TSTP Solution File: NUM588+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM588+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Mon Jun 24 12:54:23 EDT 2024
% Result : Theorem 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 546 ( 61 equ)
% Maximal formula atoms : 80 ( 21 avg)
% Number of connectives : 696 ( 176 ~; 129 |; 347 &)
% ( 10 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 10 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 98 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f89,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f88]) ).
fof(f104,plain,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) )
& aSet0(X5) )
=> ( ( ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X9] :
( aElementOf0(X9,X5)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(rectify,[],[f89]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f221]) ).
fof(f391,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f222]) ).
fof(f392,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f391]) ).
fof(f393,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f392]) ).
fof(f394,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) )
=> ( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK53))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53)) )
& aElementOf0(sK53,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f395,plain,
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK53))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53)) )
=> ( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(X2,slbdtsldtrb0(sK54,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sK54)
& ! [X6] :
( aElementOf0(X6,sK54)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(sK54)
& aSubsetOf0(sK54,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| ~ aElementOf0(X7,sK54) )
& aSet0(sK54)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK53))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53)) ) ),
introduced(choice_axiom,[]) ).
fof(f396,plain,
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(X2,slbdtsldtrb0(sK54,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sK54)
& ! [X6] :
( aElementOf0(X6,sK54)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
=> ( ~ aElementOf0(sK55,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(sK55,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,sK55) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(sK55,slbdtsldtrb0(sK54,xk))
& xk = sbrdtbr0(sK55)
& aSubsetOf0(sK55,sK54)
& ! [X6] :
( aElementOf0(X6,sK54)
| ~ aElementOf0(X6,sK55) )
& aSet0(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f397,plain,
( ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(X3,sK55) )
=> ( ~ aElementOf0(sK56,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(sK56,sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f398,plain,
( ~ aElementOf0(sK55,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))),xk))
& ~ aSubsetOf0(sK55,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ~ aElementOf0(sK56,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& aElementOf0(sK56,sK55)
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK53))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(sK55,slbdtsldtrb0(sK54,xk))
& xk = sbrdtbr0(sK55)
& aSubsetOf0(sK55,sK54)
& ! [X6] :
( aElementOf0(X6,sK54)
| ~ aElementOf0(X6,sK55) )
& aSet0(sK55)
& isCountable0(sK54)
& aSubsetOf0(sK54,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| ~ aElementOf0(X7,sK54) )
& aSet0(sK54)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| szmzizndt0(sdtlpdtrp0(xN,sK53)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK53))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK53)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK53))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK53)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK53)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK53)),sdtlpdtrp0(xN,sK53))
& aElementOf0(sK53,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f393,f397,f396,f395,f394]) ).
fof(f707,plain,
! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53))))
| ~ aElementOf0(X7,sK54) ),
inference(cnf_transformation,[],[f398]) ).
fof(f711,plain,
! [X6] :
( aElementOf0(X6,sK54)
| ~ aElementOf0(X6,sK55) ),
inference(cnf_transformation,[],[f398]) ).
fof(f722,plain,
aElementOf0(sK56,sK55),
inference(cnf_transformation,[],[f398]) ).
fof(f723,plain,
~ aElementOf0(sK56,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))),
inference(cnf_transformation,[],[f398]) ).
cnf(c_350,negated_conjecture,
~ aElementOf0(sK56,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))),
inference(cnf_transformation,[],[f723]) ).
cnf(c_351,negated_conjecture,
aElementOf0(sK56,sK55),
inference(cnf_transformation,[],[f722]) ).
cnf(c_362,negated_conjecture,
( ~ aElementOf0(X0,sK55)
| aElementOf0(X0,sK54) ),
inference(cnf_transformation,[],[f711]) ).
cnf(c_366,negated_conjecture,
( ~ aElementOf0(X0,sK54)
| aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,sK53),szmzizndt0(sdtlpdtrp0(xN,sK53)))) ),
inference(cnf_transformation,[],[f707]) ).
cnf(c_10873,negated_conjecture,
~ aElementOf0(sK56,sP12_iProver_def),
inference(demodulation,[status(thm)],[c_350]) ).
cnf(c_10889,negated_conjecture,
( ~ aElementOf0(X0,sK54)
| aElementOf0(X0,sP12_iProver_def) ),
inference(demodulation,[status(thm)],[c_366]) ).
cnf(c_11413,plain,
( ~ aElementOf0(X0,sK55)
| aElementOf0(X0,sP12_iProver_def) ),
inference(prop_impl_just,[status(thm)],[c_362,c_10889]) ).
cnf(c_12488,plain,
( ~ aElementOf0(sK56,sK55)
| aElementOf0(sK56,sP12_iProver_def) ),
inference(instantiation,[status(thm)],[c_11413]) ).
cnf(c_12489,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12488,c_10873,c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM588+3 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 00:26:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2024-06-12 09:56:46 +0000
% 0.48/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...
% 0.48/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 4 0s gs_e scvd_s sp: 7 0s scvd_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing...
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 368
% 0.48/1.16 conjectures 21
% 0.48/1.16 EPR 90
% 0.48/1.16 Horn 291
% 0.48/1.16 unary 48
% 0.48/1.16 binary 123
% 0.48/1.16 lits 1116
% 0.48/1.16 lits eq 134
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 11
% 0.48/1.16 fd_pseudo_cond 39
% 0.48/1.16 AC symbols 0
% 0.48/1.16
% 0.48/1.16 ------ Input Options Time Limit: Unbounded
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16
% 1.03/1.18
%------------------------------------------------------------------------------