%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM561+2 : 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 : n010.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 14.90s 2.21s
% Output : CNFRefutation 14.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 12 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2911_02,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)) ).
fof(m__,conjecture,
( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [X0] :
( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
& aElementOf0(X0,szDzozmdt0(xF)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [X0] :
( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
& aElementOf0(X0,szDzozmdt0(xF)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c159,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(clausification,[status(esa)],[m__2911_02]) ).
cnf(c160,plain,
( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(X0,szDzozmdt0(xF)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ aElementOf0(xx,szDzozmdt0(xF)),
inference(equality_resolution,[status(thm)],[c160]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:14:35 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.90/2.21 % SZS status Theorem for theBenchmark.p
% 14.90/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------