%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT079+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 : n020.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 2.25s 0.69s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 18 unt; 0 def)
% Number of atoms : 88 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 35 ~; 30 |; 13 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 38 ( 3 sgn 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl350,plain,
? [X,Y,Z] :
( in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400)
& in_lopen(Z,v0,v32)
& ~ ( in_lopen(X,v0,v1200)
& in_lopen(Y,v0,v800)
& in_lopen(Z,v0,v16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl350) ).
fof(odrl350_negated,plain,
~ ? [X,Y,Z] :
( in_lopen(X,v0,v600)
& in_lopen(Y,v0,v400)
& in_lopen(Z,v0,v32)
& ~ ( in_lopen(X,v0,v1200)
& in_lopen(Y,v0,v800)
& in_lopen(Z,v0,v16) ) ),
inference(negate_conjecture,[status(cth)],[odrl350]) ).
cnf(96,plain,
( ~ in_lopen(X0,v0,v600)
| ~ in_lopen(X1,v0,v400)
| ~ in_lopen(X2,v0,v32)
| in_lopen(X2,v0,v16) ),
inference(cnf,[status(esa)],[odrl350_negated]) ).
cnf(l0,plain,
( ~ in_lopen(v600,v0,v600)
| ~ in_lopen(v16,v0,v400)
| ~ in_lopen(v32,v0,v32)
| in_lopen(v32,v0,v16) ),
inference(instantiation,[status(thm)],[96]) ).
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(v16,v400)
| ~ less(v0,v16)
| in_lopen(v16,v0,v400) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2,plain,
( ~ leq(v600,v600)
| ~ less(v0,v600)
| in_lopen(v600,v0,v600) ),
inference(instantiation,[status(thm)],[16]) ).
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(l12,plain,
( v600 != v600
| leq(v600,v600) ),
inference(instantiation,[status(thm)],[5]) ).
fof(ord_v0_v16,plain,
less(v0,v16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v16) ).
cnf(52,plain,
less(v0,v16),
inference(cnf,[status(esa)],[ord_v0_v16]) ).
cnf(l11,plain,
less(v0,v16),
inference(instantiation,[status(thm)],[52]) ).
fof(ord_v0_v600,plain,
less(v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v0_v600) ).
cnf(55,plain,
less(v0,v600),
inference(cnf,[status(esa)],[ord_v0_v600]) ).
cnf(l26,plain,
less(v0,v600),
inference(instantiation,[status(thm)],[55]) ).
cnf(l3,plain,
( ~ leq(v32,v32)
| ~ less(v0,v32)
| in_lopen(v32,v0,v32) ),
inference(instantiation,[status(thm)],[16]) ).
fof(transitive,plain,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',transitive) ).
cnf(1,plain,
( ~ less(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[transitive]) ).
cnf(l16,plain,
( ~ less(v0,v16)
| ~ less(v16,v32)
| less(v0,v32) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( v32 != v32
| leq(v32,v32) ),
inference(instantiation,[status(thm)],[5]) ).
fof(ord_v16_v32,plain,
less(v16,v32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v32) ).
cnf(58,plain,
less(v16,v32),
inference(cnf,[status(esa)],[ord_v16_v32]) ).
cnf(l21,plain,
less(v16,v32),
inference(instantiation,[status(thm)],[58]) ).
cnf(l50,plain,
less(v0,v16),
inference(instantiation,[status(thm)],[52]) ).
cnf(15,plain,
( ~ in_lopen(X0,X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[in_lopen]) ).
cnf(l15,plain,
( ~ in_lopen(v32,v0,v16)
| leq(v32,v16) ),
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(l51,plain,
( ~ leq(v32,v16)
| ~ less(v16,v32)
| less(v32,v32) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l76,plain,
less(v16,v32),
inference(instantiation,[status(thm)],[58]) ).
cnf(4,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l29,plain,
( ~ less(v16,v400)
| leq(v16,v400) ),
inference(instantiation,[status(thm)],[4]) ).
fof(ord_v16_v400,plain,
less(v16,v400),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v16_v400) ).
cnf(59,plain,
less(v16,v400),
inference(cnf,[status(esa)],[ord_v16_v400]) ).
cnf(l44,plain,
less(v16,v400),
inference(instantiation,[status(thm)],[59]) ).
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(l53,plain,
~ less(v32,v32),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l12,l11,l26,l3,l16,l20,l21,l50,l15,l51,l76,l29,l44,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 14:15:43 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % launching worker at depth: 2
% 0.15/0.38 % launching worker at depth: 7
% 0.15/0.38 % launching worker at depth: 3
% 0.15/0.38 % launching worker at depth: 5
% 0.15/0.38 % launching worker at depth: 4
% 0.15/0.38 % launching worker at depth: 6
% 0.15/0.38 % launching worker at depth: 1
% 0.15/0.38 % launching worker at depth: 8
% 0.15/0.38 % launching worker at depth: 9
% 0.15/0.38 % launching worker at depth: 10
% 2.25/0.69 % SZS status Theorem for theBenchmark
% 2.25/0.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------