%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET101+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 : n026.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 0.15s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET101+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
% 0.09/0.36 % Computer : n026.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 04:55:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.44 % Refutation found
% 0.15/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.44 fof(f4,axiom,(
% 0.15/0.44 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f5,axiom,(
% 0.15/0.44 (! [X,Y] : member(unordered_pair(X,Y),universal_class) )),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f6,axiom,(
% 0.15/0.44 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f7,axiom,(
% 0.15/0.44 (! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) )),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f44,conjecture,(
% 0.15/0.44 (! [X,Y] : member(singleton(X),ordered_pair(X,Y)) )),
% 0.15/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f45,negated_conjecture,(
% 0.15/0.44 ~((! [X,Y] : member(singleton(X),ordered_pair(X,Y)) ))),
% 0.15/0.44 inference(negated_conjecture,[status(cth)],[f44])).
% 0.15/0.44 fof(f59,plain,(
% 0.15/0.44 ![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))))),
% 0.15/0.44 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.44 fof(f60,plain,(
% 0.15/0.44 (![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))))),
% 0.15/0.44 inference(miniscoping,[status(thm)],[f59])).
% 0.15/0.44 fof(f63,plain,(
% 0.15/0.44 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f60])).
% 0.15/0.44 fof(f65,plain,(
% 0.15/0.44 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.44 fof(f66,plain,(
% 0.15/0.44 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.44 fof(f67,plain,(
% 0.15/0.44 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.44 fof(f191,plain,(
% 0.15/0.44 (?[X,Y]: ~member(singleton(X),ordered_pair(X,Y)))),
% 0.15/0.44 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.15/0.44 fof(f192,plain,(
% 0.15/0.44 ~member(singleton(sK7_skl),ordered_pair(sK7_skl,sK8_skl))),
% 0.15/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.15/0.44 fof(f193,plain,(
% 0.15/0.44 ~member(singleton(sK7_skl),ordered_pair(sK7_skl,sK8_skl))),
% 0.15/0.44 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/0.44 fof(f196,plain,(
% 0.15/0.44 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.15/0.44 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.15/0.44 fof(f202,plain,(
% 0.15/0.44 ![X0]: (member(singleton(X0),universal_class))),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f66,f65])).
% 0.15/0.44 fof(f264,plain,(
% 0.15/0.44 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1))|~member(singleton(X0),universal_class))),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f67,f196])).
% 0.15/0.44 fof(f271,plain,(
% 0.15/0.44 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1)))),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f264,f202])).
% 0.15/0.44 fof(f272,plain,(
% 0.15/0.44 $false),
% 0.15/0.44 inference(backward_subsumption_resolution,[status(thm)],[f193,f271])).
% 0.15/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.46 % Elapsed time: 0.081282 seconds
% 0.15/0.46 % CPU time: 0.282584 seconds
% 0.15/0.46 % Total memory used: 64.005 MB
% 0.15/0.46 % Net memory used: 63.843 MB
%------------------------------------------------------------------------------