%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:13:15 AM UTC 2026
% Result : Theorem 28.06s 6.00s
% Output : CNFRefutation 28.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 33 ( 9 ~; 8 |; 10 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3671,hypothesis,
! [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)) ) ) ).
fof(m__4448,hypothesis,
aElementOf0(xi,szNzAzT0) ).
fof(m__4448_02,hypothesis,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( X0 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ) ).
fof(m__,conjecture,
( aSubsetOf0(xY,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aSubsetOf0(xY,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c245,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3671]) ).
cnf(c349,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__4448]) ).
cnf(c354,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xY) ),
inference(clausification,[status(esa)],[m__4448_02]) ).
cnf(c359,plain,
aElementOf0(sK249,xY),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c360,plain,
~ aElementOf0(sK249,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,xY)
| ~ aElementOf0(xi,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c245,c354]) ).
cnf(d1,plain,
( ~ aElementOf0(X0,xY)
| aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c349,d0]) ).
cnf(d2,plain,
aElementOf0(sK249,szNzAzT0),
inference(resolution,[status(thm)],[d1,c359]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c360,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 03:19:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.06/6.00 % SZS status Theorem for theBenchmark.p
% 28.06/6.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------