%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET642+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 : n019.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 02:12:23 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET642+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
% 0.09/0.36 % Computer : n019.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:31:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> subset(B,cross_product(C,D)) ) ) )) )) )) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> ( subset(B,cross_product(C,D))=> ilf_type(B,relation_type(C,D)) ) ) )) )) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f19,axiom,(
% 0.09/0.41 (! [B] : ilf_type(B,set_type) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f20,conjecture,(
% 0.09/0.41 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> ilf_type(B,relation_type(C,D)) ) ) )) )) )) )),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,negated_conjecture,(
% 0.09/0.41 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> ilf_type(B,relation_type(C,D)) ) ) )) )) )) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f20])).
% 0.09/0.41 fof(f22,plain,(
% 0.09/0.41 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(C,D))|(~subset(B,E)|subset(B,cross_product(C,D))))))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f23,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))|~subset(X0,X3)|subset(X0,cross_product(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f24,plain,(
% 0.09/0.41 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(~subset(B,cross_product(C,D))|ilf_type(B,relation_type(C,D))))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f25,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,cross_product(X1,X2))|ilf_type(X0,relation_type(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 ![X0]: (ilf_type(X0,set_type))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f89,plain,(
% 0.09/0.41 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(C,D))&(subset(B,E)&~ilf_type(B,relation_type(C,D)))))))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.09/0.41 fof(f90,plain,(
% 0.09/0.41 (ilf_type(sK9_skl,set_type)&(ilf_type(sK10_skl,set_type)&(ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))&(subset(sK9_skl,sK12_skl)&~ilf_type(sK9_skl,relation_type(sK10_skl,sK11_skl)))))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(D,sK11_skl),skolemize(E,sK12_skl)],[f89])).
% 0.09/0.41 fof(f94,plain,(
% 0.09/0.41 ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.09/0.41 fof(f95,plain,(
% 0.09/0.41 subset(sK9_skl,sK12_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.09/0.41 fof(f96,plain,(
% 0.09/0.41 ~ilf_type(sK9_skl,relation_type(sK10_skl,sK11_skl))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.09/0.41 fof(f128,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~subset(X3,X2)|subset(X3,cross_product(X0,X1)))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f23,f88])).
% 0.09/0.41 fof(f129,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,cross_product(X0,X1))|ilf_type(X2,relation_type(X0,X1)))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f25,f88])).
% 0.09/0.41 fof(f130,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,cross_product(X0,X2))|ilf_type(X1,relation_type(X0,X2)))),
% 0.09/0.41 inference(resolution,[status(thm)],[f129,f88])).
% 0.09/0.41 fof(f131,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~subset(X0,cross_product(X1,X2))|ilf_type(X0,relation_type(X1,X2)))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f130,f88])).
% 0.09/0.41 fof(f134,plain,(
% 0.09/0.41 ~subset(sK9_skl,cross_product(sK10_skl,sK11_skl))),
% 0.09/0.41 inference(resolution,[status(thm)],[f131,f96])).
% 0.09/0.41 fof(f135,plain,(
% 0.09/0.41 ![X0]: (~ilf_type(sK10_skl,set_type)|~ilf_type(sK11_skl,set_type)|~ilf_type(X0,relation_type(sK10_skl,sK11_skl))|~subset(sK9_skl,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f134,f128])).
% 0.09/0.41 fof(f136,definition,(
% 0.09/0.41 sQ0_spl <=> (ilf_type(sK10_skl,set_type))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f138,plain,(
% 0.09/0.41 ~ilf_type(sK10_skl,set_type)|sQ0_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.41 fof(f139,definition,(
% 0.09/0.41 sQ1_spl <=> (ilf_type(sK11_skl,set_type))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f141,plain,(
% 0.09/0.41 ~ilf_type(sK11_skl,set_type)|sQ1_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.09/0.41 fof(f142,definition,(
% 0.09/0.41 ![X0]: (sQ2_spl <=> (~ilf_type(X0,relation_type(sK10_skl,sK11_skl))|~subset(sK9_skl,X0)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f143,plain,(
% 0.09/0.41 ![X0]: (~ilf_type(X0,relation_type(sK10_skl,sK11_skl))|~subset(sK9_skl,X0)|~sQ2_spl)),
% 0.09/0.41 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.41 fof(f145,plain,(
% 0.09/0.41 ~sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f135,f136,f139,f142])).
% 0.09/0.41 fof(f146,plain,(
% 0.09/0.41 ~subset(sK9_skl,sK12_skl)|~sQ2_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f143,f94])).
% 0.09/0.41 fof(f148,plain,(
% 0.09/0.41 $false|~sQ2_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f146,f95])).
% 0.09/0.41 fof(f149,plain,(
% 0.09/0.41 ~sQ2_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f148])).
% 0.09/0.41 fof(f150,plain,(
% 0.09/0.41 $false|sQ0_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f138,f88])).
% 0.09/0.41 fof(f151,plain,(
% 0.09/0.41 sQ0_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f150])).
% 0.09/0.41 fof(f152,plain,(
% 0.09/0.41 $false|sQ1_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f141,f88])).
% 0.09/0.41 fof(f153,plain,(
% 0.09/0.41 sQ1_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f152])).
% 0.09/0.41 fof(f154,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f145,f149,f151,f153])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.072569 seconds
% 0.09/0.44 % CPU time: 0.219951 seconds
% 0.09/0.44 % Total memory used: 83.104 MB
% 0.09/0.44 % Net memory used: 82.856 MB
%------------------------------------------------------------------------------