TSTP Solution File: SET683+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET683+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:10 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET683+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:22:12 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( member(B,range_of(C))=> (? [D] :( ilf_type(D,set_type)& member(D,domain_of(C)) ) )) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [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))) ) )) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,axiom,(
% 0.13/0.36 (! [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))) ) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f14,axiom,(
% 0.13/0.36 (! [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) ) ) )) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f15,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f18,axiom,(
% 0.13/0.36 (! [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) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f20,axiom,(
% 0.13/0.36 (! [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) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f21,axiom,(
% 0.13/0.36 (! [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)) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f22,axiom,(
% 0.13/0.36 (! [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) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f24,axiom,(
% 0.13/0.36 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f25,conjecture,(
% 0.13/0.36 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(C,B))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,range(C,B,D))=> (? [F] :( ilf_type(F,member_type(C))& member(F,domain(C,B,D)) ) )) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f26,negated_conjecture,(
% 0.13/0.36 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(C,B))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,range(C,B,D))=> (? [F] :( ilf_type(F,member_type(C))& member(F,domain(C,B,D)) ) )) ) )) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f25])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~member(B,range_of(C))|(?[D]: (ilf_type(D,set_type)&member(D,domain_of(C))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~member(B,range_of(C))|(ilf_type(sk0_0(C,B),set_type)&member(sk0_0(C,B),domain_of(C)))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f27])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,range_of(X1))|member(sk0_0(X1,X0),domain_of(X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![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)))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![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))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ![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))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f37])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ![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))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f44])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sk0_3(B),set_type)&member(sk0_3(B),B)))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f45])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sk0_3(X0),X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.37 fof(f57,plain,(
% 0.13/0.37 ![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)))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f56])).
% 0.13/0.37 fof(f60,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.37 fof(f63,plain,(
% 0.13/0.37 ![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)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 ![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))))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f63])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 ![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))))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f64])).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ![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))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 ![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)))))))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f70])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 ![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(sk0_6(C,B),set_type)&(member(sk0_6(C,B),B)&~member(sk0_6(C,B),C))))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f71])).
% 0.13/0.37 fof(f73,plain,(
% 0.13/0.37 ![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))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f72])).
% 0.13/0.37 fof(f77,plain,(
% 0.13/0.37 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f77])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 ![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))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.13/0.37 fof(f92,plain,(
% 0.13/0.37 ![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))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f91])).
% 0.13/0.37 fof(f95,plain,(
% 0.13/0.37 ![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))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.13/0.37 fof(f96,plain,(
% 0.13/0.37 ![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))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.13/0.37 fof(f97,plain,(
% 0.13/0.37 ![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)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f98,plain,(
% 0.13/0.37 ![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)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f97])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ![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))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ![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))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f104,plain,(
% 0.13/0.37 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(C,B))&(?[E]: (ilf_type(E,member_type(B))&(member(E,range(C,B,D))&(![F]: (~ilf_type(F,member_type(C))|~member(F,domain(C,B,D)))))))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 ((~empty(sk0_10)&ilf_type(sk0_10,set_type))&((~empty(sk0_11)&ilf_type(sk0_11,set_type))&(ilf_type(sk0_12,relation_type(sk0_11,sk0_10))&(ilf_type(sk0_13,member_type(sk0_10))&(member(sk0_13,range(sk0_11,sk0_10,sk0_12))&(![F]: (~ilf_type(F,member_type(sk0_11))|~member(F,domain(sk0_11,sk0_10,sk0_12)))))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f104])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ~empty(sk0_11)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f110,plain,(
% 0.13/0.37 ilf_type(sk0_12,relation_type(sk0_11,sk0_10))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f112,plain,(
% 0.13/0.37 member(sk0_13,range(sk0_11,sk0_10,sk0_12))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f113,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,member_type(sk0_11))|~member(X0,domain(sk0_11,sk0_10,sk0_12)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f114,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f60])).
% 0.13/0.37 fof(f116,plain,(
% 0.13/0.37 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f47,f103])).
% 0.13/0.37 fof(f117,plain,(
% 0.13/0.37 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f39,f103])).
% 0.13/0.37 fof(f118,plain,(
% 0.13/0.37 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f117,f103])).
% 0.13/0.37 fof(f129,plain,(
% 0.13/0.37 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f40,f103])).
% 0.13/0.37 fof(f130,plain,(
% 0.13/0.37 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f129,f103])).
% 0.13/0.37 fof(f131,plain,(
% 0.13/0.37 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f65,f103])).
% 0.13/0.37 fof(f134,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|domain(X2,X0,X1)=domain_of(X1))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f96,f103])).
% 0.13/0.37 fof(f135,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f134,f103])).
% 0.13/0.37 fof(f136,plain,(
% 0.13/0.37 ![X0]: (~empty(power_set(X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f78,f103])).
% 0.13/0.37 fof(f139,plain,(
% 0.13/0.37 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f114,f103])).
% 0.13/0.37 fof(f145,plain,(
% 0.13/0.37 ![X0]: (empty(X0)|member(sk0_3(X0),X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f49,f103])).
% 0.13/0.37 fof(f146,plain,(
% 0.13/0.37 spl0_2 <=> empty(domain(sk0_11,sk0_10,sk0_12))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f147,plain,(
% 0.13/0.37 empty(domain(sk0_11,sk0_10,sk0_12))|~spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f146])).
% 0.13/0.37 fof(f149,plain,(
% 0.13/0.37 spl0_3 <=> ilf_type(sk0_3(domain(sk0_11,sk0_10,sk0_12)),member_type(sk0_11))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f151,plain,(
% 0.13/0.37 ~ilf_type(sk0_3(domain(sk0_11,sk0_10,sk0_12)),member_type(sk0_11))|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.37 fof(f152,plain,(
% 0.13/0.37 empty(domain(sk0_11,sk0_10,sk0_12))|~ilf_type(sk0_3(domain(sk0_11,sk0_10,sk0_12)),member_type(sk0_11))),
% 0.13/0.37 inference(resolution,[status(thm)],[f145,f113])).
% 0.13/0.37 fof(f153,plain,(
% 0.13/0.37 spl0_2|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f152,f146,f149])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,range_of(X0))|member(sk0_0(X0,X1),domain_of(X0)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f30,f103])).
% 0.13/0.37 fof(f173,plain,(
% 0.13/0.37 spl0_6 <=> empty(sk0_11)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f174,plain,(
% 0.13/0.37 empty(sk0_11)|~spl0_6),
% 0.13/0.37 inference(component_clause,[status(thm)],[f173])).
% 0.13/0.37 fof(f176,plain,(
% 0.13/0.37 spl0_7 <=> member(sk0_3(domain(sk0_11,sk0_10,sk0_12)),sk0_11)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f178,plain,(
% 0.13/0.37 ~member(sk0_3(domain(sk0_11,sk0_10,sk0_12)),sk0_11)|spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f176])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 empty(sk0_11)|~member(sk0_3(domain(sk0_11,sk0_10,sk0_12)),sk0_11)|spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f151,f130])).
% 0.13/0.37 fof(f180,plain,(
% 0.13/0.37 spl0_6|~spl0_7|spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f179,f173,f176,f149])).
% 0.13/0.37 fof(f181,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|~member(X0,domain(sk0_11,sk0_10,sk0_12))|~spl0_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f147,f116])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ![X0]: (~member(X0,domain(sk0_11,sk0_10,sk0_12))|~spl0_2)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f181,f103])).
% 0.13/0.37 fof(f194,plain,(
% 0.13/0.37 domain(sk0_11,sk0_10,sk0_12)=domain_of(sk0_12)),
% 0.13/0.37 inference(resolution,[status(thm)],[f135,f110])).
% 0.13/0.37 fof(f196,plain,(
% 0.13/0.37 ~member(sk0_3(domain_of(sk0_12)),sk0_11)|spl0_7),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f194,f178])).
% 0.13/0.37 fof(f198,plain,(
% 0.13/0.37 ![X0]: (~member(X0,domain_of(sk0_12))|~spl0_2)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f194,f182])).
% 0.13/0.37 fof(f202,plain,(
% 0.13/0.37 spl0_9 <=> ilf_type(sk0_12,binary_relation_type)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f204,plain,(
% 0.13/0.37 ~ilf_type(sk0_12,binary_relation_type)|spl0_9),
% 0.13/0.37 inference(component_clause,[status(thm)],[f202])).
% 0.13/0.37 fof(f205,plain,(
% 0.13/0.37 spl0_10 <=> ~member(X0,range_of(sk0_12))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f206,plain,(
% 0.13/0.37 ![X0]: (~member(X0,range_of(sk0_12))|~spl0_10)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.37 fof(f208,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(sk0_12,binary_relation_type)|~member(X0,range_of(sk0_12))|~spl0_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f198,f170])).
% 0.13/0.37 fof(f209,plain,(
% 0.13/0.37 ~spl0_9|spl0_10|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f208,f202,f205,f146])).
% 0.13/0.37 fof(f212,plain,(
% 0.13/0.37 ~relation_like(sk0_12)|spl0_9),
% 0.13/0.37 inference(resolution,[status(thm)],[f204,f139])).
% 0.13/0.37 fof(f224,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f100,f103])).
% 0.13/0.37 fof(f225,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f224,f103])).
% 0.13/0.37 fof(f229,plain,(
% 0.13/0.37 range(sk0_11,sk0_10,sk0_12)=range_of(sk0_12)),
% 0.13/0.37 inference(resolution,[status(thm)],[f225,f110])).
% 0.13/0.37 fof(f230,plain,(
% 0.13/0.37 member(sk0_13,range_of(sk0_12))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f229,f112])).
% 0.13/0.37 fof(f231,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(domain(X2,X0,X1),subset_type(X2)))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f98,f103])).
% 0.13/0.37 fof(f232,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f231,f103])).
% 0.13/0.37 fof(f240,plain,(
% 0.13/0.37 ilf_type(domain(sk0_11,sk0_10,sk0_12),subset_type(sk0_11))),
% 0.13/0.37 inference(resolution,[status(thm)],[f232,f110])).
% 0.13/0.37 fof(f241,plain,(
% 0.13/0.37 ilf_type(domain_of(sk0_12),subset_type(sk0_11))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f194,f240])).
% 0.13/0.37 fof(f242,plain,(
% 0.13/0.37 spl0_11 <=> ilf_type(domain_of(sk0_12),set_type)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f244,plain,(
% 0.13/0.37 ~ilf_type(domain_of(sk0_12),set_type)|spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f242])).
% 0.13/0.37 fof(f245,plain,(
% 0.13/0.37 spl0_12 <=> ilf_type(domain_of(sk0_12),member_type(power_set(sk0_11)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f246,plain,(
% 0.13/0.37 ilf_type(domain_of(sk0_12),member_type(power_set(sk0_11)))|~spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f245])).
% 0.13/0.37 fof(f248,plain,(
% 0.13/0.37 ~ilf_type(domain_of(sk0_12),set_type)|ilf_type(domain_of(sk0_12),member_type(power_set(sk0_11)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f241,f131])).
% 0.13/0.37 fof(f249,plain,(
% 0.13/0.37 ~spl0_11|spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f248,f242,f245])).
% 0.13/0.37 fof(f250,plain,(
% 0.13/0.37 $false|spl0_11),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f244,f103])).
% 0.13/0.37 fof(f251,plain,(
% 0.13/0.37 spl0_11),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f250])).
% 0.13/0.37 fof(f345,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f33,f103])).
% 0.13/0.37 fof(f346,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.13/0.37 inference(resolution,[status(thm)],[f345,f103])).
% 0.13/0.37 fof(f347,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f73,f103])).
% 0.13/0.37 fof(f348,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f347,f103])).
% 0.13/0.37 fof(f349,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f348,f103])).
% 0.13/0.37 fof(f358,plain,(
% 0.13/0.37 spl0_18 <=> empty(power_set(sk0_11))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f359,plain,(
% 0.13/0.37 empty(power_set(sk0_11))|~spl0_18),
% 0.13/0.37 inference(component_clause,[status(thm)],[f358])).
% 0.13/0.37 fof(f361,plain,(
% 0.13/0.37 spl0_19 <=> member(domain_of(sk0_12),power_set(sk0_11))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f364,plain,(
% 0.13/0.37 empty(power_set(sk0_11))|member(domain_of(sk0_12),power_set(sk0_11))|~spl0_12),
% 0.13/0.37 inference(resolution,[status(thm)],[f246,f118])).
% 0.13/0.37 fof(f365,plain,(
% 0.13/0.37 spl0_18|spl0_19|~spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f364,f358,f361,f245])).
% 0.13/0.37 fof(f366,plain,(
% 0.13/0.37 $false|~spl0_18),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f359,f136])).
% 0.13/0.37 fof(f367,plain,(
% 0.13/0.37 ~spl0_18),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f366])).
% 0.13/0.37 fof(f400,plain,(
% 0.13/0.37 ![X0]: (~member(X0,power_set(sk0_11))|~member(sk0_3(domain_of(sk0_12)),X0)|spl0_7)),
% 0.13/0.37 inference(resolution,[status(thm)],[f349,f196])).
% 0.13/0.37 fof(f404,plain,(
% 0.13/0.37 spl0_21 <=> empty(domain_of(sk0_12))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f405,plain,(
% 0.13/0.37 empty(domain_of(sk0_12))|~spl0_21),
% 0.13/0.37 inference(component_clause,[status(thm)],[f404])).
% 0.13/0.37 fof(f407,plain,(
% 0.13/0.37 ~member(domain_of(sk0_12),power_set(sk0_11))|empty(domain_of(sk0_12))|spl0_7),
% 0.13/0.37 inference(resolution,[status(thm)],[f400,f145])).
% 0.13/0.37 fof(f408,plain,(
% 0.13/0.37 ~spl0_19|spl0_21|spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f407,f361,f404,f176])).
% 0.13/0.37 fof(f410,plain,(
% 0.13/0.37 $false|~spl0_6),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f174,f108])).
% 0.13/0.37 fof(f411,plain,(
% 0.13/0.37 ~spl0_6),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f410])).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(X0,set_type)|~member(X0,domain_of(sk0_12))|~spl0_21)),
% 0.13/0.37 inference(resolution,[status(thm)],[f405,f116])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 ![X0]: (~member(X0,domain_of(sk0_12))|~spl0_21)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f448,f103])).
% 0.13/0.37 fof(f455,plain,(
% 0.13/0.37 ![X0]: (~ilf_type(sk0_12,binary_relation_type)|~member(X0,range_of(sk0_12))|~spl0_21)),
% 0.13/0.37 inference(resolution,[status(thm)],[f449,f170])).
% 0.13/0.37 fof(f456,plain,(
% 0.13/0.37 ~spl0_9|spl0_10|~spl0_21),
% 0.13/0.37 inference(split_clause,[status(thm)],[f455,f202,f205,f404])).
% 0.13/0.37 fof(f533,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f92,f103])).
% 0.13/0.37 fof(f534,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f533,f103])).
% 0.13/0.37 fof(f551,plain,(
% 0.13/0.37 ![X0,X1,X2]: (relation_like(X0)|~ilf_type(X0,relation_type(X1,X2)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f534,f346])).
% 0.13/0.37 fof(f564,plain,(
% 0.13/0.37 relation_like(sk0_12)),
% 0.13/0.37 inference(resolution,[status(thm)],[f551,f110])).
% 0.13/0.37 fof(f565,plain,(
% 0.13/0.37 $false|spl0_9),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f564,f212])).
% 0.13/0.37 fof(f566,plain,(
% 0.13/0.37 spl0_9),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f565])).
% 0.13/0.37 fof(f572,plain,(
% 0.13/0.37 $false|~spl0_10),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f230,f206])).
% 0.13/0.37 fof(f573,plain,(
% 0.13/0.37 ~spl0_10),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f572])).
% 0.13/0.37 fof(f574,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f153,f180,f209,f249,f251,f365,f367,f408,f411,f456,f566,f573])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.027888 seconds
% 0.13/0.38 % CPU time: 0.086044 seconds
% 0.13/0.38 % Total memory used: 14.004 MB
% 0.13/0.38 % Net memory used: 13.959 MB
%------------------------------------------------------------------------------