%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET598+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:12:15 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET598+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:28:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.43 % Refutation found
% 0.11/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.43 fof(f1,axiom,(
% 0.11/0.43 (! [B,C] : subset(intersection(B,C),B) )),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f2,axiom,(
% 0.11/0.43 (! [B,C,D] :( ( subset(B,C)& subset(B,D) )=> subset(B,intersection(C,D)) ) )),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f5,axiom,(
% 0.11/0.43 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f6,axiom,(
% 0.11/0.43 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f9,conjecture,(
% 0.11/0.43 (! [B,C,D] :( B = intersection(C,D)<=> ( subset(B,C)& subset(B,D)& (! [E] :( ( subset(E,C)& subset(E,D) )=> subset(E,B) ) )) ) )),
% 0.11/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.43 fof(f10,negated_conjecture,(
% 0.11/0.43 ~((! [B,C,D] :( B = intersection(C,D)<=> ( subset(B,C)& subset(B,D)& (! [E] :( ( subset(E,C)& subset(E,D) )=> subset(E,B) ) )) ) ))),
% 0.11/0.43 inference(negated_conjecture,[status(cth)],[f9])).
% 0.11/0.43 fof(f11,plain,(
% 0.11/0.43 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.43 fof(f12,plain,(
% 0.11/0.43 ![B,C,D]: ((~subset(B,C)|~subset(B,D))|subset(B,intersection(C,D)))),
% 0.11/0.43 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.43 fof(f13,plain,(
% 0.11/0.43 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X0,X2)|subset(X0,intersection(X1,X2)))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.43 fof(f26,plain,(
% 0.11/0.43 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.11/0.43 inference(NNF_transformation,[status(thm)],[f5])).
% 0.11/0.43 fof(f27,plain,(
% 0.11/0.43 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.11/0.43 inference(miniscoping,[status(thm)],[f26])).
% 0.11/0.43 fof(f28,plain,(
% 0.11/0.43 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.43 fof(f30,plain,(
% 0.11/0.43 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.43 fof(f31,plain,(
% 0.11/0.43 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.43 fof(f40,plain,(
% 0.11/0.43 (?[B,C,D]: (B=intersection(C,D)<~>((subset(B,C)&subset(B,D))&(![E]: ((~subset(E,C)|~subset(E,D))|subset(E,B))))))),
% 0.11/0.43 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.11/0.43 fof(f41,plain,(
% 0.11/0.43 ?[B,C,D]: ((B=intersection(C,D)|((subset(B,C)&subset(B,D))&(![E]: ((~subset(E,C)|~subset(E,D))|subset(E,B)))))&(~B=intersection(C,D)|((~subset(B,C)|~subset(B,D))|(?[E]: ((subset(E,C)&subset(E,D))&~subset(E,B))))))),
% 0.11/0.43 inference(NNF_transformation,[status(thm)],[f40])).
% 0.11/0.43 fof(f42,plain,(
% 0.11/0.43 ((sK2_skl=intersection(sK3_skl,sK4_skl)|((subset(sK2_skl,sK3_skl)&subset(sK2_skl,sK4_skl))&(![E]: ((~subset(E,sK3_skl)|~subset(E,sK4_skl))|subset(E,sK2_skl)))))&(~sK2_skl=intersection(sK3_skl,sK4_skl)|((~subset(sK2_skl,sK3_skl)|~subset(sK2_skl,sK4_skl))|((subset(sK5_skl,sK3_skl)&subset(sK5_skl,sK4_skl))&~subset(sK5_skl,sK2_skl)))))),
% 0.11/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl),skolemize(E,sK5_skl)],[f41])).
% 0.11/0.43 fof(f43,plain,(
% 0.11/0.43 sK2_skl=intersection(sK3_skl,sK4_skl)|subset(sK2_skl,sK3_skl)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f44,plain,(
% 0.11/0.43 sK2_skl=intersection(sK3_skl,sK4_skl)|subset(sK2_skl,sK4_skl)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f45,plain,(
% 0.11/0.43 ![X0]: (sK2_skl=intersection(sK3_skl,sK4_skl)|~subset(X0,sK3_skl)|~subset(X0,sK4_skl)|subset(X0,sK2_skl))),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f46,plain,(
% 0.11/0.43 ~sK2_skl=intersection(sK3_skl,sK4_skl)|~subset(sK2_skl,sK3_skl)|~subset(sK2_skl,sK4_skl)|subset(sK5_skl,sK3_skl)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f47,plain,(
% 0.11/0.43 ~sK2_skl=intersection(sK3_skl,sK4_skl)|~subset(sK2_skl,sK3_skl)|~subset(sK2_skl,sK4_skl)|subset(sK5_skl,sK4_skl)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f48,plain,(
% 0.11/0.43 ~sK2_skl=intersection(sK3_skl,sK4_skl)|~subset(sK2_skl,sK3_skl)|~subset(sK2_skl,sK4_skl)|~subset(sK5_skl,sK2_skl)),
% 0.11/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.11/0.43 fof(f49,definition,(
% 0.11/0.43 sQ0_spl <=> (sK2_skl=intersection(sK3_skl,sK4_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f50,plain,(
% 0.11/0.43 sK2_skl=intersection(sK3_skl,sK4_skl)|~sQ0_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f49])).
% 0.11/0.43 fof(f51,plain,(
% 0.11/0.43 ~sK2_skl=intersection(sK3_skl,sK4_skl)|sQ0_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f49])).
% 0.11/0.43 fof(f52,definition,(
% 0.11/0.43 sQ1_spl <=> (subset(sK2_skl,sK3_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f53,plain,(
% 0.11/0.43 subset(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.43 fof(f55,plain,(
% 0.11/0.43 sQ0_spl|sQ1_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f43,f49,f52])).
% 0.11/0.43 fof(f56,definition,(
% 0.11/0.43 sQ2_spl <=> (subset(sK2_skl,sK4_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f57,plain,(
% 0.11/0.43 subset(sK2_skl,sK4_skl)|~sQ2_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f56])).
% 0.11/0.43 fof(f58,plain,(
% 0.11/0.43 ~subset(sK2_skl,sK4_skl)|sQ2_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f56])).
% 0.11/0.43 fof(f59,plain,(
% 0.11/0.43 sQ0_spl|sQ2_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f44,f49,f56])).
% 0.11/0.43 fof(f60,definition,(
% 0.11/0.43 ![X0]: (sQ3_spl <=> (~subset(X0,sK3_skl)|~subset(X0,sK4_skl)|subset(X0,sK2_skl)))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f61,plain,(
% 0.11/0.43 ![X0]: (~subset(X0,sK3_skl)|~subset(X0,sK4_skl)|subset(X0,sK2_skl)|~sQ3_spl)),
% 0.11/0.43 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.43 fof(f63,plain,(
% 0.11/0.43 sQ0_spl|sQ3_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f45,f49,f60])).
% 0.11/0.43 fof(f64,definition,(
% 0.11/0.43 sQ4_spl <=> (subset(sK5_skl,sK3_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f65,plain,(
% 0.11/0.43 subset(sK5_skl,sK3_skl)|~sQ4_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f64])).
% 0.11/0.43 fof(f67,plain,(
% 0.11/0.43 ~sQ0_spl|~sQ1_spl|~sQ2_spl|sQ4_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f46,f49,f52,f56,f64])).
% 0.11/0.43 fof(f68,definition,(
% 0.11/0.43 sQ5_spl <=> (subset(sK5_skl,sK4_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f69,plain,(
% 0.11/0.43 subset(sK5_skl,sK4_skl)|~sQ5_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f68])).
% 0.11/0.43 fof(f70,plain,(
% 0.11/0.43 ~subset(sK5_skl,sK4_skl)|sQ5_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f68])).
% 0.11/0.43 fof(f71,plain,(
% 0.11/0.43 ~sQ0_spl|~sQ1_spl|~sQ2_spl|sQ5_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f47,f49,f52,f56,f68])).
% 0.11/0.43 fof(f72,definition,(
% 0.11/0.43 sQ6_spl <=> (subset(sK5_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f73,plain,(
% 0.11/0.43 subset(sK5_skl,sK2_skl)|~sQ6_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f72])).
% 0.11/0.43 fof(f75,plain,(
% 0.11/0.43 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ6_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f48,f49,f52,f56,f72])).
% 0.11/0.43 fof(f76,plain,(
% 0.11/0.43 ![X0]: (subset(X0,X0))),
% 0.11/0.43 inference(destructive_equality_resolution,[status(thm)],[f28])).
% 0.11/0.43 fof(f78,plain,(
% 0.11/0.43 ~subset(sK5_skl,sK3_skl)|subset(sK5_skl,sK2_skl)|~sQ3_spl|~sQ5_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f61,f69])).
% 0.11/0.43 fof(f80,plain,(
% 0.11/0.43 ~sQ4_spl|sQ6_spl|~sQ3_spl|~sQ5_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f78,f64,f72,f60,f68])).
% 0.11/0.43 fof(f82,plain,(
% 0.11/0.43 ~subset(sK4_skl,sK3_skl)|subset(sK4_skl,sK2_skl)|~sQ3_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f76,f61])).
% 0.11/0.43 fof(f83,definition,(
% 0.11/0.43 sQ7_spl <=> (subset(sK4_skl,sK3_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f84,plain,(
% 0.11/0.43 subset(sK4_skl,sK3_skl)|~sQ7_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.43 fof(f85,plain,(
% 0.11/0.43 ~subset(sK4_skl,sK3_skl)|sQ7_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.43 fof(f86,definition,(
% 0.11/0.43 sQ8_spl <=> (subset(sK4_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f89,plain,(
% 0.11/0.43 ~sQ7_spl|sQ8_spl|~sQ3_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f82,f83,f86,f60])).
% 0.11/0.43 fof(f90,plain,(
% 0.11/0.43 ![X0]: (~subset(intersection(sK4_skl,X0),sK3_skl)|subset(intersection(sK4_skl,X0),sK2_skl)|~sQ3_spl)),
% 0.11/0.43 inference(resolution,[status(thm)],[f11,f61])).
% 0.11/0.43 fof(f91,plain,(
% 0.11/0.43 ~subset(sK2_skl,sK3_skl)|subset(sK2_skl,sK2_skl)|~sQ2_spl|~sQ3_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f57,f61])).
% 0.11/0.43 fof(f92,definition,(
% 0.11/0.43 sQ9_spl <=> (subset(sK2_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f95,plain,(
% 0.11/0.43 ~sQ1_spl|sQ9_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f91,f52,f92,f56,f60])).
% 0.11/0.43 fof(f101,plain,(
% 0.11/0.43 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f31,f11])).
% 0.11/0.43 fof(f107,plain,(
% 0.11/0.43 sK4_skl=sK2_skl|~subset(sK4_skl,sK2_skl)|~sQ2_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f30,f57])).
% 0.11/0.43 fof(f108,plain,(
% 0.11/0.43 sK3_skl=sK2_skl|~subset(sK3_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f30,f53])).
% 0.11/0.43 fof(f109,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,intersection(X1,X0)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f30,f101])).
% 0.11/0.43 fof(f110,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,intersection(X0,X1)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f30,f11])).
% 0.11/0.43 fof(f112,plain,(
% 0.11/0.43 sK4_skl=sK5_skl|~subset(sK4_skl,sK5_skl)|~sQ5_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f30,f69])).
% 0.11/0.43 fof(f116,definition,(
% 0.11/0.43 sQ10_spl <=> (sK4_skl=sK2_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f117,plain,(
% 0.11/0.43 sK4_skl=sK2_skl|~sQ10_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.43 fof(f118,plain,(
% 0.11/0.43 ~sK4_skl=sK2_skl|sQ10_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.43 fof(f119,plain,(
% 0.11/0.43 sQ10_spl|~sQ8_spl|~sQ2_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f107,f116,f86,f56])).
% 0.11/0.43 fof(f120,definition,(
% 0.11/0.43 sQ11_spl <=> (sK3_skl=sK2_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f121,plain,(
% 0.11/0.43 sK3_skl=sK2_skl|~sQ11_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f120])).
% 0.11/0.43 fof(f122,plain,(
% 0.11/0.43 ~sK3_skl=sK2_skl|sQ11_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f120])).
% 0.11/0.43 fof(f123,definition,(
% 0.11/0.43 sQ12_spl <=> (subset(sK3_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f125,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK2_skl)|sQ12_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f123])).
% 0.11/0.43 fof(f126,plain,(
% 0.11/0.43 sQ11_spl|~sQ12_spl|~sQ1_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f108,f120,f123,f52])).
% 0.11/0.43 fof(f128,definition,(
% 0.11/0.43 sQ13_spl <=> (sK4_skl=sK5_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f129,plain,(
% 0.11/0.43 sK4_skl=sK5_skl|~sQ13_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f128])).
% 0.11/0.43 fof(f130,plain,(
% 0.11/0.43 ~sK4_skl=sK5_skl|sQ13_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f128])).
% 0.11/0.43 fof(f131,definition,(
% 0.11/0.43 sQ14_spl <=> (subset(sK4_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f134,plain,(
% 0.11/0.43 sQ13_spl|~sQ14_spl|~sQ5_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f112,f128,f131,f68])).
% 0.11/0.43 fof(f136,plain,(
% 0.11/0.43 subset(sK3_skl,sK4_skl)|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f121,f57])).
% 0.11/0.43 fof(f139,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK3_skl)|~sQ11_spl|~sQ10_spl|sQ7_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f140,f85])).
% 0.11/0.43 fof(f140,plain,(
% 0.11/0.43 sK4_skl=sK3_skl|~sQ11_spl|~sQ10_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f121,f117])).
% 0.11/0.43 fof(f141,plain,(
% 0.11/0.43 $false|~sQ11_spl|~sQ10_spl|sQ7_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f139,f76])).
% 0.11/0.43 fof(f142,plain,(
% 0.11/0.43 ~sQ11_spl|~sQ10_spl|sQ7_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f141])).
% 0.11/0.43 fof(f149,plain,(
% 0.11/0.43 ~subset(sK5_skl,sK5_skl)|~sQ13_spl|sQ5_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f129,f70])).
% 0.11/0.43 fof(f150,plain,(
% 0.11/0.43 $false|~sQ13_spl|sQ5_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f149,f76])).
% 0.11/0.43 fof(f151,plain,(
% 0.11/0.43 ~sQ13_spl|sQ5_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f150])).
% 0.11/0.43 fof(f152,plain,(
% 0.11/0.43 ~sK3_skl=sK4_skl|~sQ10_spl|sQ11_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f117,f122])).
% 0.11/0.43 fof(f154,plain,(
% 0.11/0.43 ~sK4_skl=intersection(sK3_skl,sK4_skl)|~sQ10_spl|sQ0_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f117,f51])).
% 0.11/0.43 fof(f156,plain,(
% 0.11/0.43 subset(sK4_skl,sK3_skl)|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f117,f53])).
% 0.11/0.43 fof(f157,plain,(
% 0.11/0.43 $false|sQ7_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f156,f85])).
% 0.11/0.43 fof(f158,plain,(
% 0.11/0.43 sQ7_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f157])).
% 0.11/0.43 fof(f159,plain,(
% 0.11/0.43 sK3_skl=sK4_skl|~subset(sK3_skl,sK4_skl)|~sQ7_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f84,f30])).
% 0.11/0.43 fof(f160,definition,(
% 0.11/0.43 sQ15_spl <=> (sK3_skl=sK4_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f161,plain,(
% 0.11/0.43 sK3_skl=sK4_skl|~sQ15_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.43 fof(f163,definition,(
% 0.11/0.43 sQ16_spl <=> (subset(sK3_skl,sK4_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f165,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK4_skl)|sQ16_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f163])).
% 0.11/0.43 fof(f166,plain,(
% 0.11/0.43 sQ15_spl|~sQ16_spl|~sQ7_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f159,f160,f163,f83])).
% 0.11/0.43 fof(f167,plain,(
% 0.11/0.43 ~subset(sK2_skl,sK3_skl)|~sQ15_spl|sQ2_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f161,f58])).
% 0.11/0.43 fof(f169,plain,(
% 0.11/0.43 ~sK3_skl=sK5_skl|~sQ15_spl|sQ13_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f161,f130])).
% 0.11/0.43 fof(f170,plain,(
% 0.11/0.43 ~sQ1_spl|~sQ15_spl|sQ2_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f167,f52,f160,f56])).
% 0.11/0.43 fof(f181,plain,(
% 0.11/0.43 subset(sK2_skl,sK4_skl)|~sQ0_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f50,f101])).
% 0.11/0.43 fof(f182,plain,(
% 0.11/0.43 ![X0]: (~subset(X0,sK3_skl)|~subset(X0,sK4_skl)|subset(X0,sK2_skl)|~sQ0_spl)),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f50,f13])).
% 0.11/0.43 fof(f183,plain,(
% 0.11/0.43 subset(sK2_skl,sK3_skl)|~sQ0_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f50,f11])).
% 0.11/0.43 fof(f184,plain,(
% 0.11/0.43 sQ2_spl|~sQ0_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f181,f56,f49])).
% 0.11/0.43 fof(f185,plain,(
% 0.11/0.43 sQ3_spl|~sQ0_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f182,f60,f49])).
% 0.11/0.43 fof(f186,plain,(
% 0.11/0.43 $false|sQ16_spl|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f136,f165])).
% 0.11/0.43 fof(f187,plain,(
% 0.11/0.43 sQ16_spl|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f186])).
% 0.11/0.43 fof(f189,plain,(
% 0.11/0.43 ~sK3_skl=sK2_skl|~sQ15_spl|sQ10_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f161,f118])).
% 0.11/0.43 fof(f190,plain,(
% 0.11/0.43 ~sQ11_spl|~sQ15_spl|sQ10_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f189,f120,f160,f116])).
% 0.11/0.43 fof(f191,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK3_skl)|~sQ11_spl|sQ12_spl),
% 0.11/0.43 inference(backward_demodulation,[status(thm)],[f121,f125])).
% 0.11/0.43 fof(f193,plain,(
% 0.11/0.43 $false|~sQ11_spl|sQ12_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f191,f76])).
% 0.11/0.43 fof(f194,plain,(
% 0.11/0.43 ~sQ11_spl|sQ12_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f193])).
% 0.11/0.43 fof(f195,plain,(
% 0.11/0.43 sQ1_spl|~sQ0_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f183,f52,f49])).
% 0.11/0.43 fof(f224,plain,(
% 0.11/0.43 sK3_skl=sK5_skl|~subset(sK3_skl,sK5_skl)|~sQ4_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f65,f30])).
% 0.11/0.43 fof(f225,definition,(
% 0.11/0.43 sQ17_spl <=> (sK3_skl=sK5_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f226,plain,(
% 0.11/0.43 sK3_skl=sK5_skl|~sQ17_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f225])).
% 0.11/0.43 fof(f228,definition,(
% 0.11/0.43 sQ18_spl <=> (subset(sK3_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f231,plain,(
% 0.11/0.43 sQ17_spl|~sQ18_spl|~sQ4_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f224,f225,f228,f64])).
% 0.11/0.43 fof(f232,plain,(
% 0.11/0.43 $false|~sQ15_spl|sQ13_spl|~sQ17_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f226,f169])).
% 0.11/0.43 fof(f233,plain,(
% 0.11/0.43 ~sQ15_spl|sQ13_spl|~sQ17_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f232])).
% 0.11/0.43 fof(f242,plain,(
% 0.11/0.43 subset(sK5_skl,sK3_skl)|~sQ13_spl|~sQ7_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f129,f84])).
% 0.11/0.43 fof(f259,plain,(
% 0.11/0.43 ~sK3_skl=intersection(sK3_skl,sK4_skl)|~sQ11_spl|sQ0_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f121,f51])).
% 0.11/0.43 fof(f264,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,X1)|~subset(X0,X0))),
% 0.11/0.43 inference(resolution,[status(thm)],[f109,f13])).
% 0.11/0.43 fof(f267,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X1,X0)|~subset(X0,X1))),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f264,f76])).
% 0.11/0.43 fof(f268,plain,(
% 0.11/0.43 sK5_skl=intersection(sK3_skl,sK5_skl)|~sQ4_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f267,f65])).
% 0.11/0.43 fof(f269,plain,(
% 0.11/0.43 sK3_skl=intersection(sK4_skl,sK3_skl)|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f267,f136])).
% 0.11/0.43 fof(f273,plain,(
% 0.11/0.43 ![X0]: (X0=intersection(X0,X0))),
% 0.11/0.43 inference(resolution,[status(thm)],[f267,f76])).
% 0.11/0.43 fof(f282,plain,(
% 0.11/0.43 sK5_skl=intersection(sK3_skl,sK5_skl)|~subset(sK5_skl,sK5_skl)|~sQ4_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f268,f109])).
% 0.11/0.43 fof(f290,definition,(
% 0.11/0.43 sQ19_spl <=> (sK5_skl=intersection(sK3_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f291,plain,(
% 0.11/0.43 sK5_skl=intersection(sK3_skl,sK5_skl)|~sQ19_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f290])).
% 0.11/0.43 fof(f293,definition,(
% 0.11/0.43 sQ20_spl <=> (subset(sK5_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f295,plain,(
% 0.11/0.43 ~subset(sK5_skl,sK5_skl)|sQ20_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f293])).
% 0.11/0.43 fof(f296,plain,(
% 0.11/0.43 sQ19_spl|~sQ20_spl|~sQ4_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f282,f290,f293,f64])).
% 0.11/0.43 fof(f297,plain,(
% 0.11/0.43 $false|sQ20_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f295,f76])).
% 0.11/0.43 fof(f298,plain,(
% 0.11/0.43 sQ20_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f297])).
% 0.11/0.43 fof(f299,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,X0)|~subset(X0,X1))),
% 0.11/0.43 inference(resolution,[status(thm)],[f110,f13])).
% 0.11/0.43 fof(f303,plain,(
% 0.11/0.43 ![X0,X1]: (X0=intersection(X0,X1)|~subset(X0,X1))),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f299,f76])).
% 0.11/0.43 fof(f304,plain,(
% 0.11/0.43 sK3_skl=intersection(sK3_skl,sK4_skl)|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f31,f269])).
% 0.11/0.43 fof(f315,plain,(
% 0.11/0.43 $false|sQ0_spl|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f304,f259])).
% 0.11/0.43 fof(f316,plain,(
% 0.11/0.43 sQ0_spl|~sQ11_spl|~sQ2_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f315])).
% 0.11/0.43 fof(f318,plain,(
% 0.11/0.43 ~sQ15_spl|~sQ10_spl|sQ11_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f152,f160,f116,f120])).
% 0.11/0.43 fof(f319,plain,(
% 0.11/0.43 sQ4_spl|~sQ13_spl|~sQ7_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f242,f64,f128,f83])).
% 0.11/0.43 fof(f320,plain,(
% 0.11/0.43 sK2_skl=intersection(sK3_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f53,f267])).
% 0.11/0.43 fof(f323,plain,(
% 0.11/0.43 sK2_skl=intersection(sK4_skl,sK2_skl)|~sQ2_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f57,f267])).
% 0.11/0.43 fof(f326,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK3_skl)|~subset(sK3_skl,sK4_skl)|~sQ3_spl|sQ12_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f61,f125])).
% 0.11/0.43 fof(f329,definition,(
% 0.11/0.43 sQ21_spl <=> (subset(sK3_skl,sK3_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f331,plain,(
% 0.11/0.43 ~subset(sK3_skl,sK3_skl)|sQ21_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f329])).
% 0.11/0.43 fof(f332,plain,(
% 0.11/0.43 ~sQ21_spl|~sQ16_spl|~sQ3_spl|sQ12_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f326,f329,f163,f60,f123])).
% 0.11/0.43 fof(f333,plain,(
% 0.11/0.43 $false|sQ21_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f331,f76])).
% 0.11/0.43 fof(f334,plain,(
% 0.11/0.43 sQ21_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f333])).
% 0.11/0.43 fof(f344,plain,(
% 0.11/0.43 sK2_skl=sK5_skl|~subset(sK2_skl,sK5_skl)|~sQ6_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f73,f30])).
% 0.11/0.43 fof(f345,definition,(
% 0.11/0.43 sQ23_spl <=> (sK2_skl=sK5_skl)),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f346,plain,(
% 0.11/0.43 sK2_skl=sK5_skl|~sQ23_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f345])).
% 0.11/0.43 fof(f348,definition,(
% 0.11/0.43 sQ24_spl <=> (subset(sK2_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f350,plain,(
% 0.11/0.43 ~subset(sK2_skl,sK5_skl)|sQ24_spl),
% 0.11/0.43 inference(component_clause,[status(thm)],[f348])).
% 0.11/0.43 fof(f351,plain,(
% 0.11/0.43 sQ23_spl|~sQ24_spl|~sQ6_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f344,f345,f348,f72])).
% 0.11/0.43 fof(f361,plain,(
% 0.11/0.43 ~subset(sK5_skl,sK5_skl)|~sQ23_spl|sQ24_spl),
% 0.11/0.43 inference(forward_demodulation,[status(thm)],[f346,f350])).
% 0.11/0.43 fof(f362,plain,(
% 0.11/0.43 $false|~sQ23_spl|sQ24_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f361,f76])).
% 0.11/0.43 fof(f363,plain,(
% 0.11/0.43 ~sQ23_spl|sQ24_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f362])).
% 0.11/0.43 fof(f365,plain,(
% 0.11/0.43 sK4_skl=intersection(sK3_skl,sK4_skl)|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f156,f267])).
% 0.11/0.43 fof(f367,plain,(
% 0.11/0.43 $false|sQ0_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f365,f154])).
% 0.11/0.43 fof(f368,plain,(
% 0.11/0.43 sQ0_spl|~sQ10_spl|~sQ1_spl),
% 0.11/0.43 inference(contradiction_clause,[status(thm)],[f367])).
% 0.11/0.43 fof(f398,plain,(
% 0.11/0.43 sK3_skl=intersection(sK3_skl,sK5_skl)|~subset(sK3_skl,sK5_skl)|~sQ19_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f291,f110])).
% 0.11/0.43 fof(f406,plain,(
% 0.11/0.43 subset(sK5_skl,sK3_skl)|~sQ19_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f291,f11])).
% 0.11/0.43 fof(f407,definition,(
% 0.11/0.43 sQ25_spl <=> (sK3_skl=intersection(sK3_skl,sK5_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f410,plain,(
% 0.11/0.43 sQ25_spl|~sQ18_spl|~sQ19_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f398,f407,f228,f290])).
% 0.11/0.43 fof(f412,plain,(
% 0.11/0.43 sQ4_spl|~sQ19_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f406,f64,f290])).
% 0.11/0.43 fof(f413,plain,(
% 0.11/0.43 sK3_skl=intersection(sK3_skl,sK2_skl)|~subset(sK3_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f320,f110])).
% 0.11/0.43 fof(f414,plain,(
% 0.11/0.43 sK2_skl=intersection(sK3_skl,sK2_skl)|~subset(sK2_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f320,f109])).
% 0.11/0.43 fof(f420,definition,(
% 0.11/0.43 sQ26_spl <=> (sK3_skl=intersection(sK3_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f423,plain,(
% 0.11/0.43 sQ26_spl|~sQ12_spl|~sQ1_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f413,f420,f123,f52])).
% 0.11/0.43 fof(f424,definition,(
% 0.11/0.43 sQ27_spl <=> (sK2_skl=intersection(sK3_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f427,plain,(
% 0.11/0.43 sQ27_spl|~sQ9_spl|~sQ1_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f414,f424,f92,f52])).
% 0.11/0.43 fof(f428,plain,(
% 0.11/0.43 subset(intersection(sK4_skl,sK3_skl),sK2_skl)|~sQ3_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f90,f101])).
% 0.11/0.43 fof(f429,plain,(
% 0.11/0.43 ~subset(sK4_skl,sK3_skl)|subset(intersection(sK4_skl,sK4_skl),sK2_skl)|~sQ3_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f273,f90])).
% 0.11/0.43 fof(f432,definition,(
% 0.11/0.43 sQ28_spl <=> (subset(intersection(sK4_skl,sK4_skl),sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f435,plain,(
% 0.11/0.43 ~sQ7_spl|sQ28_spl|~sQ3_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f429,f83,f432,f60])).
% 0.11/0.43 fof(f437,plain,(
% 0.11/0.43 sK4_skl=intersection(sK4_skl,sK2_skl)|~subset(sK4_skl,sK2_skl)|~sQ2_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f323,f110])).
% 0.11/0.43 fof(f448,definition,(
% 0.11/0.43 sQ30_spl <=> (sK4_skl=intersection(sK4_skl,sK2_skl))),
% 0.11/0.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.11/0.43 fof(f451,plain,(
% 0.11/0.43 sQ30_spl|~sQ8_spl|~sQ2_spl),
% 0.11/0.43 inference(split_clause,[status(thm)],[f437,f448,f86,f56])).
% 0.11/0.43 fof(f487,plain,(
% 0.11/0.43 sK2_skl=intersection(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f303,f53])).
% 0.11/0.43 fof(f488,plain,(
% 0.11/0.43 sK2_skl=intersection(sK2_skl,sK4_skl)|~sQ2_spl),
% 0.11/0.43 inference(resolution,[status(thm)],[f303,f57])).
% 0.11/0.43 fof(f498,plain,(
% 0.11/0.43 sK2_skl=intersection(sK2_skl,sK3_skl)|~subset(sK2_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f487,f110])).
% 0.11/0.43 fof(f499,plain,(
% 0.11/0.43 sK3_skl=intersection(sK2_skl,sK3_skl)|~subset(sK3_skl,sK2_skl)|~sQ1_spl),
% 0.11/0.43 inference(paramodulation,[status(thm)],[f487,f109])).
% 0.11/0.43 fof(f509,definition,(
% 0.11/0.43 sQ32_spl <=> (sK2_skl=intersection(sK2_skl,sK3_skl))),
% 0.11/0.44 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.11/0.44 fof(f512,plain,(
% 0.11/0.44 sQ32_spl|~sQ9_spl|~sQ1_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f498,f509,f92,f52])).
% 0.11/0.44 fof(f513,definition,(
% 0.11/0.44 sQ33_spl <=> (sK3_skl=intersection(sK2_skl,sK3_skl))),
% 0.11/0.44 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.11/0.44 fof(f516,plain,(
% 0.11/0.44 sQ33_spl|~sQ12_spl|~sQ1_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f499,f513,f123,f52])).
% 0.11/0.44 fof(f522,plain,(
% 0.11/0.44 sK4_skl=intersection(sK2_skl,sK4_skl)|~subset(sK4_skl,sK2_skl)|~sQ2_spl),
% 0.11/0.44 inference(paramodulation,[status(thm)],[f488,f109])).
% 0.11/0.44 fof(f536,definition,(
% 0.11/0.44 sQ35_spl <=> (sK4_skl=intersection(sK2_skl,sK4_skl))),
% 0.11/0.44 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.11/0.44 fof(f539,plain,(
% 0.11/0.44 sQ35_spl|~sQ8_spl|~sQ2_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f522,f536,f86,f56])).
% 0.11/0.44 fof(f558,plain,(
% 0.11/0.44 sK2_skl=intersection(sK4_skl,sK3_skl)|~subset(sK2_skl,intersection(sK4_skl,sK3_skl))|~sQ3_spl),
% 0.11/0.44 inference(resolution,[status(thm)],[f428,f30])).
% 0.11/0.44 fof(f561,definition,(
% 0.11/0.44 sQ38_spl <=> (sK2_skl=intersection(sK4_skl,sK3_skl))),
% 0.11/0.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.11/0.44 fof(f562,plain,(
% 0.11/0.44 sK2_skl=intersection(sK4_skl,sK3_skl)|~sQ38_spl),
% 0.11/0.44 inference(component_clause,[status(thm)],[f561])).
% 0.11/0.44 fof(f564,definition,(
% 0.11/0.44 sQ39_spl <=> (subset(sK2_skl,intersection(sK4_skl,sK3_skl)))),
% 0.11/0.44 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.11/0.44 fof(f566,plain,(
% 0.11/0.44 ~subset(sK2_skl,intersection(sK4_skl,sK3_skl))|sQ39_spl),
% 0.11/0.44 inference(component_clause,[status(thm)],[f564])).
% 0.11/0.44 fof(f567,plain,(
% 0.11/0.44 sQ38_spl|~sQ39_spl|~sQ3_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f558,f561,f564,f60])).
% 0.11/0.44 fof(f569,plain,(
% 0.11/0.44 sK2_skl=intersection(sK3_skl,sK4_skl)|~sQ38_spl),
% 0.11/0.44 inference(paramodulation,[status(thm)],[f31,f562])).
% 0.11/0.44 fof(f583,plain,(
% 0.11/0.44 sQ0_spl|~sQ38_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f569,f49,f561])).
% 0.11/0.44 fof(f645,plain,(
% 0.11/0.44 ~subset(sK2_skl,sK4_skl)|~subset(sK2_skl,sK3_skl)|sQ39_spl),
% 0.11/0.44 inference(resolution,[status(thm)],[f566,f13])).
% 0.11/0.44 fof(f648,plain,(
% 0.11/0.44 ~sQ2_spl|~sQ1_spl|sQ39_spl),
% 0.11/0.44 inference(split_clause,[status(thm)],[f645,f56,f52,f564])).
% 0.11/0.44 fof(f649,plain,(
% 0.11/0.44 $false),
% 0.11/0.44 inference(sat_refutation,[status(thm)],[f55,f59,f63,f67,f71,f75,f80,f89,f95,f119,f126,f134,f142,f151,f158,f166,f170,f184,f185,f187,f190,f194,f195,f231,f233,f296,f298,f316,f318,f319,f332,f334,f351,f363,f368,f410,f412,f423,f427,f435,f451,f512,f516,f539,f567,f583,f648])).
% 0.11/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.083724 seconds
% 0.11/0.45 % CPU time: 0.421167 seconds
% 0.11/0.45 % Total memory used: 107.874 MB
% 0.11/0.45 % Net memory used: 107.038 MB
%------------------------------------------------------------------------------