%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT106+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 : n001.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 08:01:31 AM UTC 2026
% Result : Unsatisfiable 12.83s 2.09s
% Output : CNFRefutation 12.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 44 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 11 ~; 10 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v600_v800,axiom,
less(v600,v800) ).
fof(wit_in_lopen,axiom,
'in$ulopen'(w,v0,v600) ).
fof(wit_leq,axiom,
leq(v800,w) ).
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(leq_antisym,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ).
fof(leq_trans,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
cnf(c4,plain,
less(v600,v800),
inference(clausification,[status(esa)],[ord_v600_v800]) ).
cnf(c9,plain,
'in$ulopen'(w,v0,v600),
inference(clausification,[status(esa)],[wit_in_lopen]) ).
cnf(c10,plain,
leq(v800,w),
inference(clausification,[status(esa)],[wit_leq]) ).
cnf(c11,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c15,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c17,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c21,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_trans]) ).
cnf(c26,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(d0,plain,
leq(v600,v800),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(d1,plain,
( ~ leq(v800,v600)
| v800 = v600 ),
inference(resolution,[status(thm)],[c17,d0]) ).
cnf(d2,plain,
( ~ leq(w,v800)
| w = v800 ),
inference(resolution,[status(thm)],[c17,c10]) ).
cnf(d3,plain,
leq(w,v600),
inference(resolution,[status(thm)],[c26,c9]) ).
cnf(d4,plain,
( ~ leq(X0,v600)
| leq(X0,v800) ),
inference(resolution,[status(thm)],[c21,d0]) ).
cnf(d5,plain,
leq(w,v800),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
w = v800,
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
leq(v800,v600),
inference(demodulation,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
v800 = v600,
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
less(v600,v600),
inference(demodulation,[status(thm)],[c4,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c11,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT106+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
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 00:19:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 12.83/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------