%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET067+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 02:11:25 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET067+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.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 04:49:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,axiom,(
% 0.13/0.40 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,conjecture,(
% 0.13/0.40 (! [X,Y] : subclass(unordered_pair(X,X),unordered_pair(X,Y)) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,negated_conjecture,(
% 0.13/0.40 ~((! [X,Y] : subclass(unordered_pair(X,X),unordered_pair(X,Y)) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f44])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f46])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f47])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 (![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))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 ![X0,X1]: (subclass(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 ![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))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 (![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))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f59])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|member(X0,universal_class))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 (?[X,Y]: ~subclass(unordered_pair(X,X),unordered_pair(X,Y)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f192,plain,(
% 0.13/0.40 ~subclass(unordered_pair(sK7_skl,sK7_skl),unordered_pair(sK7_skl,sK8_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 ~subclass(unordered_pair(sK7_skl,sK7_skl),unordered_pair(sK7_skl,sK8_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.13/0.40 fof(f200,plain,(
% 0.13/0.40 ~subclass(singleton(sK7_skl),unordered_pair(sK7_skl,sK8_skl))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f66,f193])).
% 0.13/0.40 fof(f208,plain,(
% 0.13/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.13/0.40 fof(f209,plain,(
% 0.13/0.40 ![X0,X1]: (~member(X0,singleton(X1))|member(X0,universal_class))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f66,f61])).
% 0.13/0.40 fof(f211,plain,(
% 0.13/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.13/0.40 inference(duplicate_literals_removal,[status(thm)],[f208])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ![X0,X1]: (sK0_skl(X0,singleton(X1))=X1|subclass(singleton(X1),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f211,f51])).
% 0.13/0.40 fof(f232,plain,(
% 0.13/0.40 sK0_skl(unordered_pair(sK7_skl,sK8_skl),singleton(sK7_skl))=sK7_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f221,f200])).
% 0.13/0.40 fof(f262,plain,(
% 0.13/0.40 subclass(singleton(sK7_skl),unordered_pair(sK7_skl,sK8_skl))|~member(sK7_skl,unordered_pair(sK7_skl,sK8_skl))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f232,f52])).
% 0.13/0.40 fof(f263,plain,(
% 0.13/0.40 subclass(singleton(sK7_skl),unordered_pair(sK7_skl,sK8_skl))|member(sK7_skl,singleton(sK7_skl))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f232,f51])).
% 0.13/0.40 fof(f264,plain,(
% 0.13/0.40 ~member(sK7_skl,unordered_pair(sK7_skl,sK8_skl))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f262,f200])).
% 0.13/0.40 fof(f265,plain,(
% 0.13/0.40 member(sK7_skl,singleton(sK7_skl))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f263,f200])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 member(sK7_skl,universal_class)),
% 0.13/0.40 inference(resolution,[status(thm)],[f265,f209])).
% 0.13/0.40 fof(f268,plain,(
% 0.13/0.40 ~member(sK7_skl,universal_class)),
% 0.13/0.40 inference(resolution,[status(thm)],[f264,f196])).
% 0.13/0.40 fof(f270,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f268,f266])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.060392 seconds
% 0.13/0.42 % CPU time: 0.185605 seconds
% 0.13/0.42 % Total memory used: 105.313 MB
% 0.13/0.42 % Net memory used: 105.145 MB
%------------------------------------------------------------------------------