%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU144+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 : n001.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 02:21:47 PM UTC 2026
% Result : Theorem 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU144+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:58:13 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f2,axiom,(
% 0.16/0.49 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f3,axiom,(
% 0.16/0.49 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f5,conjecture,(
% 0.16/0.49 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f6,negated_conjecture,(
% 0.16/0.49 ~((! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) ))),
% 0.16/0.49 inference(negated_conjecture,[status(cth)],[f5])).
% 0.16/0.49 fof(f10,plain,(
% 0.16/0.49 ![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)))))),
% 0.16/0.49 inference(NNF_transformation,[status(thm)],[f2])).
% 0.16/0.49 fof(f11,plain,(
% 0.16/0.49 (![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)))))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f10])).
% 0.16/0.49 fof(f12,plain,(
% 0.16/0.49 (![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))))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f11])).
% 0.16/0.49 fof(f13,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.49 fof(f14,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.49 fof(f17,plain,(
% 0.16/0.49 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/0.49 fof(f18,plain,(
% 0.16/0.49 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/0.49 inference(NNF_transformation,[status(thm)],[f17])).
% 0.16/0.49 fof(f19,plain,(
% 0.16/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f18])).
% 0.16/0.49 fof(f20,plain,(
% 0.16/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f19])).
% 0.16/0.49 fof(f21,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.49 fof(f22,plain,(
% 0.16/0.49 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.49 fof(f23,plain,(
% 0.16/0.49 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.49 fof(f24,plain,(
% 0.16/0.49 (?[A,B]: (subset(singleton(A),B)<~>in(A,B)))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/0.49 fof(f25,plain,(
% 0.16/0.49 ?[A,B]: ((subset(singleton(A),B)|in(A,B))&(~subset(singleton(A),B)|~in(A,B)))),
% 0.16/0.49 inference(NNF_transformation,[status(thm)],[f24])).
% 0.16/0.49 fof(f26,plain,(
% 0.16/0.49 ((subset(singleton(sK2_skl),sK3_skl)|in(sK2_skl,sK3_skl))&(~subset(singleton(sK2_skl),sK3_skl)|~in(sK2_skl,sK3_skl)))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f25])).
% 0.16/0.49 fof(f27,plain,(
% 0.16/0.49 subset(singleton(sK2_skl),sK3_skl)|in(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.49 fof(f28,plain,(
% 0.16/0.49 ~subset(singleton(sK2_skl),sK3_skl)|~in(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.49 fof(f31,plain,(
% 0.16/0.49 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.16/0.49 inference(destructive_equality_resolution,[status(thm)],[f13])).
% 0.16/0.49 fof(f32,plain,(
% 0.16/0.49 ![X0]: (in(X0,singleton(X0)))),
% 0.16/0.49 inference(destructive_equality_resolution,[status(thm)],[f14])).
% 0.16/0.49 fof(f35,plain,(
% 0.16/0.49 ![X0,X1]: (~subset(singleton(X0),X1)|in(X0,X1))),
% 0.16/0.49 inference(resolution,[status(thm)],[f21,f32])).
% 0.16/0.49 fof(f36,plain,(
% 0.16/0.49 in(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f27,f35])).
% 0.16/0.49 fof(f37,plain,(
% 0.16/0.49 ~subset(singleton(sK2_skl),sK3_skl)),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f28,f35])).
% 0.16/0.49 fof(f46,plain,(
% 0.16/0.49 ![X0,X1]: (subset(singleton(X0),X1)|sK1_skl(X1,singleton(X0))=X0)),
% 0.16/0.49 inference(resolution,[status(thm)],[f22,f31])).
% 0.16/0.49 fof(f51,plain,(
% 0.16/0.49 sK1_skl(sK3_skl,singleton(sK2_skl))=sK2_skl),
% 0.16/0.49 inference(resolution,[status(thm)],[f46,f37])).
% 0.16/0.49 fof(f54,plain,(
% 0.16/0.49 subset(singleton(sK2_skl),sK3_skl)|~in(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f51,f23])).
% 0.16/0.49 fof(f57,plain,(
% 0.16/0.49 ~in(sK2_skl,sK3_skl)),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f54,f37])).
% 0.16/0.49 fof(f58,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(backward_subsumption_resolution,[status(thm)],[f36,f57])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.086954 seconds
% 0.24/0.53 % CPU time: 0.192618 seconds
% 0.24/0.53 % Total memory used: 79.993 MB
% 0.24/0.53 % Net memory used: 79.507 MB
%------------------------------------------------------------------------------