%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET095+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 : n026.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 02:11:31 PM UTC 2026
% Result : Theorem 0.21s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET095+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.64 % Computer : n026.cluster.edu
% 0.17/0.64 % Model : x86_64 x86_64
% 0.17/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.64 % Memory : 8046.5625MB
% 0.17/0.64 % OS : Linux 6.8.0-71-generic
% 0.17/0.64 % CPULimit : 300
% 0.17/0.64 % WCLimit : 300
% 0.17/0.64 % DateTime : Mon Sep 21 04:55:08 UTC 2026
% 0.17/0.65 % CPUTime :
% 0.21/0.67 % Drodi V4.1.1
% 0.21/0.69 % Refutation found
% 0.21/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.69 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.69 fof(f1,axiom,(
% 0.21/0.69 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.69 fof(f3,axiom,(
% 0.21/0.69 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.69 fof(f4,axiom,(
% 0.21/0.69 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.69 fof(f6,axiom,(
% 0.21/0.69 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.69 fof(f44,conjecture,(
% 0.21/0.69 (! [X,Y] :( member(X,Y)=> subclass(singleton(X),Y) ) )),
% 0.21/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.69 fof(f45,negated_conjecture,(
% 0.21/0.69 ~((! [X,Y] :( member(X,Y)=> subclass(singleton(X),Y) ) ))),
% 0.21/0.69 inference(negated_conjecture,[status(cth)],[f44])).
% 0.21/0.69 fof(f46,plain,(
% 0.21/0.69 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.21/0.69 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.21/0.69 fof(f47,plain,(
% 0.21/0.69 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.21/0.69 inference(NNF_transformation,[status(thm)],[f46])).
% 0.21/0.69 fof(f48,plain,(
% 0.21/0.69 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.21/0.69 inference(miniscoping,[status(thm)],[f47])).
% 0.21/0.69 fof(f49,plain,(
% 0.21/0.69 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(member(sK0_skl(Y,X),X)&~member(sK0_skl(Y,X),Y))))),
% 0.21/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.21/0.69 fof(f50,plain,(
% 0.21/0.69 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f49])).
% 0.21/0.69 fof(f51,plain,(
% 0.21/0.69 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f49])).
% 0.21/0.69 fof(f52,plain,(
% 0.21/0.69 ![X0,X1]: (subclass(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f49])).
% 0.21/0.69 fof(f54,plain,(
% 0.21/0.69 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.21/0.69 inference(NNF_transformation,[status(thm)],[f3])).
% 0.21/0.69 fof(f55,plain,(
% 0.21/0.69 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.21/0.69 inference(miniscoping,[status(thm)],[f54])).
% 0.21/0.69 fof(f56,plain,(
% 0.21/0.69 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f55])).
% 0.21/0.69 fof(f59,plain,(
% 0.21/0.69 ![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))))),
% 0.21/0.69 inference(NNF_transformation,[status(thm)],[f4])).
% 0.21/0.69 fof(f60,plain,(
% 0.21/0.69 (![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))))),
% 0.21/0.69 inference(miniscoping,[status(thm)],[f59])).
% 0.21/0.69 fof(f62,plain,(
% 0.21/0.69 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f60])).
% 0.21/0.69 fof(f66,plain,(
% 0.21/0.69 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/0.69 fof(f191,plain,(
% 0.21/0.69 (?[X,Y]: (member(X,Y)&~subclass(singleton(X),Y)))),
% 0.21/0.69 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.21/0.69 fof(f192,plain,(
% 0.21/0.69 (member(sK7_skl,sK8_skl)&~subclass(singleton(sK7_skl),sK8_skl))),
% 0.21/0.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.21/0.69 fof(f193,plain,(
% 0.21/0.69 member(sK7_skl,sK8_skl)),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f192])).
% 0.21/0.69 fof(f194,plain,(
% 0.21/0.69 ~subclass(singleton(sK7_skl),sK8_skl)),
% 0.21/0.69 inference(cnf_transformation,[status(thm)],[f192])).
% 0.21/0.69 fof(f195,plain,(
% 0.21/0.69 ![X0]: (subclass(X0,X0))),
% 0.21/0.69 inference(destructive_equality_resolution,[status(thm)],[f56])).
% 0.21/0.69 fof(f226,plain,(
% 0.21/0.69 ![X0,X1,X2,X3]: (X0=X1|X0=X2|~subclass(X3,unordered_pair(X1,X2))|~member(X0,X3))),
% 0.21/0.70 inference(resolution,[status(thm)],[f62,f50])).
% 0.21/0.70 fof(f243,plain,(
% 0.21/0.70 ![X0,X1,X2]: (X0=X1|X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.21/0.70 inference(paramodulation,[status(thm)],[f66,f226])).
% 0.21/0.70 fof(f244,plain,(
% 0.21/0.70 ![X0,X1,X2]: (X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 0.21/0.70 inference(duplicate_literals_removal,[status(thm)],[f243])).
% 0.21/0.70 fof(f246,plain,(
% 0.21/0.70 ![X0,X1]: (X0=X1|~member(X0,singleton(X1)))),
% 0.21/0.70 inference(resolution,[status(thm)],[f244,f195])).
% 0.21/0.70 fof(f248,plain,(
% 0.21/0.70 ![X0,X1]: (sK0_skl(X0,singleton(X1))=X1|subclass(singleton(X1),X0))),
% 0.21/0.70 inference(resolution,[status(thm)],[f246,f51])).
% 0.21/0.70 fof(f250,plain,(
% 0.21/0.70 sK0_skl(sK8_skl,singleton(sK7_skl))=sK7_skl),
% 0.21/0.70 inference(resolution,[status(thm)],[f248,f194])).
% 0.21/0.70 fof(f257,plain,(
% 0.21/0.70 subclass(singleton(sK7_skl),sK8_skl)|~member(sK7_skl,sK8_skl)),
% 0.21/0.70 inference(paramodulation,[status(thm)],[f250,f52])).
% 0.21/0.70 fof(f259,definition,(
% 0.21/0.70 sQ2_spl <=> (subclass(singleton(sK7_skl),sK8_skl))),
% 0.21/0.70 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.21/0.70 fof(f260,plain,(
% 0.21/0.70 subclass(singleton(sK7_skl),sK8_skl)|~sQ2_spl),
% 0.21/0.70 inference(component_clause,[status(thm)],[f259])).
% 0.21/0.70 fof(f266,definition,(
% 0.21/0.70 sQ4_spl <=> (member(sK7_skl,sK8_skl))),
% 0.21/0.70 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.21/0.70 fof(f268,plain,(
% 0.21/0.70 ~member(sK7_skl,sK8_skl)|sQ4_spl),
% 0.21/0.70 inference(component_clause,[status(thm)],[f266])).
% 0.21/0.70 fof(f269,plain,(
% 0.21/0.70 sQ2_spl|~sQ4_spl),
% 0.21/0.70 inference(split_clause,[status(thm)],[f257,f259,f266])).
% 0.21/0.70 fof(f274,plain,(
% 0.21/0.70 $false|~sQ2_spl),
% 0.21/0.70 inference(forward_subsumption_resolution,[status(thm)],[f260,f194])).
% 0.21/0.70 fof(f275,plain,(
% 0.21/0.70 ~sQ2_spl),
% 0.21/0.70 inference(contradiction_clause,[status(thm)],[f274])).
% 0.21/0.70 fof(f276,plain,(
% 0.21/0.70 $false|sQ4_spl),
% 0.21/0.70 inference(forward_subsumption_resolution,[status(thm)],[f268,f193])).
% 0.21/0.70 fof(f277,plain,(
% 0.21/0.70 sQ4_spl),
% 0.21/0.70 inference(contradiction_clause,[status(thm)],[f276])).
% 0.21/0.70 fof(f278,plain,(
% 0.21/0.70 $false),
% 0.21/0.70 inference(sat_refutation,[status(thm)],[f269,f275,f277])).
% 0.21/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.75 % Elapsed time: 0.100266 seconds
% 0.21/0.75 % CPU time: 0.247767 seconds
% 0.21/0.75 % Total memory used: 37.371 MB
% 0.21/0.75 % Net memory used: 37.181 MB
%------------------------------------------------------------------------------