%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT077+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 : n012.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 08:01:27 AM UTC 2026
% Result : Theorem 12.27s 19.01s
% Output : CNFRefutation 12.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 33 ~; 24 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v200,axiom,
less(v0,v200) ).
fof(ord_v0_v500,axiom,
less(v0,v500) ).
fof(ord_v100_v200,axiom,
less(v100,v200) ).
fof(ord_v200_v500,axiom,
less(v200,v500) ).
fof(ord_v500_v800,axiom,
less(v500,v800) ).
fof(in_open,axiom,
! [X0,X1,X2] :
( 'in$uopen'(X0,X1,X2)
<=> ( less(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl327,conjecture,
? [X0,X1] :
( 'in$uopen'(X1,v0,v500)
& less(v100,X1)
& 'in$uopen'(X0,v0,v800)
& less(v200,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( 'in$uopen'(X1,v0,v500)
& less(v100,X1)
& 'in$uopen'(X0,v0,v800)
& less(v200,X0) ),
inference(negate_conjecture,[status(cth)],[odrl327]) ).
cnf(c6,plain,
less(v0,v200),
inference(clausification,[status(esa)],[ord_v0_v200]) ).
cnf(c7,plain,
less(v0,v500),
inference(clausification,[status(esa)],[ord_v0_v500]) ).
cnf(c9,plain,
less(v100,v200),
inference(clausification,[status(esa)],[ord_v100_v200]) ).
cnf(c12,plain,
less(v200,v500),
inference(clausification,[status(esa)],[ord_v200_v500]) ).
cnf(c14,plain,
less(v500,v800),
inference(clausification,[status(esa)],[ord_v500_v800]) ).
cnf(c49,plain,
( ~ less(X0,X2)
| ~ less(X1,X0)
| 'in$uopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_open]) ).
cnf(c72,plain,
( ~ 'in$uopen'(X1,v0,v500)
| ~ less(v100,X1)
| ~ 'in$uopen'(X0,v0,v800)
| ~ less(v200,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'in$uopen'(X1,v0,v500)
| ~ less(v200,X0)
| ~ less(v100,X1)
| ~ less(X0,v800)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c49,c72]) ).
cnf(d1,plain,
( ~ less(X1,v500)
| ~ less(v0,X1)
| ~ less(v200,X0)
| ~ less(v100,X1)
| ~ less(v0,X0)
| ~ less(X0,v800) ),
inference(resolution,[status(thm)],[d0,c49]) ).
cnf(d2,plain,
( ~ less(v100,X0)
| ~ less(v0,v500)
| ~ less(v0,X0)
| ~ less(v500,v800)
| ~ less(X0,v500) ),
inference(resolution,[status(thm)],[d1,c12]) ).
cnf(d3,plain,
( ~ less(v500,v800)
| ~ less(v100,X0)
| ~ less(v0,X0)
| ~ less(X0,v500) ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( ~ less(v100,X0)
| ~ less(v0,X0)
| ~ less(X0,v500) ),
inference(resolution,[status(thm)],[c14,d3]) ).
cnf(d5,plain,
( ~ less(v0,v200)
| ~ less(v200,v500) ),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d6,plain,
~ less(v200,v500),
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c12,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/17.38 % Computer : n012.cluster.edu
% 0.05/17.38 % Model : x86_64 x86_64
% 0.05/17.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/17.38 % Memory : 8046.5625MB
% 0.05/17.38 % OS : Linux 6.8.0-71-generic
% 0.05/17.38 % CPULimit : 300
% 0.05/17.38 % WCLimit : 300
% 0.05/17.38 % DateTime : Sat Sep 26 00:12:17 UTC 2026
% 0.05/17.38 % CPUTime :
% 0.05/17.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.27/19.01 % SZS status Theorem for theBenchmark.p
% 12.27/19.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------