%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET094+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:11:31 PM UTC 2026
% Result : Theorem 0.15s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n017.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 04:46:42 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.49 % Refutation found
% 0.15/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.49 fof(f4,axiom,(
% 0.15/0.49 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f6,axiom,(
% 0.15/0.49 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f48,conjecture,(
% 0.15/0.49 (! [X,Y] :( ( singleton(member_of(X)) = X& member(Y,X) )=> member_of(X) = Y ) )),
% 0.15/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49 fof(f49,negated_conjecture,(
% 0.15/0.49 ~((! [X,Y] :( ( singleton(member_of(X)) = X& member(Y,X) )=> member_of(X) = Y ) ))),
% 0.15/0.49 inference(negated_conjecture,[status(cth)],[f48])).
% 0.15/0.49 fof(f63,plain,(
% 0.15/0.49 ![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))))),
% 0.15/0.49 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.49 fof(f64,plain,(
% 0.15/0.49 (![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))))),
% 0.15/0.49 inference(miniscoping,[status(thm)],[f63])).
% 0.15/0.49 fof(f66,plain,(
% 0.15/0.49 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f64])).
% 0.15/0.49 fof(f70,plain,(
% 0.15/0.49 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.49 fof(f201,plain,(
% 0.15/0.49 (?[X,Y]: ((singleton(member_of(X))=X&member(Y,X))&~member_of(X)=Y))),
% 0.15/0.49 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.15/0.49 fof(f202,plain,(
% 0.15/0.49 ((singleton(member_of(sK7_skl))=sK7_skl&member(sK8_skl,sK7_skl))&~member_of(sK7_skl)=sK8_skl)),
% 0.15/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f201])).
% 0.15/0.49 fof(f203,plain,(
% 0.15/0.49 singleton(member_of(sK7_skl))=sK7_skl),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f202])).
% 0.15/0.49 fof(f204,plain,(
% 0.15/0.49 member(sK8_skl,sK7_skl)),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f202])).
% 0.15/0.49 fof(f205,plain,(
% 0.15/0.49 ~member_of(sK7_skl)=sK8_skl),
% 0.15/0.49 inference(cnf_transformation,[status(thm)],[f202])).
% 0.15/0.49 fof(f837,plain,(
% 0.15/0.49 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f70,f66])).
% 0.15/0.49 fof(f838,plain,(
% 0.15/0.49 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.15/0.49 inference(duplicate_literals_removal,[status(thm)],[f837])).
% 0.15/0.49 fof(f1262,plain,(
% 0.15/0.49 ![X0]: (~member(X0,sK7_skl)|X0=member_of(sK7_skl))),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f203,f838])).
% 0.15/0.49 fof(f1491,plain,(
% 0.15/0.49 sK8_skl=member_of(sK7_skl)),
% 0.15/0.49 inference(resolution,[status(thm)],[f1262,f204])).
% 0.15/0.49 fof(f1496,plain,(
% 0.15/0.49 $false),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1491,f205])).
% 0.15/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.079355 seconds
% 0.15/0.51 % CPU time: 0.201442 seconds
% 0.15/0.51 % Total memory used: 30.954 MB
% 0.15/0.51 % Net memory used: 30.788 MB
%------------------------------------------------------------------------------