%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT078+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 08:01:27 AM UTC 2026
% Result : Theorem 14.79s 2.33s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 60 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 16 ~; 12 |; 14 &)
% ( 2 <=>; 3 =>; 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 36 ( 1 sgn 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v600_v1200,axiom,
less(v600,v1200) ).
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_less_trans,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& leq(X0,X1) )
=> less(X0,X2) ) ).
fof(less_leq_trans,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
fof(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl341,conjecture,
~ ? [X0,X1,X2] :
( leq(v8,X2)
& 'in$ulopen'(X2,v0,v32)
& leq(v200,X1)
& 'in$ulopen'(X1,v0,v800)
& leq(v1200,X0)
& 'in$ulopen'(X0,v0,v600) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( leq(v8,X2)
& 'in$ulopen'(X2,v0,v32)
& leq(v200,X1)
& 'in$ulopen'(X1,v0,v800)
& leq(v1200,X0)
& 'in$ulopen'(X0,v0,v600) ),
inference(negate_conjecture,[status(cth)],[odrl341]) ).
cnf(c26,plain,
less(v600,v1200),
inference(clausification,[status(esa)],[ord_v600_v1200]) ).
cnf(c49,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c53,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c55,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c57,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_less_trans]) ).
cnf(c58,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_leq_trans]) ).
cnf(c64,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c94,plain,
'in$ulopen'(sK60,v0,v600),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c95,plain,
leq(v1200,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(sK60,v600),
inference(resolution,[status(thm)],[c64,c94]) ).
cnf(d1,plain,
( ~ leq(v600,sK60)
| v600 = sK60 ),
inference(resolution,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
( ~ less(X0,v1200)
| less(X0,sK60) ),
inference(resolution,[status(thm)],[c58,c95]) ).
cnf(d3,plain,
less(v600,sK60),
inference(resolution,[status(thm)],[d2,c26]) ).
cnf(d4,plain,
leq(v600,sK60),
inference(resolution,[status(thm)],[d3,c53]) ).
cnf(d5,plain,
v600 = sK60,
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ less(v600,X0)
| less(sK60,X0) ),
inference(resolution,[status(thm)],[d0,c57]) ).
cnf(d7,plain,
less(sK60,sK60),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
less(v600,sK60),
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
less(v600,v600),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c49,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n001.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 00:17:41 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.79/2.33 % SZS status Theorem for theBenchmark.p
% 14.79/2.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------