%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:13:18 AM UTC 2026
% Result : Theorem 45.20s 10.22s
% Output : CNFRefutation 45.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 20 ( 7 ~; 4 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4660,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ) ).
fof(m__5034,hypothesis,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ) ).
fof(m__5045,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ) ).
fof(m__,conjecture,
aElementOf0(xx,xS) ).
fof(negated_conjecture,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c373,plain,
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__4660]) ).
cnf(c413,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__5034]) ).
cnf(c414,plain,
sdtlpdtrp0(xe,xi) = xx,
inference(clausification,[status(esa)],[m__5034]) ).
cnf(c415,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(clausification,[status(esa)],[m__5045]) ).
cnf(c417,plain,
~ aElementOf0(xx,xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( aElementOf0(sdtlpdtrp0(xe,xi),xS)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c373,c415]) ).
cnf(d1,plain,
( ~ aElementOf0(xi,szNzAzT0)
| aElementOf0(xx,xS) ),
inference(demodulation,[status(thm)],[d0,c414]) ).
cnf(d2,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c417,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c413,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 03:25:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.20/10.22 % SZS status Theorem for theBenchmark.p
% 45.20/10.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------