%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Tue Sep 8 06:11:31 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 12 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl327,plain,
? [X,Y] :
( less(v200,X)
& in_open(X,v0,v800)
& less(v100,Y)
& in_open(Y,v0,v500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl327) ).
fof(odrl327_negated,plain,
~ ? [X,Y] :
( less(v200,X)
& in_open(X,v0,v800)
& less(v100,Y)
& in_open(Y,v0,v500) ),
inference(negate_conjecture,[status(cth)],[odrl327]) ).
cnf(72,plain,
( ~ in_open(X0,v0,v800)
| ~ in_open(X1,v0,v500)
| ~ less(v200,X0)
| ~ less(v100,X1) ),
inference(cnf,[status(esa)],[odrl327_negated]) ).
cnf(l0,plain,
( ~ in_open(v500,v0,v800)
| ~ in_open(v200,v0,v500)
| ~ less(v200,v500)
| ~ less(v100,v200) ),
inference(instantiation,[status(thm)],[72]) ).
fof(in_open,plain,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(A,X)
& less(X,B) ) ),
file('Axioms/MGT002+2.ax',in_open) ).
cnf(24,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| in_open(X0,X2,X1) ),
inference(cnf,[status(esa)],[in_open]) ).
cnf(l2,plain,
( ~ less(v500,v800)
| ~ less(v0,v500)
| in_open(v500,v0,v800) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1,plain,
( ~ less(v200,v500)
| ~ less(v0,v200)
| in_open(v200,v0,v500) ),
inference(instantiation,[status(thm)],[24]) ).
fof(ord_v0_v500,plain,
less(v0,v500),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v500) ).
cnf(54,plain,
less(v0,v500),
inference(cnf,[status(esa)],[ord_v0_v500]) ).
cnf(l8,plain,
less(v0,v500),
inference(instantiation,[status(thm)],[54]) ).
fof(ord_v200_v500,plain,
less(v200,v500),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v500) ).
cnf(59,plain,
less(v200,v500),
inference(cnf,[status(esa)],[ord_v200_v500]) ).
cnf(l6,plain,
less(v200,v500),
inference(instantiation,[status(thm)],[59]) ).
fof(ord_v100_v200,plain,
less(v100,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v100_v200) ).
cnf(56,plain,
less(v100,v200),
inference(cnf,[status(esa)],[ord_v100_v200]) ).
cnf(l5,plain,
less(v100,v200),
inference(instantiation,[status(thm)],[56]) ).
fof(ord_v500_v800,plain,
less(v500,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v500_v800) ).
cnf(61,plain,
less(v500,v800),
inference(cnf,[status(esa)],[ord_v500_v800]) ).
cnf(l15,plain,
less(v500,v800),
inference(instantiation,[status(thm)],[61]) ).
fof(ord_v0_v200,plain,
less(v0,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v200) ).
cnf(53,plain,
less(v0,v200),
inference(cnf,[status(esa)],[ord_v0_v200]) ).
cnf(l10,plain,
less(v0,v200),
inference(instantiation,[status(thm)],[53]) ).
cnf(l3,plain,
less(v200,v500),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l8,l6,l5,l15,l10,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT077+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 14:13:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % launching worker at depth: 2
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 8
% 0.08/0.36 % launching worker at depth: 3
% 0.08/0.36 % launching worker at depth: 5
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 4
% 0.08/0.36 % launching worker at depth: 9
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------