%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:28:19 PM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
s_contains(s_g019,s_g013),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
s_contains(s_g013,s_MX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f601,axiom,
! [X,Y,Z] :
( ( s_contains(Y,Z)
& s_contains(X,Y) )
=> s_contains(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f604,conjecture,
s_contains(s_g019,s_MX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f605,negated_conjecture,
~ s_contains(s_g019,s_MX),
inference(negated_conjecture,[status(cth)],[f604]) ).
fof(f624,plain,
s_contains(s_g019,s_g013),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f680,plain,
s_contains(s_g013,s_MX),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f1206,plain,
! [X,Y,Z] :
( s_contains(X,Z)
| ~ s_contains(Y,Z)
| ~ s_contains(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f601]) ).
fof(f1207,plain,
! [X,Z] :
( s_contains(X,Z)
| ! [Y] :
( ~ s_contains(Y,Z)
| ~ s_contains(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1206]) ).
fof(f1208,plain,
! [X0,X1,X2] :
( s_contains(X0,X2)
| ~ s_contains(X1,X2)
| ~ s_contains(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1207]) ).
fof(f1213,plain,
~ s_contains(s_g019,s_MX),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f1214,plain,
! [X0] :
( ~ s_contains(X0,s_MX)
| ~ s_contains(s_g019,X0) ),
inference(resolution,[status(thm)],[f1208,f1213]) ).
fof(f1215,plain,
~ s_contains(s_g019,s_g013),
inference(resolution,[status(thm)],[f1214,f680]) ).
fof(f1217,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1215,f624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 01:29:45 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56 % Elapsed time: 0.081817 seconds
% 0.19/0.56 % CPU time: 0.116073 seconds
% 0.19/0.56 % Total memory used: 7.034 MB
% 0.19/0.56 % Net memory used: 7.034 MB
%------------------------------------------------------------------------------