%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET082+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 : n012.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 02:11:29 PM UTC 2026
% Result : Theorem 0.08s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET082+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 04:50:22 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.08/0.34 % Refutation found
% 0.08/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.34 fof(f4,axiom,(
% 0.08/0.34 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.08/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.34 fof(f6,axiom,(
% 0.08/0.34 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.08/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.34 fof(f41,axiom,(
% 0.08/0.34 (! [X] :( X != null_class=> (? [U] :( member(U,universal_class)& member(U,X)& disjoint(U,X) ) )) )),
% 0.08/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.34 fof(f44,conjecture,(
% 0.08/0.34 (! [X] :( ~ member(X,universal_class)=> singleton(X) = null_class ) )),
% 0.08/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.34 fof(f45,negated_conjecture,(
% 0.08/0.34 ~((! [X] :( ~ member(X,universal_class)=> singleton(X) = null_class ) ))),
% 0.08/0.34 inference(negated_conjecture,[status(cth)],[f44])).
% 0.08/0.34 fof(f59,plain,(
% 0.08/0.34 ![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))))),
% 0.08/0.34 inference(NNF_transformation,[status(thm)],[f4])).
% 0.08/0.34 fof(f60,plain,(
% 0.08/0.34 (![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))))),
% 0.08/0.34 inference(miniscoping,[status(thm)],[f59])).
% 0.08/0.34 fof(f62,plain,(
% 0.08/0.34 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f60])).
% 0.08/0.34 fof(f66,plain,(
% 0.08/0.34 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.34 fof(f181,plain,(
% 0.08/0.34 ![X]: (X=null_class|(?[U]: ((member(U,universal_class)&member(U,X))&disjoint(U,X))))),
% 0.08/0.34 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.08/0.34 fof(f182,plain,(
% 0.08/0.34 ![X]: (X=null_class|((member(sK5_skl(X),universal_class)&member(sK5_skl(X),X))&disjoint(sK5_skl(X),X)))),
% 0.08/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(U,sK5_skl(X))],[f181])).
% 0.08/0.34 fof(f183,plain,(
% 0.08/0.34 ![X0]: (X0=null_class|member(sK5_skl(X0),universal_class))),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f182])).
% 0.08/0.34 fof(f184,plain,(
% 0.08/0.34 ![X0]: (X0=null_class|member(sK5_skl(X0),X0))),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f182])).
% 0.08/0.34 fof(f191,plain,(
% 0.08/0.34 (?[X]: (~member(X,universal_class)&~singleton(X)=null_class))),
% 0.08/0.34 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.08/0.34 fof(f192,plain,(
% 0.08/0.34 (~member(sK7_skl,universal_class)&~singleton(sK7_skl)=null_class)),
% 0.08/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl)],[f191])).
% 0.08/0.34 fof(f193,plain,(
% 0.08/0.34 ~member(sK7_skl,universal_class)),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f192])).
% 0.08/0.34 fof(f194,plain,(
% 0.08/0.34 ~singleton(sK7_skl)=null_class),
% 0.08/0.34 inference(cnf_transformation,[status(thm)],[f192])).
% 0.08/0.34 fof(f230,plain,(
% 0.08/0.34 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.08/0.34 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.08/0.34 fof(f231,plain,(
% 0.08/0.34 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.08/0.34 inference(duplicate_literals_removal,[status(thm)],[f230])).
% 0.08/0.34 fof(f232,plain,(
% 0.08/0.34 ![X0]: (sK5_skl(singleton(X0))=X0|singleton(X0)=null_class)),
% 0.08/0.34 inference(resolution,[status(thm)],[f231,f184])).
% 0.08/0.34 fof(f320,plain,(
% 0.08/0.34 ![X0]: (singleton(X0)=null_class|member(X0,universal_class)|singleton(X0)=null_class)),
% 0.08/0.34 inference(paramodulation,[status(thm)],[f232,f183])).
% 0.08/0.34 fof(f323,plain,(
% 0.08/0.34 ![X0]: (singleton(X0)=null_class|member(X0,universal_class))),
% 0.08/0.34 inference(duplicate_literals_removal,[status(thm)],[f320])).
% 0.08/0.34 fof(f337,plain,(
% 0.08/0.34 singleton(sK7_skl)=null_class),
% 0.08/0.34 inference(resolution,[status(thm)],[f323,f193])).
% 0.08/0.34 fof(f340,plain,(
% 0.08/0.34 $false),
% 0.08/0.34 inference(forward_subsumption_resolution,[status(thm)],[f337,f194])).
% 0.08/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.36 % Elapsed time: 0.049034 seconds
% 0.08/0.36 % CPU time: 0.124016 seconds
% 0.08/0.36 % Total memory used: 105.764 MB
% 0.08/0.36 % Net memory used: 105.587 MB
%------------------------------------------------------------------------------