%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT080+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 : n009.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 1.01s 0.47s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 50 ( 18 ~; 12 |; 17 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 31 ( 2 sgn 10 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl365,plain,
~ ? [X,Y,Z,W] :
( in_closed(X,v600,v600)
& in_closed(X,v800,v800)
& less(v100,Y)
& in_open(Y,v0,v500)
& leq(v8,Z)
& in_lopen(Z,v0,v32)
& in_lopen(W,v0,v300)
& leq(v150,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl365) ).
fof(odrl365_negated,plain,
~ ~ ? [X,Y,Z,W] :
( in_closed(X,v600,v600)
& in_closed(X,v800,v800)
& less(v100,Y)
& in_open(Y,v0,v500)
& leq(v8,Z)
& in_lopen(Z,v0,v32)
& in_lopen(W,v0,v300)
& leq(v150,W) ),
inference(negate_conjecture,[status(cth)],[odrl365]) ).
cnf(126,plain,
in_closed(sK5,v600,v600),
inference(cnf,[status(esa)],[odrl365_negated]) ).
cnf(l0,plain,
in_closed(sK5,v600,v600),
inference(instantiation,[status(thm)],[126]) ).
fof(in_closed,plain,
! [X,A,B] :
( in_closed(X,A,B)
<=> ( leq(A,X)
& leq(X,B) ) ),
file('Axioms/MGT002+2.ax',in_closed) ).
cnf(12,plain,
( ~ in_closed(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[in_closed]) ).
cnf(l1,plain,
( ~ in_closed(sK5,v600,v600)
| leq(sK5,v600) ),
inference(instantiation,[status(thm)],[12]) ).
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(l26,plain,
( ~ leq(v800,sK5)
| ~ leq(sK5,v600)
| leq(v800,v600) ),
inference(instantiation,[status(thm)],[10]) ).
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(l27,plain,
( ~ leq(v800,v600)
| ~ less(v600,v800)
| less(v800,v800) ),
inference(instantiation,[status(thm)],[8]) ).
fof(ord_v600_v800,plain,
less(v600,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v800) ).
cnf(89,plain,
less(v600,v800),
inference(cnf,[status(esa)],[ord_v600_v800]) ).
cnf(l31,plain,
less(v600,v800),
inference(instantiation,[status(thm)],[89]) ).
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(l34,plain,
~ less(v800,v800),
inference(instantiation,[status(thm)],[0]) ).
cnf(11,plain,
( ~ in_closed(X0,X1,X2)
| leq(X1,X0) ),
inference(cnf,[status(esa)],[in_closed]) ).
cnf(l38,plain,
( ~ in_closed(sK5,v800,v800)
| leq(v800,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(127,plain,
in_closed(sK5,v800,v800),
inference(cnf,[status(esa)],[odrl365_negated]) ).
cnf(l39,plain,
in_closed(sK5,v800,v800),
inference(instantiation,[status(thm)],[127]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l26,l27,l31,l34,l38,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT080+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
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 14:16:07 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % launching worker at depth: 1
% 0.07/0.35 % launching worker at depth: 2
% 0.07/0.35 % launching worker at depth: 5
% 0.07/0.35 % launching worker at depth: 3
% 0.07/0.35 % launching worker at depth: 4
% 0.07/0.35 % launching worker at depth: 8
% 0.07/0.35 % launching worker at depth: 6
% 0.07/0.35 % launching worker at depth: 7
% 0.07/0.35 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 1.01/0.47 % SZS status Theorem for theBenchmark
% 1.01/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------