%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET103+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 : n011.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 02:11:33 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET103+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:52:55 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,axiom,(
% 0.16/0.47 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f2,axiom,(
% 0.16/0.47 (! [X] : subclass(X,universal_class) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f4,axiom,(
% 0.16/0.47 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f6,axiom,(
% 0.16/0.47 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f7,axiom,(
% 0.16/0.47 (! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f41,axiom,(
% 0.16/0.47 (! [X] :( X != null_class=> (? [U] :( member(U,universal_class)& member(U,X)& disjoint(U,X) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f44,conjecture,(
% 0.16/0.47 (! [X,Y] :( unordered_pair(singleton(X),unordered_pair(X,null_class)) = ordered_pair(X,Y)| member(Y,universal_class) ) )),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f45,negated_conjecture,(
% 0.16/0.47 ~((! [X,Y] :( unordered_pair(singleton(X),unordered_pair(X,null_class)) = ordered_pair(X,Y)| member(Y,universal_class) ) ))),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f44])).
% 0.16/0.47 fof(f46,plain,(
% 0.16/0.47 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/0.47 fof(f47,plain,(
% 0.16/0.47 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f46])).
% 0.16/0.47 fof(f48,plain,(
% 0.16/0.47 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f47])).
% 0.16/0.47 fof(f49,plain,(
% 0.16/0.47 (![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))))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.16/0.47 fof(f50,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f49])).
% 0.16/0.47 fof(f53,plain,(
% 0.16/0.47 ![X0]: (subclass(X0,universal_class))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f59,plain,(
% 0.16/0.47 ![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))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f4])).
% 0.16/0.47 fof(f60,plain,(
% 0.16/0.47 (![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))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f59])).
% 0.16/0.47 fof(f62,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f60])).
% 0.16/0.47 fof(f66,plain,(
% 0.16/0.47 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.47 fof(f67,plain,(
% 0.16/0.47 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.47 fof(f181,plain,(
% 0.16/0.47 ![X]: (X=null_class|(?[U]: ((member(U,universal_class)&member(U,X))&disjoint(U,X))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.16/0.47 fof(f182,plain,(
% 0.16/0.47 ![X]: (X=null_class|((member(sK5_skl(X),universal_class)&member(sK5_skl(X),X))&disjoint(sK5_skl(X),X)))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(U,sK5_skl(X))],[f181])).
% 0.16/0.47 fof(f184,plain,(
% 0.16/0.47 ![X0]: (X0=null_class|member(sK5_skl(X0),X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f182])).
% 0.16/0.47 fof(f191,plain,(
% 0.16/0.47 (?[X,Y]: (~unordered_pair(singleton(X),unordered_pair(X,null_class))=ordered_pair(X,Y)&~member(Y,universal_class)))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.16/0.47 fof(f192,plain,(
% 0.16/0.48 ?[Y]: ((?[X]: ~unordered_pair(singleton(X),unordered_pair(X,null_class))=ordered_pair(X,Y))&~member(Y,universal_class))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f191])).
% 0.16/0.48 fof(f193,plain,(
% 0.16/0.48 (~unordered_pair(singleton(sK8_skl),unordered_pair(sK8_skl,null_class))=ordered_pair(sK8_skl,sK7_skl)&~member(sK7_skl,universal_class))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(Y,sK7_skl),skolemize(X,sK8_skl)],[f192])).
% 0.16/0.48 fof(f194,plain,(
% 0.16/0.48 ~unordered_pair(singleton(sK8_skl),unordered_pair(sK8_skl,null_class))=ordered_pair(sK8_skl,sK7_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f193])).
% 0.16/0.48 fof(f195,plain,(
% 0.16/0.48 ~member(sK7_skl,universal_class)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f193])).
% 0.16/0.48 fof(f204,plain,(
% 0.16/0.48 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.16/0.48 fof(f205,plain,(
% 0.16/0.48 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f204])).
% 0.16/0.48 fof(f256,plain,(
% 0.16/0.48 ![X0]: (singleton(X0)=null_class|sK5_skl(singleton(X0))=X0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f184,f205])).
% 0.16/0.48 fof(f345,plain,(
% 0.16/0.48 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.16/0.48 inference(resolution,[status(thm)],[f53,f50])).
% 0.16/0.48 fof(f405,plain,(
% 0.16/0.48 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0))|singleton(X0)=null_class)),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f256,f184])).
% 0.16/0.48 fof(f407,plain,(
% 0.16/0.48 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0)))),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f405])).
% 0.16/0.48 fof(f447,plain,(
% 0.16/0.48 ![X0]: (singleton(X0)=null_class|member(X0,universal_class))),
% 0.16/0.48 inference(resolution,[status(thm)],[f407,f345])).
% 0.16/0.48 fof(f448,plain,(
% 0.16/0.48 singleton(sK7_skl)=null_class),
% 0.16/0.48 inference(resolution,[status(thm)],[f447,f195])).
% 0.16/0.48 fof(f455,plain,(
% 0.16/0.48 ![X0]: (ordered_pair(X0,sK7_skl)=unordered_pair(singleton(X0),unordered_pair(X0,null_class)))),
% 0.16/0.48 inference(paramodulation,[status(thm)],[f448,f67])).
% 0.16/0.48 fof(f692,plain,(
% 0.16/0.48 ~ordered_pair(sK8_skl,sK7_skl)=ordered_pair(sK8_skl,sK7_skl)),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f455,f194])).
% 0.16/0.48 fof(f706,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(trivial_equality_resolution,[status(thm)],[f692])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.53 % Elapsed time: 0.089400 seconds
% 0.16/0.53 % CPU time: 0.128489 seconds
% 0.16/0.53 % Total memory used: 13.422 MB
% 0.16/0.53 % Net memory used: 13.395 MB
%------------------------------------------------------------------------------