%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:12:24 PM UTC 2026
% Result : Theorem 20.68s 3.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:33:52 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 20.68/3.08 % Refutation found
% 20.68/3.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.68/3.08 % SZS output start CNFRefutation for theBenchmark
% 20.68/3.08 fof(f1,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> ( ( subset(B,C)& subset(D,E) )=> subset(union(B,D),union(C,E)) ) ) )) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f2,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,binary_relation_type)=> field_of(B) = union(domain_of(B),range_of(B)) ) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f7,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> ilf_type(D,relation_type(B,C)) ))& (! [E] :( ilf_type(E,relation_type(B,C))=> ilf_type(E,subset_type(cross_product(B,C))) ) )) ) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f9,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( subset(B,C)<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f14,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f16,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,subset_type(B))<=> ilf_type(C,member_type(power_set(B))) ) ) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f21,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(B,power_set(C))<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f22,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f23,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f27,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> relation_like(D) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f33,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> domain(B,C,D) = domain_of(D) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f34,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(domain(B,C,D),subset_type(B)) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f35,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> range(B,C,D) = range_of(D) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f36,axiom,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(range(B,C,D),subset_type(C)) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f37,axiom,(
% 20.68/3.08 (! [B] : ilf_type(B,set_type) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f38,conjecture,(
% 20.68/3.08 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> subset(field_of(D),union(B,C)) ) )) )) )),
% 20.68/3.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 20.68/3.08 fof(f39,negated_conjecture,(
% 20.68/3.08 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> subset(field_of(D),union(B,C)) ) )) )) ))),
% 20.68/3.08 inference(negated_conjecture,[status(cth)],[f38])).
% 20.68/3.08 fof(f40,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|((~subset(B,C)|~subset(D,E))|subset(union(B,D),union(C,E))))))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 20.68/3.08 fof(f41,plain,(
% 20.68/3.08 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(union(X0,X2),union(X1,X3)))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f40])).
% 20.68/3.08 fof(f42,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,binary_relation_type)|field_of(B)=union(domain_of(B),range_of(B)))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 20.68/3.08 fof(f43,plain,(
% 20.68/3.08 ![X0]: (~ilf_type(X0,binary_relation_type)|field_of(X0)=union(domain_of(X0),range_of(X0)))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f42])).
% 20.68/3.08 fof(f55,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C))))&(![E]: (~ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C)))))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 20.68/3.08 fof(f57,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(X2,subset_type(cross_product(X0,X1))))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f55])).
% 20.68/3.08 fof(f61,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(subset(B,C)<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 20.68/3.08 fof(f62,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 20.68/3.08 inference(NNF_transformation,[status(thm)],[f61])).
% 20.68/3.08 fof(f63,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(ilf_type(sK1_skl(C,B),set_type)&(member(sK1_skl(C,B),B)&~member(sK1_skl(C,B),C))))))))),
% 20.68/3.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f62])).
% 20.68/3.08 fof(f66,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f63])).
% 20.68/3.08 fof(f67,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f63])).
% 20.68/3.08 fof(f76,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 20.68/3.08 fof(f77,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|((~ilf_type(B,binary_relation_type)|(relation_like(B)&ilf_type(B,set_type)))&(ilf_type(B,binary_relation_type)|(~relation_like(B)|~ilf_type(B,set_type)))))),
% 20.68/3.08 inference(NNF_transformation,[status(thm)],[f76])).
% 20.68/3.08 fof(f80,plain,(
% 20.68/3.08 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f77])).
% 20.68/3.08 fof(f83,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,subset_type(B))<=>ilf_type(C,member_type(power_set(B)))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 20.68/3.08 fof(f84,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))))&(ilf_type(C,subset_type(B))|~ilf_type(C,member_type(power_set(B))))))))),
% 20.68/3.08 inference(NNF_transformation,[status(thm)],[f83])).
% 20.68/3.08 fof(f85,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f84])).
% 20.68/3.08 fof(f96,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(member(B,power_set(C))<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 20.68/3.08 fof(f97,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 20.68/3.08 inference(NNF_transformation,[status(thm)],[f96])).
% 20.68/3.08 fof(f98,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(ilf_type(sK4_skl(C,B),set_type)&(member(sK4_skl(C,B),B)&~member(sK4_skl(C,B),C))))))))),
% 20.68/3.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(D,sK4_skl(C,B))],[f97])).
% 20.68/3.08 fof(f99,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f98])).
% 20.68/3.08 fof(f103,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 20.68/3.08 fof(f104,plain,(
% 20.68/3.08 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f103])).
% 20.68/3.08 fof(f106,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 20.68/3.08 fof(f107,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|((~ilf_type(B,member_type(C))|member(B,C))&(ilf_type(B,member_type(C))|~member(B,C))))))),
% 20.68/3.08 inference(NNF_transformation,[status(thm)],[f106])).
% 20.68/3.08 fof(f108,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f107])).
% 20.68/3.08 fof(f130,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 20.68/3.08 fof(f131,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|relation_like(X2))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f130])).
% 20.68/3.08 fof(f146,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 20.68/3.08 fof(f147,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|domain(X0,X1,X2)=domain_of(X2))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f146])).
% 20.68/3.08 fof(f148,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 20.68/3.08 fof(f149,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(domain(X0,X1,X2),subset_type(X0)))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f148])).
% 20.68/3.08 fof(f150,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 20.68/3.08 fof(f151,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|range(X0,X1,X2)=range_of(X2))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f150])).
% 20.68/3.08 fof(f152,plain,(
% 20.68/3.08 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 20.68/3.08 fof(f153,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(range(X0,X1,X2),subset_type(X1)))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f152])).
% 20.68/3.08 fof(f154,plain,(
% 20.68/3.08 ![X0]: (ilf_type(X0,set_type))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f37])).
% 20.68/3.08 fof(f155,plain,(
% 20.68/3.08 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(B,C))&~subset(field_of(D),union(B,C))))))))),
% 20.68/3.08 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 20.68/3.08 fof(f156,plain,(
% 20.68/3.08 (ilf_type(sK11_skl,set_type)&(ilf_type(sK12_skl,set_type)&(ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))&~subset(field_of(sK13_skl),union(sK11_skl,sK12_skl)))))),
% 20.68/3.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl)],[f155])).
% 20.68/3.08 fof(f159,plain,(
% 20.68/3.08 ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f156])).
% 20.68/3.08 fof(f160,plain,(
% 20.68/3.08 ~subset(field_of(sK13_skl),union(sK11_skl,sK12_skl))),
% 20.68/3.08 inference(cnf_transformation,[status(thm)],[f156])).
% 20.68/3.08 fof(f161,plain,(
% 20.68/3.08 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 20.68/3.08 inference(duplicate_literals_removal,[status(thm)],[f80])).
% 20.68/3.08 fof(f163,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(range(X0,X2,X1),subset_type(X2)))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f153,f154])).
% 20.68/3.08 fof(f164,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|range(X0,X2,X1)=range_of(X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f151,f154])).
% 20.68/3.08 fof(f165,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(domain(X0,X2,X1),subset_type(X0)))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f149,f154])).
% 20.68/3.08 fof(f166,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|domain(X0,X2,X1)=domain_of(X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f147,f154])).
% 20.68/3.08 fof(f172,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|relation_like(X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f131,f154])).
% 20.68/3.08 fof(f179,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f108,f154])).
% 20.68/3.08 fof(f180,plain,(
% 20.68/3.08 ![X0]: (~empty(power_set(X0)))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f104,f154])).
% 20.68/3.08 fof(f183,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f99,f154])).
% 20.68/3.08 fof(f187,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f85,f154])).
% 20.68/3.08 fof(f188,plain,(
% 20.68/3.08 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f161,f154])).
% 20.68/3.08 fof(f191,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f67,f154])).
% 20.68/3.08 fof(f192,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f66,f154])).
% 20.68/3.08 fof(f195,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f57,f154])).
% 20.68/3.08 fof(f200,plain,(
% 20.68/3.08 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(union(X0,X2),union(X1,X3)))),
% 20.68/3.08 inference(backward_subsumption_resolution,[status(thm)],[f41,f154])).
% 20.68/3.08 fof(f202,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),subset_type(X2)))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f163,f154])).
% 20.68/3.08 fof(f203,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f164,f154])).
% 20.68/3.08 fof(f204,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f165,f154])).
% 20.68/3.08 fof(f205,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f166,f154])).
% 20.68/3.08 fof(f209,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f172,f154])).
% 20.68/3.08 fof(f214,plain,(
% 20.68/3.08 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f179,f154])).
% 20.68/3.08 fof(f217,plain,(
% 20.68/3.08 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f183,f154])).
% 20.68/3.08 fof(f219,plain,(
% 20.68/3.08 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f187,f154])).
% 20.68/3.08 fof(f221,plain,(
% 20.68/3.08 ![X0,X1]: (subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 20.68/3.08 inference(forward_subsumption_resolution,[status(thm)],[f191,f154])).
% 20.68/3.08 fof(f222,plain,(
% 20.68/3.08 ![X0,X1]: (subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f192,f154])).
% 20.68/3.09 fof(f225,plain,(
% 20.68/3.09 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f195,f154])).
% 20.68/3.09 fof(f230,plain,(
% 20.68/3.09 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X1,X3)|subset(union(X2,X1),union(X0,X3)))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f200,f154])).
% 20.68/3.09 fof(f231,plain,(
% 20.68/3.09 ![X0]: (~relation_like(X0)|field_of(X0)=union(domain_of(X0),range_of(X0)))),
% 20.68/3.09 inference(resolution,[status(thm)],[f188,f43])).
% 20.68/3.09 fof(f249,plain,(
% 20.68/3.09 range(sK11_skl,sK12_skl,sK13_skl)=range_of(sK13_skl)),
% 20.68/3.09 inference(resolution,[status(thm)],[f203,f159])).
% 20.68/3.09 fof(f252,plain,(
% 20.68/3.09 domain(sK11_skl,sK12_skl,sK13_skl)=domain_of(sK13_skl)),
% 20.68/3.09 inference(resolution,[status(thm)],[f205,f159])).
% 20.68/3.09 fof(f253,plain,(
% 20.68/3.09 ~ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))|ilf_type(range_of(sK13_skl),subset_type(sK12_skl))),
% 20.68/3.09 inference(paramodulation,[status(thm)],[f249,f202])).
% 20.68/3.09 fof(f254,plain,(
% 20.68/3.09 ilf_type(range_of(sK13_skl),subset_type(sK12_skl))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f253,f159])).
% 20.68/3.09 fof(f255,plain,(
% 20.68/3.09 ~ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))|ilf_type(domain_of(sK13_skl),subset_type(sK11_skl))),
% 20.68/3.09 inference(paramodulation,[status(thm)],[f252,f204])).
% 20.68/3.09 fof(f256,plain,(
% 20.68/3.09 ilf_type(domain_of(sK13_skl),subset_type(sK11_skl))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f255,f159])).
% 20.68/3.09 fof(f278,plain,(
% 20.68/3.09 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 20.68/3.09 inference(resolution,[status(thm)],[f219,f214])).
% 20.68/3.09 fof(f279,plain,(
% 20.68/3.09 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 20.68/3.09 inference(forward_subsumption_resolution,[status(thm)],[f278,f180])).
% 20.68/3.09 fof(f280,plain,(
% 20.68/3.09 member(domain_of(sK13_skl),power_set(sK11_skl))),
% 20.68/3.09 inference(resolution,[status(thm)],[f279,f256])).
% 20.68/3.09 fof(f281,plain,(
% 20.68/3.09 member(range_of(sK13_skl),power_set(sK12_skl))),
% 20.68/3.09 inference(resolution,[status(thm)],[f279,f254])).
% 20.68/3.09 fof(f346,plain,(
% 20.68/3.09 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 20.68/3.09 inference(resolution,[status(thm)],[f217,f154])).
% 20.68/3.09 fof(f352,plain,(
% 20.68/3.09 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK1_skl(X1,X2),X0)|subset(X2,X1))),
% 20.68/3.09 inference(resolution,[status(thm)],[f346,f221])).
% 20.68/3.09 fof(f354,plain,(
% 20.68/3.09 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|relation_like(X0))),
% 20.68/3.09 inference(resolution,[status(thm)],[f225,f209])).
% 20.68/3.09 fof(f359,plain,(
% 20.68/3.09 relation_like(sK13_skl)),
% 20.68/3.09 inference(resolution,[status(thm)],[f354,f159])).
% 20.68/3.09 fof(f361,plain,(
% 20.68/3.09 field_of(sK13_skl)=union(domain_of(sK13_skl),range_of(sK13_skl))),
% 20.68/3.09 inference(resolution,[status(thm)],[f359,f231])).
% 20.68/3.09 fof(f438,plain,(
% 20.68/3.09 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~subset(X2,X3)|subset(union(X1,X2),union(X0,X3)))),
% 20.68/3.09 inference(resolution,[status(thm)],[f230,f154])).
% 20.68/3.09 fof(f439,plain,(
% 20.68/3.09 ![X0,X1,X2,X3]: (~subset(X0,X1)|~subset(X2,X3)|subset(union(X0,X2),union(X1,X3)))),
% 14.20/3.13 inference(forward_subsumption_resolution,[status(thm)],[f438,f154])).
% 14.20/3.13 fof(f788,plain,(
% 14.20/3.13 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 14.20/3.13 inference(resolution,[status(thm)],[f352,f222])).
% 14.20/3.13 fof(f798,plain,(
% 14.20/3.13 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 14.20/3.13 inference(duplicate_literals_removal,[status(thm)],[f788])).
% 14.20/3.13 fof(f809,plain,(
% 14.20/3.13 subset(range_of(sK13_skl),sK12_skl)),
% 14.20/3.13 inference(resolution,[status(thm)],[f798,f281])).
% 14.20/3.13 fof(f814,plain,(
% 14.20/3.13 subset(domain_of(sK13_skl),sK11_skl)),
% 14.20/3.13 inference(resolution,[status(thm)],[f798,f280])).
% 14.20/3.13 fof(f832,plain,(
% 14.20/3.13 ![X0,X1]: (~subset(X0,X1)|subset(union(X0,range_of(sK13_skl)),union(X1,sK12_skl)))),
% 14.20/3.13 inference(resolution,[status(thm)],[f439,f809])).
% 14.20/3.13 fof(f1569,plain,(
% 14.20/3.13 ![X0]: (~subset(domain_of(sK13_skl),X0)|subset(field_of(sK13_skl),union(X0,sK12_skl)))),
% 14.20/3.13 inference(paramodulation,[status(thm)],[f361,f832])).
% 14.20/3.13 fof(f5641,plain,(
% 14.20/3.13 ~subset(domain_of(sK13_skl),sK11_skl)),
% 14.20/3.13 inference(resolution,[status(thm)],[f1569,f160])).
% 14.20/3.13 fof(f5647,plain,(
% 14.20/3.13 $false),
% 14.20/3.13 inference(forward_subsumption_resolution,[status(thm)],[f5641,f814])).
% 14.20/3.13 % SZS output end CNFRefutation for theBenchmark.p
% 14.20/3.14 % Elapsed time: 2.769236 seconds
% 14.20/3.14 % CPU time: 21.636691 seconds
% 14.20/3.14 % Total memory used: 290.661 MB
% 14.20/3.14 % Net memory used: 269.350 MB
%------------------------------------------------------------------------------