TSTP Solution File: SET655+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:40:06 EDT 2024
% Result : Theorem 31.56s 4.38s
% Output : CNFRefutation 31.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 21:32:21 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 31.56/4.38 % Refutation found
% 31.56/4.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 31.56/4.38 % SZS output start CNFRefutation for theBenchmark
% 31.56/4.38 fof(f2,axiom,(
% 31.56/4.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> ( ( subset(B,C)& subset(D,E) )=> subset(cross_product(B,D),cross_product(C,E)) ) ) )) )) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f3,axiom,(
% 31.56/4.38 (! [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))) ) )) ) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f5,axiom,(
% 31.56/4.38 (! [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) ) ) )) ) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f7,axiom,(
% 31.56/4.38 (! [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))) ) ) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f9,axiom,(
% 31.56/4.38 (! [B] :( ilf_type(B,set_type)=> subset(B,B) ) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f10,axiom,(
% 31.56/4.38 (! [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) ) ) )) ) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f11,axiom,(
% 31.56/4.38 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f12,axiom,(
% 31.56/4.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f19,axiom,(
% 31.56/4.38 (! [B] : ilf_type(B,set_type) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f20,conjecture,(
% 31.56/4.38 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,D))=> ( ( subset(B,C)& subset(D,E) )=> ilf_type(F,relation_type(C,E)) ) ) )) )) )) )) )),
% 31.56/4.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.56/4.38 fof(f21,negated_conjecture,(
% 31.56/4.38 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,D))=> ( ( subset(B,C)& subset(D,E) )=> ilf_type(F,relation_type(C,E)) ) ) )) )) )) )) ))),
% 31.56/4.38 inference(negated_conjecture,[status(cth)],[f20])).
% 31.56/4.38 fof(f24,plain,(
% 31.56/4.38 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|((~subset(B,C)|~subset(D,E))|subset(cross_product(B,D),cross_product(C,E))))))))))),
% 31.56/4.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 31.56/4.38 fof(f25,plain,(
% 31.56/4.38 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(cross_product(X0,X2),cross_product(X1,X3)))),
% 31.56/4.38 inference(cnf_transformation,[status(esa)],[f24])).
% 31.56/4.38 fof(f26,plain,(
% 31.56/4.38 ![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)))))))))),
% 31.56/4.38 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 31.56/4.38 fof(f27,plain,(
% 31.56/4.38 ![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)))),
% 31.56/4.38 inference(cnf_transformation,[status(esa)],[f26])).
% 31.56/4.38 fof(f28,plain,(
% 31.56/4.38 ![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))))),
% 31.56/4.38 inference(cnf_transformation,[status(esa)],[f26])).
% 31.56/4.39 fof(f32,plain,(
% 31.56/4.39 ![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))))))))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 31.56/4.39 fof(f33,plain,(
% 31.56/4.39 ![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)))))))))),
% 31.56/4.39 inference(NNF_transformation,[status(esa)],[f32])).
% 31.56/4.39 fof(f34,plain,(
% 31.56/4.39 ![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(sk0_1(C,B),set_type)&(member(sk0_1(C,B),B)&~member(sk0_1(C,B),C))))))))),
% 31.56/4.39 inference(skolemization,[status(esa)],[f33])).
% 31.56/4.39 fof(f35,plain,(
% 31.56/4.39 ![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))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f34])).
% 31.56/4.39 fof(f37,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sk0_1(X1,X0),X0))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f34])).
% 31.56/4.39 fof(f38,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sk0_1(X1,X0),X1))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f34])).
% 31.56/4.39 fof(f41,plain,(
% 31.56/4.39 ![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)))))))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 31.56/4.39 fof(f42,plain,(
% 31.56/4.39 ![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))))))))),
% 31.56/4.39 inference(NNF_transformation,[status(esa)],[f41])).
% 31.56/4.39 fof(f43,plain,(
% 31.56/4.39 ![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))))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f42])).
% 31.56/4.39 fof(f44,plain,(
% 31.56/4.39 ![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))))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f42])).
% 31.56/4.39 fof(f48,plain,(
% 31.56/4.39 ![B]: (~ilf_type(B,set_type)|subset(B,B))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 31.56/4.39 fof(f49,plain,(
% 31.56/4.39 ![X0]: (~ilf_type(X0,set_type)|subset(X0,X0))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f48])).
% 31.56/4.39 fof(f50,plain,(
% 31.56/4.39 ![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))))))))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 31.56/4.39 fof(f51,plain,(
% 31.56/4.39 ![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)))))))))),
% 31.56/4.39 inference(NNF_transformation,[status(esa)],[f50])).
% 31.56/4.39 fof(f52,plain,(
% 31.56/4.39 ![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_3(C,B),set_type)&(member(sk0_3(C,B),B)&~member(sk0_3(C,B),C))))))))),
% 31.56/4.39 inference(skolemization,[status(esa)],[f51])).
% 31.56/4.39 fof(f53,plain,(
% 31.56/4.39 ![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))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f52])).
% 31.56/4.39 fof(f55,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sk0_3(X1,X0),X0))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f52])).
% 31.56/4.39 fof(f56,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sk0_3(X1,X0),X1))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f52])).
% 31.56/4.39 fof(f57,plain,(
% 31.56/4.39 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 31.56/4.39 fof(f58,plain,(
% 31.56/4.39 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f57])).
% 31.56/4.39 fof(f60,plain,(
% 31.56/4.39 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 31.56/4.39 fof(f61,plain,(
% 31.56/4.39 ![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))))))),
% 31.56/4.39 inference(NNF_transformation,[status(esa)],[f60])).
% 31.56/4.39 fof(f62,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f61])).
% 31.56/4.39 fof(f63,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f61])).
% 31.56/4.39 fof(f88,plain,(
% 31.56/4.39 ![X0]: (ilf_type(X0,set_type))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f19])).
% 31.56/4.39 fof(f89,plain,(
% 31.56/4.39 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&(?[F]: (ilf_type(F,relation_type(B,D))&((subset(B,C)&subset(D,E))&~ilf_type(F,relation_type(C,E)))))))))))))),
% 31.56/4.39 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 31.56/4.39 fof(f90,plain,(
% 31.56/4.39 (ilf_type(sk0_9,set_type)&(ilf_type(sk0_10,set_type)&(ilf_type(sk0_11,set_type)&(ilf_type(sk0_12,set_type)&(ilf_type(sk0_13,relation_type(sk0_9,sk0_11))&((subset(sk0_9,sk0_10)&subset(sk0_11,sk0_12))&~ilf_type(sk0_13,relation_type(sk0_10,sk0_12))))))))),
% 31.56/4.39 inference(skolemization,[status(esa)],[f89])).
% 31.56/4.39 fof(f95,plain,(
% 31.56/4.39 ilf_type(sk0_13,relation_type(sk0_9,sk0_11))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f90])).
% 31.56/4.39 fof(f96,plain,(
% 31.56/4.39 subset(sk0_9,sk0_10)),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f90])).
% 31.56/4.39 fof(f97,plain,(
% 31.56/4.39 subset(sk0_11,sk0_12)),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f90])).
% 31.56/4.39 fof(f98,plain,(
% 31.56/4.39 ~ilf_type(sk0_13,relation_type(sk0_10,sk0_12))),
% 31.56/4.39 inference(cnf_transformation,[status(esa)],[f90])).
% 31.56/4.39 fof(f99,plain,(
% 31.56/4.39 ![X0]: (subset(X0,X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f49,f88])).
% 31.56/4.39 fof(f100,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f88])).
% 31.56/4.39 fof(f101,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f28,f88])).
% 31.56/4.39 fof(f102,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 31.56/4.39 inference(resolution,[status(thm)],[f101,f88])).
% 31.56/4.39 fof(f103,plain,(
% 31.56/4.39 ilf_type(sk0_13,subset_type(cross_product(sk0_9,sk0_11)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f102,f95])).
% 31.56/4.39 fof(f104,plain,(
% 31.56/4.39 spl0_0 <=> ilf_type(sk0_11,set_type)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f106,plain,(
% 31.56/4.39 ~ilf_type(sk0_11,set_type)|spl0_0),
% 31.56/4.39 inference(component_clause,[status(thm)],[f104])).
% 31.56/4.39 fof(f112,plain,(
% 31.56/4.39 $false|spl0_0),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f106,f88])).
% 31.56/4.39 fof(f113,plain,(
% 31.56/4.39 spl0_0),
% 31.56/4.39 inference(contradiction_clause,[status(thm)],[f112])).
% 31.56/4.39 fof(f115,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f35,f88])).
% 31.56/4.39 fof(f116,plain,(
% 31.56/4.39 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X3,X0)|~subset(X1,X2)|subset(cross_product(X3,X1),cross_product(X0,X2)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f88])).
% 31.56/4.39 fof(f120,plain,(
% 31.56/4.39 ![X0]: (~empty(power_set(X0)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f58,f88])).
% 31.56/4.39 fof(f137,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|member(sk0_1(X0,X1),X1))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f37,f88])).
% 31.56/4.39 fof(f138,plain,(
% 31.56/4.39 ![X0,X1]: (subset(X0,X1)|member(sk0_1(X1,X0),X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f137,f88])).
% 31.56/4.39 fof(f139,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|~member(sk0_1(X0,X1),X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f38,f88])).
% 31.56/4.39 fof(f142,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~ilf_type(X2,set_type)|~subset(X0,X2)|~ilf_type(sk0_1(X1,X0),set_type)|member(sk0_1(X1,X0),X2))),
% 31.56/4.39 inference(resolution,[status(thm)],[f138,f115])).
% 31.56/4.39 fof(f143,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~ilf_type(sk0_1(X1,X0),set_type)|member(sk0_1(X1,X0),X2))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f142,f88])).
% 31.56/4.39 fof(f150,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|member(sk0_1(X1,X0),X2))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f143,f88])).
% 31.56/4.39 fof(f151,plain,(
% 31.56/4.39 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X0,X2)|~ilf_type(X3,set_type)|~subset(X2,X3)|~ilf_type(sk0_1(X1,X0),set_type)|member(sk0_1(X1,X0),X3))),
% 31.56/4.39 inference(resolution,[status(thm)],[f150,f115])).
% 31.56/4.39 fof(f152,plain,(
% 31.56/4.39 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X3)|~ilf_type(sk0_1(X1,X0),set_type)|member(sk0_1(X1,X0),X3))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f151,f88])).
% 31.56/4.39 fof(f159,plain,(
% 31.56/4.39 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X3)|member(sk0_1(X1,X0),X3))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f152,f88])).
% 31.56/4.39 fof(f160,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X1)|~ilf_type(X1,set_type)|subset(X0,X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f159,f139])).
% 31.56/4.39 fof(f161,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X1)|~ilf_type(X1,set_type))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f160])).
% 31.56/4.39 fof(f162,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,X1)|~subset(X0,X2)|~subset(X2,X1))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f161,f88])).
% 31.56/4.39 fof(f308,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sk0_3(X0,X1),X1))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f55,f88])).
% 31.56/4.39 fof(f309,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|member(sk0_3(X1,X0),X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f308,f88])).
% 31.56/4.39 fof(f310,plain,(
% 31.56/4.39 ![X0,X1,X2]: (member(X0,power_set(X1))|~ilf_type(X2,set_type)|~subset(X0,X2)|~ilf_type(sk0_3(X1,X0),set_type)|member(sk0_3(X1,X0),X2))),
% 31.56/4.39 inference(resolution,[status(thm)],[f309,f115])).
% 31.56/4.39 fof(f311,plain,(
% 31.56/4.39 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X0,X2)|~ilf_type(sk0_3(X1,X0),set_type)|member(sk0_3(X1,X0),X2))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f310,f88])).
% 31.56/4.39 fof(f312,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sk0_3(X0,X1),X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f56,f88])).
% 31.56/4.39 fof(f313,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|~member(sk0_3(X1,X0),X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f312,f88])).
% 31.56/4.39 fof(f314,plain,(
% 31.56/4.39 ![X0]: (member(X0,power_set(X0))|member(X0,power_set(X0)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f313,f309])).
% 31.56/4.39 fof(f315,plain,(
% 31.56/4.39 ![X0]: (member(X0,power_set(X0)))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f314])).
% 31.56/4.39 fof(f367,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f43,f88])).
% 31.56/4.39 fof(f368,plain,(
% 31.56/4.39 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f44,f88])).
% 31.56/4.39 fof(f369,plain,(
% 31.56/4.39 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 31.56/4.39 inference(resolution,[status(thm)],[f368,f88])).
% 31.56/4.39 fof(f370,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f53,f88])).
% 31.56/4.39 fof(f371,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f370,f88])).
% 31.56/4.39 fof(f372,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f371,f88])).
% 31.56/4.39 fof(f379,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sk0_1(X1,X2),X0)|~ilf_type(X1,set_type)|subset(X2,X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f372,f139])).
% 31.56/4.39 fof(f380,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sk0_1(X1,X2),X0)|subset(X2,X1))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f379,f88])).
% 31.56/4.39 fof(f384,plain,(
% 31.56/4.39 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X0,X2)|member(sk0_3(X1,X0),X2))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f311,f88])).
% 31.56/4.39 fof(f385,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1)|member(X0,power_set(X1)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f384,f313])).
% 31.56/4.39 fof(f386,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f385])).
% 31.56/4.39 fof(f390,plain,(
% 31.56/4.39 ![X0,X1]: (~subset(sk0_1(power_set(X0),X1),X0)|~ilf_type(power_set(X0),set_type)|subset(X1,power_set(X0)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f386,f139])).
% 31.56/4.39 fof(f391,plain,(
% 31.56/4.39 ![X0,X1]: (~subset(sk0_1(power_set(X0),X1),X0)|subset(X1,power_set(X0)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f390,f88])).
% 31.56/4.39 fof(f405,plain,(
% 31.56/4.39 ![X0,X1,X2]: (subset(X0,power_set(X1))|~subset(sk0_1(power_set(X1),X0),X2)|~subset(X2,X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f391,f162])).
% 31.56/4.39 fof(f430,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~member(X0,power_set(X1))|subset(X2,X1)|subset(X2,X1)|~subset(X2,X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f380,f150])).
% 31.56/4.39 fof(f431,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~member(X0,power_set(X1))|subset(X2,X1)|~subset(X2,X0))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f430])).
% 31.56/4.39 fof(f432,plain,(
% 31.56/4.39 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f380,f138])).
% 31.56/4.39 fof(f433,plain,(
% 31.56/4.39 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f432])).
% 31.56/4.39 fof(f454,plain,(
% 31.56/4.39 ![X0,X1]: (subset(sk0_1(X0,power_set(X1)),X1)|subset(power_set(X1),X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f433,f138])).
% 31.56/4.39 fof(f856,plain,(
% 31.56/4.39 ![X0,X1]: (subset(power_set(X0),power_set(X1))|~subset(X0,X1)|subset(power_set(X0),power_set(X1)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f405,f454])).
% 31.56/4.39 fof(f857,plain,(
% 31.56/4.39 ![X0,X1]: (subset(power_set(X0),power_set(X1))|~subset(X0,X1))),
% 31.56/4.39 inference(duplicate_literals_removal,[status(esa)],[f856])).
% 31.56/4.39 fof(f1092,plain,(
% 31.56/4.39 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f62,f88])).
% 31.56/4.39 fof(f1093,plain,(
% 31.56/4.39 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1092,f88])).
% 31.56/4.39 fof(f1094,plain,(
% 31.56/4.39 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f63,f88])).
% 31.56/4.39 fof(f1095,plain,(
% 31.56/4.39 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1094,f88])).
% 31.56/4.39 fof(f1098,plain,(
% 31.56/4.39 ![X0,X1]: (empty(power_set(X0))|member(X1,power_set(X0))|~ilf_type(X1,set_type)|~ilf_type(X1,subset_type(X0)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1093,f367])).
% 31.56/4.39 fof(f1099,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1098,f120])).
% 31.56/4.39 fof(f1104,plain,(
% 31.56/4.39 ![X0,X1]: (empty(power_set(X0))|~member(X1,power_set(X0))|ilf_type(X1,subset_type(X0)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1095,f369])).
% 31.56/4.39 fof(f1105,plain,(
% 31.56/4.39 ![X0,X1]: (~member(X0,power_set(X1))|ilf_type(X0,subset_type(X1)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1104,f120])).
% 31.56/4.39 fof(f1160,plain,(
% 31.56/4.39 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~subset(X0,X1))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1105,f386])).
% 31.56/4.39 fof(f1171,plain,(
% 31.56/4.39 ![X0,X1]: (member(X0,power_set(X1))|~ilf_type(X0,subset_type(X1)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1099,f88])).
% 31.56/4.39 fof(f1175,plain,(
% 31.56/4.39 member(sk0_13,power_set(cross_product(sk0_9,sk0_11)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1171,f103])).
% 31.56/4.39 fof(f1178,plain,(
% 31.56/4.39 spl0_2 <=> ~ilf_type(X0,set_type)|~subset(power_set(cross_product(sk0_9,sk0_11)),X0)|member(sk0_13,X0)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f1179,plain,(
% 31.56/4.39 ![X0]: (~ilf_type(X0,set_type)|~subset(power_set(cross_product(sk0_9,sk0_11)),X0)|member(sk0_13,X0)|~spl0_2)),
% 31.56/4.39 inference(component_clause,[status(thm)],[f1178])).
% 31.56/4.39 fof(f1181,plain,(
% 31.56/4.39 spl0_3 <=> ilf_type(sk0_13,set_type)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f1183,plain,(
% 31.56/4.39 ~ilf_type(sk0_13,set_type)|spl0_3),
% 31.56/4.39 inference(component_clause,[status(thm)],[f1181])).
% 31.56/4.39 fof(f1184,plain,(
% 31.56/4.39 ![X0]: (~ilf_type(X0,set_type)|~subset(power_set(cross_product(sk0_9,sk0_11)),X0)|~ilf_type(sk0_13,set_type)|member(sk0_13,X0))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1175,f115])).
% 31.56/4.39 fof(f1185,plain,(
% 31.56/4.39 spl0_2|~spl0_3),
% 31.56/4.39 inference(split_clause,[status(thm)],[f1184,f1178,f1181])).
% 31.56/4.39 fof(f1186,plain,(
% 31.56/4.39 $false|spl0_3),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1183,f88])).
% 31.56/4.39 fof(f1187,plain,(
% 31.56/4.39 spl0_3),
% 31.56/4.39 inference(contradiction_clause,[status(thm)],[f1186])).
% 31.56/4.39 fof(f1188,plain,(
% 31.56/4.39 ![X0]: (~subset(power_set(cross_product(sk0_9,sk0_11)),X0)|member(sk0_13,X0)|~spl0_2)),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1179,f88])).
% 31.56/4.39 fof(f1189,plain,(
% 31.56/4.39 ![X0]: (member(sk0_13,power_set(X0))|~subset(cross_product(sk0_9,sk0_11),X0)|~spl0_2)),
% 31.56/4.39 inference(resolution,[status(thm)],[f1188,f857])).
% 31.56/4.39 fof(f1227,plain,(
% 31.56/4.39 ![X0,X1]: (member(sk0_13,power_set(X0))|~member(X1,power_set(X0))|~subset(cross_product(sk0_9,sk0_11),X1)|~spl0_2)),
% 31.56/4.39 inference(resolution,[status(thm)],[f1189,f431])).
% 31.56/4.39 fof(f1395,plain,(
% 31.56/4.39 ![X0,X1]: (~member(X0,power_set(X1))|~subset(cross_product(sk0_9,sk0_11),X0)|subset(sk0_13,X1)|~spl0_2)),
% 31.56/4.39 inference(resolution,[status(thm)],[f1227,f433])).
% 31.56/4.39 fof(f1429,plain,(
% 31.56/4.39 ![X0]: (~member(cross_product(sk0_9,sk0_11),power_set(X0))|subset(sk0_13,X0)|~spl0_2)),
% 31.56/4.39 inference(resolution,[status(thm)],[f1395,f99])).
% 31.56/4.39 fof(f1437,plain,(
% 31.56/4.39 subset(sk0_13,cross_product(sk0_9,sk0_11))|~spl0_2),
% 31.56/4.39 inference(resolution,[status(thm)],[f1429,f315])).
% 31.56/4.39 fof(f1727,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~subset(X0,cross_product(X1,X2))|~ilf_type(X2,set_type)|ilf_type(X0,relation_type(X1,X2)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1160,f100])).
% 31.56/4.39 fof(f1728,plain,(
% 31.56/4.39 ![X0,X1,X2]: (~subset(X0,cross_product(X1,X2))|ilf_type(X0,relation_type(X1,X2)))),
% 31.56/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1727,f88])).
% 31.56/4.39 fof(f1767,plain,(
% 31.56/4.39 ![X0,X1,X2,X3]: (ilf_type(X0,relation_type(X1,X2))|~subset(X0,X3)|~subset(X3,cross_product(X1,X2)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1728,f162])).
% 31.56/4.39 fof(f1769,plain,(
% 31.56/4.39 ![X0]: (~subset(sk0_13,X0)|~subset(X0,cross_product(sk0_10,sk0_12)))),
% 31.56/4.39 inference(resolution,[status(thm)],[f1767,f98])).
% 31.56/4.39 fof(f1866,plain,(
% 31.56/4.39 ~subset(cross_product(sk0_9,sk0_11),cross_product(sk0_10,sk0_12))|~spl0_2),
% 31.56/4.39 inference(resolution,[status(thm)],[f1769,f1437])).
% 31.56/4.39 fof(f2327,plain,(
% 31.56/4.39 spl0_41 <=> ilf_type(sk0_10,set_type)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f2329,plain,(
% 31.56/4.39 ~ilf_type(sk0_10,set_type)|spl0_41),
% 31.56/4.39 inference(component_clause,[status(thm)],[f2327])).
% 31.56/4.39 fof(f2330,plain,(
% 31.56/4.39 spl0_42 <=> ilf_type(sk0_12,set_type)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f2332,plain,(
% 31.56/4.39 ~ilf_type(sk0_12,set_type)|spl0_42),
% 31.56/4.39 inference(component_clause,[status(thm)],[f2330])).
% 31.56/4.39 fof(f2333,plain,(
% 31.56/4.39 spl0_43 <=> subset(sk0_9,sk0_10)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f2335,plain,(
% 31.56/4.39 ~subset(sk0_9,sk0_10)|spl0_43),
% 31.56/4.39 inference(component_clause,[status(thm)],[f2333])).
% 31.56/4.39 fof(f2336,plain,(
% 31.56/4.39 spl0_44 <=> subset(sk0_11,sk0_12)),
% 31.56/4.39 introduced(split_symbol_definition)).
% 31.56/4.39 fof(f2338,plain,(
% 31.56/4.39 ~subset(sk0_11,sk0_12)|spl0_44),
% 31.56/4.39 inference(component_clause,[status(thm)],[f2336])).
% 31.56/4.39 fof(f2339,plain,(
% 31.56/4.39 ~ilf_type(sk0_10,set_type)|~ilf_type(sk0_11,set_type)|~ilf_type(sk0_12,set_type)|~subset(sk0_9,sk0_10)|~subset(sk0_11,sk0_12)|~spl0_2),
% 31.56/4.39 inference(resolution,[status(thm)],[f1866,f116])).
% 31.56/4.39 fof(f2340,plain,(
% 31.56/4.39 ~spl0_41|~spl0_0|~spl0_42|~spl0_43|~spl0_44|~spl0_2),
% 31.99/4.44 inference(split_clause,[status(thm)],[f2339,f2327,f104,f2330,f2333,f2336,f1178])).
% 31.99/4.44 fof(f2362,plain,(
% 31.99/4.44 $false|spl0_44),
% 31.99/4.44 inference(forward_subsumption_resolution,[status(thm)],[f2338,f97])).
% 31.99/4.44 fof(f2363,plain,(
% 31.99/4.44 spl0_44),
% 31.99/4.44 inference(contradiction_clause,[status(thm)],[f2362])).
% 31.99/4.44 fof(f2364,plain,(
% 31.99/4.44 $false|spl0_43),
% 31.99/4.44 inference(forward_subsumption_resolution,[status(thm)],[f2335,f96])).
% 31.99/4.44 fof(f2365,plain,(
% 31.99/4.44 spl0_43),
% 31.99/4.44 inference(contradiction_clause,[status(thm)],[f2364])).
% 31.99/4.44 fof(f2366,plain,(
% 31.99/4.44 $false|spl0_41),
% 31.99/4.44 inference(forward_subsumption_resolution,[status(thm)],[f2329,f88])).
% 31.99/4.44 fof(f2367,plain,(
% 31.99/4.44 spl0_41),
% 31.99/4.44 inference(contradiction_clause,[status(thm)],[f2366])).
% 31.99/4.44 fof(f2368,plain,(
% 31.99/4.44 $false|spl0_42),
% 31.99/4.44 inference(forward_subsumption_resolution,[status(thm)],[f2332,f88])).
% 31.99/4.44 fof(f2369,plain,(
% 31.99/4.44 spl0_42),
% 31.99/4.44 inference(contradiction_clause,[status(thm)],[f2368])).
% 31.99/4.44 fof(f2370,plain,(
% 31.99/4.44 $false),
% 31.99/4.44 inference(sat_refutation,[status(thm)],[f113,f1185,f1187,f2340,f2363,f2365,f2367,f2369])).
% 31.99/4.44 % SZS output end CNFRefutation for theBenchmark.p
% 31.99/4.44 % Elapsed time: 4.082688 seconds
% 31.99/4.44 % CPU time: 32.201654 seconds
% 31.99/4.44 % Total memory used: 237.672 MB
% 31.99/4.44 % Net memory used: 227.999 MB
%------------------------------------------------------------------------------