%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET666+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 : n006.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 02:12:25 PM UTC 2026
% Result : Theorem 0.12s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET666+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
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:31:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.48 fof(f1,axiom,(
% 0.12/0.48 (! [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))) ) )) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f3,axiom,(
% 0.12/0.48 (! [B] :( ilf_type(B,set_type)=> subset(identity_relation_of(B),cross_product(B,B)) ) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f6,axiom,(
% 0.12/0.48 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,identity_relation_of_type(B))<=> ilf_type(C,relation_type(B,B)) ) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f12,axiom,(
% 0.12/0.48 (! [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))) ) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f14,axiom,(
% 0.12/0.48 (! [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) ) ) )) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f16,axiom,(
% 0.12/0.48 (! [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) ) ) )) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f18,axiom,(
% 0.12/0.48 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f22,axiom,(
% 0.12/0.48 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f24,axiom,(
% 0.12/0.48 (! [B] : ilf_type(B,set_type) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f25,conjecture,(
% 0.12/0.48 (! [B] :( ilf_type(B,set_type)=> ilf_type(identity_relation_of(B),identity_relation_of_type(B)) ) )),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f26,negated_conjecture,(
% 0.12/0.48 ~((! [B] :( ilf_type(B,set_type)=> ilf_type(identity_relation_of(B),identity_relation_of_type(B)) ) ))),
% 0.12/0.48 inference(negated_conjecture,[status(cth)],[f25])).
% 0.12/0.48 fof(f27,plain,(
% 0.12/0.48 ![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)))))))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.48 fof(f28,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|ilf_type(X2,relation_type(X0,X1)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.48 fof(f33,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|subset(identity_relation_of(B),cross_product(B,B)))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.48 fof(f34,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(X0,set_type)|subset(identity_relation_of(X0),cross_product(X0,X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.48 fof(f42,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,identity_relation_of_type(B))<=>ilf_type(C,relation_type(B,B))))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.48 fof(f43,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,identity_relation_of_type(B))|ilf_type(C,relation_type(B,B)))&(ilf_type(C,identity_relation_of_type(B))|~ilf_type(C,relation_type(B,B)))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f42])).
% 0.12/0.48 fof(f45,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X1,identity_relation_of_type(X0))|~ilf_type(X1,relation_type(X0,X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.48 fof(f60,plain,(
% 0.12/0.48 ![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)))))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.12/0.48 fof(f61,plain,(
% 0.12/0.48 ![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))))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f60])).
% 0.12/0.48 fof(f63,plain,(
% 0.12/0.48 ![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))))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.48 fof(f67,plain,(
% 0.12/0.48 ![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))))))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.12/0.48 fof(f68,plain,(
% 0.12/0.48 ![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)))))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f67])).
% 0.12/0.48 fof(f69,plain,(
% 0.12/0.48 ![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(sK4_skl(C,B),set_type)&(member(sK4_skl(C,B),B)&~member(sK4_skl(C,B),C))))))))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(D,sK4_skl(C,B))],[f68])).
% 0.12/0.48 fof(f70,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.48 fof(f76,plain,(
% 0.12/0.48 ![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))))))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/0.48 fof(f77,plain,(
% 0.12/0.48 ![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)))))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f76])).
% 0.12/0.48 fof(f78,plain,(
% 0.12/0.48 ![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(sK5_skl(C,B),set_type)&(member(sK5_skl(C,B),B)&~member(sK5_skl(C,B),C))))))))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B))],[f77])).
% 0.12/0.48 fof(f81,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sK5_skl(X1,X0),X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f78])).
% 0.12/0.48 fof(f82,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sK5_skl(X1,X0),X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f78])).
% 0.12/0.48 fof(f86,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.12/0.48 fof(f87,plain,(
% 0.12/0.48 ![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))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f86])).
% 0.12/0.48 fof(f89,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f87])).
% 0.12/0.48 fof(f104,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.12/0.48 fof(f105,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(?[C]: (ilf_type(C,set_type)&member(C,B))))))),
% 0.12/0.48 inference(NNF_transformation,[status(thm)],[f104])).
% 0.12/0.48 fof(f106,plain,(
% 0.12/0.48 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK10_skl(B),set_type)&member(sK10_skl(B),B)))))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(C,sK10_skl(B))],[f105])).
% 0.12/0.48 fof(f107,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.48 fof(f112,plain,(
% 0.12/0.48 ![X0]: (ilf_type(X0,set_type))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.48 fof(f113,plain,(
% 0.12/0.48 (?[B]: (ilf_type(B,set_type)&~ilf_type(identity_relation_of(B),identity_relation_of_type(B))))),
% 0.12/0.48 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.48 fof(f114,plain,(
% 0.12/0.48 (ilf_type(sK11_skl,set_type)&~ilf_type(identity_relation_of(sK11_skl),identity_relation_of_type(sK11_skl)))),
% 0.12/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(B,sK11_skl)],[f113])).
% 0.12/0.48 fof(f116,plain,(
% 0.12/0.48 ~ilf_type(identity_relation_of(sK11_skl),identity_relation_of_type(sK11_skl))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f114])).
% 0.12/0.48 fof(f124,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,identity_relation_of_type(X1))|~ilf_type(X0,relation_type(X1,X1)))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f45,f112])).
% 0.12/0.48 fof(f134,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f28,f112])).
% 0.12/0.48 fof(f147,plain,(
% 0.12/0.48 ![X0]: (subset(identity_relation_of(X0),cross_product(X0,X0)))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f34,f112])).
% 0.12/0.48 fof(f230,plain,(
% 0.12/0.48 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f107,f112])).
% 0.12/0.48 fof(f231,plain,(
% 0.12/0.48 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f230,f112])).
% 0.12/0.48 fof(f257,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f63,f112])).
% 0.12/0.48 fof(f260,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f70,f112])).
% 0.12/0.48 fof(f261,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~member(X2,X1)|member(X2,X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f260,f112])).
% 0.12/0.48 fof(f262,plain,(
% 0.12/0.48 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f261,f112])).
% 0.12/0.48 fof(f264,plain,(
% 0.12/0.48 ![X0,X1]: (~member(X0,identity_relation_of(X1))|member(X0,cross_product(X1,X1)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f262,f147])).
% 0.12/0.48 fof(f342,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sK5_skl(X0,X1),X1))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f81,f112])).
% 0.12/0.48 fof(f343,plain,(
% 0.12/0.48 ![X0,X1]: (member(X0,power_set(X1))|member(sK5_skl(X1,X0),X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f342,f112])).
% 0.12/0.48 fof(f361,plain,(
% 0.12/0.48 ![X0,X1]: (member(identity_relation_of(X0),power_set(X1))|member(sK5_skl(X1,identity_relation_of(X0)),cross_product(X0,X0)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f343,f264])).
% 0.12/0.48 fof(f446,plain,(
% 0.12/0.48 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sK5_skl(X0,X1),X0))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f82,f112])).
% 0.12/0.48 fof(f448,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(cross_product(X0,X0),set_type)|member(identity_relation_of(X0),power_set(cross_product(X0,X0)))|member(identity_relation_of(X0),power_set(cross_product(X0,X0))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f446,f361])).
% 0.12/0.48 fof(f452,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(cross_product(X0,X0),set_type)|member(identity_relation_of(X0),power_set(cross_product(X0,X0))))),
% 0.12/0.48 inference(duplicate_literals_removal,[status(thm)],[f448])).
% 0.12/0.48 fof(f453,plain,(
% 0.12/0.48 ![X0]: (member(identity_relation_of(X0),power_set(cross_product(X0,X0))))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f452,f112])).
% 0.12/0.48 fof(f468,plain,(
% 0.12/0.48 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f89,f112])).
% 0.12/0.48 fof(f469,plain,(
% 0.12/0.48 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f468,f112])).
% 0.12/0.48 fof(f470,plain,(
% 0.12/0.48 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f469,f231])).
% 0.12/0.48 fof(f551,plain,(
% 0.12/0.48 ![X0]: (ilf_type(identity_relation_of(X0),member_type(power_set(cross_product(X0,X0)))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f453,f470])).
% 0.12/0.48 fof(f606,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(identity_relation_of(X0),set_type)|ilf_type(identity_relation_of(X0),subset_type(cross_product(X0,X0))))),
% 0.12/0.48 inference(resolution,[status(thm)],[f551,f257])).
% 0.12/0.48 fof(f608,plain,(
% 0.12/0.48 ![X0]: (ilf_type(identity_relation_of(X0),subset_type(cross_product(X0,X0))))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f606,f112])).
% 0.12/0.48 fof(f610,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(X0,set_type)|ilf_type(identity_relation_of(X0),relation_type(X0,X0)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f608,f134])).
% 0.12/0.48 fof(f612,plain,(
% 0.12/0.48 ![X0]: (ilf_type(identity_relation_of(X0),relation_type(X0,X0)))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f610,f112])).
% 0.12/0.48 fof(f614,plain,(
% 0.12/0.48 ![X0]: (~ilf_type(identity_relation_of(X0),set_type)|ilf_type(identity_relation_of(X0),identity_relation_of_type(X0)))),
% 0.12/0.48 inference(resolution,[status(thm)],[f612,f124])).
% 0.12/0.48 fof(f615,plain,(
% 0.12/0.48 ![X0]: (ilf_type(identity_relation_of(X0),identity_relation_of_type(X0)))),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f614,f112])).
% 0.12/0.48 fof(f617,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f116,f615])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.133742 seconds
% 0.12/0.50 % CPU time: 0.791288 seconds
% 0.12/0.50 % Total memory used: 100.296 MB
% 0.12/0.50 % Net memory used: 99.294 MB
%------------------------------------------------------------------------------