TSTP Solution File: NUM577+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM577+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Fri May 3 02:50:01 EDT 2024
% Result : Theorem 24.93s 4.26s
% Output : CNFRefutation 24.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 10 unt; 0 def)
% Number of atoms : 505 ( 41 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 615 ( 201 ~; 165 |; 199 &)
% ( 11 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 98 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f86,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3904) ).
fof(f87,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ~ ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ~ ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xn))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) ) ) ) ),
inference(negated_conjecture,[],[f87]) ).
fof(f98,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(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))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f99,plain,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ~ ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,xn))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,xm))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f129,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f204,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(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))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f98]) ).
fof(f205,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(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))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f207,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f208,plain,
! [X0,X1] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f207]) ).
fof(f211,plain,
( ( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X4,sdtlpdtrp0(xN,xm)) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,xn))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(ennf_transformation,[],[f99]) ).
fof(f212,plain,
( ( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X4,sdtlpdtrp0(xN,xm)) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,xn))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) ) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(flattening,[],[f211]) ).
fof(f224,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f225,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(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)) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f226,plain,
( ! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f205,f225,f224]) ).
fof(f227,plain,
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,xn))
& aElement0(X3) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f228,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X4,sdtlpdtrp0(xN,xm)) )
& sP10
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f229,plain,
( ( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
& ! [X0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) )
| sP11 )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(definition_folding,[],[f212,f228,f227]) ).
fof(f331,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(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)) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f332,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP9(X0) ),
inference(rectify,[],[f331]) ).
fof(f333,plain,
! [X0] :
( ! [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)))) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f224]) ).
fof(f334,plain,
! [X0] :
( ! [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)))) ) )
| ~ sP8(X0) ),
inference(flattening,[],[f333]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f334]) ).
fof(f336,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK41(X0),szNzAzT0)
& aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
( ! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK41(X0),szNzAzT0)
& aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f226,f336]) ).
fof(f338,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X4,sdtlpdtrp0(xN,xm)) )
& sP10
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f228]) ).
fof(f339,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
& sP10
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
| ~ sP11 ),
inference(rectify,[],[f338]) ).
fof(f340,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
=> ( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(sK42,sdtlpdtrp0(xN,xm)) ) ),
introduced(choice_axiom,[]) ).
fof(f341,plain,
( ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& aElementOf0(sK42,sdtlpdtrp0(xN,xm))
& sP10
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f339,f340]) ).
fof(f393,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f545,plain,
! [X0] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f548,plain,
! [X0] :
( sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f550,plain,
! [X0,X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f555,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f560,plain,
! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f562,plain,
! [X0] :
( sP9(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f565,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f566,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f567,plain,
! [X2,X0,X1] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f572,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f573,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f578,plain,
( aElementOf0(sK42,sdtlpdtrp0(xN,xm))
| ~ sP11 ),
inference(cnf_transformation,[],[f341]) ).
fof(f579,plain,
( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ sP11 ),
inference(cnf_transformation,[],[f341]) ).
fof(f585,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f229]) ).
fof(f586,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| sP11 ),
inference(cnf_transformation,[],[f229]) ).
fof(f590,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| sP11 ),
inference(cnf_transformation,[],[f229]) ).
fof(f633,plain,
! [X0] :
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(equality_resolution,[],[f555]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_251,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ sP9(X1)
| aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f550]) ).
cnf(c_253,plain,
( ~ sP9(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f548]) ).
cnf(c_256,plain,
( ~ sP9(X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f545]) ).
cnf(c_258,negated_conjecture,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f633]) ).
cnf(c_261,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| sP9(X0) ),
inference(cnf_transformation,[],[f562]) ).
cnf(c_263,plain,
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK41(X0),sdtlpdtrp0(xN,X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_267,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_268,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_272,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,X2)) ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_276,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f573]) ).
cnf(c_277,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f572]) ).
cnf(c_279,negated_conjecture,
( ~ aElementOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ sP11 ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_280,plain,
( ~ sP11
| aElementOf0(sK42,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[],[f578]) ).
cnf(c_289,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| sP11 ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_293,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| sP11 ),
inference(cnf_transformation,[],[f586]) ).
cnf(c_294,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f585]) ).
cnf(c_486,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sP9(X0) ),
inference(global_subsumption_just,[status(thm)],[c_263,c_267,c_268,c_261]) ).
cnf(c_777,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_827,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sP9(xm) ),
inference(instantiation,[status(thm)],[c_486]) ).
cnf(c_828,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sP9(xn) ),
inference(instantiation,[status(thm)],[c_486]) ).
cnf(c_1362,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(instantiation,[status(thm)],[c_272]) ).
cnf(c_2439,plain,
( ~ aElementOf0(sK42,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sK42,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(instantiation,[status(thm)],[c_1362]) ).
cnf(c_7033,plain,
( ~ sP9(xm)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_13938,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0)
| ~ sP8(X0) ),
inference(superposition,[status(thm)],[c_251,c_258]) ).
cnf(c_13939,plain,
( ~ aElementOf0(sK42,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ sP9(xn)
| ~ sP11 ),
inference(superposition,[status(thm)],[c_251,c_279]) ).
cnf(c_14403,plain,
~ sP11,
inference(global_subsumption_just,[status(thm)],[c_13939,c_277,c_276,c_294,c_280,c_777,c_828,c_2439,c_13939]) ).
cnf(c_15197,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(global_subsumption_just,[status(thm)],[c_293,c_276,c_827,c_7033]) ).
cnf(c_15199,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(global_subsumption_just,[status(thm)],[c_289,c_289,c_14403]) ).
cnf(c_18021,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0)
| ~ sP8(X0) ),
inference(superposition,[status(thm)],[c_251,c_258]) ).
cnf(c_18040,plain,
( ~ sP9(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_18021,c_253,c_13938]) ).
cnf(c_18041,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(renaming,[status(thm)],[c_18040]) ).
cnf(c_21257,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,X0)) ),
inference(instantiation,[status(thm)],[c_272]) ).
cnf(c_24103,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_15197,c_272]) ).
cnf(c_24457,plain,
( ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_24103,c_276,c_827,c_7033,c_21257]) ).
cnf(c_24458,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,X0)) ),
inference(renaming,[status(thm)],[c_24457]) ).
cnf(c_24460,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_15199,c_24458]) ).
cnf(c_24540,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ sP9(xn) ),
inference(superposition,[status(thm)],[c_24460,c_18041]) ).
cnf(c_24543,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_24540,c_828,c_777,c_294,c_277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM577+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 : Thu May 2 19:43:31 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.93/4.26 % SZS status Started for theBenchmark.p
% 24.93/4.26 % SZS status Theorem for theBenchmark.p
% 24.93/4.26
% 24.93/4.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.93/4.26
% 24.93/4.26 ------ iProver source info
% 24.93/4.26
% 24.93/4.26 git: date: 2024-05-02 19:28:25 +0000
% 24.93/4.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.93/4.26 git: non_committed_changes: false
% 24.93/4.26
% 24.93/4.26 ------ Parsing...
% 24.93/4.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.93/4.26
% 24.93/4.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 24.93/4.26
% 24.93/4.26 ------ Preprocessing...
% 24.93/4.26
% 24.93/4.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.93/4.26 ------ Proving...
% 24.93/4.26 ------ Problem Properties
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26 clauses 243
% 24.93/4.26 conjectures 22
% 24.93/4.26 EPR 52
% 24.93/4.26 Horn 186
% 24.93/4.26 unary 30
% 24.93/4.26 binary 61
% 24.93/4.26 lits 802
% 24.93/4.26 lits eq 100
% 24.93/4.26 fd_pure 0
% 24.93/4.26 fd_pseudo 0
% 24.93/4.26 fd_cond 11
% 24.93/4.26 fd_pseudo_cond 30
% 24.93/4.26 AC symbols 0
% 24.93/4.26
% 24.93/4.26 ------ Input Options Time Limit: Unbounded
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26 ------
% 24.93/4.26 Current options:
% 24.93/4.26 ------
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26 ------ Proving...
% 24.93/4.26
% 24.93/4.26
% 24.93/4.26 % SZS status Theorem for theBenchmark.p
% 24.93/4.26
% 24.93/4.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.93/4.27
% 24.93/4.27
%------------------------------------------------------------------------------