%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET071+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 : n007.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 02:11:26 PM UTC 2026
% Result : Theorem 0.17s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET071+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 04:47:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.57 % Refutation found
% 0.17/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.57 fof(f1,axiom,(
% 0.17/0.57 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f2,axiom,(
% 0.17/0.57 (! [X] : subclass(X,universal_class) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f3,axiom,(
% 0.17/0.57 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f4,axiom,(
% 0.17/0.57 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f16,axiom,(
% 0.17/0.57 (! [X] : ~ member(X,null_class) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f44,conjecture,(
% 0.17/0.57 (! [X,Y] :( ( ~ member(X,universal_class)& ~ member(Y,universal_class) )=> unordered_pair(X,Y) = null_class ) )),
% 0.17/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.57 fof(f45,negated_conjecture,(
% 0.17/0.57 ~((! [X,Y] :( ( ~ member(X,universal_class)& ~ member(Y,universal_class) )=> unordered_pair(X,Y) = null_class ) ))),
% 0.17/0.57 inference(negated_conjecture,[status(cth)],[f44])).
% 0.17/0.57 fof(f46,plain,(
% 0.17/0.57 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.17/0.57 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.17/0.57 fof(f47,plain,(
% 0.17/0.57 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.17/0.57 inference(NNF_transformation,[status(thm)],[f46])).
% 0.17/0.57 fof(f48,plain,(
% 0.17/0.57 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.17/0.57 inference(miniscoping,[status(thm)],[f47])).
% 0.17/0.57 fof(f49,plain,(
% 0.17/0.57 (![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))))),
% 0.17/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.17/0.57 fof(f50,plain,(
% 0.17/0.57 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.57 fof(f51,plain,(
% 0.17/0.57 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.57 fof(f53,plain,(
% 0.17/0.57 ![X0]: (subclass(X0,universal_class))),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.57 fof(f54,plain,(
% 0.17/0.57 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.17/0.57 inference(NNF_transformation,[status(thm)],[f3])).
% 0.17/0.57 fof(f55,plain,(
% 0.17/0.57 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.17/0.57 inference(miniscoping,[status(thm)],[f54])).
% 0.17/0.57 fof(f58,plain,(
% 0.17/0.57 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.17/0.57 fof(f59,plain,(
% 0.17/0.57 ![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))))),
% 0.17/0.57 inference(NNF_transformation,[status(thm)],[f4])).
% 0.17/0.57 fof(f60,plain,(
% 0.17/0.57 (![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))))),
% 0.17/0.57 inference(miniscoping,[status(thm)],[f59])).
% 0.17/0.57 fof(f62,plain,(
% 0.17/0.57 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f60])).
% 0.17/0.57 fof(f96,plain,(
% 0.17/0.57 ![X0]: (~member(X0,null_class))),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.57 fof(f191,plain,(
% 0.17/0.57 (?[X,Y]: ((~member(X,universal_class)&~member(Y,universal_class))&~unordered_pair(X,Y)=null_class))),
% 0.17/0.57 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.17/0.57 fof(f192,plain,(
% 0.17/0.57 ((~member(sK7_skl,universal_class)&~member(sK8_skl,universal_class))&~unordered_pair(sK7_skl,sK8_skl)=null_class)),
% 0.17/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.17/0.57 fof(f193,plain,(
% 0.17/0.57 ~member(sK7_skl,universal_class)),
% 0.17/0.57 inference(cnf_transformation,[status(thm)],[f192])).
% 0.17/0.57 fof(f194,plain,(
% 0.17/0.59 ~member(sK8_skl,universal_class)),
% 0.17/0.59 inference(cnf_transformation,[status(thm)],[f192])).
% 0.17/0.59 fof(f195,plain,(
% 0.17/0.59 ~unordered_pair(sK7_skl,sK8_skl)=null_class),
% 0.17/0.59 inference(cnf_transformation,[status(thm)],[f192])).
% 0.17/0.59 fof(f226,plain,(
% 0.17/0.59 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.17/0.59 inference(resolution,[status(thm)],[f53,f50])).
% 0.17/0.59 fof(f238,plain,(
% 0.17/0.59 ![X0]: (subclass(null_class,X0))),
% 0.17/0.59 inference(resolution,[status(thm)],[f51,f96])).
% 0.17/0.59 fof(f239,plain,(
% 0.17/0.59 ![X0,X1,X2]: (subclass(unordered_pair(X0,X1),X2)|sK0_skl(X2,unordered_pair(X0,X1))=X0|sK0_skl(X2,unordered_pair(X0,X1))=X1)),
% 0.17/0.59 inference(resolution,[status(thm)],[f51,f62])).
% 0.17/0.59 fof(f294,plain,(
% 0.17/0.59 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 0.17/0.59 inference(resolution,[status(thm)],[f238,f58])).
% 0.17/0.59 fof(f299,plain,(
% 0.17/0.59 ![X0,X1]: (sK0_skl(null_class,unordered_pair(X0,X1))=X0|sK0_skl(null_class,unordered_pair(X0,X1))=X1|unordered_pair(X0,X1)=null_class)),
% 0.17/0.59 inference(resolution,[status(thm)],[f239,f294])).
% 0.17/0.59 fof(f344,plain,(
% 0.17/0.59 ![X0,X1]: (subclass(unordered_pair(X0,X1),null_class)|member(X0,unordered_pair(X0,X1))|sK0_skl(null_class,unordered_pair(X0,X1))=X1|unordered_pair(X0,X1)=null_class)),
% 0.17/0.59 inference(paramodulation,[status(thm)],[f299,f51])).
% 0.17/0.59 fof(f351,plain,(
% 0.17/0.59 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|sK0_skl(null_class,unordered_pair(X0,X1))=X1|unordered_pair(X0,X1)=null_class)),
% 0.17/0.59 inference(forward_subsumption_resolution,[status(thm)],[f344,f294])).
% 0.17/0.59 fof(f406,plain,(
% 0.17/0.59 ![X0]: (~member(sK8_skl,X0))),
% 0.17/0.59 inference(resolution,[status(thm)],[f226,f194])).
% 0.17/0.59 fof(f407,plain,(
% 0.17/0.59 ![X0]: (~member(sK7_skl,X0))),
% 0.17/0.59 inference(resolution,[status(thm)],[f226,f193])).
% 0.17/0.59 fof(f435,plain,(
% 0.17/0.59 ![X0]: (sK0_skl(null_class,unordered_pair(sK7_skl,X0))=X0|unordered_pair(sK7_skl,X0)=null_class)),
% 0.17/0.59 inference(resolution,[status(thm)],[f407,f351])).
% 0.17/0.59 fof(f535,plain,(
% 0.17/0.59 ![X0]: (subclass(unordered_pair(sK7_skl,X0),null_class)|member(X0,unordered_pair(sK7_skl,X0))|unordered_pair(sK7_skl,X0)=null_class)),
% 0.17/0.59 inference(paramodulation,[status(thm)],[f435,f51])).
% 0.17/0.59 fof(f540,plain,(
% 0.17/0.59 ![X0]: (member(X0,unordered_pair(sK7_skl,X0))|unordered_pair(sK7_skl,X0)=null_class)),
% 0.17/0.59 inference(forward_subsumption_resolution,[status(thm)],[f535,f294])).
% 0.17/0.59 fof(f593,plain,(
% 0.17/0.59 unordered_pair(sK7_skl,sK8_skl)=null_class),
% 0.17/0.59 inference(resolution,[status(thm)],[f540,f406])).
% 0.17/0.59 fof(f597,plain,(
% 0.17/0.59 $false),
% 0.17/0.59 inference(forward_subsumption_resolution,[status(thm)],[f593,f195])).
% 0.17/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.62 % Elapsed time: 0.160123 seconds
% 0.17/0.62 % CPU time: 0.724414 seconds
% 0.17/0.62 % Total memory used: 93.924 MB
% 0.17/0.62 % Net memory used: 93.066 MB
%------------------------------------------------------------------------------