%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT086+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 : n028.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 2.06s 0.62s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 72 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 26 |; 10 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 1 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl462,plain,
? [X,Y] :
( leq(v800,X)
& in_lopen(Y,v0,v200)
& ( ( in_lopen(X,v0,v600)
& ~ in_lopen(Y,v0,v400) )
| ( ~ in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl462) ).
fof(odrl462_negated,plain,
~ ? [X,Y] :
( leq(v800,X)
& in_lopen(Y,v0,v200)
& ( ( in_lopen(X,v0,v600)
& ~ in_lopen(Y,v0,v400) )
| ( ~ in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400) ) ) ),
inference(negate_conjecture,[status(cth)],[odrl462]) ).
cnf(71,plain,
( ~ in_lopen(X0,v0,v400)
| ~ in_lopen(X0,v0,v200)
| ~ leq(v800,X1)
| in_lopen(X1,v0,v600) ),
inference(cnf,[status(esa)],[odrl462_negated]) ).
cnf(l0,plain,
( ~ in_lopen(v200,v0,v400)
| ~ in_lopen(v200,v0,v200)
| ~ leq(v800,v800)
| in_lopen(v800,v0,v600) ),
inference(instantiation,[status(thm)],[71]) ).
fof(leq_def,plain,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('Axioms/MGT002+0.ax',leq_def) ).
cnf(5,plain,
( X0 != X1
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l3,plain,
( v800 != v800
| leq(v800,v800) ),
inference(instantiation,[status(thm)],[5]) ).
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(16,plain,
( ~ leq(X0,X1)
| ~ less(X2,X0)
| in_lopen(X0,X2,X1) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l1,plain,
( ~ leq(v200,v200)
| ~ less(v0,v200)
| in_lopen(v200,v0,v200) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l6,plain,
( ~ in_lopen(v800,v0,v600)
| leq(v800,v600) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l7,plain,
( v200 != v200
| leq(v200,v200) ),
inference(instantiation,[status(thm)],[5]) ).
fof(ord_v0_v200,plain,
less(v0,v200),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v200) ).
cnf(50,plain,
less(v0,v200),
inference(cnf,[status(esa)],[ord_v0_v200]) ).
cnf(l20,plain,
less(v0,v200),
inference(instantiation,[status(thm)],[50]) ).
cnf(l2,plain,
( ~ leq(v200,v400)
| ~ less(v0,v200)
| in_lopen(v200,v0,v400) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(4,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l21,plain,
( ~ less(v200,v400)
| leq(v200,v400) ),
inference(instantiation,[status(thm)],[4]) ).
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(l37,plain,
( ~ leq(v800,v600)
| ~ less(v600,v800)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[9]) ).
fof(ord_v200_v400,plain,
less(v200,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v200_v400) ).
cnf(54,plain,
less(v200,v400),
inference(cnf,[status(esa)],[ord_v200_v400]) ).
cnf(l45,plain,
less(v200,v400),
inference(instantiation,[status(thm)],[54]) ).
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(l71,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
fof(ord_v600_v800,plain,
less(v600,v800),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v800) ).
cnf(59,plain,
less(v600,v800),
inference(cnf,[status(esa)],[ord_v600_v800]) ).
cnf(l42,plain,
less(v600,v800),
inference(instantiation,[status(thm)],[59]) ).
cnf(l31,plain,
less(v0,v200),
inference(instantiation,[status(thm)],[50]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l6,l7,l20,l2,l21,l37,l45,l71,l42,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT086+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
% 0.07/0.33 % Computer : n028.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 14:22:32 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.34 % launching worker at depth: 1
% 0.07/0.34 % launching worker at depth: 4
% 0.07/0.34 % launching worker at depth: 2
% 0.07/0.34 % launching worker at depth: 3
% 0.07/0.34 % launching worker at depth: 5
% 0.07/0.34 % launching worker at depth: 6
% 0.07/0.34 % launching worker at depth: 7
% 0.07/0.34 % launching worker at depth: 8
% 0.07/0.34 % launching worker at depth: 9
% 0.07/0.34 % launching worker at depth: 10
% 2.06/0.62 % SZS status Theorem for theBenchmark
% 2.06/0.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------