TSTP Solution File: SET682+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET682+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Wed May 31 12:35:01 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET682+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:35:27 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f1,axiom,(
% 0.15/0.32 (! [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)) ) )) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f2,axiom,(
% 0.15/0.32 (! [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))) ) )) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f4,axiom,(
% 0.15/0.32 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f6,axiom,(
% 0.15/0.32 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f10,axiom,(
% 0.15/0.32 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f12,axiom,(
% 0.15/0.32 (! [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))) ) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f14,axiom,(
% 0.15/0.32 (! [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) ) ) )) ) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f15,axiom,(
% 0.15/0.32 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f18,axiom,(
% 0.15/0.32 (! [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) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f20,axiom,(
% 0.15/0.32 (! [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) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f22,axiom,(
% 0.15/0.32 (! [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) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f23,axiom,(
% 0.15/0.32 (! [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)) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f24,axiom,(
% 0.15/0.32 (! [B] : ilf_type(B,set_type) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f25,conjecture,(
% 0.15/0.32 (! [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)) ) )) ) )) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f26,negated_conjecture,(
% 0.15/0.32 ~((! [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)) ) )) ) )) )) )) ))),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f25])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 ![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))))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.32 fof(f28,plain,(
% 0.15/0.32 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~member(B,domain_of(C))|(ilf_type(sk0_0(C,B),set_type)&member(sk0_0(C,B),range_of(C)))))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f27])).
% 0.15/0.32 fof(f30,plain,(
% 0.15/0.32 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,domain_of(X1))|member(sk0_0(X1,X0),range_of(X1)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.32 fof(f31,plain,(
% 0.15/0.32 ![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)))))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.32 fof(f33,plain,(
% 0.15/0.32 ![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))))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.32 fof(f37,plain,(
% 0.15/0.32 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.32 fof(f38,plain,(
% 0.15/0.32 ![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))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f37])).
% 0.15/0.32 fof(f39,plain,(
% 0.15/0.32 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.32 fof(f40,plain,(
% 0.15/0.32 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.32 fof(f44,plain,(
% 0.15/0.32 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.32 fof(f45,plain,(
% 0.15/0.32 ![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))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f44])).
% 0.15/0.32 fof(f46,plain,(
% 0.15/0.32 ![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)))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f45])).
% 0.15/0.32 fof(f47,plain,(
% 0.15/0.32 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.32 fof(f49,plain,(
% 0.15/0.32 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sk0_3(X0),X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.32 fof(f56,plain,(
% 0.15/0.32 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.32 fof(f57,plain,(
% 0.15/0.32 ![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)))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f56])).
% 0.15/0.32 fof(f60,plain,(
% 0.15/0.32 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f57])).
% 0.15/0.32 fof(f63,plain,(
% 0.15/0.32 ![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)))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.15/0.32 fof(f64,plain,(
% 0.15/0.32 ![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))))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f63])).
% 0.15/0.32 fof(f65,plain,(
% 0.15/0.32 ![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))))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f64])).
% 0.15/0.32 fof(f70,plain,(
% 0.15/0.32 ![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))))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.32 fof(f71,plain,(
% 0.15/0.32 ![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)))))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f70])).
% 0.15/0.32 fof(f72,plain,(
% 0.15/0.32 ![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))))))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f71])).
% 0.15/0.32 fof(f73,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f72])).
% 0.15/0.32 fof(f77,plain,(
% 0.15/0.32 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.32 fof(f78,plain,(
% 0.15/0.32 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f77])).
% 0.15/0.32 fof(f91,plain,(
% 0.15/0.32 ![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))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.15/0.32 fof(f92,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f91])).
% 0.15/0.32 fof(f95,plain,(
% 0.15/0.32 ![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))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.32 fof(f96,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f95])).
% 0.15/0.32 fof(f99,plain,(
% 0.15/0.32 ![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))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.15/0.32 fof(f100,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f99])).
% 0.15/0.32 fof(f101,plain,(
% 0.15/0.32 ![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)))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.15/0.32 fof(f102,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f101])).
% 0.15/0.32 fof(f103,plain,(
% 0.15/0.32 ![X0]: (ilf_type(X0,set_type))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.32 fof(f104,plain,(
% 0.15/0.32 (?[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)))))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.33 fof(f105,plain,(
% 0.15/0.33 ((~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_10,sk0_11))&(ilf_type(sk0_13,member_type(sk0_10))&(member(sk0_13,domain(sk0_10,sk0_11,sk0_12))&(![F]: (~ilf_type(F,member_type(sk0_11))|~member(F,range(sk0_10,sk0_11,sk0_12)))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f104])).
% 0.15/0.33 fof(f108,plain,(
% 0.15/0.33 ~empty(sk0_11)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.33 fof(f110,plain,(
% 0.15/0.33 ilf_type(sk0_12,relation_type(sk0_10,sk0_11))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.33 fof(f112,plain,(
% 0.15/0.33 member(sk0_13,domain(sk0_10,sk0_11,sk0_12))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.33 fof(f113,plain,(
% 0.15/0.33 ![X0]: (~ilf_type(X0,member_type(sk0_11))|~member(X0,range(sk0_10,sk0_11,sk0_12)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.33 fof(f114,plain,(
% 0.15/0.33 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f60])).
% 0.15/0.33 fof(f116,plain,(
% 0.15/0.33 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f47,f103])).
% 0.15/0.33 fof(f117,plain,(
% 0.15/0.33 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f39,f103])).
% 0.15/0.33 fof(f118,plain,(
% 0.15/0.33 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f117,f103])).
% 0.15/0.33 fof(f129,plain,(
% 0.15/0.33 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f40,f103])).
% 0.15/0.33 fof(f130,plain,(
% 0.15/0.33 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f129,f103])).
% 0.15/0.33 fof(f131,plain,(
% 0.15/0.33 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f65,f103])).
% 0.15/0.33 fof(f134,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|domain(X2,X0,X1)=domain_of(X1))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f96,f103])).
% 0.15/0.33 fof(f135,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f134,f103])).
% 0.15/0.33 fof(f136,plain,(
% 0.15/0.33 ![X0]: (~empty(power_set(X0)))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f78,f103])).
% 0.15/0.33 fof(f139,plain,(
% 0.15/0.33 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f114,f103])).
% 0.15/0.33 fof(f145,plain,(
% 0.15/0.33 ![X0]: (empty(X0)|member(sk0_3(X0),X0))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f49,f103])).
% 0.15/0.33 fof(f146,plain,(
% 0.15/0.33 spl0_2 <=> empty(range(sk0_10,sk0_11,sk0_12))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f147,plain,(
% 0.15/0.33 empty(range(sk0_10,sk0_11,sk0_12))|~spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f146])).
% 0.15/0.33 fof(f148,plain,(
% 0.15/0.33 ~empty(range(sk0_10,sk0_11,sk0_12))|spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f146])).
% 0.15/0.33 fof(f149,plain,(
% 0.15/0.33 spl0_3 <=> ilf_type(sk0_3(range(sk0_10,sk0_11,sk0_12)),member_type(sk0_11))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f151,plain,(
% 0.15/0.33 ~ilf_type(sk0_3(range(sk0_10,sk0_11,sk0_12)),member_type(sk0_11))|spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f149])).
% 0.15/0.33 fof(f152,plain,(
% 0.15/0.33 empty(range(sk0_10,sk0_11,sk0_12))|~ilf_type(sk0_3(range(sk0_10,sk0_11,sk0_12)),member_type(sk0_11))),
% 0.15/0.33 inference(resolution,[status(thm)],[f145,f113])).
% 0.15/0.33 fof(f153,plain,(
% 0.15/0.33 spl0_2|~spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f152,f146,f149])).
% 0.15/0.33 fof(f170,plain,(
% 0.15/0.33 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(sk0_0(X0,X1),range_of(X0)))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f30,f103])).
% 0.15/0.33 fof(f173,plain,(
% 0.15/0.33 spl0_6 <=> empty(sk0_11)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f174,plain,(
% 0.15/0.33 empty(sk0_11)|~spl0_6),
% 0.15/0.33 inference(component_clause,[status(thm)],[f173])).
% 0.15/0.33 fof(f176,plain,(
% 0.15/0.33 spl0_7 <=> member(sk0_3(range(sk0_10,sk0_11,sk0_12)),sk0_11)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f178,plain,(
% 0.15/0.33 ~member(sk0_3(range(sk0_10,sk0_11,sk0_12)),sk0_11)|spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f176])).
% 0.15/0.33 fof(f179,plain,(
% 0.15/0.33 empty(sk0_11)|~member(sk0_3(range(sk0_10,sk0_11,sk0_12)),sk0_11)|spl0_3),
% 0.15/0.33 inference(resolution,[status(thm)],[f151,f130])).
% 0.15/0.33 fof(f180,plain,(
% 0.15/0.33 spl0_6|~spl0_7|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f179,f173,f176,f149])).
% 0.15/0.33 fof(f181,plain,(
% 0.15/0.33 ![X0]: (~ilf_type(X0,set_type)|~member(X0,range(sk0_10,sk0_11,sk0_12))|~spl0_2)),
% 0.15/0.33 inference(resolution,[status(thm)],[f147,f116])).
% 0.15/0.33 fof(f182,plain,(
% 0.15/0.33 ![X0]: (~member(X0,range(sk0_10,sk0_11,sk0_12))|~spl0_2)),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f181,f103])).
% 0.15/0.33 fof(f194,plain,(
% 0.15/0.33 domain(sk0_10,sk0_11,sk0_12)=domain_of(sk0_12)),
% 0.15/0.33 inference(resolution,[status(thm)],[f135,f110])).
% 0.15/0.33 fof(f195,plain,(
% 0.15/0.33 member(sk0_13,domain_of(sk0_12))),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f194,f112])).
% 0.15/0.33 fof(f204,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|range(X2,X0,X1)=range_of(X1))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f100,f103])).
% 0.15/0.33 fof(f205,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f204,f103])).
% 0.15/0.33 fof(f209,plain,(
% 0.15/0.33 range(sk0_10,sk0_11,sk0_12)=range_of(sk0_12)),
% 0.15/0.33 inference(resolution,[status(thm)],[f205,f110])).
% 0.15/0.33 fof(f211,plain,(
% 0.15/0.33 ~member(sk0_3(range_of(sk0_12)),sk0_11)|spl0_7),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f209,f178])).
% 0.15/0.33 fof(f213,plain,(
% 0.15/0.33 ![X0]: (~member(X0,range_of(sk0_12))|~spl0_2)),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f209,f182])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 spl0_9 <=> ilf_type(sk0_12,binary_relation_type)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f219,plain,(
% 0.15/0.33 ~ilf_type(sk0_12,binary_relation_type)|spl0_9),
% 0.15/0.33 inference(component_clause,[status(thm)],[f217])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 spl0_10 <=> ~member(X0,domain_of(sk0_12))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f221,plain,(
% 0.15/0.33 ![X0]: (~member(X0,domain_of(sk0_12))|~spl0_10)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f220])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ![X0]: (~ilf_type(sk0_12,binary_relation_type)|~member(X0,domain_of(sk0_12))|~spl0_2)),
% 0.15/0.33 inference(resolution,[status(thm)],[f213,f170])).
% 0.15/0.33 fof(f224,plain,(
% 0.15/0.33 ~spl0_9|spl0_10|~spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f223,f217,f220,f146])).
% 0.15/0.33 fof(f227,plain,(
% 0.15/0.33 ~relation_like(sk0_12)|spl0_9),
% 0.15/0.33 inference(resolution,[status(thm)],[f219,f139])).
% 0.15/0.33 fof(f234,plain,(
% 0.15/0.33 spl0_11 <=> ilf_type(sk0_12,relation_type(sk0_10,sk0_11))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f236,plain,(
% 0.15/0.33 ~ilf_type(sk0_12,relation_type(sk0_10,sk0_11))|spl0_11),
% 0.15/0.33 inference(component_clause,[status(thm)],[f234])).
% 0.15/0.33 fof(f242,plain,(
% 0.15/0.33 $false|spl0_11),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f236,f110])).
% 0.15/0.33 fof(f243,plain,(
% 0.15/0.33 spl0_11),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f242])).
% 0.15/0.33 fof(f264,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(range(X2,X0,X1),subset_type(X0)))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f102,f103])).
% 0.15/0.33 fof(f265,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),subset_type(X2)))),
% 0.15/0.33 inference(resolution,[status(thm)],[f264,f103])).
% 0.15/0.33 fof(f267,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|~ilf_type(range(X1,X2,X0),set_type)|ilf_type(range(X1,X2,X0),member_type(power_set(X2))))),
% 0.15/0.33 inference(resolution,[status(thm)],[f265,f131])).
% 0.15/0.33 fof(f268,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),member_type(power_set(X2))))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f267,f103])).
% 0.15/0.33 fof(f312,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|empty(power_set(X2))|member(range(X1,X2,X0),power_set(X2)))),
% 0.15/0.33 inference(resolution,[status(thm)],[f268,f118])).
% 0.15/0.33 fof(f313,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|member(range(X1,X2,X0),power_set(X2)))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f312,f136])).
% 0.15/0.33 fof(f325,plain,(
% 0.15/0.33 spl0_19 <=> member(range_of(sk0_12),power_set(sk0_11))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f328,plain,(
% 0.15/0.33 ~ilf_type(sk0_12,relation_type(sk0_10,sk0_11))|member(range_of(sk0_12),power_set(sk0_11))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f209,f313])).
% 0.15/0.33 fof(f329,plain,(
% 0.15/0.33 ~spl0_11|spl0_19),
% 0.15/0.33 inference(split_clause,[status(thm)],[f328,f234,f325])).
% 0.15/0.33 fof(f364,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f33,f103])).
% 0.15/0.33 fof(f365,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.15/0.33 inference(resolution,[status(thm)],[f364,f103])).
% 0.15/0.33 fof(f366,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f73,f103])).
% 0.15/0.34 fof(f367,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.15/0.34 inference(resolution,[status(thm)],[f366,f103])).
% 0.15/0.34 fof(f368,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f367,f103])).
% 0.15/0.34 fof(f397,plain,(
% 0.15/0.34 ![X0]: (~member(X0,power_set(sk0_11))|~member(sk0_3(range_of(sk0_12)),X0)|spl0_7)),
% 0.15/0.34 inference(resolution,[status(thm)],[f368,f211])).
% 0.15/0.34 fof(f434,plain,(
% 0.15/0.34 ~empty(range_of(sk0_12))|spl0_2),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f209,f148])).
% 0.15/0.34 fof(f441,plain,(
% 0.15/0.34 spl0_28 <=> empty(range_of(sk0_12))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f442,plain,(
% 0.15/0.34 empty(range_of(sk0_12))|~spl0_28),
% 0.15/0.34 inference(component_clause,[status(thm)],[f441])).
% 0.15/0.34 fof(f444,plain,(
% 0.15/0.34 ~member(range_of(sk0_12),power_set(sk0_11))|empty(range_of(sk0_12))|spl0_7),
% 0.15/0.34 inference(resolution,[status(thm)],[f397,f145])).
% 0.15/0.34 fof(f445,plain,(
% 0.15/0.34 ~spl0_19|spl0_28|spl0_7),
% 0.15/0.34 inference(split_clause,[status(thm)],[f444,f325,f441,f176])).
% 0.15/0.34 fof(f447,plain,(
% 0.15/0.34 $false|~spl0_6),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f174,f108])).
% 0.15/0.34 fof(f448,plain,(
% 0.15/0.34 ~spl0_6),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f447])).
% 0.15/0.34 fof(f449,plain,(
% 0.15/0.34 $false|spl0_2|~spl0_28),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f442,f434])).
% 0.15/0.34 fof(f450,plain,(
% 0.15/0.34 spl0_2|~spl0_28),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f449])).
% 0.15/0.34 fof(f547,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f92,f103])).
% 0.15/0.34 fof(f548,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.15/0.34 inference(resolution,[status(thm)],[f547,f103])).
% 0.15/0.34 fof(f560,plain,(
% 0.15/0.34 ![X0,X1,X2]: (relation_like(X0)|~ilf_type(X0,relation_type(X1,X2)))),
% 0.15/0.34 inference(resolution,[status(thm)],[f548,f365])).
% 0.15/0.34 fof(f574,plain,(
% 0.15/0.34 relation_like(sk0_12)),
% 0.15/0.34 inference(resolution,[status(thm)],[f560,f110])).
% 0.15/0.34 fof(f575,plain,(
% 0.15/0.34 $false|spl0_9),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f574,f227])).
% 0.15/0.34 fof(f576,plain,(
% 0.15/0.34 spl0_9),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f575])).
% 0.15/0.34 fof(f582,plain,(
% 0.15/0.34 $false|~spl0_10),
% 0.15/0.34 inference(backward_subsumption_resolution,[status(thm)],[f195,f221])).
% 0.15/0.34 fof(f583,plain,(
% 0.15/0.34 ~spl0_10),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f582])).
% 0.15/0.34 fof(f584,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(sat_refutation,[status(thm)],[f153,f180,f224,f243,f329,f445,f448,f450,f576,f583])).
% 0.15/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.033167 seconds
% 0.15/0.34 % CPU time: 0.024035 seconds
% 0.15/0.34 % Memory used: 3.268 MB
%------------------------------------------------------------------------------