%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU160+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:21:50 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU160+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:53:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (! [A,B] : subset(A,A) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,conjecture,(
% 0.14/0.40 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ~((! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f7])).
% 0.14/0.40 fof(f9,axiom,(
% 0.14/0.40 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![A]: subset(A,A)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![X0]: (subset(X0,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 (?[A,B]: (subset(A,singleton(B))<~>(A=empty_set|A=singleton(B))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 ?[A,B]: ((subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(~subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ((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))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f18])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 subset(sK2_skl,singleton(sK3_skl))|sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=empty_set),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=singleton(sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ![A,B]: ((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 (![A,B]: (~subset(A,singleton(B))|(A=empty_set|A=singleton(B))))&(![A,B]: (subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f23])).
% 0.14/0.40 fof(f25,plain,(
% 0.14/0.40 ![X0,X1]: (~subset(X0,singleton(X1))|X0=empty_set|X0=singleton(X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 ![X0,X1]: (subset(X0,singleton(X1))|~X0=empty_set)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f20,f25])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 ![X0]: (subset(empty_set,singleton(X0)))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f26])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 ~subset(sK2_skl,sK2_skl)|~sK2_skl=singleton(sK3_skl)|sK2_skl=empty_set),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f28,f22])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 sK2_skl=empty_set),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f28,f33])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 ~sK2_skl=singleton(sK3_skl)|sK2_skl=empty_set),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f31,f15])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 ~subset(sK2_skl,singleton(sK3_skl))|~sK2_skl=sK2_skl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f32,f21])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 ![X0]: (subset(sK2_skl,singleton(X0)))),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f32,f29])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 ~subset(sK2_skl,singleton(sK3_skl))),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f34])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f39,f36])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.053444 seconds
% 0.14/0.42 % CPU time: 0.149454 seconds
% 0.14/0.42 % Total memory used: 79.826 MB
% 0.14/0.42 % Net memory used: 79.301 MB
%------------------------------------------------------------------------------