%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 01:25:34 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 17 |; 9 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
less(v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
? [X] : in_lopen(X,v0,v600),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ? [X] : in_lopen(X,v0,v600),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f42,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( ! [X,Y] :
( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ! [X,Y] :
( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( X0 != X1
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f65,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( ! [X,A,B] :
( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ! [X,A,B] :
( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ leq(X0,X2)
| ~ less(X1,X0)
| in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f122,plain,
less(v0,v600),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f127,plain,
! [X] : ~ in_lopen(X,v0,v600),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f128,plain,
! [X0] : ~ in_lopen(X0,v0,v600),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0] : leq(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f46]) ).
fof(f138,plain,
! [X0,X1] :
( ~ less(X1,X0)
| in_lopen(X0,X1,X0) ),
inference(resolution,[status(thm)],[f129,f69]) ).
fof(f139,plain,
in_lopen(v600,v0,v600),
inference(resolution,[status(thm)],[f138,f122]) ).
fof(f141,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f139,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT087+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.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 21 01:28:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.062277 seconds
% 0.12/0.42 % CPU time: 0.150678 seconds
% 0.12/0.42 % Total memory used: 81.249 MB
% 0.12/0.42 % Net memory used: 81.168 MB
%------------------------------------------------------------------------------