%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT088+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 : n016.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 06:11:33 AM UTC 2026
% Result : Theorem 0.97s 0.49s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 13 |; 4 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 19 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl509,plain,
? [X] :
( less(v200,X)
& in_lopen(X,v0,v400) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl509) ).
fof(odrl509_negated,plain,
~ ? [X] :
( less(v200,X)
& in_lopen(X,v0,v400) ),
inference(negate_conjecture,[status(cth)],[odrl509]) ).
cnf(63,plain,
( ~ less(v200,X0)
| ~ in_lopen(X0,v0,v400) ),
inference(cnf,[status(esa)],[odrl509_negated]) ).
cnf(l0,plain,
( ~ less(v200,v400)
| ~ in_lopen(v400,v0,v400) ),
inference(instantiation,[status(thm)],[63]) ).
fof(ord_v200_v400,plain,
less(v200,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v400) ).
cnf(54,plain,
less(v200,v400),
inference(cnf,[status(esa)],[ord_v200_v400]) ).
cnf(l1,plain,
less(v200,v400),
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(18,plain,
( ~ leq(X0,X1)
| ~ less(X2,X0)
| in_lopen(X0,X2,X1) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l3,plain,
( ~ leq(v400,v400)
| ~ less(v0,v400)
| in_lopen(v400,v0,v400) ),
inference(instantiation,[status(thm)],[18]) ).
fof(transitive,plain,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',transitive) ).
cnf(1,plain,
( ~ less(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[transitive]) ).
cnf(l8,plain,
( ~ less(v0,v200)
| ~ less(v200,v400)
| less(v0,v400) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
less(v200,v400),
inference(instantiation,[status(thm)],[54]) ).
fof(ord_v0_v200,plain,
less(v0,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v200) ).
cnf(51,plain,
less(v0,v200),
inference(cnf,[status(esa)],[ord_v0_v200]) ).
cnf(l16,plain,
less(v0,v200),
inference(instantiation,[status(thm)],[51]) ).
fof(leq_def,plain,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('Axioms/MGT002+0.ax',leq_def) ).
cnf(5,plain,
( X0 != X1
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l9,plain,
( v400 != v400
| leq(v400,v400) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l8,l13,l16,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 14:26:47 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.37 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.97/0.49 % SZS status Theorem for theBenchmark
% 0.97/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------