%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT076+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 : n003.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 6 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl311,plain,
! [X] :
( leq(v800,X)
=> leq(v400,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl311) ).
fof(odrl311_negated,plain,
~ ! [X] :
( leq(v800,X)
=> leq(v400,X) ),
inference(negate_conjecture,[status(cth)],[odrl311]) ).
cnf(54,plain,
leq(v800,sK5),
inference(cnf,[status(esa)],[odrl311_negated]) ).
cnf(l0,plain,
leq(v800,sK5),
inference(instantiation,[status(thm)],[54]) ).
fof(less_leq_trans,plain,
! [X,Y,Z] :
( ( less(X,Y)
& leq(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',less_leq_trans) ).
cnf(9,plain,
( ~ leq(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf,[status(esa)],[less_leq_trans]) ).
cnf(l1,plain,
( ~ leq(v800,sK5)
| ~ less(v400,v800)
| less(v400,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
fof(ord_v400_v800,plain,
less(v400,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v400_v800) ).
cnf(50,plain,
less(v400,v800),
inference(cnf,[status(esa)],[ord_v400_v800]) ).
cnf(l3,plain,
less(v400,v800),
inference(instantiation,[status(thm)],[50]) ).
fof(less_implies_leq,plain,
! [X,Y] :
( less(X,Y)
=> leq(X,Y) ),
file('Axioms/MGT002+0.ax',less_implies_leq) ).
cnf(7,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[less_implies_leq]) ).
cnf(l2,plain,
( ~ less(v400,sK5)
| leq(v400,sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(55,plain,
~ leq(v400,sK5),
inference(cnf,[status(esa)],[odrl311_negated]) ).
cnf(l7,plain,
~ leq(v400,sK5),
inference(instantiation,[status(thm)],[55]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT076+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
% 0.09/0.35 % Computer : n003.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 14:13:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % launching worker at depth: 1
% 0.09/0.35 % launching worker at depth: 5
% 0.09/0.35 % launching worker at depth: 3
% 0.09/0.35 % launching worker at depth: 4
% 0.09/0.35 % launching worker at depth: 6
% 0.09/0.35 % launching worker at depth: 2
% 0.09/0.35 % launching worker at depth: 7
% 0.09/0.35 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------