%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT084+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 : 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 08:01:28 AM UTC 2026
% Result : Theorem 12.22s 2.12s
% Output : CNFRefutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 31 ( 10 ~; 6 |; 12 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 22 ( 1 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl432,conjecture,
~ ? [X0,X1,X2] :
( leq(v200,X2)
& 'in$ulopen'(X2,v0,v200)
& less(v400,X1)
& 'in$ulopen'(X1,v0,v400)
& leq(v600,X0)
& 'in$ulopen'(X0,v0,v600) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( leq(v200,X2)
& 'in$ulopen'(X2,v0,v200)
& less(v400,X1)
& 'in$ulopen'(X1,v0,v400)
& leq(v600,X0)
& 'in$ulopen'(X0,v0,v600) ),
inference(negate_conjecture,[status(cth)],[odrl432]) ).
cnf(c16,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c20,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c22,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c31,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c63,plain,
'in$ulopen'(sK61,v0,v400),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
less(v400,sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v400,sK61),
inference(resolution,[status(thm)],[c20,c64]) ).
cnf(d1,plain,
( ~ leq(sK61,v400)
| sK61 = v400 ),
inference(resolution,[status(thm)],[c22,d0]) ).
cnf(d2,plain,
leq(sK61,v400),
inference(resolution,[status(thm)],[c31,c63]) ).
cnf(d3,plain,
sK61 = v400,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
less(v400,v400),
inference(demodulation,[status(thm)],[c64,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c16,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.49 % Computer : n012.cluster.edu
% 0.04/0.49 % Model : x86_64 x86_64
% 0.04/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.49 % Memory : 8046.5625MB
% 0.04/0.49 % OS : Linux 6.8.0-71-generic
% 0.04/0.49 % CPULimit : 300
% 0.04/0.49 % WCLimit : 300
% 0.04/0.49 % DateTime : Sat Sep 26 00:12:36 UTC 2026
% 0.04/0.49 % CPUTime :
% 0.04/0.49 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.22/2.12 % SZS status Theorem for theBenchmark.p
% 12.22/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------