%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET096+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 02:11:32 PM UTC 2026
% Result : Theorem 0.12s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET096+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 04:56:53 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.48 fof(f1,axiom,(
% 0.12/0.48 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f3,axiom,(
% 0.12/0.48 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f4,axiom,(
% 0.12/0.48 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f6,axiom,(
% 0.12/0.48 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f41,axiom,(
% 0.12/0.48 (! [X] :( X != null_class=> (? [U] :( member(U,universal_class)& member(U,X)& disjoint(U,X) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f44,conjecture,(
% 0.12/0.48 (! [X,Y] :( subclass(X,singleton(Y))=> ( X = null_class| singleton(Y) = X ) ) )),
% 0.12/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f45,negated_conjecture,(
% 0.12/0.48 ~((! [X,Y] :( subclass(X,singleton(Y))=> ( X = null_class| singleton(Y) = X ) ) ))),
% 0.12/0.48 inference(negated_conjecture,[status(cth)],[f44])).
% 0.12/0.48 fof(f46,plain,(
% 0.12/0.48 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.48 fof(f47,plain,(
% 0.12/0.48 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f46])).
% 0.12/0.48 fof(f48,plain,(
% 0.12/0.48 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f47])).
% 0.12/0.48 fof(f49,plain,(
% 0.12/0.48 (![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))))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.12/0.48 fof(f50,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.48 fof(f51,plain,(
% 0.12/0.48 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.48 fof(f52,plain,(
% 0.12/0.48 ![X0,X1]: (subclass(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.48 fof(f54,plain,(
% 0.12/0.48 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/0.48 fof(f55,plain,(
% 0.12/0.48 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f54])).
% 0.12/0.48 fof(f58,plain,(
% 0.12/0.48 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f55])).
% 0.12/0.48 fof(f59,plain,(
% 0.12/0.48 ![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))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.48 fof(f60,plain,(
% 0.12/0.48 (![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))))),
% 0.12/0.48 inference(miniscoping,[status(thm)],[f59])).
% 0.12/0.48 fof(f62,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f60])).
% 0.12/0.48 fof(f66,plain,(
% 0.12/0.48 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.48 fof(f181,plain,(
% 0.12/0.48 ![X]: (X=null_class|(?[U]: ((member(U,universal_class)&member(U,X))&disjoint(U,X))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.12/0.48 fof(f182,plain,(
% 0.12/0.48 ![X]: (X=null_class|((member(sK5_skl(X),universal_class)&member(sK5_skl(X),X))&disjoint(sK5_skl(X),X)))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(U,sK5_skl(X))],[f181])).
% 0.12/0.48 fof(f184,plain,(
% 0.12/0.48 ![X0]: (X0=null_class|member(sK5_skl(X0),X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f182])).
% 0.12/0.48 fof(f191,plain,(
% 0.12/0.49 (?[X,Y]: (subclass(X,singleton(Y))&(~X=null_class&~singleton(Y)=X)))),
% 0.12/0.49 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.12/0.49 fof(f192,plain,(
% 0.12/0.49 (subclass(sK7_skl,singleton(sK8_skl))&(~sK7_skl=null_class&~singleton(sK8_skl)=sK7_skl))),
% 0.12/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.12/0.49 fof(f193,plain,(
% 0.12/0.49 subclass(sK7_skl,singleton(sK8_skl))),
% 0.12/0.49 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.49 fof(f194,plain,(
% 0.12/0.49 ~sK7_skl=null_class),
% 0.12/0.49 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.49 fof(f195,plain,(
% 0.12/0.49 ~singleton(sK8_skl)=sK7_skl),
% 0.12/0.49 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/0.49 fof(f202,plain,(
% 0.12/0.49 singleton(sK8_skl)=sK7_skl|~subclass(singleton(sK8_skl),sK7_skl)),
% 0.12/0.49 inference(resolution,[status(thm)],[f58,f193])).
% 0.12/0.49 fof(f205,plain,(
% 0.12/0.49 ~subclass(singleton(sK8_skl),sK7_skl)),
% 0.12/0.49 inference(forward_subsumption_resolution,[status(thm)],[f202,f195])).
% 0.12/0.49 fof(f241,plain,(
% 0.12/0.49 ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(sK5_skl(X0),X1))),
% 0.12/0.49 inference(resolution,[status(thm)],[f184,f50])).
% 0.12/0.49 fof(f245,plain,(
% 0.12/0.49 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.12/0.49 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.12/0.49 fof(f246,plain,(
% 0.12/0.49 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.12/0.49 inference(duplicate_literals_removal,[status(thm)],[f245])).
% 0.12/0.49 fof(f280,plain,(
% 0.12/0.49 ![X0,X1]: (sK5_skl(X0)=X1|X0=null_class|~subclass(X0,singleton(X1)))),
% 0.12/0.49 inference(resolution,[status(thm)],[f246,f241])).
% 0.12/0.49 fof(f283,plain,(
% 0.12/0.49 ![X0,X1]: (sK0_skl(X0,singleton(X1))=X1|subclass(singleton(X1),X0))),
% 0.12/0.49 inference(resolution,[status(thm)],[f246,f51])).
% 0.12/0.49 fof(f330,plain,(
% 0.12/0.49 sK5_skl(sK7_skl)=sK8_skl|sK7_skl=null_class),
% 0.12/0.49 inference(resolution,[status(thm)],[f280,f193])).
% 0.12/0.49 fof(f333,plain,(
% 0.12/0.49 sK5_skl(sK7_skl)=sK8_skl),
% 0.12/0.49 inference(forward_subsumption_resolution,[status(thm)],[f330,f194])).
% 0.12/0.49 fof(f338,plain,(
% 0.12/0.49 sK7_skl=null_class|member(sK8_skl,sK7_skl)),
% 0.12/0.49 inference(paramodulation,[status(thm)],[f333,f184])).
% 0.12/0.49 fof(f341,plain,(
% 0.12/0.49 member(sK8_skl,sK7_skl)),
% 0.12/0.49 inference(forward_subsumption_resolution,[status(thm)],[f338,f194])).
% 0.12/0.49 fof(f1076,plain,(
% 0.12/0.49 sK0_skl(sK7_skl,singleton(sK8_skl))=sK8_skl),
% 0.12/0.49 inference(resolution,[status(thm)],[f283,f205])).
% 0.12/0.49 fof(f1095,plain,(
% 0.12/0.49 subclass(singleton(sK8_skl),sK7_skl)|~member(sK8_skl,sK7_skl)),
% 0.12/0.49 inference(paramodulation,[status(thm)],[f1076,f52])).
% 0.12/0.49 fof(f1098,plain,(
% 0.12/0.49 ~member(sK8_skl,sK7_skl)),
% 0.12/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1095,f205])).
% 0.12/0.49 fof(f1099,plain,(
% 0.12/0.49 $false),
% 0.12/0.49 inference(backward_subsumption_resolution,[status(thm)],[f341,f1098])).
% 0.12/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.51 % Elapsed time: 0.132008 seconds
% 0.12/0.51 % CPU time: 0.723511 seconds
% 0.12/0.51 % Total memory used: 112.127 MB
% 0.12/0.51 % Net memory used: 110.881 MB
%------------------------------------------------------------------------------