%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT083+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 08:01:28 AM UTC 2026
% Result : Theorem 12.00s 16.93s
% Output : CNFRefutation 12.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 4 &)
% ( 2 <=>; 1 =>; 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 : 21 ( 1 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(leq_less_trans,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& leq(X0,X1) )
=> less(X0,X2) ) ).
fof(in_open,axiom,
! [X0,X1,X2] :
( 'in$uopen'(X0,X1,X2)
<=> ( less(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl423,conjecture,
~ ? [X0] :
( less(v600,X0)
& 'in$uopen'(X0,v0,v600) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
( less(v600,X0)
& 'in$uopen'(X0,v0,v600) ),
inference(negate_conjecture,[status(cth)],[odrl423]) ).
cnf(c4,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c8,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c12,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_less_trans]) ).
cnf(c25,plain,
( less(X0,X2)
| ~ 'in$uopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_open]) ).
cnf(c49,plain,
'in$uopen'(sK60,v0,v600),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c50,plain,
less(v600,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v600,sK60),
inference(resolution,[status(thm)],[c8,c50]) ).
cnf(d1,plain,
( ~ less(sK60,X0)
| less(v600,X0) ),
inference(resolution,[status(thm)],[c12,d0]) ).
cnf(d2,plain,
less(sK60,v600),
inference(resolution,[status(thm)],[c25,c49]) ).
cnf(d3,plain,
less(v600,v600),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT083+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
% 0.09/15.38 % Computer : n026.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Sat Sep 26 00:15:55 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.00/16.93 % SZS status Theorem for theBenchmark.p
% 12.00/16.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------