%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU161+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:19:28 PM UTC 2026
% Result : Theorem 0.11s 0.60s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,lemma,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,conjecture,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f210,plain,
! [A,B] :
( set_union2(singleton(A),B) = B
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f211,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f310,plain,
? [A,B] :
( set_union2(singleton(A),B) != B
& in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f77]) ).
fof(f311,plain,
( set_union2(singleton(sK20_skl),sK21_skl) != sK21_skl
& in(sK20_skl,sK21_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl)],[f310]) ).
fof(f312,plain,
in(sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
set_union2(singleton(sK20_skl),sK21_skl) != sK21_skl,
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f478,plain,
~ in(sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f211,f313]) ).
fof(f483,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f478,f312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU161+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.56 % Computer : n011.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Mon Sep 21 05:53:55 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.58 % Drodi V4.1.1
% 0.11/0.60 % Refutation found
% 0.11/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.64 % Elapsed time: 0.058893 seconds
% 0.14/0.64 % CPU time: 0.161135 seconds
% 0.14/0.64 % Total memory used: 106.806 MB
% 0.14/0.64 % Net memory used: 106.696 MB
%------------------------------------------------------------------------------