%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET090+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:11:30 PM UTC 2026
% Result : Theorem 0.08s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET090+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.57 % Computer : n004.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Mon Sep 21 04:51:07 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.59 % Drodi V4.1.1
% 0.08/0.62 % Refutation found
% 0.08/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.62 fof(f4,axiom,(
% 0.08/0.62 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.08/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.62 fof(f6,axiom,(
% 0.08/0.62 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.08/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.62 fof(f45,axiom,(
% 0.08/0.62 (! [Y] :( member(Y,universal_class)=> singleton(member_of(singleton(Y))) = singleton(Y) ) )),
% 0.08/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.62 fof(f48,conjecture,(
% 0.08/0.62 (! [X,U] :( ( member(U,universal_class)& X = singleton(U) )=> member_of(X) = U ) )),
% 0.08/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.62 fof(f49,negated_conjecture,(
% 0.08/0.62 ~((! [X,U] :( ( member(U,universal_class)& X = singleton(U) )=> member_of(X) = U ) ))),
% 0.08/0.62 inference(negated_conjecture,[status(cth)],[f48])).
% 0.08/0.62 fof(f63,plain,(
% 0.08/0.62 ![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))))),
% 0.08/0.62 inference(NNF_transformation,[status(thm)],[f4])).
% 0.08/0.62 fof(f64,plain,(
% 0.08/0.62 (![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))))),
% 0.08/0.62 inference(miniscoping,[status(thm)],[f63])).
% 0.08/0.62 fof(f66,plain,(
% 0.08/0.62 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f64])).
% 0.08/0.62 fof(f67,plain,(
% 0.08/0.62 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f64])).
% 0.08/0.62 fof(f70,plain,(
% 0.08/0.62 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.62 fof(f197,plain,(
% 0.08/0.62 ![Y]: (~member(Y,universal_class)|singleton(member_of(singleton(Y)))=singleton(Y))),
% 0.08/0.62 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.08/0.62 fof(f198,plain,(
% 0.08/0.62 ![X0]: (~member(X0,universal_class)|singleton(member_of(singleton(X0)))=singleton(X0))),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f197])).
% 0.08/0.62 fof(f201,plain,(
% 0.08/0.62 (?[X,U]: ((member(U,universal_class)&X=singleton(U))&~member_of(X)=U))),
% 0.08/0.62 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.08/0.62 fof(f202,plain,(
% 0.08/0.62 ((member(sK8_skl,universal_class)&sK7_skl=singleton(sK8_skl))&~member_of(sK7_skl)=sK8_skl)),
% 0.08/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(U,sK8_skl)],[f201])).
% 0.08/0.62 fof(f203,plain,(
% 0.08/0.62 member(sK8_skl,universal_class)),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/0.62 fof(f204,plain,(
% 0.08/0.62 sK7_skl=singleton(sK8_skl)),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/0.62 fof(f205,plain,(
% 0.08/0.62 ~member_of(sK7_skl)=sK8_skl),
% 0.08/0.62 inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/0.62 fof(f208,plain,(
% 0.08/0.62 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.08/0.62 inference(destructive_equality_resolution,[status(thm)],[f67])).
% 0.08/0.62 fof(f581,plain,(
% 0.08/0.62 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.08/0.62 inference(paramodulation,[status(thm)],[f70,f66])).
% 0.08/0.62 fof(f582,plain,(
% 0.08/0.62 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.08/0.62 inference(duplicate_literals_removal,[status(thm)],[f581])).
% 0.08/0.62 fof(f608,plain,(
% 0.08/0.62 singleton(member_of(singleton(sK8_skl)))=singleton(sK8_skl)),
% 0.08/0.62 inference(resolution,[status(thm)],[f198,f203])).
% 0.08/0.62 fof(f615,plain,(
% 0.08/0.62 singleton(member_of(sK7_skl))=singleton(sK8_skl)),
% 0.08/0.62 inference(forward_demodulation,[status(thm)],[f204,f608])).
% 0.08/0.62 fof(f759,plain,(
% 0.08/0.62 singleton(member_of(sK7_skl))=sK7_skl),
% 0.08/0.62 inference(forward_demodulation,[status(thm)],[f204,f615])).
% 0.08/0.62 fof(f795,plain,(
% 0.08/0.62 ![X0]: (member(sK8_skl,unordered_pair(sK8_skl,X0)))),
% 0.08/0.62 inference(resolution,[status(thm)],[f208,f203])).
% 0.08/0.62 fof(f845,plain,(
% 0.08/0.62 ![X0]: (~member(X0,sK7_skl)|X0=member_of(sK7_skl))),
% 0.08/0.62 inference(paramodulation,[status(thm)],[f759,f582])).
% 0.08/0.62 fof(f972,plain,(
% 0.08/0.62 member(sK8_skl,singleton(sK8_skl))),
% 0.08/0.62 inference(paramodulation,[status(thm)],[f70,f795])).
% 0.08/0.62 fof(f973,plain,(
% 0.08/0.62 member(sK8_skl,sK7_skl)),
% 0.08/0.62 inference(forward_demodulation,[status(thm)],[f204,f972])).
% 0.13/0.63 fof(f997,plain,(
% 0.13/0.63 sK8_skl=member_of(sK7_skl)),
% 0.13/0.63 inference(resolution,[status(thm)],[f845,f973])).
% 0.13/0.63 fof(f999,plain,(
% 0.13/0.63 $false),
% 0.13/0.63 inference(forward_subsumption_resolution,[status(thm)],[f997,f205])).
% 0.13/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.64 % Elapsed time: 0.062310 seconds
% 0.13/0.64 % CPU time: 0.230756 seconds
% 0.13/0.64 % Total memory used: 88.370 MB
% 0.13/0.64 % Net memory used: 88.090 MB
%------------------------------------------------------------------------------