%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT075+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 : n004.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 0.09s 0.36s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 6 |; 4 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 1 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl302,plain,
~ ? [X] :
( in_open(X,v0,v600)
& leq(v600,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl302) ).
fof(odrl302_negated,plain,
~ ~ ? [X] :
( in_open(X,v0,v600)
& leq(v600,X) ),
inference(negate_conjecture,[status(cth)],[odrl302]) ).
cnf(49,plain,
in_open(sK5,v0,v600),
inference(cnf,[status(esa)],[odrl302_negated]) ).
cnf(l0,plain,
in_open(sK5,v0,v600),
inference(instantiation,[status(thm)],[49]) ).
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(21,plain,
( ~ in_open(X0,X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[in_open]) ).
cnf(l1,plain,
( ~ in_open(sK5,v0,v600)
| less(sK5,v600) ),
inference(instantiation,[status(thm)],[21]) ).
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(l2,plain,
( ~ leq(v600,sK5)
| ~ less(sK5,v600)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[8]) ).
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(l4,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
cnf(50,plain,
leq(v600,sK5),
inference(cnf,[status(esa)],[odrl302_negated]) ).
cnf(l3,plain,
leq(v600,sK5),
inference(instantiation,[status(thm)],[50]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT075+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
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:11:30 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 9
% 0.09/0.36 % SZS status Theorem for theBenchmark
% 0.09/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------