%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET073+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:11:26 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET073+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:50:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f16,axiom,(
% 0.09/0.39 (! [X] : ~ member(X,null_class) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f44,conjecture,(
% 0.09/0.39 (! [X,Y] :( member(X,universal_class)=> unordered_pair(X,Y) != null_class ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f45,negated_conjecture,(
% 0.09/0.39 ~((! [X,Y] :( member(X,universal_class)=> unordered_pair(X,Y) != null_class ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.09/0.39 fof(f59,plain,(
% 0.09/0.39 ![U,X,Y]: ((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&(member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 (![U,X,Y]: (~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))&(![U,X,Y]: (member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f59])).
% 0.09/0.39 fof(f63,plain,(
% 0.09/0.39 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 ![X0]: (~member(X0,null_class))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f191,plain,(
% 0.09/0.39 (?[X,Y]: (member(X,universal_class)&unordered_pair(X,Y)=null_class))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/0.39 fof(f192,plain,(
% 0.09/0.39 ?[X]: (member(X,universal_class)&(?[Y]: unordered_pair(X,Y)=null_class))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f191])).
% 0.09/0.39 fof(f193,plain,(
% 0.09/0.39 (member(sK7_skl,universal_class)&unordered_pair(sK7_skl,sK8_skl)=null_class)),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f192])).
% 0.09/0.39 fof(f194,plain,(
% 0.09/0.39 member(sK7_skl,universal_class)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.39 fof(f195,plain,(
% 0.09/0.39 unordered_pair(sK7_skl,sK8_skl)=null_class),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.39 fof(f198,plain,(
% 0.09/0.39 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.09/0.39 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.09/0.39 fof(f206,plain,(
% 0.09/0.39 member(sK7_skl,null_class)|~member(sK7_skl,universal_class)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f195,f198])).
% 0.09/0.39 fof(f208,definition,(
% 0.09/0.39 sQ0_spl <=> (member(sK7_skl,null_class))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f209,plain,(
% 0.09/0.39 member(sK7_skl,null_class)|~sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f208])).
% 0.09/0.39 fof(f211,definition,(
% 0.09/0.39 sQ1_spl <=> (member(sK7_skl,universal_class))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f213,plain,(
% 0.09/0.39 ~member(sK7_skl,universal_class)|sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f211])).
% 0.09/0.39 fof(f214,plain,(
% 0.09/0.39 sQ0_spl|~sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f206,f208,f211])).
% 0.09/0.39 fof(f215,plain,(
% 0.09/0.39 $false|~sQ0_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f209,f96])).
% 0.09/0.39 fof(f216,plain,(
% 0.09/0.39 ~sQ0_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f215])).
% 0.09/0.39 fof(f217,plain,(
% 0.09/0.39 $false|sQ1_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f213,f194])).
% 0.09/0.39 fof(f218,plain,(
% 0.09/0.39 sQ1_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f217])).
% 0.09/0.39 fof(f219,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(sat_refutation,[status(thm)],[f214,f216,f218])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.047623 seconds
% 0.09/0.41 % CPU time: 0.125671 seconds
% 0.09/0.41 % Total memory used: 71.910 MB
% 0.09/0.41 % Net memory used: 71.843 MB
%------------------------------------------------------------------------------