%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM557+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 08:13:08 AM UTC 2026
% Result : Theorem 15.84s 7.63s
% Output : CNFRefutation 15.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 20 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 16 ( 4 ~; 5 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2431,hypothesis,
( sbrdtbr0(xP) = xk
& aSubsetOf0(xP,xS)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ).
fof(m__,conjecture,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(xP) = xk
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(xP) = xk
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c189,plain,
aSubsetOf0(xP,xS),
inference(clausification,[status(esa)],[m__2431]) ).
cnf(c190,plain,
sbrdtbr0(xP) = xk,
inference(clausification,[status(esa)],[m__2431]) ).
cnf(c193,plain,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sbrdtbr0(xP) != xk,
inference(resolution,[status(thm)],[c189,c193]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM557+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
% 0.08/5.36 % Computer : n003.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 03:15:13 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.84/7.63 % SZS status Theorem for theBenchmark.p
% 15.84/7.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------