%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT078+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 : n014.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 0.22s 0.53s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 36 ( 14 ~; 8 |; 12 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 20 ( 1 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl341,plain,
~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& leq(v1200,X)
& in_lopen(Y,v0,v800)
& leq(v200,Y)
& in_lopen(Z,v0,v32)
& leq(v8,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl341) ).
fof(odrl341_negated,plain,
~ ~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& leq(v1200,X)
& in_lopen(Y,v0,v800)
& leq(v200,Y)
& in_lopen(Z,v0,v32)
& leq(v8,Z) ),
inference(negate_conjecture,[status(cth)],[odrl341]) ).
cnf(94,plain,
in_lopen(sK5,v0,v600),
inference(cnf,[status(esa)],[odrl341_negated]) ).
cnf(l0,plain,
in_lopen(sK5,v0,v600),
inference(instantiation,[status(thm)],[94]) ).
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(sK5,v0,v600)
| leq(sK5,v600) ),
inference(instantiation,[status(thm)],[15]) ).
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(l2,plain,
( ~ leq(sK5,v600)
| ~ less(v600,sK5)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[9]) ).
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(l3,plain,
( ~ leq(v1200,sK5)
| ~ less(v600,v1200)
| less(v600,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
fof(ord_v600_v1200,plain,
less(v600,v1200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v1200) ).
cnf(71,plain,
less(v600,v1200),
inference(cnf,[status(esa)],[ord_v600_v1200]) ).
cnf(l9,plain,
less(v600,v1200),
inference(instantiation,[status(thm)],[71]) ).
cnf(95,plain,
leq(v1200,sK5),
inference(cnf,[status(esa)],[odrl341_negated]) ).
cnf(l5,plain,
leq(v1200,sK5),
inference(instantiation,[status(thm)],[95]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l9,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 7 14:13:41 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % launching worker at depth: 1
% 0.18/0.45 % launching worker at depth: 7
% 0.18/0.45 % launching worker at depth: 2
% 0.18/0.45 % launching worker at depth: 4
% 0.18/0.45 % launching worker at depth: 5
% 0.18/0.45 % launching worker at depth: 6
% 0.18/0.45 % launching worker at depth: 3
% 0.18/0.45 % launching worker at depth: 8
% 0.18/0.46 % launching worker at depth: 9
% 0.18/0.47 % launching worker at depth: 10
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------