& aSet0(cS1395)
& ! [X7] :
( aElementOf0(X7,stldt0(xB))
<=> ( ~ aElementOf0(X7,xB)
& aInteger0(X7) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( aElementOf0(X9,cS1395)
<=> aInteger0(X9) )
& aSet0(cS1395)
& ! [X10] :
( aElementOf0(X10,stldt0(xA))
<=> ( ~ aElementOf0(X10,xA)
& aInteger0(X10) ) )
& aSet0(stldt0(xA)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f105,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f106,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(flattening,[],[f105]) ).
fof(f116,plain,
! [X8,X7] :
( ! [X10] :
( ( aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8))
| ( ~ sdteqdtlpzmzozddtrp0(X10,X7,X8)
& ~ aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ! [X11] :
( sdtpldt0(X10,smndt0(X7)) != sdtasdt0(X8,X11)
| ~ aInteger0(X11) ) )
| ~ aInteger0(X10) )
& ( ( sdteqdtlpzmzozddtrp0(X10,X7,X8)
& aDivisorOf0(X8,sdtpldt0(X10,smndt0(X7)))
& ? [X12] :
( sdtpldt0(X10,smndt0(X7)) = sdtasdt0(X8,X12)
& aInteger0(X12) )
& aInteger0(X10) )
| ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(X7,X8)) ) )
| ~ sP6(X8,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f117,plain,
! [X1,X0] :
( ! [X3] :
( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
& ~ aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ! [X4] :
( sdtpldt0(X3,smndt0(X0)) != sdtasdt0(X1,X4)
| ~ aInteger0(X4) ) )
| ~ aInteger0(X3) )
& ( ( sdteqdtlpzmzozddtrp0(X3,X0,X1)
& aDivisorOf0(X1,sdtpldt0(X3,smndt0(X0)))
& ? [X5] :
( sdtpldt0(X3,smndt0(X0)) = sdtasdt0(X1,X5)
& aInteger0(X5) )
& aInteger0(X3) )
| ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) )
| ~ sP7(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f118,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP7(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( aElementOf0(X6,stldt0(xB))
<=> ( ~ aElementOf0(X6,xB)
& aInteger0(X6) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP6(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( aElementOf0(X13,stldt0(xA))
<=> ( ~ aElementOf0(X13,xA)
& aInteger0(X13) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( aElementOf0(X15,cS1395)
<=> aInteger0(X15) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( aElementOf0(X17,cS1395)
<=> aInteger0(X17) )
& aSet0(cS1395) ),
inference(definition_folding,[],[f103,f117,f116]) ).
fof(f119,plain,
! [X3,X2] :
( ! [X4] :
( ( aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ( ~ sdteqdtlpzmzozddtrp0(X4,X2,X3)
& ~ aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ! [X5] :
( sdtpldt0(X4,smndt0(X2)) != sdtasdt0(X3,X5)
| ~ aInteger0(X5) ) )
| ~ aInteger0(X4) )
& ( ( sdteqdtlpzmzozddtrp0(X4,X2,X3)
& aDivisorOf0(X3,sdtpldt0(X4,smndt0(X2)))
& ? [X6] :
( sdtpldt0(X4,smndt0(X2)) = sdtasdt0(X3,X6)
& aInteger0(X6) )
& aInteger0(X4) )
| ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) )
| ~ sP8(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f120,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
<=> ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(definition_folding,[],[f106,f119]) ).
fof(f186,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP7(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP6(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(nnf_transformation,[],[f118]) ).
fof(f187,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP7(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,stldt0(xB))
| aElementOf0(X6,xB)
| ~ aInteger0(X6) )
& ( ( ~ aElementOf0(X6,xB)
& aInteger0(X6) )
| ~ aElementOf0(X6,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X7] :
( ? [X8] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X7,X8),stldt0(xA))
& ! [X9] :
( aElementOf0(X9,stldt0(xA))
| ~ aElementOf0(X9,szAzrzSzezqlpdtcmdtrp0(X7,X8)) )
& sP6(X8,X7)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X7,X8))
& sz00 != X8
& aInteger0(X8) )
| ~ aElementOf0(X7,stldt0(xA)) )
& ! [X13] :
( ( aElementOf0(X13,stldt0(xA))
| aElementOf0(X13,xA)
| ~ aInteger0(X13) )
& ( ( ~ aElementOf0(X13,xA)
& aInteger0(X13) )
| ~ aElementOf0(X13,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X14] :
( aElementOf0(X14,cS1395)
| ~ aElementOf0(X14,xB) )
& aSet0(xB)
& ! [X15] :
( ( aElementOf0(X15,cS1395)
| ~ aInteger0(X15) )
& ( aInteger0(X15)
| ~ aElementOf0(X15,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X16] :
( aElementOf0(X16,cS1395)
| ~ aElementOf0(X16,xA) )
& aSet0(xA)
& ! [X17] :
( ( aElementOf0(X17,cS1395)
| ~ aInteger0(X17) )
& ( aInteger0(X17)
| ~ aElementOf0(X17,cS1395) ) )
& aSet0(cS1395) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP7(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| aElementOf0(X3,xB)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,xB)
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X4] :
( ? [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,X5),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,X5)) )
& sP6(X5,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,X5))
& sz00 != X5
& aInteger0(X5) )
| ~ aElementOf0(X4,stldt0(xA)) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xA))
| aElementOf0(X7,xA)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xA)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& aSet0(xB)
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) ) )
& aSet0(cS1395) ),
inference(rectify,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP7(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0))) )
& sP7(sK25(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0)))
& sz00 != sK25(X0)
& aInteger0(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X4] :
( ? [X5] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,X5),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,X5)) )
& sP6(X5,X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,X5))
& sz00 != X5
& aInteger0(X5) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4)),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4))) )
& sP6(sK26(X4),X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4)))
& sz00 != sK26(X4)
& aInteger0(sK26(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( isClosed0(xB)
& isOpen0(stldt0(xB))
& ! [X0] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0)),stldt0(xB))
& ! [X2] :
( aElementOf0(X2,stldt0(xB))
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0))) )
& sP7(sK25(X0),X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,sK25(X0)))
& sz00 != sK25(X0)
& aInteger0(sK25(X0)) )
| ~ aElementOf0(X0,stldt0(xB)) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(xB))
| aElementOf0(X3,xB)
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,xB)
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& isClosed0(xA)
& isOpen0(stldt0(xA))
& ! [X4] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4)),stldt0(xA))
& ! [X6] :
( aElementOf0(X6,stldt0(xA))
| ~ aElementOf0(X6,szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4))) )
& sP6(sK26(X4),X4)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X4,sK26(X4)))
& sz00 != sK26(X4)
& aInteger0(sK26(X4)) )
| ~ aElementOf0(X4,stldt0(xA)) )
& ! [X7] :
( ( aElementOf0(X7,stldt0(xA))
| aElementOf0(X7,xA)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xA)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xA)) ) )
& aSet0(stldt0(xA))
& aSubsetOf0(xB,cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,xB) )
& aSet0(xB)
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& aSubsetOf0(xA,cS1395)
& ! [X10] :
( aElementOf0(X10,cS1395)
| ~ aElementOf0(X10,xA) )
& aSet0(xA)
& ! [X11] :
( ( aElementOf0(X11,cS1395)
| ~ aInteger0(X11) )
& ( aInteger0(X11)
| ~ aElementOf0(X11,cS1395) ) )
& aSet0(cS1395) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f188,f190,f189]) ).
fof(f192,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| aElementOf0(X2,xA)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(cS1395)
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& ! [X10] :
( ( aElementOf0(X10,stldt0(xA))
| aElementOf0(X10,xA)
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,xA)
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(xA)) ) )
& aSet0(stldt0(xA)) ),
inference(nnf_transformation,[],[f104]) ).
fof(f193,plain,
( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB))
& ! [X0] :
( ( aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0(X0,stldt0(xB))
| ~ aElementOf0(X0,stldt0(xA))
| ~ aInteger0(X0) )
& ( ( aElementOf0(X0,stldt0(xB))
& aElementOf0(X0,stldt0(xA))
& aInteger0(X0) )
| ~ aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(xB))
| aElementOf0(X1,xB)
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,xB)
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(xB)) ) )
& ! [X2] :
( ( aElementOf0(X2,stldt0(xA))
| aElementOf0(X2,xA)
| ~ aInteger0(X2) )
& ( ( ~ aElementOf0(X2,xA)
& aInteger0(X2) )
| ~ aElementOf0(X2,stldt0(xA)) ) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB))
& aSubsetOf0(stldt0(xB),cS1395)
& ! [X5] :
( aElementOf0(X5,cS1395)
| ~ aElementOf0(X5,stldt0(xB)) )
& ! [X6] :
( ( aElementOf0(X6,cS1395)
| ~ aInteger0(X6) )
& ( aInteger0(X6)
| ~ aElementOf0(X6,cS1395) ) )
& aSet0(cS1395)
& ! [X7] :
( ( aElementOf0(X7,stldt0(xB))
| aElementOf0(X7,xB)
| ~ aInteger0(X7) )
& ( ( ~ aElementOf0(X7,xB)
& aInteger0(X7) )
| ~ aElementOf0(X7,stldt0(xB)) ) )
& aSet0(stldt0(xB))
& aSubsetOf0(stldt0(xA),cS1395)
& ! [X8] :
( aElementOf0(X8,cS1395)
| ~ aElementOf0(X8,stldt0(xA)) )
& ! [X9] :
( ( aElementOf0(X9,cS1395)
| ~ aInteger0(X9) )
& ( aInteger0(X9)
| ~ aElementOf0(X9,cS1395) ) )
& aSet0(cS1395)
& ! [X10] :
( ( aElementOf0(X10,stldt0(xA))
| aElementOf0(X10,xA)
| ~ aInteger0(X10) )
& ( ( ~ aElementOf0(X10,xA)
& aInteger0(X10) )
| ~ aElementOf0(X10,stldt0(xA)) ) )
& aSet0(stldt0(xA)) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(nnf_transformation,[],[f120]) ).
fof(f199,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ! [X3] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X7] :
( ~ aElementOf0(X7,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
& sP8(X3,X2)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3)) )
| sz00 = X3
| ~ aInteger0(X3) )
& aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X1] :
( ( aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X1,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X1) )
& ( ( ~ aElementOf0(X1,sdtbsmnsldt0(xA,xB))
& aInteger0(X1) )
| ~ aElementOf0(X1,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X0] :
( ( aElementOf0(X0,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X0,xB)
& ~ aElementOf0(X0,xA) )
| ~ aInteger0(X0) )
& ( ( ( aElementOf0(X0,xB)
| aElementOf0(X0,xA) )
& aInteger0(X0) )
| ~ aElementOf0(X0,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(rectify,[],[f199]) ).
fof(f201,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
& sP8(X1,X0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(X0,stldt0(sdtbsmnsldt0(xA,xB))) )
=> ( ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK28,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK28,X1)) )
& sP8(X1,sK28)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK28,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB))) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(sK28,X1)) )
=> ( ~ aElementOf0(sK29(X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(sK29(X1),szAzrzSzezqlpdtcmdtrp0(sK28,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
( ~ isClosed0(sdtbsmnsldt0(xA,xB))
& ~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK28,X1),stldt0(sdtbsmnsldt0(xA,xB)))
& ~ aElementOf0(sK29(X1),stldt0(sdtbsmnsldt0(xA,xB)))
& aElementOf0(sK29(X1),szAzrzSzezqlpdtcmdtrp0(sK28,X1))
& sP8(X1,sK28)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK28,X1)) )
| sz00 = X1
| ~ aInteger0(X1) )
& aElementOf0(sK28,stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X3] :
( ( aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(X3,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(X3) )
& ( ( ~ aElementOf0(X3,sdtbsmnsldt0(xA,xB))
& aInteger0(X3) )
| ~ aElementOf0(X3,stldt0(sdtbsmnsldt0(xA,xB))) ) )
& aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [X4] :
( ( aElementOf0(X4,sdtbsmnsldt0(xA,xB))
| ( ~ aElementOf0(X4,xB)
& ~ aElementOf0(X4,xA) )
| ~ aInteger0(X4) )
& ( ( ( aElementOf0(X4,xB)
| aElementOf0(X4,xA) )
& aInteger0(X4) )
| ~ aElementOf0(X4,sdtbsmnsldt0(xA,xB)) ) )
& aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f200,f202,f201]) ).
fof(f306,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[],[f101]) ).
fof(f345,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f191]) ).
fof(f357,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f191]) ).
fof(f367,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(cnf_transformation,[],[f193]) ).
fof(f376,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(cnf_transformation,[],[f193]) ).
fof(f396,plain,
stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)),
inference(cnf_transformation,[],[f193]) ).
fof(f420,plain,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f203]) ).
cnf(c_151,plain,
( ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| ~ isOpen0(X1)
| isOpen0(sdtslmnbsdt0(X0,X1)) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_169,plain,
isOpen0(stldt0(xB)),
inference(cnf_transformation,[],[f357]) ).
cnf(c_181,plain,
isOpen0(stldt0(xA)),
inference(cnf_transformation,[],[f345]) ).
cnf(c_204,plain,
sdtslmnbsdt0(stldt0(xA),stldt0(xB)) = stldt0(sdtbsmnsldt0(xA,xB)),
inference(cnf_transformation,[],[f396]) ).
cnf(c_224,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(cnf_transformation,[],[f376]) ).
cnf(c_233,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(cnf_transformation,[],[f367]) ).
cnf(c_251,negated_conjecture,
~ isOpen0(stldt0(sdtbsmnsldt0(xA,xB))),
inference(cnf_transformation,[],[f420]) ).
cnf(c_32740,plain,
( ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ isOpen0(stldt0(xB))
| ~ isOpen0(stldt0(xA))
| isOpen0(stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(superposition,[status(thm)],[c_204,c_151]) ).
cnf(c_32741,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32740,c_251,c_181,c_169,c_233,c_224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM441+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.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 : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:07:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.34/1.64 % SZS status Started for theBenchmark.p
% 7.34/1.64 % SZS status Theorem for theBenchmark.p
% 7.34/1.64
% 7.34/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.34/1.64
% 7.34/1.64 ------ iProver source info
% 7.34/1.64
% 7.34/1.64 git: date: 2023-05-31 18:12:56 +0000
% 7.34/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.34/1.64 git: non_committed_changes: false
% 7.34/1.64 git: last_make_outside_of_git: false
% 7.34/1.64
% 7.34/1.64 ------ Parsing...
% 7.34/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.34/1.64
% 7.34/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 7.34/1.64
% 7.34/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.34/1.64
% 7.34/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.34/1.64 ------ Proving...
% 7.34/1.64 ------ Problem Properties
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64 clauses 175
% 7.34/1.64 conjectures 13
% 7.34/1.64 EPR 32
% 7.34/1.64 Horn 125
% 7.34/1.64 unary 20
% 7.34/1.64 binary 41
% 7.34/1.64 lits 566
% 7.34/1.64 lits eq 75
% 7.34/1.64 fd_pure 0
% 7.34/1.64 fd_pseudo 0
% 7.34/1.64 fd_cond 28
% 7.34/1.64 fd_pseudo_cond 9
% 7.34/1.64 AC symbols 0
% 7.34/1.64
% 7.34/1.64 ------ Schedule dynamic 5 is on
% 7.34/1.64
% 7.34/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64 ------
% 7.34/1.64 Current options:
% 7.34/1.64 ------
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64 ------ Proving...
% 7.34/1.64
% 7.34/1.64
% 7.34/1.64 % SZS status Theorem for theBenchmark.p
% 7.34/1.64
% 7.34/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.34/1.64
% 7.34/1.64
%------------------------------------------------------------------------------