%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT076+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 08:01:27 AM UTC 2026
% Result : Theorem 12.54s 1.99s
% Output : CNFRefutation 12.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 35 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 8 ~; 11 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v400_v800,axiom,
less(v400,v800) ).
fof(transitive,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(odrl311,conjecture,
! [X0] :
( leq(v800,X0)
=> leq(v400,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( leq(v800,X0)
=> leq(v400,X0) ),
inference(negate_conjecture,[status(cth)],[odrl311]) ).
cnf(c5,plain,
less(v400,v800),
inference(clausification,[status(esa)],[ord_v400_v800]) ).
cnf(c10,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[transitive]) ).
cnf(c12,plain,
( X0 = X1
| less(X0,X1)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c13,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c54,plain,
leq(v800,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c55,plain,
~ leq(v400,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v400,v800),
inference(resolution,[status(thm)],[c13,c5]) ).
cnf(d1,plain,
( less(v800,sK60)
| v800 = sK60 ),
inference(resolution,[status(thm)],[c12,c54]) ).
cnf(d2,plain,
( ~ less(X0,v800)
| less(X0,sK60)
| v800 = sK60 ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( less(v400,sK60)
| v800 = sK60 ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( leq(v400,sK60)
| v800 = sK60 ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
v800 = sK60,
inference(resolution,[status(thm)],[c55,d4]) ).
cnf(d6,plain,
~ leq(v400,v800),
inference(demodulation,[status(thm)],[c55,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT076+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
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 00:11:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.54/1.99 % SZS status Theorem for theBenchmark.p
% 12.54/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------