%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 11.77s 2.12s
% Output : CNFRefutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 73 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 33 ~; 29 |; 10 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 1 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v200,axiom,
less(v0,v200) ).
fof(ord_v200_v400,axiom,
less(v200,v400) ).
fof(ord_v600_v800,axiom,
less(v600,v800) ).
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(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$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl462,conjecture,
? [X0,X1] :
( ( ( 'in$ulopen'(X1,v0,v400)
& ~ 'in$ulopen'(X0,v0,v600) )
| ( ~ 'in$ulopen'(X1,v0,v400)
& 'in$ulopen'(X0,v0,v600) ) )
& 'in$ulopen'(X1,v0,v200)
& leq(v800,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( ( ( 'in$ulopen'(X1,v0,v400)
& ~ 'in$ulopen'(X0,v0,v600) )
| ( ~ 'in$ulopen'(X1,v0,v400)
& 'in$ulopen'(X0,v0,v600) ) )
& 'in$ulopen'(X1,v0,v200)
& leq(v800,X0) ),
inference(negate_conjecture,[status(cth)],[odrl462]) ).
cnf(c5,plain,
less(v0,v200),
inference(clausification,[status(esa)],[ord_v0_v200]) ).
cnf(c9,plain,
less(v200,v400),
inference(clausification,[status(esa)],[ord_v200_v400]) ).
cnf(c14,plain,
less(v600,v800),
inference(clausification,[status(esa)],[ord_v600_v800]) ).
cnf(c25,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c29,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c30,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c34,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_leq_trans]) ).
cnf(c40,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c41,plain,
( ~ leq(X0,X2)
| ~ less(X1,X0)
| 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c71,plain,
( ~ 'in$ulopen'(X1,v0,v400)
| 'in$ulopen'(X0,v0,v600)
| ~ 'in$ulopen'(X1,v0,v200)
| ~ leq(v800,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v200,v400),
inference(resolution,[status(thm)],[c29,c9]) ).
cnf(d1,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c30]) ).
cnf(d2,plain,
( ~ 'in$ulopen'(X0,v0,v200)
| 'in$ulopen'(X1,v0,v600)
| ~ leq(v800,X1)
| ~ leq(X0,v400)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c41,c71]) ).
cnf(d3,plain,
( ~ leq(X0,v200)
| ~ less(v0,X0)
| 'in$ulopen'(X1,v0,v600)
| ~ leq(v800,X1)
| ~ leq(X0,v400)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d2,c41]) ).
cnf(d4,plain,
( 'in$ulopen'(v800,v0,v600)
| ~ leq(X0,v400)
| ~ leq(X0,v200)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( 'in$ulopen'(v800,v0,v600)
| ~ leq(v200,v200)
| ~ less(v0,v200) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( 'in$ulopen'(v800,v0,v600)
| ~ leq(v200,v200) ),
inference(resolution,[status(thm)],[c5,d5]) ).
cnf(d7,plain,
'in$ulopen'(v800,v0,v600),
inference(resolution,[status(thm)],[d1,d6]) ).
cnf(d8,plain,
leq(v800,v600),
inference(resolution,[status(thm)],[d7,c40]) ).
cnf(d9,plain,
( ~ less(X0,v800)
| less(X0,v600) ),
inference(resolution,[status(thm)],[d8,c34]) ).
cnf(d10,plain,
less(v600,v600),
inference(resolution,[status(thm)],[d9,c14]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c25,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 00:12:31 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.77/2.12 % SZS status Theorem for theBenchmark.p
% 11.77/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------