%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU123+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:21:43 PM UTC 2026
% Result : Theorem 0.02s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU123+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.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 05:52:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.36 % Drodi V4.1.1
% 0.02/0.38 % Refutation found
% 0.02/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.38 fof(f3,axiom,(
% 0.02/0.38 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.02/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.38 fof(f17,lemma,(
% 0.02/0.38 (! [A] : subset(empty_set,A) )),
% 0.02/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.38 fof(f19,conjecture,(
% 0.02/0.38 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.02/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.38 fof(f20,negated_conjecture,(
% 0.02/0.38 ~((! [A] :( subset(A,empty_set)=> A = empty_set ) ))),
% 0.02/0.38 inference(negated_conjecture,[status(cth)],[f19])).
% 0.02/0.38 fof(f28,plain,(
% 0.02/0.38 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.02/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.02/0.38 fof(f29,plain,(
% 0.02/0.38 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.02/0.38 inference(miniscoping,[status(thm)],[f28])).
% 0.02/0.38 fof(f32,plain,(
% 0.02/0.38 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.02/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.02/0.38 fof(f72,plain,(
% 0.02/0.38 ![X0]: (subset(empty_set,X0))),
% 0.02/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.02/0.38 fof(f79,plain,(
% 0.02/0.38 (?[A]: (subset(A,empty_set)&~A=empty_set))),
% 0.02/0.38 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.02/0.38 fof(f80,plain,(
% 0.02/0.38 (subset(sK6_skl,empty_set)&~sK6_skl=empty_set)),
% 0.02/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(A,sK6_skl)],[f79])).
% 0.02/0.38 fof(f81,plain,(
% 0.02/0.38 subset(sK6_skl,empty_set)),
% 0.02/0.38 inference(cnf_transformation,[status(thm)],[f80])).
% 0.02/0.38 fof(f82,plain,(
% 0.02/0.38 ~sK6_skl=empty_set),
% 0.02/0.38 inference(cnf_transformation,[status(thm)],[f80])).
% 0.02/0.38 fof(f102,plain,(
% 0.02/0.38 empty_set=sK6_skl|~subset(empty_set,sK6_skl)),
% 0.02/0.38 inference(resolution,[status(thm)],[f32,f81])).
% 0.02/0.38 fof(f104,definition,(
% 0.02/0.38 sQ0_spl <=> (empty_set=sK6_skl)),
% 0.02/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.38 fof(f105,plain,(
% 0.02/0.38 empty_set=sK6_skl|~sQ0_spl),
% 0.02/0.38 inference(component_clause,[status(thm)],[f104])).
% 0.02/0.38 fof(f107,definition,(
% 0.02/0.38 sQ1_spl <=> (subset(empty_set,sK6_skl))),
% 0.02/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.38 fof(f109,plain,(
% 0.02/0.38 ~subset(empty_set,sK6_skl)|sQ1_spl),
% 0.02/0.38 inference(component_clause,[status(thm)],[f107])).
% 0.02/0.38 fof(f110,plain,(
% 0.02/0.38 sQ0_spl|~sQ1_spl),
% 0.02/0.38 inference(split_clause,[status(thm)],[f102,f104,f107])).
% 0.02/0.38 fof(f111,plain,(
% 0.02/0.38 $false|~sQ0_spl),
% 0.02/0.38 inference(forward_subsumption_resolution,[status(thm)],[f105,f82])).
% 0.02/0.38 fof(f112,plain,(
% 0.02/0.38 ~sQ0_spl),
% 0.02/0.38 inference(contradiction_clause,[status(thm)],[f111])).
% 0.02/0.38 fof(f114,plain,(
% 0.02/0.38 $false|sQ1_spl),
% 0.02/0.38 inference(forward_subsumption_resolution,[status(thm)],[f109,f72])).
% 0.02/0.38 fof(f115,plain,(
% 0.02/0.38 sQ1_spl),
% 0.02/0.38 inference(contradiction_clause,[status(thm)],[f114])).
% 0.02/0.38 fof(f116,plain,(
% 0.02/0.38 $false),
% 0.02/0.38 inference(sat_refutation,[status(thm)],[f110,f112,f115])).
% 0.02/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.41 % Elapsed time: 0.048022 seconds
% 0.02/0.41 % CPU time: 0.142301 seconds
% 0.02/0.41 % Total memory used: 101.995 MB
% 0.02/0.41 % Net memory used: 101.837 MB
%------------------------------------------------------------------------------