%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT085+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 : n006.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 31.17s 4.30s
% Output : CNFRefutation 31.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 30 ~; 30 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 32 ( 1 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl445,plain,
~ ? [X,Y,Z] :
( ( in_lopen(X,v0,v200)
| in_lopen(Y,v0,v100)
| in_lopen(Z,v0,v50) )
& leq(v400,X)
& leq(v200,Y)
& leq(v100,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl445) ).
fof(odrl445_negated,plain,
~ ~ ? [X,Y,Z] :
( ( in_lopen(X,v0,v200)
| in_lopen(Y,v0,v100)
| in_lopen(Z,v0,v50) )
& leq(v400,X)
& leq(v200,Y)
& leq(v100,Z) ),
inference(negate_conjecture,[status(cth)],[odrl445]) ).
cnf(70,plain,
( in_lopen(sK7,v0,v50)
| in_lopen(sK5,v0,v200)
| in_lopen(sK6,v0,v100) ),
inference(cnf,[status(esa)],[odrl445_negated]) ).
cnf(l0,plain,
( in_lopen(sK7,v0,v50)
| in_lopen(sK5,v0,v200)
| in_lopen(sK6,v0,v100) ),
inference(instantiation,[status(thm)],[70]) ).
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,v200)
| leq(sK5,v200) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l2,plain,
( ~ in_lopen(sK7,v0,v50)
| leq(sK7,v50) ),
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(l18,plain,
( ~ leq(sK7,v50)
| ~ less(v50,sK7)
| less(v50,v50) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l3,plain,
( ~ in_lopen(sK6,v0,v100)
| leq(sK6,v100) ),
inference(instantiation,[status(thm)],[15]) ).
fof(leq_trans,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('Axioms/MGT002+0.ax',leq_trans) ).
cnf(10,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[leq_trans]) ).
cnf(l39,plain,
( ~ leq(v200,sK6)
| ~ leq(sK6,v100)
| leq(v200,v100) ),
inference(instantiation,[status(thm)],[10]) ).
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(l102,plain,
( ~ leq(v200,v100)
| ~ less(v100,v200)
| less(v200,v200) ),
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(l42,plain,
~ less(v50,v50),
inference(instantiation,[status(thm)],[0]) ).
fof(ord_v100_v200,plain,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v200) ).
cnf(57,plain,
less(v100,v200),
inference(cnf,[status(esa)],[ord_v100_v200]) ).
cnf(l103,plain,
less(v100,v200),
inference(instantiation,[status(thm)],[57]) ).
cnf(l107,plain,
~ less(v200,v200),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ leq(v400,sK5)
| ~ leq(sK5,v200)
| leq(v400,v200) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(72,plain,
leq(v200,sK6),
inference(cnf,[status(esa)],[odrl445_negated]) ).
cnf(l115,plain,
leq(v200,sK6),
inference(instantiation,[status(thm)],[72]) ).
cnf(71,plain,
leq(v400,sK5),
inference(cnf,[status(esa)],[odrl445_negated]) ).
cnf(l209,plain,
leq(v400,sK5),
inference(instantiation,[status(thm)],[71]) ).
cnf(l66,plain,
( ~ leq(v400,v200)
| ~ less(v200,v400)
| less(v400,v400) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l149,plain,
~ less(v400,v400),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
( ~ leq(v100,sK7)
| ~ less(v50,v100)
| less(v50,sK7) ),
inference(instantiation,[status(thm)],[9]) ).
fof(ord_v200_v400,plain,
less(v200,v400),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).
cnf(59,plain,
less(v200,v400),
inference(cnf,[status(esa)],[ord_v200_v400]) ).
cnf(l111,plain,
less(v200,v400),
inference(instantiation,[status(thm)],[59]) ).
cnf(73,plain,
leq(v100,sK7),
inference(cnf,[status(esa)],[odrl445_negated]) ).
cnf(l57,plain,
leq(v100,sK7),
inference(instantiation,[status(thm)],[73]) ).
fof(ord_v50_v100,plain,
less(v50,v100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v50_v100) ).
cnf(54,plain,
less(v50,v100),
inference(cnf,[status(esa)],[ord_v50_v100]) ).
cnf(l36,plain,
less(v50,v100),
inference(instantiation,[status(thm)],[54]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l3,l39,l102,l42,l103,l107,l4,l115,l209,l66,l149,l25,l111,l57,l36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT085+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
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 14:19:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.38 % launching worker at depth: 10
% 2.34/0.67 % launching worker at depth: 11
% 31.17/4.30 % SZS status Theorem for theBenchmark
% 31.17/4.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------