%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU155+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:21:49 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 : SEU155+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:53:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % 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(f2,axiom,(
% 0.14/0.40 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,conjecture,(
% 0.14/0.40 (! [A,B] :( in(A,B)=> subset(A,union(B)) ) )),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ~((! [A,B] :( in(A,B)=> subset(A,union(B)) ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f5])).
% 0.14/0.40 fof(f10,plain,(
% 0.14/0.40 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f12])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sK1_skl(C,B,A))&in(sK1_skl(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sK2_skl(B,A),B)|(![D]: (~in(sK2_skl(B,A),D)|~in(D,A))))&(in(sK2_skl(B,A),B)|(in(sK2_skl(B,A),sK3_skl(B,A))&in(sK3_skl(B,A),A))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(C,sK2_skl(B,A)),skolemize(D,sK3_skl(B,A))],[f18])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (~X0=union(X1)|in(X2,X0)|~in(X2,X3)|~in(X3,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f26,plain,(
% 0.14/0.40 (?[A,B]: (in(A,B)&~subset(A,union(B))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f27,plain,(
% 0.14/0.40 (in(sK4_skl,sK5_skl)&~subset(sK4_skl,union(sK5_skl)))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f26])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 in(sK4_skl,sK5_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 ~subset(sK4_skl,union(sK5_skl))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 ![X0,X1,X2]: (in(X0,union(X1))|~in(X0,X2)|~in(X2,X1))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f22])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 ![X0,X1,X2]: (subset(X0,X1)|in(sK0_skl(X1,X0),union(X2))|~in(X0,X2))),
% 0.14/0.40 inference(resolution,[status(thm)],[f15,f34])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),union(sK5_skl)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f41,f28])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 subset(sK4_skl,union(sK5_skl))|subset(sK4_skl,union(sK5_skl))),
% 0.14/0.40 inference(resolution,[status(thm)],[f45,f16])).
% 0.14/0.40 fof(f52,definition,(
% 0.14/0.40 sQ0_spl <=> (subset(sK4_skl,union(sK5_skl)))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 subset(sK4_skl,union(sK5_skl))|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f52])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 $false|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f53,f29])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 ~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f56])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f55,f57])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.050236 seconds
% 0.14/0.42 % CPU time: 0.143226 seconds
% 0.14/0.42 % Total memory used: 80.146 MB
% 0.14/0.42 % Net memory used: 79.608 MB
%------------------------------------------------------------------------------