%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT092+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 : n005.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 08:01:29 AM UTC 2026
% Result : Theorem 12.73s 7.07s
% Output : CNFRefutation 12.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 47 ( 1 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 15 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v400,axiom,
less(v0,v400) ).
fof(ord_v400_v800,axiom,
less(v400,v800) ).
fof(ord_v800_v1200,axiom,
less(v800,v1200) ).
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(sharpness_conflict,axiom,
! [X0,X1,X2,X3] :
( ( leq(X1,X3)
& less(X0,X1)
& leq(X0,X3)
& leq(X2,X0) )
=> 'completion$uconflict'(X0,X1,X2,X3) ) ).
fof(odrl633,conjecture,
'completion$uconflict'(v400,v800,v0,v1200) ).
fof(negated_conjecture,negated_conjecture,
~ 'completion$uconflict'(v400,v800,v0,v1200),
inference(negate_conjecture,[status(cth)],[odrl633]) ).
cnf(c4,plain,
less(v0,v400),
inference(clausification,[status(esa)],[ord_v0_v400]) ).
cnf(c5,plain,
less(v400,v800),
inference(clausification,[status(esa)],[ord_v400_v800]) ).
cnf(c6,plain,
less(v800,v1200),
inference(clausification,[status(esa)],[ord_v800_v1200]) ).
cnf(c14,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[transitive]) ).
cnf(c17,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c27,plain,
( ~ leq(X2,X0)
| ~ less(X0,X1)
| ~ leq(X0,X3)
| ~ leq(X1,X3)
| 'completion$uconflict'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[sharpness_conflict]) ).
cnf(c64,plain,
~ 'completion$uconflict'(v400,v800,v0,v1200),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(v400,v1200)
| ~ leq(v800,v1200)
| ~ leq(v0,v400)
| ~ less(v400,v800) ),
inference(resolution,[status(thm)],[c27,c64]) ).
cnf(d1,plain,
( ~ leq(v800,v1200)
| ~ leq(v400,v1200)
| ~ leq(v0,v400) ),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
leq(v0,v400),
inference(resolution,[status(thm)],[c17,c4]) ).
cnf(d3,plain,
( ~ leq(v800,v1200)
| ~ leq(v400,v1200) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
leq(v800,v1200),
inference(resolution,[status(thm)],[c17,c6]) ).
cnf(d5,plain,
~ leq(v400,v1200),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ less(X0,v800)
| less(X0,v1200) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(d7,plain,
less(v400,v1200),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
leq(v400,v1200),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT092+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
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 00:12:22 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.73/7.07 % SZS status Theorem for theBenchmark.p
% 12.73/7.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------