%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU203+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 02:21:58 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU203+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
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 06:03:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f26,conjecture,(
% 0.09/0.40 (! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f27,negated_conjecture,(
% 0.09/0.40 ~((! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f26])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f39,plain,(
% 0.09/0.40 ![A]: (~relation(A)|(![B,C]: ((~C=relation_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B)))))))&(C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f38])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sK0_skl(D,C,B,A),D),A)&in(sK0_skl(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|((~in(sK1_skl(C,B,A),C)|(![E]: (~in(ordered_pair(E,sK1_skl(C,B,A)),A)|~in(E,B))))&(in(sK1_skl(C,B,A),C)|(in(ordered_pair(sK2_skl(C,B,A),sK1_skl(C,B,A)),A)&in(sK2_skl(C,B,A),B))))))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(E,sK0_skl(D,C,B,A)),skolemize(D,sK1_skl(C,B,A)),skolemize(E,sK2_skl(C,B,A))],[f40])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(ordered_pair(sK0_skl(X3,X1,X2,X0),X3),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(sK0_skl(X3,X1,X2,X0),X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f49,plain,(
% 0.09/0.40 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f49])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK3_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK4_skl(B,A),B)|(![D]: ~in(ordered_pair(sK4_skl(B,A),D),A)))&(in(sK4_skl(B,A),B)|in(ordered_pair(sK4_skl(B,A),sK5_skl(B,A)),A)))))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(D,sK3_skl(C,B,A)),skolemize(C,sK4_skl(B,A)),skolemize(D,sK5_skl(B,A))],[f50])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 (?[A,B,C]: (relation(C)&(in(A,relation_image(C,B))<~>(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 ?[A,B,C]: (relation(C)&((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f80])).
% 0.09/0.40 fof(f82,plain,(
% 0.09/0.40 ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B)))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f81])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 (relation(sK11_skl)&((in(sK12_skl,relation_image(sK11_skl,sK13_skl))|((in(sK14_skl,relation_dom(sK11_skl))&in(ordered_pair(sK14_skl,sK12_skl),sK11_skl))&in(sK14_skl,sK13_skl)))&(~in(sK12_skl,relation_image(sK11_skl,sK13_skl))|(![D]: ((~in(D,relation_dom(sK11_skl))|~in(ordered_pair(D,sK12_skl),sK11_skl))|~in(D,sK13_skl))))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl),skolemize(D,sK14_skl)],[f82])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 relation(sK11_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.40 fof(f85,plain,(
% 0.09/0.40 in(sK12_skl,relation_image(sK11_skl,sK13_skl))|in(sK14_skl,relation_dom(sK11_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.41 fof(f86,plain,(
% 0.09/0.41 in(sK12_skl,relation_image(sK11_skl,sK13_skl))|in(ordered_pair(sK14_skl,sK12_skl),sK11_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.41 fof(f87,plain,(
% 0.09/0.41 in(sK12_skl,relation_image(sK11_skl,sK13_skl))|in(sK14_skl,sK13_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 ![X0]: (~in(sK12_skl,relation_image(sK11_skl,sK13_skl))|~in(X0,relation_dom(sK11_skl))|~in(ordered_pair(X0,sK12_skl),sK11_skl)|~in(X0,sK13_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.41 fof(f101,definition,(
% 0.09/0.41 sQ0_spl <=> (in(sK12_skl,relation_image(sK11_skl,sK13_skl)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f102,plain,(
% 0.09/0.41 in(sK12_skl,relation_image(sK11_skl,sK13_skl))|~sQ0_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.41 fof(f104,definition,(
% 0.09/0.41 sQ1_spl <=> (in(sK14_skl,relation_dom(sK11_skl)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f107,plain,(
% 0.09/0.41 sQ0_spl|sQ1_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f85,f101,f104])).
% 0.09/0.41 fof(f108,definition,(
% 0.09/0.41 sQ2_spl <=> (in(ordered_pair(sK14_skl,sK12_skl),sK11_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f109,plain,(
% 0.09/0.41 in(ordered_pair(sK14_skl,sK12_skl),sK11_skl)|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f108])).
% 0.09/0.41 fof(f111,plain,(
% 0.09/0.41 sQ0_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f86,f101,f108])).
% 0.09/0.41 fof(f112,definition,(
% 0.09/0.41 sQ3_spl <=> (in(sK14_skl,sK13_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f113,plain,(
% 0.09/0.41 in(sK14_skl,sK13_skl)|~sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f112])).
% 0.09/0.41 fof(f115,plain,(
% 0.09/0.41 sQ0_spl|sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f87,f101,f112])).
% 0.09/0.41 fof(f116,definition,(
% 0.09/0.41 ![X0]: (sQ4_spl <=> (~in(X0,relation_dom(sK11_skl))|~in(ordered_pair(X0,sK12_skl),sK11_skl)|~in(X0,sK13_skl)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f117,plain,(
% 0.09/0.41 ![X0]: (~in(X0,relation_dom(sK11_skl))|~in(ordered_pair(X0,sK12_skl),sK11_skl)|~in(X0,sK13_skl)|~sQ4_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f116])).
% 0.09/0.41 fof(f119,plain,(
% 0.09/0.41 ~sQ0_spl|sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f88,f101,f116])).
% 0.09/0.41 fof(f120,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(ordered_pair(sK0_skl(X1,relation_image(X0,X2),X2,X0),X1),X0))),
% 0.09/0.41 inference(destructive_equality_resolution,[status(thm)],[f42])).
% 0.09/0.41 fof(f121,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sK0_skl(X1,relation_image(X0,X2),X2,X0),X2))),
% 0.09/0.41 inference(destructive_equality_resolution,[status(thm)],[f43])).
% 0.09/0.41 fof(f122,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 0.09/0.41 inference(destructive_equality_resolution,[status(thm)],[f44])).
% 0.09/0.41 fof(f124,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 0.09/0.41 inference(destructive_equality_resolution,[status(thm)],[f53])).
% 0.09/0.41 fof(f129,definition,(
% 0.09/0.41 sQ5_spl <=> (relation(sK11_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f131,plain,(
% 0.09/0.41 ~relation(sK11_skl)|sQ5_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.09/0.41 fof(f149,plain,(
% 0.09/0.41 ~relation(sK11_skl)|in(ordered_pair(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK12_skl),sK11_skl)|~sQ0_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f120,f102])).
% 0.09/0.41 fof(f150,definition,(
% 0.09/0.41 sQ6_spl <=> (in(ordered_pair(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK12_skl),sK11_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f151,plain,(
% 0.09/0.41 in(ordered_pair(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK12_skl),sK11_skl)|~sQ6_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f150])).
% 0.09/0.41 fof(f153,plain,(
% 0.09/0.41 ~sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f149,f129,f150,f101])).
% 0.09/0.41 fof(f154,plain,(
% 0.09/0.41 $false|sQ5_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f131,f84])).
% 0.09/0.41 fof(f155,plain,(
% 0.09/0.41 sQ5_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f154])).
% 0.09/0.41 fof(f156,plain,(
% 0.09/0.41 ~relation(sK11_skl)|in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK13_skl)|~sQ0_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f121,f102])).
% 0.09/0.41 fof(f157,definition,(
% 0.09/0.41 sQ7_spl <=> (in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK13_skl))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f160,plain,(
% 0.09/0.41 ~sQ5_spl|sQ7_spl|~sQ0_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f156,f129,f157,f101])).
% 0.09/0.41 fof(f162,plain,(
% 0.09/0.41 ~in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),relation_dom(sK11_skl))|~in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),sK13_skl)|~sQ6_spl|~sQ4_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f151,f117])).
% 0.09/0.41 fof(f163,plain,(
% 0.09/0.41 ![X0]: (~relation(sK11_skl)|in(sK12_skl,relation_image(sK11_skl,X0))|~in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),X0)|~sQ6_spl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f151,f122])).
% 0.09/0.41 fof(f164,plain,(
% 0.09/0.41 ~relation(sK11_skl)|in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),relation_dom(sK11_skl))|~sQ6_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f151,f124])).
% 0.09/0.41 fof(f166,definition,(
% 0.09/0.41 sQ8_spl <=> (in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),relation_dom(sK11_skl)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f169,plain,(
% 0.09/0.41 ~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f162,f166,f157,f150,f116])).
% 0.09/0.41 fof(f170,definition,(
% 0.09/0.41 ![X0]: (sQ9_spl <=> (in(sK12_skl,relation_image(sK11_skl,X0))|~in(sK0_skl(sK12_skl,relation_image(sK11_skl,sK13_skl),sK13_skl,sK11_skl),X0)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f173,plain,(
% 0.09/0.41 ~sQ5_spl|sQ9_spl|~sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f163,f129,f170,f150])).
% 0.09/0.41 fof(f174,plain,(
% 0.09/0.41 ~sQ5_spl|sQ8_spl|~sQ6_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f164,f129,f166,f150])).
% 0.09/0.41 fof(f220,plain,(
% 0.09/0.41 ![X0]: (~relation(sK11_skl)|in(sK12_skl,relation_image(sK11_skl,X0))|~in(sK14_skl,X0)|~sQ2_spl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f109,f122])).
% 0.09/0.41 fof(f223,definition,(
% 0.09/0.41 ![X0]: (sQ18_spl <=> (in(sK12_skl,relation_image(sK11_skl,X0))|~in(sK14_skl,X0)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f224,plain,(
% 0.09/0.41 ![X0]: (in(sK12_skl,relation_image(sK11_skl,X0))|~in(sK14_skl,X0)|~sQ18_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f223])).
% 0.09/0.41 fof(f226,plain,(
% 0.09/0.41 ~sQ5_spl|sQ18_spl|~sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f220,f129,f223,f108])).
% 0.09/0.41 fof(f272,plain,(
% 0.09/0.41 in(sK12_skl,relation_image(sK11_skl,sK13_skl))|~sQ18_spl|~sQ3_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f224,f113])).
% 0.09/0.41 fof(f274,plain,(
% 0.09/0.41 sQ0_spl|~sQ18_spl|~sQ3_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f272,f101,f223,f112])).
% 0.09/0.41 fof(f275,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f107,f111,f115,f119,f153,f155,f160,f169,f173,f174,f226,f274])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.053004 seconds
% 0.09/0.43 % CPU time: 0.162883 seconds
% 0.09/0.43 % Total memory used: 103.145 MB
% 0.09/0.43 % Net memory used: 103.020 MB
%------------------------------------------------------------------------------