%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET682+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 : n016.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 02:12:27 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET682+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 : n016.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 05:37:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( member(B,domain_of(C))=> (? [D] :( ilf_type(D,set_type)& member(D,range_of(C)) ) )) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (! [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))) ) )) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f4,axiom,(
% 0.13/0.43 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f6,axiom,(
% 0.13/0.43 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f10,axiom,(
% 0.13/0.43 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f12,axiom,(
% 0.13/0.43 (! [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))) ) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f14,axiom,(
% 0.13/0.43 (! [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) ) ) )) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f15,axiom,(
% 0.13/0.43 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f18,axiom,(
% 0.13/0.43 (! [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) ) )) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f20,axiom,(
% 0.13/0.43 (! [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) ) )) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f22,axiom,(
% 0.13/0.43 (! [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) ) )) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f23,axiom,(
% 0.13/0.43 (! [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)) ) )) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f24,axiom,(
% 0.13/0.43 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f25,conjecture,(
% 0.13/0.43 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,domain(B,C,D))=> (? [F] :( ilf_type(F,member_type(C))& member(F,range(B,C,D)) ) )) ) )) )) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f26,negated_conjecture,(
% 0.13/0.43 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,domain(B,C,D))=> (? [F] :( ilf_type(F,member_type(C))& member(F,range(B,C,D)) ) )) ) )) )) )) ))),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f25])).
% 0.13/0.43 fof(f27,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~member(B,domain_of(C))|(?[D]: (ilf_type(D,set_type)&member(D,range_of(C))))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.43 fof(f28,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~member(B,domain_of(C))|(ilf_type(sK0_skl(C,B),set_type)&member(sK0_skl(C,B),range_of(C)))))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f27])).
% 0.13/0.43 fof(f30,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,domain_of(X1))|member(sK0_skl(X1,X0),range_of(X1)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.43 fof(f31,plain,(
% 0.13/0.43 ![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)))))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f33,plain,(
% 0.13/0.43 ![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))))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f37])).
% 0.13/0.43 fof(f39,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.43 fof(f40,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.43 fof(f44,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.43 fof(f45,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f44])).
% 0.13/0.43 fof(f46,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK3_skl(B),set_type)&member(sK3_skl(B),B)))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B))],[f45])).
% 0.13/0.43 fof(f47,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.43 fof(f49,plain,(
% 0.13/0.43 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sK3_skl(X0),X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.43 fof(f56,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.43 fof(f57,plain,(
% 0.13/0.43 ![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)))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f56])).
% 0.13/0.43 fof(f60,plain,(
% 0.13/0.43 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.43 fof(f63,plain,(
% 0.13/0.43 ![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)))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/0.43 fof(f64,plain,(
% 0.13/0.43 ![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))))))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f63])).
% 0.13/0.43 fof(f65,plain,(
% 0.13/0.43 ![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))))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.43 fof(f70,plain,(
% 0.13/0.43 ![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))))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.13/0.43 fof(f71,plain,(
% 0.13/0.43 ![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)))))))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f70])).
% 0.13/0.43 fof(f72,plain,(
% 0.13/0.43 ![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(sK6_skl(C,B),set_type)&(member(sK6_skl(C,B),B)&~member(sK6_skl(C,B),C))))))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(D,sK6_skl(C,B))],[f71])).
% 0.13/0.43 fof(f73,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.43 fof(f77,plain,(
% 0.13/0.43 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.43 fof(f78,plain,(
% 0.13/0.43 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f77])).
% 0.13/0.43 fof(f91,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/0.43 fof(f92,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.13/0.43 fof(f95,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.13/0.43 fof(f96,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f95])).
% 0.13/0.43 fof(f99,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.13/0.43 fof(f100,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f99])).
% 0.13/0.43 fof(f101,plain,(
% 0.13/0.43 ![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)))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f102,plain,(
% 0.13/0.43 ![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)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f101])).
% 0.13/0.43 fof(f103,plain,(
% 0.13/0.43 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.43 fof(f104,plain,(
% 0.13/0.43 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(B,C))&(?[E]: (ilf_type(E,member_type(B))&(member(E,domain(B,C,D))&(![F]: (~ilf_type(F,member_type(C))|~member(F,range(B,C,D)))))))))))))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.13/0.43 fof(f105,plain,(
% 0.13/0.43 ((~empty(sK10_skl)&ilf_type(sK10_skl,set_type))&((~empty(sK11_skl)&ilf_type(sK11_skl,set_type))&(ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))&(ilf_type(sK13_skl,member_type(sK10_skl))&(member(sK13_skl,domain(sK10_skl,sK11_skl,sK12_skl))&(![F]: (~ilf_type(F,member_type(sK11_skl))|~member(F,range(sK10_skl,sK11_skl,sK12_skl)))))))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(B,sK10_skl),skolemize(C,sK11_skl),skolemize(D,sK12_skl),skolemize(E,sK13_skl)],[f104])).
% 0.13/0.43 fof(f110,plain,(
% 0.13/0.43 ilf_type(sK12_skl,relation_type(sK10_skl,sK11_skl))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f105])).
% 0.13/0.43 fof(f112,plain,(
% 0.13/0.43 member(sK13_skl,domain(sK10_skl,sK11_skl,sK12_skl))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f105])).
% 0.13/0.43 fof(f113,plain,(
% 0.13/0.43 ![X0]: (~ilf_type(X0,member_type(sK11_skl))|~member(X0,range(sK10_skl,sK11_skl,sK12_skl)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f105])).
% 0.13/0.43 fof(f114,plain,(
% 0.13/0.43 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.43 inference(duplicate_literals_removal,[status(thm)],[f60])).
% 0.13/0.43 fof(f116,plain,(
% 0.13/0.43 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f47,f103])).
% 0.13/0.43 fof(f117,plain,(
% 0.13/0.43 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.13/0.43 inference(resolution,[status(thm)],[f116,f103])).
% 0.13/0.43 fof(f119,plain,(
% 0.13/0.43 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f39,f103])).
% 0.13/0.43 fof(f124,plain,(
% 0.13/0.43 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f40,f103])).
% 0.13/0.43 fof(f125,plain,(
% 0.13/0.43 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.13/0.43 inference(resolution,[status(thm)],[f124,f103])).
% 0.13/0.43 fof(f126,plain,(
% 0.13/0.43 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f125,f117])).
% 0.13/0.43 fof(f127,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f65,f103])).
% 0.13/0.43 fof(f129,plain,(
% 0.13/0.43 ![X0]: (~empty(power_set(X0)))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f78,f103])).
% 0.13/0.43 fof(f134,plain,(
% 0.13/0.43 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f114,f103])).
% 0.13/0.43 fof(f142,plain,(
% 0.13/0.43 ![X0]: (empty(X0)|member(sK3_skl(X0),X0))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f49,f103])).
% 0.13/0.43 fof(f143,plain,(
% 0.13/0.43 empty(range(sK10_skl,sK11_skl,sK12_skl))|~ilf_type(sK3_skl(range(sK10_skl,sK11_skl,sK12_skl)),member_type(sK11_skl))),
% 0.13/0.43 inference(resolution,[status(thm)],[f142,f113])).
% 0.13/0.43 fof(f157,plain,(
% 0.13/0.43 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(sK0_skl(X0,X1),range_of(X0)))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f30,f103])).
% 0.13/0.43 fof(f167,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|domain(X2,X0,X1)=domain_of(X1))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f96,f103])).
% 0.13/0.43 fof(f169,plain,(
% 0.13/0.43 ~ilf_type(sK11_skl,set_type)|domain(sK10_skl,sK11_skl,sK12_skl)=domain_of(sK12_skl)),
% 0.13/0.43 inference(resolution,[status(thm)],[f167,f110])).
% 0.13/0.43 fof(f171,plain,(
% 0.13/0.43 domain(sK10_skl,sK11_skl,sK12_skl)=domain_of(sK12_skl)),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f169,f103])).
% 0.13/0.43 fof(f174,plain,(
% 0.13/0.43 member(sK13_skl,domain_of(sK12_skl))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f171,f112])).
% 0.13/0.43 fof(f175,plain,(
% 0.13/0.43 ~ilf_type(sK12_skl,binary_relation_type)|member(sK0_skl(sK12_skl,sK13_skl),range_of(sK12_skl))),
% 0.13/0.43 inference(resolution,[status(thm)],[f174,f157])).
% 0.13/0.43 fof(f196,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f100,f103])).
% 0.13/0.43 fof(f198,plain,(
% 0.13/0.43 ~ilf_type(sK11_skl,set_type)|range(sK10_skl,sK11_skl,sK12_skl)=range_of(sK12_skl)),
% 0.13/0.43 inference(resolution,[status(thm)],[f196,f110])).
% 0.13/0.43 fof(f200,plain,(
% 0.13/0.43 range(sK10_skl,sK11_skl,sK12_skl)=range_of(sK12_skl)),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f198,f103])).
% 0.13/0.43 fof(f204,plain,(
% 0.13/0.43 empty(range(sK10_skl,sK11_skl,sK12_skl))|~ilf_type(sK3_skl(range_of(sK12_skl)),member_type(sK11_skl))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f200,f143])).
% 0.13/0.43 fof(f207,plain,(
% 0.13/0.43 empty(range_of(sK12_skl))|~ilf_type(sK3_skl(range_of(sK12_skl)),member_type(sK11_skl))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f200,f204])).
% 0.13/0.43 fof(f244,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f33,f103])).
% 0.13/0.44 fof(f248,plain,(
% 0.13/0.44 ~ilf_type(sK11_skl,set_type)|ilf_type(sK12_skl,subset_type(cross_product(sK10_skl,sK11_skl)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f244,f110])).
% 0.13/0.44 fof(f249,plain,(
% 0.13/0.44 ilf_type(sK12_skl,subset_type(cross_product(sK10_skl,sK11_skl)))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f248,f103])).
% 0.13/0.44 fof(f298,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(range(X2,X0,X1),subset_type(X0)))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f102,f103])).
% 0.13/0.44 fof(f304,plain,(
% 0.13/0.44 ~ilf_type(sK11_skl,set_type)|ilf_type(range(sK10_skl,sK11_skl,sK12_skl),subset_type(sK11_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f298,f110])).
% 0.13/0.44 fof(f311,plain,(
% 0.13/0.44 ~ilf_type(sK11_skl,set_type)|ilf_type(range_of(sK12_skl),subset_type(sK11_skl))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f200,f304])).
% 0.13/0.44 fof(f312,plain,(
% 0.13/0.44 ilf_type(range_of(sK12_skl),subset_type(sK11_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f311,f103])).
% 0.13/0.44 fof(f314,plain,(
% 0.13/0.44 ~ilf_type(range_of(sK12_skl),set_type)|ilf_type(range_of(sK12_skl),member_type(power_set(sK11_skl)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f312,f127])).
% 0.13/0.44 fof(f315,plain,(
% 0.13/0.44 ilf_type(range_of(sK12_skl),member_type(power_set(sK11_skl)))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f314,f103])).
% 0.13/0.44 fof(f321,plain,(
% 0.13/0.44 empty(power_set(sK11_skl))|~ilf_type(power_set(sK11_skl),set_type)|member(range_of(sK12_skl),power_set(sK11_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f315,f119])).
% 0.13/0.44 fof(f322,plain,(
% 0.13/0.44 ~ilf_type(power_set(sK11_skl),set_type)|member(range_of(sK12_skl),power_set(sK11_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f321,f129])).
% 0.13/0.44 fof(f368,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f73,f103])).
% 0.13/0.44 fof(f396,plain,(
% 0.13/0.44 member(range_of(sK12_skl),power_set(sK11_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f322,f103])).
% 0.13/0.44 fof(f397,plain,(
% 0.13/0.44 ![X0]: (~ilf_type(sK11_skl,set_type)|~ilf_type(X0,set_type)|~member(X0,range_of(sK12_skl))|member(X0,sK11_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f396,f368])).
% 0.13/0.44 fof(f400,plain,(
% 0.13/0.44 ![X0]: (~ilf_type(X0,set_type)|~member(X0,range_of(sK12_skl))|member(X0,sK11_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f397,f103])).
% 0.13/0.44 fof(f468,plain,(
% 0.13/0.44 ![X0]: (~member(X0,range_of(sK12_skl))|member(X0,sK11_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f400,f103])).
% 0.13/0.44 fof(f475,plain,(
% 0.13/0.44 member(sK3_skl(range_of(sK12_skl)),sK11_skl)|empty(range_of(sK12_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f468,f142])).
% 0.13/0.44 fof(f485,plain,(
% 0.13/0.44 empty(range_of(sK12_skl))|ilf_type(sK3_skl(range_of(sK12_skl)),member_type(sK11_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f475,f126])).
% 0.13/0.44 fof(f487,plain,(
% 0.13/0.44 empty(range_of(sK12_skl))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f485,f207])).
% 0.13/0.44 fof(f640,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f92,f103])).
% 0.13/0.44 fof(f658,plain,(
% 0.13/0.44 ~ilf_type(sK11_skl,set_type)|relation_like(sK12_skl)),
% 0.13/0.44 inference(resolution,[status(thm)],[f640,f249])).
% 0.13/0.44 fof(f675,plain,(
% 0.13/0.44 relation_like(sK12_skl)),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f658,f103])).
% 0.13/0.44 fof(f677,plain,(
% 0.13/0.44 ilf_type(sK12_skl,binary_relation_type)),
% 0.13/0.44 inference(resolution,[status(thm)],[f675,f134])).
% 0.13/0.44 fof(f678,plain,(
% 0.13/0.44 member(sK0_skl(sK12_skl,sK13_skl),range_of(sK12_skl))),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f175,f677])).
% 0.13/0.44 fof(f698,plain,(
% 0.13/0.44 ~empty(range_of(sK12_skl))),
% 0.13/0.44 inference(resolution,[status(thm)],[f678,f117])).
% 0.13/0.44 fof(f699,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f698,f487])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.083132 seconds
% 0.13/0.45 % CPU time: 0.377097 seconds
% 0.13/0.45 % Total memory used: 89.731 MB
% 0.13/0.45 % Net memory used: 89.205 MB
%------------------------------------------------------------------------------