%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT087+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 : n031.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 27 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 7 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 1 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl500,plain,
? [X] : in_lopen(X,v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl500) ).
fof(odrl500_negated,plain,
~ ? [X] : in_lopen(X,v0,v600),
inference(negate_conjecture,[status(cth)],[odrl500]) ).
cnf(54,plain,
~ in_lopen(X0,v0,v600),
inference(cnf,[status(esa)],[odrl500_negated]) ).
cnf(l0,plain,
~ in_lopen(v200,v0,v600),
inference(instantiation,[status(thm)],[54]) ).
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(16,plain,
( ~ leq(X0,X1)
| ~ less(X2,X0)
| in_lopen(X0,X2,X1) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l1,plain,
( ~ leq(v200,v600)
| ~ less(v0,v200)
| in_lopen(v200,v0,v600) ),
inference(instantiation,[status(thm)],[16]) ).
fof(leq_def,plain,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('Axioms/MGT002+0.ax',leq_def) ).
cnf(4,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l2,plain,
( ~ less(v200,v600)
| leq(v200,v600) ),
inference(instantiation,[status(thm)],[4]) ).
fof(ord_v200_v600,plain,
less(v200,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v600) ).
cnf(50,plain,
less(v200,v600),
inference(cnf,[status(esa)],[ord_v200_v600]) ).
cnf(l4,plain,
less(v200,v600),
inference(instantiation,[status(thm)],[50]) ).
fof(ord_v0_v200,plain,
less(v0,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v200) ).
cnf(48,plain,
less(v0,v200),
inference(cnf,[status(esa)],[ord_v0_v200]) ).
cnf(l12,plain,
less(v0,v200),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT087+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
% 0.09/0.37 % Computer : n031.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 7 14:24:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % launching worker at depth: 1
% 0.09/0.38 % launching worker at depth: 5
% 0.09/0.38 % launching worker at depth: 8
% 0.09/0.38 % launching worker at depth: 4
% 0.09/0.38 % launching worker at depth: 2
% 0.09/0.38 % launching worker at depth: 6
% 0.09/0.38 % launching worker at depth: 7
% 0.09/0.38 % launching worker at depth: 3
% 0.09/0.38 % launching worker at depth: 9
% 0.09/0.38 % launching worker at depth: 10
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------