%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM622+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 : n014.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 08:13:22 AM UTC 2026
% Result : Theorem 47.21s 14.05s
% Output : CNFRefutation 47.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 20 ( 5 ~; 3 |; 9 &)
% ( 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 : 12 ( 12 usr; 7 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__5309,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ) ).
fof(m__5461,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ) ).
fof(m__,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)) ).
fof(negated_conjecture,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
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(c449,plain,
aElementOf0(xn,szNzAzT0),
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c450,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c465,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
inference(clausification,[status(esa)],[m__5461]) ).
cnf(c467,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c450,c373]) ).
cnf(d1,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(resolution,[status(thm)],[c449,d0]) ).
cnf(d2,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c465,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c467,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM622+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 03:29:23 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.21/14.05 % SZS status Theorem for theBenchmark.p
% 47.21/14.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------