%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM615+1 : 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 : n018.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 08:13:20 AM UTC 2026
% Result : Theorem 18.45s 7.78s
% Output : CNFRefutation 18.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 22 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 1 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4982,hypothesis,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO) ).
fof(m__,conjecture,
? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xe,X0) = xp
& aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c225,plain,
( aElementOf0(sK191(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(clausification,[status(esa)],[m__4982]) ).
cnf(c226,plain,
( sdtlpdtrp0(xe,sK191(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(clausification,[status(esa)],[m__4982]) ).
cnf(c237,plain,
aElementOf0(xp,xO),
inference(clausification,[status(esa)],[m__5182]) ).
cnf(c242,plain,
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sdtlpdtrp0(xe,sK191(xp)) = xp,
inference(resolution,[status(thm)],[c226,c237]) ).
cnf(d1,plain,
( ~ aElementOf0(sK191(xp),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| xp != xp ),
inference(superposition,[status(thm)],[d0,c242]) ).
cnf(d2,plain,
~ aElementOf0(sK191(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
~ aElementOf0(xp,xO),
inference(resolution,[status(thm)],[d2,c225]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c237,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n018.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 26 03:30:12 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.45/7.78 % SZS status Theorem for theBenchmark.p
% 18.45/7.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------