%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.86s 0.49s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 6 |; 12 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 1 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl432,plain,
~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& leq(v600,X)
& in_lopen(Y,v0,v400)
& less(v400,Y)
& in_lopen(Z,v0,v200)
& leq(v200,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl432) ).
fof(odrl432_negated,plain,
~ ~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& leq(v600,X)
& in_lopen(Y,v0,v400)
& less(v400,Y)
& in_lopen(Z,v0,v200)
& leq(v200,Z) ),
inference(negate_conjecture,[status(cth)],[odrl432]) ).
cnf(63,plain,
in_lopen(sK6,v0,v400),
inference(cnf,[status(esa)],[odrl432_negated]) ).
cnf(l0,plain,
in_lopen(sK6,v0,v400),
inference(instantiation,[status(thm)],[63]) ).
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(l1,plain,
( ~ in_lopen(sK6,v0,v400)
| leq(sK6,v400) ),
inference(instantiation,[status(thm)],[15]) ).
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(sK6,v400)
| ~ less(v400,sK6)
| less(sK6,sK6) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(64,plain,
less(v400,sK6),
inference(cnf,[status(esa)],[odrl432_negated]) ).
cnf(l3,plain,
less(v400,sK6),
inference(instantiation,[status(thm)],[64]) ).
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(sK6,sK6),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 14:18:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 2
% 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: 8
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.86/0.49 % SZS status Theorem for theBenchmark
% 0.86/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------