%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET056+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 : 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 02:11:21 PM UTC 2026
% Result : Theorem 0.11s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET056+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
% 0.11/0.57 % Computer : n008.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 04:49:10 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.11/0.61 % Refutation found
% 0.11/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.61 fof(f1,axiom,(
% 0.11/0.61 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.11/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f3,axiom,(
% 0.11/0.61 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.11/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f44,conjecture,(
% 0.11/0.61 (! [X,Y] :( X = Y| (? [U] :( member(U,X)& ~ member(U,Y) ))| (? [W] :( member(W,Y)& ~ member(W,X) ) )) )),
% 0.11/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.61 fof(f45,negated_conjecture,(
% 0.11/0.61 ~((! [X,Y] :( X = Y| (? [U] :( member(U,X)& ~ member(U,Y) ))| (? [W] :( member(W,Y)& ~ member(W,X) ) )) ))),
% 0.11/0.61 inference(negated_conjecture,[status(cth)],[f44])).
% 0.11/0.61 fof(f46,plain,(
% 0.11/0.61 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.11/0.61 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.11/0.61 fof(f47,plain,(
% 0.11/0.61 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.11/0.61 inference(NNF_transformation,[status(thm)],[f46])).
% 0.11/0.61 fof(f48,plain,(
% 0.11/0.61 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.11/0.61 inference(miniscoping,[status(thm)],[f47])).
% 0.11/0.61 fof(f49,plain,(
% 0.11/0.61 (![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))))),
% 0.11/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.11/0.61 fof(f51,plain,(
% 0.11/0.61 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/0.61 fof(f52,plain,(
% 0.11/0.61 ![X0,X1]: (subclass(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/0.61 fof(f54,plain,(
% 0.11/0.61 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.11/0.61 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.61 fof(f55,plain,(
% 0.11/0.61 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.11/0.61 inference(miniscoping,[status(thm)],[f54])).
% 0.11/0.61 fof(f58,plain,(
% 0.11/0.61 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.61 fof(f191,plain,(
% 0.11/0.61 (?[X,Y]: ((~X=Y&(![U]: (~member(U,X)|member(U,Y))))&(![W]: (~member(W,Y)|member(W,X)))))),
% 0.11/0.61 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.11/0.61 fof(f192,plain,(
% 0.11/0.61 ((~sK7_skl=sK8_skl&(![U]: (~member(U,sK7_skl)|member(U,sK8_skl))))&(![W]: (~member(W,sK8_skl)|member(W,sK7_skl))))),
% 0.11/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.11/0.61 fof(f193,plain,(
% 0.11/0.61 ~sK7_skl=sK8_skl),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.61 fof(f194,plain,(
% 0.11/0.61 ![X0]: (~member(X0,sK7_skl)|member(X0,sK8_skl))),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.61 fof(f195,plain,(
% 0.11/0.61 ![X0]: (~member(X0,sK8_skl)|member(X0,sK7_skl))),
% 0.11/0.61 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.61 fof(f207,plain,(
% 0.11/0.61 ![X0]: (subclass(sK8_skl,X0)|member(sK0_skl(X0,sK8_skl),sK7_skl))),
% 0.11/0.61 inference(resolution,[status(thm)],[f51,f195])).
% 0.11/0.61 fof(f208,plain,(
% 0.11/0.61 ![X0]: (subclass(sK7_skl,X0)|member(sK0_skl(X0,sK7_skl),sK8_skl))),
% 0.11/0.61 inference(resolution,[status(thm)],[f51,f194])).
% 0.11/0.61 fof(f243,plain,(
% 0.11/0.61 subclass(sK8_skl,sK7_skl)|subclass(sK8_skl,sK7_skl)),
% 0.11/0.61 inference(resolution,[status(thm)],[f52,f207])).
% 0.11/0.61 fof(f245,definition,(
% 0.11/0.61 sQ4_spl <=> (subclass(sK8_skl,sK7_skl))),
% 0.11/0.61 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.61 fof(f246,plain,(
% 0.11/0.61 subclass(sK8_skl,sK7_skl)|~sQ4_spl),
% 0.11/0.61 inference(component_clause,[status(thm)],[f245])).
% 0.11/0.61 fof(f248,plain,(
% 0.11/0.61 sQ4_spl),
% 0.11/0.61 inference(split_clause,[status(thm)],[f243,f245])).
% 0.11/0.61 fof(f255,plain,(
% 0.11/0.61 sK7_skl=sK8_skl|~subclass(sK7_skl,sK8_skl)|~sQ4_spl),
% 0.11/0.61 inference(resolution,[status(thm)],[f246,f58])).
% 0.11/0.61 fof(f257,definition,(
% 0.11/0.61 sQ5_spl <=> (sK7_skl=sK8_skl)),
% 0.11/0.61 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.61 fof(f258,plain,(
% 0.11/0.61 sK7_skl=sK8_skl|~sQ5_spl),
% 0.11/0.61 inference(component_clause,[status(thm)],[f257])).
% 0.11/0.61 fof(f260,definition,(
% 0.11/0.61 sQ6_spl <=> (subclass(sK7_skl,sK8_skl))),
% 0.11/0.61 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.61 fof(f263,plain,(
% 0.11/0.61 sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.11/0.61 inference(split_clause,[status(thm)],[f255,f257,f260,f245])).
% 0.11/0.61 fof(f264,plain,(
% 0.11/0.61 $false|~sQ5_spl),
% 0.11/0.61 inference(forward_subsumption_resolution,[status(thm)],[f258,f193])).
% 0.11/0.61 fof(f265,plain,(
% 0.11/0.61 ~sQ5_spl),
% 0.11/0.61 inference(contradiction_clause,[status(thm)],[f264])).
% 0.11/0.61 fof(f267,plain,(
% 0.11/0.61 subclass(sK7_skl,sK8_skl)|subclass(sK7_skl,sK8_skl)),
% 0.11/0.61 inference(resolution,[status(thm)],[f208,f52])).
% 0.11/0.61 fof(f269,plain,(
% 0.11/0.61 sQ6_spl),
% 0.11/0.61 inference(split_clause,[status(thm)],[f267,f260])).
% 0.11/0.61 fof(f270,plain,(
% 0.11/0.61 $false),
% 0.11/0.61 inference(sat_refutation,[status(thm)],[f248,f263,f265,f269])).
% 0.11/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.64 % Elapsed time: 0.052666 seconds
% 0.15/0.64 % CPU time: 0.152965 seconds
% 0.15/0.64 % Total memory used: 104.671 MB
% 0.15/0.64 % Net memory used: 104.564 MB
%------------------------------------------------------------------------------