%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT081+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 : n002.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 06:11:32 AM UTC 2026
% Result : Theorem 0.91s 0.47s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 10 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl402,plain,
~ ? [X,Y] :
( in_lopen(X,v0,v400)
& leq(v800,X)
& in_lopen(Y,v0,v600)
& leq(v200,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl402) ).
fof(odrl402_negated,plain,
~ ~ ? [X,Y] :
( in_lopen(X,v0,v400)
& leq(v800,X)
& in_lopen(Y,v0,v600)
& leq(v200,Y) ),
inference(negate_conjecture,[status(cth)],[odrl402]) ).
cnf(71,plain,
leq(v800,sK5),
inference(cnf,[status(esa)],[odrl402_negated]) ).
cnf(l0,plain,
leq(v800,sK5),
inference(instantiation,[status(thm)],[71]) ).
fof(leq_trans,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('Axioms/MGT002+0.ax',leq_trans) ).
cnf(10,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[leq_trans]) ).
cnf(l1,plain,
( ~ leq(v800,sK5)
| ~ leq(sK5,v400)
| leq(v800,v400) ),
inference(instantiation,[status(thm)],[10]) ).
fof(in_lopen,plain,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( less(A,X)
& leq(X,B) ) ),
file('Axioms/MGT002+2.ax',in_lopen) ).
cnf(15,plain,
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l2,plain,
( ~ in_lopen(sK5,v0,v400)
| leq(sK5,v400) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(70,plain,
in_lopen(sK5,v0,v400),
inference(cnf,[status(esa)],[odrl402_negated]) ).
cnf(l5,plain,
in_lopen(sK5,v0,v400),
inference(instantiation,[status(thm)],[70]) ).
fof(leq_less_trans,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',leq_less_trans) ).
cnf(8,plain,
( ~ leq(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[leq_less_trans]) ).
cnf(l9,plain,
( ~ leq(v800,v400)
| ~ less(v400,v800)
| less(v800,v800) ),
inference(instantiation,[status(thm)],[8]) ).
fof(ord_v400_v800,plain,
less(v400,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v800) ).
cnf(58,plain,
less(v400,v800),
inference(cnf,[status(esa)],[ord_v400_v800]) ).
cnf(l10,plain,
less(v400,v800),
inference(instantiation,[status(thm)],[58]) ).
fof(irreflexive,plain,
! [X] : ~ less(X,X),
file('Axioms/MGT002+0.ax',irreflexive) ).
cnf(0,plain,
~ less(X0,X0),
inference(cnf,[status(esa)],[irreflexive]) ).
cnf(l20,plain,
~ less(v800,v800),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l9,l10,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT081+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
% 0.09/0.36 % Computer : n002.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 : Mon Sep 7 14:19:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 7
% 0.09/0.37 % launching worker at depth: 8
% 0.09/0.37 % launching worker at depth: 9
% 0.14/0.38 % launching worker at depth: 10
% 0.91/0.47 % SZS status Theorem for theBenchmark
% 0.91/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------