%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM632+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 : n003.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 08:13:24 AM UTC 2026
% Result : Theorem 9.97s 5.86s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 6 ( 2 ~; 0 |; 4 &)
% ( 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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__5568,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd) ).
fof(negated_conjecture,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c447,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(clausification,[status(esa)],[m__5309]) ).
cnf(c454,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(clausification,[status(esa)],[m__5568]) ).
cnf(c455,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(demodulation,[status(thm)],[c454,c447]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c455,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n003.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sat Sep 26 03:32:38 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.97/5.86 % SZS status Theorem for theBenchmark.p
% 9.97/5.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------