%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:01:29 AM UTC 2026
% Result : Theorem 12.94s 2.12s
% Output : CNFRefutation 12.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 8 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v400,axiom,
less(v0,v400) ).
fof(ord_v200_v400,axiom,
less(v200,v400) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl509,conjecture,
? [X0] :
( 'in$ulopen'(X0,v0,v400)
& less(v200,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'in$ulopen'(X0,v0,v400)
& less(v200,X0) ),
inference(negate_conjecture,[status(cth)],[odrl509]) ).
cnf(c5,plain,
less(v0,v400),
inference(clausification,[status(esa)],[ord_v0_v400]) ).
cnf(c7,plain,
less(v200,v400),
inference(clausification,[status(esa)],[ord_v200_v400]) ).
cnf(c21,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c34,plain,
( ~ leq(X0,X2)
| ~ less(X1,X0)
| 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c63,plain,
( ~ 'in$ulopen'(X0,v0,v400)
| ~ less(v200,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d1,plain,
( ~ less(v200,X0)
| ~ leq(X0,v400)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c34,c63]) ).
cnf(d2,plain,
( ~ less(v200,v400)
| ~ less(v0,v400) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ less(v200,v400),
inference(resolution,[status(thm)],[c5,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c7,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:15:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.94/2.12 % SZS status Theorem for theBenchmark.p
% 12.94/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------