%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT103+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 : n019.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 08:01:30 AM UTC 2026
% Result : Unsatisfiable 11.26s 1.90s
% Output : CNFRefutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 3 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v600_v800,axiom,
less(v600,v800) ).
fof(contradiction,axiom,
( less(v600,v800)
& less(v800,v600) ) ).
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(transitive,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
cnf(c4,plain,
less(v600,v800),
inference(clausification,[status(esa)],[ord_v600_v800]) ).
cnf(c8,plain,
less(v800,v600),
inference(clausification,[status(esa)],[contradiction]) ).
cnf(c10,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c11,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[transitive]) ).
cnf(d0,plain,
( ~ less(X0,v800)
| less(X0,v600) ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(d1,plain,
less(v600,v600),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c10,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT103+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
% 0.07/0.36 % Computer : n019.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 00:13:38 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 11.26/1.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------