%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU148+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 : 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 02:21:48 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU148+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 05:57:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 (! [A] : singleton(A) != empty_set )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (! [A,B] :( subset(A,singleton(B))<=> ( A = empty_set| A = singleton(B) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,conjecture,(
% 0.11/0.40 (! [A,B] :( subset(singleton(A),singleton(B))=> A = B ) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 ~((! [A,B] :( subset(singleton(A),singleton(B))=> A = B ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f9])).
% 0.11/0.40 fof(f13,plain,(
% 0.11/0.40 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f14,plain,(
% 0.11/0.40 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.11/0.40 fof(f15,plain,(
% 0.11/0.40 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f14])).
% 0.11/0.40 fof(f16,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f17,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f21,plain,(
% 0.11/0.40 ![X0]: (~singleton(X0)=empty_set)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f22,plain,(
% 0.11/0.40 ![A,B]: ((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&(subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.11/0.40 fof(f23,plain,(
% 0.11/0.40 (![A,B]: (~subset(A,singleton(B))|(A=empty_set|A=singleton(B))))&(![A,B]: (subset(A,singleton(B))|(~A=empty_set&~A=singleton(B))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.11/0.40 fof(f24,plain,(
% 0.11/0.40 ![X0,X1]: (~subset(X0,singleton(X1))|X0=empty_set|X0=singleton(X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.40 fof(f33,plain,(
% 0.11/0.40 (?[A,B]: (subset(singleton(A),singleton(B))&~A=B))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.11/0.40 fof(f34,plain,(
% 0.11/0.40 (subset(singleton(sK3_skl),singleton(sK4_skl))&~sK3_skl=sK4_skl)),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f33])).
% 0.11/0.40 fof(f35,plain,(
% 0.11/0.40 subset(singleton(sK3_skl),singleton(sK4_skl))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.40 fof(f36,plain,(
% 0.11/0.40 ~sK3_skl=sK4_skl),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.11/0.40 fof(f38,plain,(
% 0.11/0.40 ![X0]: (in(X0,singleton(X0)))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f17])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 singleton(sK3_skl)=empty_set|singleton(sK3_skl)=singleton(sK4_skl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f24,f35])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 singleton(sK3_skl)=singleton(sK4_skl)),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f44,f21])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 ![X0]: (~in(X0,singleton(sK4_skl))|X0=sK3_skl)),
% 0.11/0.40 inference(paramodulation,[status(thm)],[f47,f37])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 sK4_skl=sK3_skl),
% 0.11/0.40 inference(resolution,[status(thm)],[f49,f38])).
% 0.11/0.40 fof(f56,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f55,f36])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.030978 seconds
% 0.11/0.42 % CPU time: 0.074648 seconds
% 0.11/0.42 % Total memory used: 10.048 MB
% 0.11/0.42 % Net memory used: 10.037 MB
%------------------------------------------------------------------------------