%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET076+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:11:27 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 : SET076+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 04:54:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % 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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,conjecture,(
% 0.13/0.40 (! [X,Y,Z] :( ( member(X,Z)& member(Y,Z) )=> subclass(unordered_pair(X,Y),Z) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,negated_conjecture,(
% 0.13/0.40 ~((! [X,Y,Z] :( ( member(X,Z)& member(Y,Z) )=> subclass(unordered_pair(X,Y),Z) ) ))),
% 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(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(f191,plain,(
% 0.13/0.40 (?[X,Y,Z]: ((member(X,Z)&member(Y,Z))&~subclass(unordered_pair(X,Y),Z)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f192,plain,(
% 0.13/0.40 ((member(sK7_skl,sK9_skl)&member(sK8_skl,sK9_skl))&~subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl),skolemize(Z,sK9_skl)],[f191])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 member(sK7_skl,sK9_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 member(sK8_skl,sK9_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f195,plain,(
% 0.13/0.40 ~subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40 fof(f211,plain,(
% 0.13/0.40 ![X0,X1,X2]: (sK0_skl(X0,unordered_pair(X1,X2))=X1|sK0_skl(X0,unordered_pair(X1,X2))=X2|subclass(unordered_pair(X1,X2),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f62,f51])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl))=sK7_skl|sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl))=sK8_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f211,f195])).
% 0.13/0.40 fof(f294,plain,(
% 0.13/0.40 subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl)|~member(sK8_skl,sK9_skl)|sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl))=sK7_skl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f282,f52])).
% 0.13/0.40 fof(f298,plain,(
% 0.13/0.40 ~member(sK8_skl,sK9_skl)|sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl))=sK7_skl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f294,f195])).
% 0.13/0.40 fof(f340,plain,(
% 0.13/0.40 sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl))=sK7_skl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f298,f194])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl)|~member(sK7_skl,sK9_skl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f340,f52])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ~member(sK7_skl,sK9_skl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f342,f195])).
% 0.13/0.40 fof(f350,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f345,f193])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.051266 seconds
% 0.13/0.42 % CPU time: 0.142901 seconds
% 0.13/0.42 % Total memory used: 46.397 MB
% 0.13/0.42 % Net memory used: 46.310 MB
%------------------------------------------------------------------------------