TSTP Solution File: SET640+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET640+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 12:34:54 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET640+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 : Tue May 30 10:28:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.53 fof(f4,axiom,(
% 0.20/0.53 (! [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))) ) )) ) )) )),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f6,axiom,(
% 0.20/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( subset(B,C)<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f8,axiom,(
% 0.20/0.53 (! [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))) ) ) )) )),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f11,axiom,(
% 0.20/0.53 (! [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) ) ) )) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f12,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f13,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f19,axiom,(
% 0.20/0.54 (! [B] : ilf_type(B,set_type) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f20,conjecture,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> subset(B,cross_product(C,D)) ) ) )) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f21,negated_conjecture,(
% 0.20/0.54 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(C,D))=> ( subset(B,E)=> subset(B,cross_product(C,D)) ) ) )) )) )) ))),
% 0.20/0.54 inference(negated_conjecture,[status(cth)],[f20])).
% 0.20/0.54 fof(f35,plain,(
% 0.20/0.54 ![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)))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.54 fof(f37,plain,(
% 0.20/0.54 ![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))))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f35])).
% 0.20/0.54 fof(f41,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(subset(B,C)<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.54 fof(f42,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(esa)],[f41])).
% 0.20/0.54 fof(f43,plain,(
% 0.20/0.54 ![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_3(C,B),set_type)&(member(sk0_3(C,B),B)&~member(sk0_3(C,B),C))))))))),
% 0.20/0.54 inference(skolemization,[status(esa)],[f42])).
% 0.20/0.54 fof(f44,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f43])).
% 0.20/0.54 fof(f46,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sk0_3(X1,X0),X0))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f43])).
% 0.20/0.54 fof(f47,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sk0_3(X1,X0),X1))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f43])).
% 0.20/0.54 fof(f50,plain,(
% 0.20/0.54 ![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)))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.20/0.54 fof(f51,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(esa)],[f50])).
% 0.20/0.54 fof(f52,plain,(
% 0.20/0.54 ![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))))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f51])).
% 0.20/0.54 fof(f59,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.20/0.54 fof(f60,plain,(
% 0.20/0.54 ![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)))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(esa)],[f59])).
% 0.20/0.54 fof(f61,plain,(
% 0.20/0.54 ![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_5(C,B),set_type)&(member(sk0_5(C,B),B)&~member(sk0_5(C,B),C))))))))),
% 0.20/0.54 inference(skolemization,[status(esa)],[f60])).
% 0.20/0.54 fof(f62,plain,(
% 0.20/0.54 ![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))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.54 fof(f66,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.20/0.54 fof(f67,plain,(
% 0.20/0.54 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f66])).
% 0.20/0.54 fof(f69,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.54 fof(f70,plain,(
% 0.20/0.54 ![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))))))),
% 0.20/0.54 inference(NNF_transformation,[status(esa)],[f69])).
% 0.20/0.54 fof(f71,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f70])).
% 0.20/0.54 fof(f95,plain,(
% 0.20/0.54 ![X0]: (ilf_type(X0,set_type))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.54 fof(f96,plain,(
% 0.20/0.54 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(C,D))&(subset(B,E)&~subset(B,cross_product(C,D)))))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.20/0.54 fof(f97,plain,(
% 0.20/0.54 (ilf_type(sk0_11,set_type)&(ilf_type(sk0_12,set_type)&(ilf_type(sk0_13,set_type)&(ilf_type(sk0_14,relation_type(sk0_12,sk0_13))&(subset(sk0_11,sk0_14)&~subset(sk0_11,cross_product(sk0_12,sk0_13)))))))),
% 0.20/0.54 inference(skolemization,[status(esa)],[f96])).
% 0.20/0.54 fof(f101,plain,(
% 0.20/0.54 ilf_type(sk0_14,relation_type(sk0_12,sk0_13))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f97])).
% 0.20/0.54 fof(f102,plain,(
% 0.20/0.54 subset(sk0_11,sk0_14)),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f97])).
% 0.20/0.54 fof(f103,plain,(
% 0.20/0.54 ~subset(sk0_11,cross_product(sk0_12,sk0_13))),
% 0.20/0.54 inference(cnf_transformation,[status(esa)],[f97])).
% 0.20/0.54 fof(f106,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f37,f95])).
% 0.20/0.54 fof(f107,plain,(
% 0.20/0.54 spl0_0 <=> ilf_type(sk0_13,set_type)),
% 0.20/0.54 introduced(split_symbol_definition)).
% 0.20/0.54 fof(f109,plain,(
% 0.20/0.54 ~ilf_type(sk0_13,set_type)|spl0_0),
% 0.20/0.54 inference(component_clause,[status(thm)],[f107])).
% 0.20/0.54 fof(f110,plain,(
% 0.97/0.55 spl0_1 <=> ilf_type(sk0_14,subset_type(cross_product(sk0_12,sk0_13)))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f111,plain,(
% 0.97/0.55 ilf_type(sk0_14,subset_type(cross_product(sk0_12,sk0_13)))|~spl0_1),
% 0.97/0.55 inference(component_clause,[status(thm)],[f110])).
% 0.97/0.55 fof(f113,plain,(
% 0.97/0.55 ~ilf_type(sk0_13,set_type)|ilf_type(sk0_14,subset_type(cross_product(sk0_12,sk0_13)))),
% 0.97/0.55 inference(resolution,[status(thm)],[f106,f101])).
% 0.97/0.55 fof(f114,plain,(
% 0.97/0.55 ~spl0_0|spl0_1),
% 0.97/0.55 inference(split_clause,[status(thm)],[f113,f107,f110])).
% 0.97/0.55 fof(f115,plain,(
% 0.97/0.55 $false|spl0_0),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f109,f95])).
% 0.97/0.55 fof(f116,plain,(
% 0.97/0.55 spl0_0),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f115])).
% 0.97/0.55 fof(f123,plain,(
% 0.97/0.55 spl0_3 <=> ilf_type(sk0_14,set_type)),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f125,plain,(
% 0.97/0.55 ~ilf_type(sk0_14,set_type)|spl0_3),
% 0.97/0.55 inference(component_clause,[status(thm)],[f123])).
% 0.97/0.55 fof(f131,plain,(
% 0.97/0.55 $false|spl0_3),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f125,f95])).
% 0.97/0.55 fof(f132,plain,(
% 0.97/0.55 spl0_3),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f131])).
% 0.97/0.55 fof(f135,plain,(
% 0.97/0.55 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f44,f95])).
% 0.97/0.55 fof(f136,plain,(
% 0.97/0.55 spl0_5 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_11)|member(X0,sk0_14)),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f137,plain,(
% 0.97/0.55 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_11)|member(X0,sk0_14)|~spl0_5)),
% 0.97/0.55 inference(component_clause,[status(thm)],[f136])).
% 0.97/0.55 fof(f139,plain,(
% 0.97/0.55 ![X0]: (~ilf_type(sk0_14,set_type)|~ilf_type(X0,set_type)|~member(X0,sk0_11)|member(X0,sk0_14))),
% 0.97/0.55 inference(resolution,[status(thm)],[f135,f102])).
% 0.97/0.55 fof(f140,plain,(
% 0.97/0.55 ~spl0_3|spl0_5),
% 0.97/0.55 inference(split_clause,[status(thm)],[f139,f123,f136])).
% 0.97/0.55 fof(f141,plain,(
% 0.97/0.55 ![X0]: (~member(X0,sk0_11)|member(X0,sk0_14)|~spl0_5)),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f137,f95])).
% 0.97/0.55 fof(f142,plain,(
% 0.97/0.55 ![X0]: (~empty(power_set(X0)))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f67,f95])).
% 0.97/0.55 fof(f401,plain,(
% 0.97/0.55 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|member(sk0_3(X0,X1),X1))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f46,f95])).
% 0.97/0.55 fof(f402,plain,(
% 0.97/0.55 ![X0,X1]: (subset(X0,X1)|member(sk0_3(X1,X0),X0))),
% 0.97/0.55 inference(resolution,[status(thm)],[f401,f95])).
% 0.97/0.55 fof(f405,plain,(
% 0.97/0.55 ![X0]: (subset(sk0_11,X0)|member(sk0_3(X0,sk0_11),sk0_14)|~spl0_5)),
% 0.97/0.55 inference(resolution,[status(thm)],[f402,f141])).
% 0.97/0.55 fof(f452,plain,(
% 0.97/0.55 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|~member(sk0_3(X0,X1),X0))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f47,f95])).
% 0.97/0.55 fof(f500,plain,(
% 0.97/0.55 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f71,f95])).
% 0.97/0.55 fof(f620,plain,(
% 0.97/0.55 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f52,f95])).
% 0.97/0.55 fof(f625,plain,(
% 0.97/0.55 spl0_33 <=> ilf_type(sk0_14,member_type(power_set(cross_product(sk0_12,sk0_13))))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f626,plain,(
% 0.97/0.55 ilf_type(sk0_14,member_type(power_set(cross_product(sk0_12,sk0_13))))|~spl0_33),
% 0.97/0.55 inference(component_clause,[status(thm)],[f625])).
% 0.97/0.55 fof(f628,plain,(
% 0.97/0.55 ~ilf_type(sk0_14,set_type)|ilf_type(sk0_14,member_type(power_set(cross_product(sk0_12,sk0_13))))|~spl0_1),
% 0.97/0.55 inference(resolution,[status(thm)],[f620,f111])).
% 0.97/0.55 fof(f629,plain,(
% 0.97/0.55 ~spl0_3|spl0_33|~spl0_1),
% 0.97/0.55 inference(split_clause,[status(thm)],[f628,f123,f625,f110])).
% 0.97/0.55 fof(f634,plain,(
% 0.97/0.55 spl0_34 <=> empty(power_set(cross_product(sk0_12,sk0_13)))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f635,plain,(
% 0.97/0.55 empty(power_set(cross_product(sk0_12,sk0_13)))|~spl0_34),
% 0.97/0.55 inference(component_clause,[status(thm)],[f634])).
% 0.97/0.55 fof(f637,plain,(
% 0.97/0.55 spl0_35 <=> ilf_type(power_set(cross_product(sk0_12,sk0_13)),set_type)),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f639,plain,(
% 0.97/0.55 ~ilf_type(power_set(cross_product(sk0_12,sk0_13)),set_type)|spl0_35),
% 0.97/0.55 inference(component_clause,[status(thm)],[f637])).
% 0.97/0.55 fof(f640,plain,(
% 0.97/0.55 spl0_36 <=> member(sk0_14,power_set(cross_product(sk0_12,sk0_13)))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f641,plain,(
% 0.97/0.55 member(sk0_14,power_set(cross_product(sk0_12,sk0_13)))|~spl0_36),
% 0.97/0.55 inference(component_clause,[status(thm)],[f640])).
% 0.97/0.55 fof(f643,plain,(
% 0.97/0.55 empty(power_set(cross_product(sk0_12,sk0_13)))|~ilf_type(power_set(cross_product(sk0_12,sk0_13)),set_type)|member(sk0_14,power_set(cross_product(sk0_12,sk0_13)))|~spl0_33),
% 0.97/0.55 inference(resolution,[status(thm)],[f626,f500])).
% 0.97/0.55 fof(f644,plain,(
% 0.97/0.55 spl0_34|~spl0_35|spl0_36|~spl0_33),
% 0.97/0.55 inference(split_clause,[status(thm)],[f643,f634,f637,f640,f625])).
% 0.97/0.55 fof(f645,plain,(
% 0.97/0.55 $false|spl0_35),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f639,f95])).
% 0.97/0.55 fof(f646,plain,(
% 0.97/0.55 spl0_35),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f645])).
% 0.97/0.55 fof(f647,plain,(
% 0.97/0.55 $false|~spl0_34),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f635,f142])).
% 0.97/0.55 fof(f648,plain,(
% 0.97/0.55 ~spl0_34),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f647])).
% 0.97/0.55 fof(f750,plain,(
% 0.97/0.55 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f62,f95])).
% 0.97/0.55 fof(f755,plain,(
% 0.97/0.55 spl0_38 <=> ilf_type(cross_product(sk0_12,sk0_13),set_type)),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f757,plain,(
% 0.97/0.55 ~ilf_type(cross_product(sk0_12,sk0_13),set_type)|spl0_38),
% 0.97/0.55 inference(component_clause,[status(thm)],[f755])).
% 0.97/0.55 fof(f758,plain,(
% 0.97/0.55 spl0_39 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_12,sk0_13))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f759,plain,(
% 0.97/0.55 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_12,sk0_13))|~spl0_39)),
% 0.97/0.55 inference(component_clause,[status(thm)],[f758])).
% 0.97/0.55 fof(f761,plain,(
% 0.97/0.55 ![X0]: (~ilf_type(cross_product(sk0_12,sk0_13),set_type)|~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_12,sk0_13))|~spl0_36)),
% 0.97/0.55 inference(resolution,[status(thm)],[f750,f641])).
% 0.97/0.55 fof(f762,plain,(
% 0.97/0.55 ~spl0_38|spl0_39|~spl0_36),
% 0.97/0.55 inference(split_clause,[status(thm)],[f761,f755,f758,f640])).
% 0.97/0.55 fof(f783,plain,(
% 0.97/0.55 $false|spl0_38),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f757,f95])).
% 0.97/0.55 fof(f784,plain,(
% 0.97/0.55 spl0_38),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f783])).
% 0.97/0.55 fof(f785,plain,(
% 0.97/0.55 ![X0]: (~member(X0,sk0_14)|member(X0,cross_product(sk0_12,sk0_13))|~spl0_39)),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f759,f95])).
% 0.97/0.55 fof(f932,plain,(
% 0.97/0.55 ![X0]: (member(sk0_3(X0,sk0_11),cross_product(sk0_12,sk0_13))|subset(sk0_11,X0)|~spl0_39|~spl0_5)),
% 0.97/0.55 inference(resolution,[status(thm)],[f785,f405])).
% 0.97/0.55 fof(f1315,plain,(
% 0.97/0.55 spl0_114 <=> subset(sk0_11,cross_product(sk0_12,sk0_13))),
% 0.97/0.55 introduced(split_symbol_definition)).
% 0.97/0.55 fof(f1316,plain,(
% 0.97/0.55 subset(sk0_11,cross_product(sk0_12,sk0_13))|~spl0_114),
% 0.97/0.55 inference(component_clause,[status(thm)],[f1315])).
% 0.97/0.55 fof(f1318,plain,(
% 0.97/0.55 subset(sk0_11,cross_product(sk0_12,sk0_13))|~ilf_type(cross_product(sk0_12,sk0_13),set_type)|subset(sk0_11,cross_product(sk0_12,sk0_13))|~spl0_39|~spl0_5),
% 0.97/0.55 inference(resolution,[status(thm)],[f932,f452])).
% 0.97/0.55 fof(f1319,plain,(
% 0.97/0.55 spl0_114|~spl0_38|~spl0_39|~spl0_5),
% 0.97/0.55 inference(split_clause,[status(thm)],[f1318,f1315,f755,f758,f136])).
% 0.97/0.55 fof(f1349,plain,(
% 0.97/0.55 $false|~spl0_114),
% 0.97/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1316,f103])).
% 0.97/0.55 fof(f1350,plain,(
% 0.97/0.55 ~spl0_114),
% 0.97/0.55 inference(contradiction_clause,[status(thm)],[f1349])).
% 0.97/0.55 fof(f1351,plain,(
% 0.97/0.55 $false),
% 0.97/0.55 inference(sat_refutation,[status(thm)],[f114,f116,f132,f140,f629,f644,f646,f648,f762,f784,f1319,f1350])).
% 0.97/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.97/0.56 % Elapsed time: 0.204251 seconds
% 0.97/0.56 % CPU time: 1.069498 seconds
% 0.97/0.56 % Memory used: 55.672 MB
%------------------------------------------------------------------------------