%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT083+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 : 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 : Thu Sep 24 01:25:34 PM UTC 2026
% Result : Theorem 0.08s 15.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 14 |; 9 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( less(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,A,B] :
( in_open(X,A,B)
<=> ( less(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
~ ? [X] :
( less(v600,X)
& in_open(X,v0,v600) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ~ ? [X] :
( less(v600,X)
& in_open(X,v0,v600) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0] : ~ less(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ less(Y,Z)
| ~ less(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
! [X,Z] :
( less(X,Z)
| ! [Y] :
( ~ less(Y,Z)
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f72,plain,
! [X,A,B] :
( ( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f73,plain,
( ! [X,A,B] :
( ~ less(X,B)
| ~ less(A,X)
| in_open(X,A,B) )
& ! [X,A,B] :
( ( less(X,B)
& less(A,X) )
| ~ in_open(X,A,B) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f75,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ in_open(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f119,plain,
( less(v600,sK3_skl)
& in_open(sK3_skl,v0,v600) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X,sK3_skl)],[f33]) ).
fof(f120,plain,
in_open(sK3_skl,v0,v600),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
less(v600,sK3_skl),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f132,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(resolution,[status(thm)],[f37,f34]) ).
fof(f135,plain,
~ less(sK3_skl,v600),
inference(resolution,[status(thm)],[f132,f121]) ).
fof(f143,plain,
less(sK3_skl,v600),
inference(resolution,[status(thm)],[f75,f120]) ).
fof(f144,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f143,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/15.36 % Computer : n006.cluster.edu
% 0.08/15.36 % Model : x86_64 x86_64
% 0.08/15.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/15.36 % Memory : 8046.5625MB
% 0.08/15.36 % OS : Linux 6.8.0-71-generic
% 0.08/15.36 % CPULimit : 300
% 0.08/15.36 % WCLimit : 300
% 0.08/15.36 % DateTime : Mon Sep 21 01:25:14 UTC 2026
% 0.08/15.36 % CPUTime :
% 0.08/15.37 % Drodi V4.1.1
% 0.08/15.40 % Refutation found
% 0.08/15.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/15.43 % Elapsed time: 0.064965 seconds
% 0.11/15.43 % CPU time: 0.150771 seconds
% 0.11/15.43 % Total memory used: 81.202 MB
% 0.11/15.43 % Net memory used: 81.115 MB
%------------------------------------------------------------------------------