%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM560+2 : 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 : n005.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 08:13:09 AM UTC 2026
% Result : Theorem 13.56s 2.39s
% Output : CNFRefutation 13.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 20 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 16 ( 3 ~; 3 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,X0) = xy
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,X0) = xy
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c148,plain,
( aElementOf0(X0,szDzozmdt0(xF))
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c151,plain,
aElementOf0(sK136,sdtlbdtrb0(xF,xy)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c152,plain,
~ aElementOf0(sK136,szDzozmdt0(xF)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
aElementOf0(sK136,szDzozmdt0(xF)),
inference(resolution,[status(thm)],[c148,c151]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c152,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM560+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n005.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Sat Sep 26 03:13:47 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/2.39 % SZS status Theorem for theBenchmark.p
% 13.56/2.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------