%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET081+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 : n006.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 02:11:28 PM UTC 2026
% Result : Theorem 0.09s 5.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET081+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.53 % Computer : n006.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Mon Sep 21 04:50:36 UTC 2026
% 0.09/5.53 % CPUTime :
% 0.09/5.55 % Drodi V4.1.1
% 0.09/5.56 % Refutation found
% 0.09/5.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.56 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.56 fof(f4,axiom,(
% 0.09/5.56 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.09/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56 fof(f6,axiom,(
% 0.09/5.56 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.09/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56 fof(f44,conjecture,(
% 0.09/5.56 (! [X,Y] :( member(Y,singleton(X))=> Y = X ) )),
% 0.09/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.56 fof(f45,negated_conjecture,(
% 0.09/5.56 ~((! [X,Y] :( member(Y,singleton(X))=> Y = X ) ))),
% 0.09/5.56 inference(negated_conjecture,[status(cth)],[f44])).
% 0.09/5.56 fof(f59,plain,(
% 0.09/5.56 ![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))))),
% 0.09/5.56 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/5.56 fof(f60,plain,(
% 0.09/5.56 (![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))))),
% 0.09/5.56 inference(miniscoping,[status(thm)],[f59])).
% 0.09/5.56 fof(f62,plain,(
% 0.09/5.56 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.09/5.56 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/5.56 fof(f66,plain,(
% 0.09/5.56 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.09/5.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/5.56 fof(f191,plain,(
% 0.09/5.56 (?[X,Y]: (member(Y,singleton(X))&~Y=X))),
% 0.09/5.56 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/5.56 fof(f192,plain,(
% 0.09/5.56 (member(sK8_skl,singleton(sK7_skl))&~sK8_skl=sK7_skl)),
% 0.09/5.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.09/5.56 fof(f193,plain,(
% 0.09/5.56 member(sK8_skl,singleton(sK7_skl))),
% 0.09/5.56 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/5.56 fof(f194,plain,(
% 0.09/5.56 ~sK8_skl=sK7_skl),
% 0.09/5.56 inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/5.56 fof(f251,plain,(
% 0.09/5.56 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.09/5.56 fof(f252,plain,(
% 0.09/5.56 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.09/5.56 inference(duplicate_literals_removal,[status(thm)],[f251])).
% 0.09/5.56 fof(f303,plain,(
% 0.09/5.56 sK8_skl=sK7_skl),
% 0.09/5.56 inference(resolution,[status(thm)],[f252,f193])).
% 0.09/5.56 fof(f304,plain,(
% 0.09/5.56 $false),
% 0.09/5.56 inference(forward_subsumption_resolution,[status(thm)],[f303,f194])).
% 0.09/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/5.59 % Elapsed time: 0.047926 seconds
% 0.09/5.59 % CPU time: 0.132601 seconds
% 0.09/5.59 % Total memory used: 62.290 MB
% 0.09/5.59 % Net memory used: 62.226 MB
%------------------------------------------------------------------------------