%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET923+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:12:52 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET923+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 05:49:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,conjecture,(
% 0.09/0.39 (! [A,B] :~ ( set_difference(A,singleton(B)) = empty_set& A != empty_set& A != singleton(B) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,negated_conjecture,(
% 0.09/0.39 ~((! [A,B] :~ ( set_difference(A,singleton(B)) = empty_set& A != empty_set& A != singleton(B) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.09/0.39 fof(f10,plain,(
% 0.09/0.39 ![A,B]: ((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f11,plain,(
% 0.09/0.39 (![A,B]: (~subset(A,singleton(B))|(A=empty_set|A=singleton(B))))&(![A,B]: (subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.39 fof(f12,plain,(
% 0.09/0.39 ![X0,X1]: (~subset(X0,singleton(X1))|X0=empty_set|X0=singleton(X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 (?[A,B]: ((set_difference(A,singleton(B))=empty_set&~A=empty_set)&~A=singleton(B)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ((set_difference(sK2_skl,singleton(sK3_skl))=empty_set&~sK2_skl=empty_set)&~sK2_skl=singleton(sK3_skl))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f25])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 set_difference(sK2_skl,singleton(sK3_skl))=empty_set),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ~sK2_skl=empty_set),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 ~sK2_skl=singleton(sK3_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1]: (X0=empty_set|X0=singleton(X1)|~set_difference(X0,singleton(X1))=empty_set)),
% 0.09/0.39 inference(resolution,[status(thm)],[f12,f23])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)),
% 0.09/0.39 inference(resolution,[status(thm)],[f33,f27])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 sK2_skl=singleton(sK3_skl)),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f34,f28])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f36,f29])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.049227 seconds
% 0.09/0.42 % CPU time: 0.141984 seconds
% 0.09/0.42 % Total memory used: 101.233 MB
% 0.09/0.42 % Net memory used: 100.771 MB
%------------------------------------------------------------------------------