%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:19:29 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,lemma,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,conjecture,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f234,plain,
! [A,B] :
( subset(A,union(B))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f235,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f351,plain,
? [A,B] :
( ~ subset(A,union(B))
& in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f352,plain,
( ~ subset(sK21_skl,union(sK22_skl))
& in(sK21_skl,sK22_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(A,sK21_skl),skolemize(B,sK22_skl)],[f351]) ).
fof(f353,plain,
in(sK21_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f354,plain,
~ subset(sK21_skl,union(sK22_skl)),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f396,plain,
subset(sK21_skl,union(sK22_skl)),
inference(resolution,[status(thm)],[f235,f353]) ).
fof(f397,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f396,f354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:54:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % 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: 0.062721 seconds
% 0.12/0.42 % CPU time: 0.164765 seconds
% 0.12/0.42 % Total memory used: 106.771 MB
% 0.12/0.42 % Net memory used: 106.656 MB
%------------------------------------------------------------------------------