%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU160+3 : 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 : n009.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 02:21:51 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU160+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:53:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (! [A,B] : subset(A,A) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,conjecture,(
% 0.11/0.38 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,negated_conjecture,(
% 0.11/0.38 ~((! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f5])).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,plain,(
% 0.11/0.38 ![A]: subset(A,A)),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ![X0]: (subset(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 (?[A,B]: (subset(A,singleton(B))<~>(A=empty_set|A=singleton(B))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ?[A,B]: ((subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(~subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f15])).
% 0.11/0.38 fof(f17,plain,(
% 0.11/0.38 ((subset(sK2_skl,singleton(sK3_skl))|(sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)))&(~subset(sK2_skl,singleton(sK3_skl))|(~sK2_skl=empty_set&~sK2_skl=singleton(sK3_skl))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f16])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 subset(sK2_skl,singleton(sK3_skl))|sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.38 fof(f19,plain,(
% 0.11/0.38 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=empty_set),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.38 fof(f20,plain,(
% 0.11/0.38 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=singleton(sK3_skl)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.38 fof(f21,plain,(
% 0.11/0.38 ![A,B]: ((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 (![A,B]: (~subset(A,singleton(B))|(A=empty_set|A=singleton(B))))&(![A,B]: (subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f21])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 ![X0,X1]: (~subset(X0,singleton(X1))|X0=empty_set|X0=singleton(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.38 fof(f24,plain,(
% 0.11/0.38 ![X0,X1]: (subset(X0,singleton(X1))|~X0=empty_set)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.38 fof(f26,plain,(
% 0.11/0.38 ![X0]: (subset(empty_set,singleton(X0)))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f24])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f18,f23])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ~subset(sK2_skl,sK2_skl)|~sK2_skl=singleton(sK3_skl)|sK2_skl=empty_set),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f30,f20])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ~sK2_skl=singleton(sK3_skl)|sK2_skl=empty_set),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f9])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 ![X0]: (subset(sK2_skl,singleton(X0)))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f42,f26])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=sK2_skl),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f42,f19])).
% 0.11/0.38 fof(f42,plain,(
% 0.11/0.38 sK2_skl=empty_set),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f37,f30])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ~subset(sK2_skl,singleton(sK3_skl))),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f41])).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f43,f40])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.034192 seconds
% 0.14/0.40 % CPU time: 0.063185 seconds
% 0.14/0.40 % Total memory used: 9.979 MB
% 0.14/0.40 % Net memory used: 9.932 MB
%------------------------------------------------------------------------------