%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM617+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 : n016.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 08:13:21 AM UTC 2026
% Result : Theorem 20.90s 3.86s
% Output : CNFRefutation 20.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 1 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5106,hypothesis,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ) ).
fof(m__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ) ).
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0) ).
fof(negated_conjecture,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c420,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ),
inference(clausification,[status(esa)],[m__5106]) ).
cnf(c453,plain,
aElementOf0(xx,xQ),
inference(clausification,[status(esa)],[m__5348]) ).
cnf(c456,plain,
~ aElementOf0(xx,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
aElementOf0(xx,szNzAzT0),
inference(resolution,[status(thm)],[c420,c453]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c456,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM617+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
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:32:59 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.90/3.86 % SZS status Theorem for theBenchmark.p
% 20.90/3.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------