%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT081+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 : n005.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 08:01:28 AM UTC 2026
% Result : Theorem 12.90s 2.08s
% Output : CNFRefutation 12.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 46 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 13 ~; 9 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 27 ( 1 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v400_v800,axiom,
less(v400,v800) ).
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(leq_antisym,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ).
fof(less_leq_trans,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
fof(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl402,conjecture,
~ ? [X0,X1] :
( leq(v200,X1)
& 'in$ulopen'(X1,v0,v600)
& leq(v800,X0)
& 'in$ulopen'(X0,v0,v400) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0,X1] :
( leq(v200,X1)
& 'in$ulopen'(X1,v0,v600)
& leq(v800,X0)
& 'in$ulopen'(X0,v0,v400) ),
inference(negate_conjecture,[status(cth)],[odrl402]) ).
cnf(c13,plain,
less(v400,v800),
inference(clausification,[status(esa)],[ord_v400_v800]) ).
cnf(c25,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c29,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c31,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c34,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_leq_trans]) ).
cnf(c40,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c70,plain,
'in$ulopen'(sK60,v0,v400),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
leq(v800,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ less(X0,v800)
| less(X0,sK60) ),
inference(resolution,[status(thm)],[c34,c71]) ).
cnf(d1,plain,
less(v400,sK60),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
leq(v400,sK60),
inference(resolution,[status(thm)],[d1,c29]) ).
cnf(d3,plain,
( ~ leq(sK60,v400)
| sK60 = v400 ),
inference(resolution,[status(thm)],[d2,c31]) ).
cnf(d4,plain,
leq(sK60,v400),
inference(resolution,[status(thm)],[c40,c70]) ).
cnf(d5,plain,
sK60 = v400,
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
less(v400,v400),
inference(demodulation,[status(thm)],[d1,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c25,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT081+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
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 00:12:02 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.90/2.08 % SZS status Theorem for theBenchmark.p
% 12.90/2.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------