TSTP Solution File: SEU321+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:36:41 EDT 2023
% Result : Theorem 0.10s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:15:51 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.33 % Refutation found
% 0.10/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.33 fof(f2,axiom,(
% 0.10/0.33 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f19,axiom,(
% 0.10/0.33 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f20,axiom,(
% 0.10/0.33 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f23,axiom,(
% 0.10/0.33 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f25,axiom,(
% 0.10/0.33 (! [A] :(? [B] : element(B,A) ))),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f28,axiom,(
% 0.10/0.33 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f32,axiom,(
% 0.10/0.33 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f33,axiom,(
% 0.10/0.33 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f34,axiom,(
% 0.10/0.33 ( empty(empty_set)& v1_membered(empty_set)& v2_membered(empty_set)& v3_membered(empty_set)& v4_membered(empty_set)& v5_membered(empty_set) ) ),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f35,axiom,(
% 0.10/0.33 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f37,axiom,(
% 0.10/0.33 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f38,axiom,(
% 0.10/0.33 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f39,axiom,(
% 0.10/0.33 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f40,conjecture,(
% 0.10/0.33 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( in(C,subset_complement(the_carrier(A),B))<=> ~ in(C,B) ) ) )) )) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f41,negated_conjecture,(
% 0.10/0.33 ~((! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( in(C,subset_complement(the_carrier(A),B))<=> ~ in(C,B) ) ) )) )) ))),
% 0.10/0.33 inference(negated_conjecture,[status(cth)],[f40])).
% 0.10/0.33 fof(f42,axiom,(
% 0.10/0.33 (! [A] :( A != empty_set=> (! [B] :( element(B,powerset(A))=> (! [C] :( element(C,A)=> ( ~ in(C,B)=> in(C,subset_complement(A,B)) ) ) )) )) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f43,axiom,(
% 0.10/0.33 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 0.10/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.33 fof(f46,plain,(
% 0.10/0.33 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.33 fof(f47,plain,(
% 0.10/0.33 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sk0_0(A),powerset(the_carrier(A)))&~empty(sk0_0(A))))),
% 0.10/0.33 inference(skolemization,[status(esa)],[f46])).
% 0.10/0.33 fof(f48,plain,(
% 0.10/0.33 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sk0_0(X0),powerset(the_carrier(X0))))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.33 fof(f49,plain,(
% 0.10/0.33 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(sk0_0(X0)))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f47])).
% 0.10/0.33 fof(f111,plain,(
% 0.10/0.33 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.10/0.33 fof(f112,plain,(
% 0.10/0.33 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f111])).
% 0.10/0.33 fof(f113,plain,(
% 0.10/0.33 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.10/0.33 fof(f114,plain,(
% 0.10/0.33 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.10/0.33 inference(miniscoping,[status(esa)],[f113])).
% 0.10/0.33 fof(f115,plain,(
% 0.10/0.33 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f114])).
% 0.10/0.33 fof(f121,plain,(
% 0.10/0.33 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.10/0.33 fof(f122,plain,(
% 0.10/0.33 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f121])).
% 0.10/0.33 fof(f125,plain,(
% 0.10/0.33 ![A]: element(sk0_3(A),A)),
% 0.10/0.33 inference(skolemization,[status(esa)],[f25])).
% 0.10/0.33 fof(f126,plain,(
% 0.10/0.33 ![X0]: (element(sk0_3(X0),X0))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f125])).
% 0.10/0.33 fof(f127,plain,(
% 0.10/0.33 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.10/0.33 fof(f128,plain,(
% 0.10/0.33 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f127])).
% 0.10/0.33 fof(f129,plain,(
% 0.10/0.33 (one_sorted_str(sk0_4)&~empty_carrier(sk0_4))),
% 0.10/0.33 inference(skolemization,[status(esa)],[f32])).
% 0.10/0.33 fof(f130,plain,(
% 0.10/0.33 one_sorted_str(sk0_4)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.10/0.33 fof(f131,plain,(
% 0.10/0.33 ~empty_carrier(sk0_4)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f129])).
% 0.10/0.33 fof(f132,plain,(
% 0.10/0.33 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.10/0.33 fof(f133,plain,(
% 0.10/0.33 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f132])).
% 0.10/0.33 fof(f134,plain,(
% 0.10/0.33 empty(empty_set)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f34])).
% 0.10/0.33 fof(f140,plain,(
% 0.10/0.33 ![A,B]: (~in(A,B)|element(A,B))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.10/0.33 fof(f141,plain,(
% 0.10/0.33 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f140])).
% 0.10/0.33 fof(f146,plain,(
% 0.10/0.33 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.10/0.33 fof(f147,plain,(
% 0.10/0.33 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.10/0.33 inference(miniscoping,[status(esa)],[f146])).
% 0.10/0.33 fof(f148,plain,(
% 0.10/0.33 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f147])).
% 0.10/0.33 fof(f149,plain,(
% 0.10/0.33 ![A]: (~empty(A)|A=empty_set)),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.10/0.33 fof(f150,plain,(
% 0.10/0.33 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f149])).
% 0.10/0.33 fof(f151,plain,(
% 0.10/0.33 ![A,B]: (~in(A,B)|~empty(B))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.10/0.33 fof(f152,plain,(
% 0.10/0.33 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.10/0.33 inference(miniscoping,[status(esa)],[f151])).
% 0.10/0.33 fof(f153,plain,(
% 0.10/0.33 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f152])).
% 0.10/0.33 fof(f154,plain,(
% 0.10/0.33 (?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&(?[C]: (element(C,the_carrier(A))&(in(C,subset_complement(the_carrier(A),B))<~>~in(C,B))))))))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.10/0.33 fof(f155,plain,(
% 0.10/0.33 ?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&(?[C]: (element(C,the_carrier(A))&((in(C,subset_complement(the_carrier(A),B))|~in(C,B))&(~in(C,subset_complement(the_carrier(A),B))|in(C,B))))))))),
% 0.10/0.33 inference(NNF_transformation,[status(esa)],[f154])).
% 0.10/0.33 fof(f156,plain,(
% 0.10/0.33 ((~empty_carrier(sk0_5)&one_sorted_str(sk0_5))&(element(sk0_6,powerset(the_carrier(sk0_5)))&(element(sk0_7,the_carrier(sk0_5))&((in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|~in(sk0_7,sk0_6))&(~in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|in(sk0_7,sk0_6))))))),
% 0.10/0.33 inference(skolemization,[status(esa)],[f155])).
% 0.10/0.33 fof(f157,plain,(
% 0.10/0.33 ~empty_carrier(sk0_5)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f158,plain,(
% 0.10/0.33 one_sorted_str(sk0_5)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f159,plain,(
% 0.10/0.33 element(sk0_6,powerset(the_carrier(sk0_5)))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f160,plain,(
% 0.10/0.33 element(sk0_7,the_carrier(sk0_5))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f161,plain,(
% 0.10/0.33 in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|~in(sk0_7,sk0_6)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f162,plain,(
% 0.10/0.33 ~in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|in(sk0_7,sk0_6)),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f156])).
% 0.10/0.33 fof(f163,plain,(
% 0.10/0.33 ![A]: (A=empty_set|(![B]: (~element(B,powerset(A))|(![C]: (~element(C,A)|(in(C,B)|in(C,subset_complement(A,B))))))))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.10/0.33 fof(f164,plain,(
% 0.10/0.33 ![X0,X1,X2]: (X0=empty_set|~element(X1,powerset(X0))|~element(X2,X0)|in(X2,X1)|in(X2,subset_complement(X0,X1)))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f163])).
% 0.10/0.33 fof(f165,plain,(
% 0.10/0.33 ![A,B,C]: (~element(C,powerset(A))|(~in(B,subset_complement(A,C))|~in(B,C)))),
% 0.10/0.33 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.10/0.33 fof(f166,plain,(
% 0.10/0.33 ![A,C]: (~element(C,powerset(A))|(![B]: (~in(B,subset_complement(A,C))|~in(B,C))))),
% 0.10/0.33 inference(miniscoping,[status(esa)],[f165])).
% 0.10/0.33 fof(f167,plain,(
% 0.10/0.33 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,subset_complement(X1,X0))|~in(X2,X0))),
% 0.10/0.33 inference(cnf_transformation,[status(esa)],[f166])).
% 0.10/0.33 fof(f168,plain,(
% 0.10/0.33 spl0_0 <=> in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f171,plain,(
% 0.10/0.33 spl0_1 <=> in(sk0_7,sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f172,plain,(
% 0.10/0.33 in(sk0_7,sk0_6)|~spl0_1),
% 0.10/0.33 inference(component_clause,[status(thm)],[f171])).
% 0.10/0.33 fof(f173,plain,(
% 0.10/0.33 ~in(sk0_7,sk0_6)|spl0_1),
% 0.10/0.33 inference(component_clause,[status(thm)],[f171])).
% 0.10/0.33 fof(f174,plain,(
% 0.10/0.33 spl0_0|~spl0_1),
% 0.10/0.33 inference(split_clause,[status(thm)],[f161,f168,f171])).
% 0.10/0.33 fof(f175,plain,(
% 0.10/0.33 ~spl0_0|spl0_1),
% 0.10/0.33 inference(split_clause,[status(thm)],[f162,f168,f171])).
% 0.10/0.33 fof(f176,plain,(
% 0.10/0.33 ![X0,X1]: (~in(X0,X1)|~element(X1,X0)|empty(X0))),
% 0.10/0.33 inference(resolution,[status(thm)],[f122,f112])).
% 0.10/0.33 fof(f177,plain,(
% 0.10/0.33 ![X0,X1]: (~element(X0,X1)|empty(X1)|~element(X1,X0)|empty(X0))),
% 0.10/0.33 inference(resolution,[status(thm)],[f176,f112])).
% 0.10/0.33 fof(f179,plain,(
% 0.10/0.33 ![X0]: (~in(X0,sk0_6)|element(X0,the_carrier(sk0_5)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f148,f159])).
% 0.10/0.33 fof(f180,plain,(
% 0.10/0.33 spl0_2 <=> element(powerset(the_carrier(sk0_5)),sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f183,plain,(
% 0.10/0.33 spl0_3 <=> empty(sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f184,plain,(
% 0.10/0.33 empty(sk0_6)|~spl0_3),
% 0.10/0.33 inference(component_clause,[status(thm)],[f183])).
% 0.10/0.33 fof(f186,plain,(
% 0.10/0.33 spl0_4 <=> empty(powerset(the_carrier(sk0_5)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f189,plain,(
% 0.10/0.33 ~element(powerset(the_carrier(sk0_5)),sk0_6)|empty(sk0_6)|empty(powerset(the_carrier(sk0_5)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f177,f159])).
% 0.10/0.33 fof(f190,plain,(
% 0.10/0.33 ~spl0_2|spl0_3|spl0_4),
% 0.10/0.33 inference(split_clause,[status(thm)],[f189,f180,f183,f186])).
% 0.10/0.33 fof(f197,plain,(
% 0.10/0.33 spl0_7 <=> empty(the_carrier(sk0_5))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f198,plain,(
% 0.10/0.33 empty(the_carrier(sk0_5))|~spl0_7),
% 0.10/0.33 inference(component_clause,[status(thm)],[f197])).
% 0.10/0.33 fof(f202,plain,(
% 0.10/0.33 spl0_8 <=> ~element(the_carrier(sk0_5),X0)|empty(X0)|~in(X0,sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f205,plain,(
% 0.10/0.33 ![X0]: (~element(the_carrier(sk0_5),X0)|empty(X0)|empty(the_carrier(sk0_5))|~in(X0,sk0_6))),
% 0.10/0.33 inference(resolution,[status(thm)],[f177,f179])).
% 0.10/0.33 fof(f206,plain,(
% 0.10/0.33 spl0_8|spl0_7),
% 0.10/0.33 inference(split_clause,[status(thm)],[f205,f202,f197])).
% 0.10/0.33 fof(f207,plain,(
% 0.10/0.33 element(subset_complement(the_carrier(sk0_5),sk0_6),powerset(the_carrier(sk0_5)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f128,f159])).
% 0.10/0.33 fof(f208,plain,(
% 0.10/0.33 spl0_9 <=> the_carrier(sk0_5)=empty_set),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f209,plain,(
% 0.10/0.33 the_carrier(sk0_5)=empty_set|~spl0_9),
% 0.10/0.33 inference(component_clause,[status(thm)],[f208])).
% 0.10/0.33 fof(f211,plain,(
% 0.10/0.33 spl0_10 <=> ~element(X0,the_carrier(sk0_5))|in(X0,sk0_6)|in(X0,subset_complement(the_carrier(sk0_5),sk0_6))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f212,plain,(
% 0.10/0.33 ![X0]: (~element(X0,the_carrier(sk0_5))|in(X0,sk0_6)|in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_10)),
% 0.10/0.33 inference(component_clause,[status(thm)],[f211])).
% 0.10/0.33 fof(f214,plain,(
% 0.10/0.33 ![X0]: (the_carrier(sk0_5)=empty_set|~element(X0,the_carrier(sk0_5))|in(X0,sk0_6)|in(X0,subset_complement(the_carrier(sk0_5),sk0_6)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f164,f159])).
% 0.10/0.33 fof(f215,plain,(
% 0.10/0.33 spl0_9|spl0_10),
% 0.10/0.33 inference(split_clause,[status(thm)],[f214,f208,f211])).
% 0.10/0.33 fof(f216,plain,(
% 0.10/0.33 ![X0]: (~in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|~in(X0,sk0_6))),
% 0.10/0.33 inference(resolution,[status(thm)],[f167,f159])).
% 0.10/0.33 fof(f217,plain,(
% 0.10/0.33 ![X0,X1]: (~in(X0,X1)|~element(X1,powerset(empty_set)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f134,f115])).
% 0.10/0.33 fof(f219,plain,(
% 0.10/0.33 spl0_11 <=> empty_carrier(sk0_4)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f220,plain,(
% 0.10/0.33 empty_carrier(sk0_4)|~spl0_11),
% 0.10/0.33 inference(component_clause,[status(thm)],[f219])).
% 0.10/0.33 fof(f222,plain,(
% 0.10/0.33 spl0_12 <=> element(sk0_0(sk0_4),powerset(the_carrier(sk0_4)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f223,plain,(
% 0.10/0.33 element(sk0_0(sk0_4),powerset(the_carrier(sk0_4)))|~spl0_12),
% 0.10/0.33 inference(component_clause,[status(thm)],[f222])).
% 0.10/0.33 fof(f225,plain,(
% 0.10/0.33 empty_carrier(sk0_4)|element(sk0_0(sk0_4),powerset(the_carrier(sk0_4)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f48,f130])).
% 0.10/0.33 fof(f226,plain,(
% 0.10/0.33 spl0_11|spl0_12),
% 0.10/0.33 inference(split_clause,[status(thm)],[f225,f219,f222])).
% 0.10/0.33 fof(f235,plain,(
% 0.10/0.33 spl0_15 <=> empty_carrier(sk0_5)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f236,plain,(
% 0.10/0.33 empty_carrier(sk0_5)|~spl0_15),
% 0.10/0.33 inference(component_clause,[status(thm)],[f235])).
% 0.10/0.33 fof(f238,plain,(
% 0.10/0.33 spl0_16 <=> element(sk0_0(sk0_5),powerset(the_carrier(sk0_5)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f239,plain,(
% 0.10/0.33 element(sk0_0(sk0_5),powerset(the_carrier(sk0_5)))|~spl0_16),
% 0.10/0.33 inference(component_clause,[status(thm)],[f238])).
% 0.10/0.33 fof(f241,plain,(
% 0.10/0.33 empty_carrier(sk0_5)|element(sk0_0(sk0_5),powerset(the_carrier(sk0_5)))),
% 0.10/0.33 inference(resolution,[status(thm)],[f48,f158])).
% 0.10/0.33 fof(f242,plain,(
% 0.10/0.33 spl0_15|spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f241,f235,f238])).
% 0.10/0.33 fof(f243,plain,(
% 0.10/0.33 $false|~spl0_15),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f236,f157])).
% 0.10/0.33 fof(f244,plain,(
% 0.10/0.33 ~spl0_15),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f243])).
% 0.10/0.33 fof(f245,plain,(
% 0.10/0.33 $false|~spl0_11),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f220,f131])).
% 0.10/0.33 fof(f246,plain,(
% 0.10/0.33 ~spl0_11),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f245])).
% 0.10/0.33 fof(f247,plain,(
% 0.10/0.33 spl0_17 <=> one_sorted_str(sk0_5)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f249,plain,(
% 0.10/0.33 ~one_sorted_str(sk0_5)|spl0_17),
% 0.10/0.33 inference(component_clause,[status(thm)],[f247])).
% 0.10/0.33 fof(f250,plain,(
% 0.10/0.33 empty_carrier(sk0_5)|~one_sorted_str(sk0_5)|~spl0_7),
% 0.10/0.33 inference(resolution,[status(thm)],[f198,f133])).
% 0.10/0.33 fof(f251,plain,(
% 0.10/0.33 spl0_15|~spl0_17|~spl0_7),
% 0.10/0.33 inference(split_clause,[status(thm)],[f250,f235,f247,f197])).
% 0.10/0.33 fof(f254,plain,(
% 0.10/0.33 $false|spl0_17),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f249,f158])).
% 0.10/0.33 fof(f255,plain,(
% 0.10/0.33 spl0_17),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f254])).
% 0.10/0.33 fof(f266,plain,(
% 0.10/0.33 spl0_19 <=> empty(empty_set)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f268,plain,(
% 0.10/0.33 ~empty(empty_set)|spl0_19),
% 0.10/0.33 inference(component_clause,[status(thm)],[f266])).
% 0.10/0.33 fof(f269,plain,(
% 0.10/0.33 empty_carrier(sk0_5)|~one_sorted_str(sk0_5)|~empty(empty_set)|~spl0_9),
% 0.10/0.33 inference(paramodulation,[status(thm)],[f209,f133])).
% 0.10/0.33 fof(f270,plain,(
% 0.10/0.33 spl0_15|~spl0_17|~spl0_19|~spl0_9),
% 0.10/0.33 inference(split_clause,[status(thm)],[f269,f235,f247,f266,f208])).
% 0.10/0.33 fof(f271,plain,(
% 0.10/0.33 $false|spl0_19),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f268,f134])).
% 0.10/0.33 fof(f272,plain,(
% 0.10/0.33 spl0_19),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f271])).
% 0.10/0.33 fof(f273,plain,(
% 0.10/0.33 spl0_20 <=> element(sk0_7,sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f275,plain,(
% 0.10/0.33 ~element(sk0_7,sk0_6)|spl0_20),
% 0.10/0.33 inference(component_clause,[status(thm)],[f273])).
% 0.10/0.33 fof(f276,plain,(
% 0.10/0.33 ~element(sk0_7,sk0_6)|empty(sk0_6)|spl0_1),
% 0.10/0.33 inference(resolution,[status(thm)],[f173,f112])).
% 0.10/0.33 fof(f277,plain,(
% 0.10/0.33 ~spl0_20|spl0_3|spl0_1),
% 0.10/0.33 inference(split_clause,[status(thm)],[f276,f273,f183,f171])).
% 0.10/0.33 fof(f280,plain,(
% 0.10/0.33 element(sk0_7,sk0_6)|~spl0_1),
% 0.10/0.33 inference(resolution,[status(thm)],[f172,f141])).
% 0.10/0.33 fof(f281,plain,(
% 0.10/0.33 $false|spl0_20|~spl0_1),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f280,f275])).
% 0.10/0.33 fof(f282,plain,(
% 0.10/0.33 spl0_20|~spl0_1),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f281])).
% 0.10/0.33 fof(f284,plain,(
% 0.10/0.33 ![X0]: (~in(X0,sk0_6)|~spl0_3)),
% 0.10/0.33 inference(resolution,[status(thm)],[f184,f153])).
% 0.10/0.33 fof(f290,plain,(
% 0.10/0.33 ![X0]: (~in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|~in(X0,sk0_0(sk0_5))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f239,f167])).
% 0.10/0.33 fof(f291,plain,(
% 0.10/0.33 spl0_22 <=> ~element(X0,the_carrier(sk0_5))|in(X0,sk0_0(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f294,plain,(
% 0.10/0.33 ![X0]: (the_carrier(sk0_5)=empty_set|~element(X0,the_carrier(sk0_5))|in(X0,sk0_0(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f239,f164])).
% 0.10/0.33 fof(f295,plain,(
% 0.10/0.33 spl0_9|spl0_22|~spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f294,f208,f291,f238])).
% 0.10/0.33 fof(f296,plain,(
% 0.10/0.33 element(subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)),powerset(the_carrier(sk0_5)))|~spl0_16),
% 0.10/0.33 inference(resolution,[status(thm)],[f239,f128])).
% 0.10/0.33 fof(f297,plain,(
% 0.10/0.33 ![X0]: (~in(X0,sk0_0(sk0_5))|element(X0,the_carrier(sk0_5))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f239,f148])).
% 0.10/0.33 fof(f299,plain,(
% 0.10/0.33 spl0_23 <=> element(powerset(the_carrier(sk0_5)),sk0_0(sk0_5))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f302,plain,(
% 0.10/0.33 spl0_24 <=> empty(sk0_0(sk0_5))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f303,plain,(
% 0.10/0.33 empty(sk0_0(sk0_5))|~spl0_24),
% 0.10/0.33 inference(component_clause,[status(thm)],[f302])).
% 0.10/0.33 fof(f305,plain,(
% 0.10/0.33 ~element(powerset(the_carrier(sk0_5)),sk0_0(sk0_5))|empty(sk0_0(sk0_5))|empty(powerset(the_carrier(sk0_5)))|~spl0_16),
% 0.10/0.33 inference(resolution,[status(thm)],[f239,f177])).
% 0.10/0.33 fof(f306,plain,(
% 0.10/0.33 ~spl0_23|spl0_24|spl0_4|~spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f305,f299,f302,f186,f238])).
% 0.10/0.33 fof(f315,plain,(
% 0.10/0.33 ![X0]: (~element(X0,the_carrier(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_3|~spl0_10)),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f212,f284])).
% 0.10/0.33 fof(f317,plain,(
% 0.10/0.33 spl0_27 <=> the_carrier(sk0_4)=empty_set),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f318,plain,(
% 0.10/0.33 the_carrier(sk0_4)=empty_set|~spl0_27),
% 0.10/0.33 inference(component_clause,[status(thm)],[f317])).
% 0.10/0.33 fof(f320,plain,(
% 0.10/0.33 spl0_28 <=> ~element(X0,the_carrier(sk0_4))|in(X0,sk0_0(sk0_4))|in(X0,subset_complement(the_carrier(sk0_4),sk0_0(sk0_4)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f323,plain,(
% 0.10/0.33 ![X0]: (the_carrier(sk0_4)=empty_set|~element(X0,the_carrier(sk0_4))|in(X0,sk0_0(sk0_4))|in(X0,subset_complement(the_carrier(sk0_4),sk0_0(sk0_4)))|~spl0_12)),
% 0.10/0.33 inference(resolution,[status(thm)],[f223,f164])).
% 0.10/0.33 fof(f324,plain,(
% 0.10/0.33 spl0_27|spl0_28|~spl0_12),
% 0.10/0.33 inference(split_clause,[status(thm)],[f323,f317,f320,f222])).
% 0.10/0.33 fof(f326,plain,(
% 0.10/0.33 ![X0]: (~in(X0,sk0_0(sk0_4))|element(X0,the_carrier(sk0_4))|~spl0_12)),
% 0.10/0.33 inference(resolution,[status(thm)],[f223,f148])).
% 0.10/0.33 fof(f328,plain,(
% 0.10/0.33 spl0_29 <=> element(powerset(the_carrier(sk0_4)),sk0_0(sk0_4))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f331,plain,(
% 0.10/0.33 spl0_30 <=> empty(sk0_0(sk0_4))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f332,plain,(
% 0.10/0.33 empty(sk0_0(sk0_4))|~spl0_30),
% 0.10/0.33 inference(component_clause,[status(thm)],[f331])).
% 0.10/0.33 fof(f334,plain,(
% 0.10/0.33 spl0_31 <=> empty(powerset(the_carrier(sk0_4)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f337,plain,(
% 0.10/0.33 ~element(powerset(the_carrier(sk0_4)),sk0_0(sk0_4))|empty(sk0_0(sk0_4))|empty(powerset(the_carrier(sk0_4)))|~spl0_12),
% 0.10/0.33 inference(resolution,[status(thm)],[f223,f177])).
% 0.10/0.33 fof(f338,plain,(
% 0.10/0.33 ~spl0_29|spl0_30|spl0_31|~spl0_12),
% 0.10/0.33 inference(split_clause,[status(thm)],[f337,f328,f331,f334,f222])).
% 0.10/0.33 fof(f340,plain,(
% 0.10/0.33 spl0_32 <=> one_sorted_str(sk0_4)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f342,plain,(
% 0.10/0.33 ~one_sorted_str(sk0_4)|spl0_32),
% 0.10/0.33 inference(component_clause,[status(thm)],[f340])).
% 0.10/0.33 fof(f343,plain,(
% 0.10/0.33 empty_carrier(sk0_4)|~one_sorted_str(sk0_4)|~empty(empty_set)|~spl0_27),
% 0.10/0.33 inference(paramodulation,[status(thm)],[f318,f133])).
% 0.10/0.33 fof(f344,plain,(
% 0.10/0.33 spl0_11|~spl0_32|~spl0_19|~spl0_27),
% 0.10/0.33 inference(split_clause,[status(thm)],[f343,f219,f340,f266,f317])).
% 0.10/0.33 fof(f345,plain,(
% 0.10/0.33 $false|spl0_32),
% 0.10/0.33 inference(forward_subsumption_resolution,[status(thm)],[f342,f130])).
% 0.10/0.33 fof(f346,plain,(
% 0.10/0.33 spl0_32),
% 0.10/0.33 inference(contradiction_clause,[status(thm)],[f345])).
% 0.10/0.33 fof(f355,plain,(
% 0.10/0.33 spl0_33 <=> element(X0,the_carrier(sk0_5))|~element(X0,sk0_0(sk0_5))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f358,plain,(
% 0.10/0.33 ![X0]: (element(X0,the_carrier(sk0_5))|~element(X0,sk0_0(sk0_5))|empty(sk0_0(sk0_5))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f297,f112])).
% 0.10/0.33 fof(f359,plain,(
% 0.10/0.33 spl0_33|spl0_24|~spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f358,f355,f302,f238])).
% 0.10/0.33 fof(f360,plain,(
% 0.10/0.33 empty_carrier(sk0_5)|~one_sorted_str(sk0_5)|~spl0_24),
% 0.10/0.33 inference(resolution,[status(thm)],[f303,f49])).
% 0.10/0.33 fof(f361,plain,(
% 0.10/0.33 spl0_15|~spl0_17|~spl0_24),
% 0.10/0.33 inference(split_clause,[status(thm)],[f360,f235,f247,f302])).
% 0.10/0.33 fof(f364,plain,(
% 0.10/0.33 spl0_34 <=> element(X0,the_carrier(sk0_4))|~element(X0,sk0_0(sk0_4))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f367,plain,(
% 0.10/0.33 ![X0]: (element(X0,the_carrier(sk0_4))|~element(X0,sk0_0(sk0_4))|empty(sk0_0(sk0_4))|~spl0_12)),
% 0.10/0.33 inference(resolution,[status(thm)],[f326,f112])).
% 0.10/0.33 fof(f368,plain,(
% 0.10/0.33 spl0_34|spl0_30|~spl0_12),
% 0.10/0.33 inference(split_clause,[status(thm)],[f367,f364,f331,f222])).
% 0.10/0.33 fof(f369,plain,(
% 0.10/0.33 empty_carrier(sk0_4)|~one_sorted_str(sk0_4)|~spl0_30),
% 0.10/0.33 inference(resolution,[status(thm)],[f332,f49])).
% 0.10/0.33 fof(f370,plain,(
% 0.10/0.33 spl0_11|~spl0_32|~spl0_30),
% 0.10/0.33 inference(split_clause,[status(thm)],[f369,f219,f340,f331])).
% 0.10/0.33 fof(f373,plain,(
% 0.10/0.33 spl0_35 <=> ~in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|~element(X0,sk0_0(sk0_5))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f376,plain,(
% 0.10/0.33 ![X0]: (~in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|~element(X0,sk0_0(sk0_5))|empty(sk0_0(sk0_5))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f290,f112])).
% 0.10/0.33 fof(f377,plain,(
% 0.10/0.33 spl0_35|spl0_24|~spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f376,f373,f302,f238])).
% 0.10/0.33 fof(f379,plain,(
% 0.10/0.33 spl0_36 <=> ~element(X0,the_carrier(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|in(X0,subset_complement(the_carrier(sk0_5),subset_complement(the_carrier(sk0_5),sk0_0(sk0_5))))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f382,plain,(
% 0.10/0.33 ![X0]: (the_carrier(sk0_5)=empty_set|~element(X0,the_carrier(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_0(sk0_5)))|in(X0,subset_complement(the_carrier(sk0_5),subset_complement(the_carrier(sk0_5),sk0_0(sk0_5))))|~spl0_16)),
% 0.10/0.33 inference(resolution,[status(thm)],[f296,f164])).
% 0.10/0.33 fof(f383,plain,(
% 0.10/0.33 spl0_9|spl0_36|~spl0_16),
% 0.10/0.33 inference(split_clause,[status(thm)],[f382,f208,f379,f238])).
% 0.10/0.33 fof(f395,plain,(
% 0.10/0.33 in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_3|~spl0_10),
% 0.10/0.33 inference(resolution,[status(thm)],[f160,f315])).
% 0.10/0.33 fof(f396,plain,(
% 0.10/0.33 spl0_0|~spl0_3|~spl0_10),
% 0.10/0.33 inference(split_clause,[status(thm)],[f395,f168,f183,f211])).
% 0.10/0.33 fof(f408,plain,(
% 0.10/0.33 spl0_39 <=> element(X0,the_carrier(sk0_5))|~element(X0,sk0_6)),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f409,plain,(
% 0.10/0.33 ![X0]: (element(X0,the_carrier(sk0_5))|~element(X0,sk0_6)|~spl0_39)),
% 0.10/0.33 inference(component_clause,[status(thm)],[f408])).
% 0.10/0.33 fof(f411,plain,(
% 0.10/0.33 ![X0]: (element(X0,the_carrier(sk0_5))|~element(X0,sk0_6)|empty(sk0_6))),
% 0.10/0.33 inference(resolution,[status(thm)],[f179,f112])).
% 0.10/0.33 fof(f412,plain,(
% 0.10/0.33 spl0_39|spl0_3),
% 0.10/0.33 inference(split_clause,[status(thm)],[f411,f408,f183])).
% 0.10/0.33 fof(f415,plain,(
% 0.10/0.33 spl0_40 <=> ~element(X0,the_carrier(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|in(X0,subset_complement(the_carrier(sk0_5),subset_complement(the_carrier(sk0_5),sk0_6)))),
% 0.10/0.33 introduced(split_symbol_definition)).
% 0.10/0.33 fof(f418,plain,(
% 0.10/0.33 ![X0]: (the_carrier(sk0_5)=empty_set|~element(X0,the_carrier(sk0_5))|in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|in(X0,subset_complement(the_carrier(sk0_5),subset_complement(the_carrier(sk0_5),sk0_6))))),
% 0.10/0.34 inference(resolution,[status(thm)],[f207,f164])).
% 0.10/0.34 fof(f419,plain,(
% 0.10/0.34 spl0_9|spl0_40),
% 0.10/0.34 inference(split_clause,[status(thm)],[f418,f208,f415])).
% 0.10/0.34 fof(f435,plain,(
% 0.10/0.34 spl0_43 <=> ~in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|~element(X0,sk0_6)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f438,plain,(
% 0.10/0.34 ![X0]: (~in(X0,subset_complement(the_carrier(sk0_5),sk0_6))|~element(X0,sk0_6)|empty(sk0_6))),
% 0.10/0.34 inference(resolution,[status(thm)],[f216,f112])).
% 0.10/0.34 fof(f439,plain,(
% 0.10/0.34 spl0_43|spl0_3),
% 0.10/0.34 inference(split_clause,[status(thm)],[f438,f435,f183])).
% 0.10/0.34 fof(f445,plain,(
% 0.10/0.34 ![X0]: (~in(X0,sk0_3(powerset(empty_set))))),
% 0.10/0.34 inference(resolution,[status(thm)],[f126,f217])).
% 0.10/0.34 fof(f453,plain,(
% 0.10/0.34 spl0_45 <=> ~element(X0,sk0_3(powerset(empty_set)))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f454,plain,(
% 0.10/0.34 ![X0]: (~element(X0,sk0_3(powerset(empty_set)))|~spl0_45)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f453])).
% 0.10/0.34 fof(f456,plain,(
% 0.10/0.34 spl0_46 <=> empty(sk0_3(powerset(empty_set)))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f457,plain,(
% 0.10/0.34 empty(sk0_3(powerset(empty_set)))|~spl0_46),
% 0.10/0.34 inference(component_clause,[status(thm)],[f456])).
% 0.10/0.34 fof(f459,plain,(
% 0.10/0.34 ![X0]: (~element(X0,sk0_3(powerset(empty_set)))|empty(sk0_3(powerset(empty_set))))),
% 0.10/0.34 inference(resolution,[status(thm)],[f445,f112])).
% 0.10/0.34 fof(f460,plain,(
% 0.10/0.34 spl0_45|spl0_46),
% 0.10/0.34 inference(split_clause,[status(thm)],[f459,f453,f456])).
% 0.10/0.34 fof(f487,plain,(
% 0.10/0.34 ~in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_1),
% 0.10/0.34 inference(resolution,[status(thm)],[f172,f216])).
% 0.10/0.34 fof(f488,plain,(
% 0.10/0.34 ~spl0_0|~spl0_1),
% 0.10/0.34 inference(split_clause,[status(thm)],[f487,f168,f171])).
% 0.10/0.34 fof(f496,plain,(
% 0.10/0.34 $false|~spl0_45),
% 0.10/0.34 inference(resolution,[status(thm)],[f454,f126])).
% 0.10/0.34 fof(f497,plain,(
% 0.10/0.34 ~spl0_45),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f496])).
% 0.10/0.34 fof(f499,plain,(
% 0.10/0.34 sk0_3(powerset(empty_set))=empty_set|~spl0_46),
% 0.10/0.34 inference(resolution,[status(thm)],[f457,f150])).
% 0.10/0.34 fof(f504,plain,(
% 0.10/0.34 element(empty_set,powerset(empty_set))|~spl0_46),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f499,f126])).
% 0.10/0.34 fof(f507,plain,(
% 0.10/0.34 spl0_47 <=> empty_set=empty_set),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f510,plain,(
% 0.10/0.34 spl0_48 <=> ~element(X0,empty_set)|in(X0,empty_set)|in(X0,subset_complement(empty_set,empty_set))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f513,plain,(
% 0.10/0.34 ![X0]: (empty_set=empty_set|~element(X0,empty_set)|in(X0,empty_set)|in(X0,subset_complement(empty_set,empty_set))|~spl0_46)),
% 0.10/0.34 inference(resolution,[status(thm)],[f504,f164])).
% 0.10/0.34 fof(f514,plain,(
% 0.10/0.34 spl0_47|spl0_48|~spl0_46),
% 0.10/0.34 inference(split_clause,[status(thm)],[f513,f507,f510,f456])).
% 0.10/0.34 fof(f515,plain,(
% 0.10/0.34 element(subset_complement(empty_set,empty_set),powerset(empty_set))|~spl0_46),
% 0.10/0.34 inference(resolution,[status(thm)],[f504,f128])).
% 0.10/0.34 fof(f521,plain,(
% 0.10/0.34 spl0_50 <=> empty(powerset(empty_set))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f543,plain,(
% 0.10/0.34 element(sk0_3(sk0_6),the_carrier(sk0_5))|~spl0_39),
% 0.10/0.34 inference(resolution,[status(thm)],[f409,f126])).
% 0.10/0.34 fof(f544,plain,(
% 0.10/0.34 spl0_51 <=> element(the_carrier(sk0_5),sk0_3(sk0_6))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f547,plain,(
% 0.10/0.34 spl0_52 <=> empty(sk0_3(sk0_6))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f550,plain,(
% 0.10/0.34 ~element(the_carrier(sk0_5),sk0_3(sk0_6))|empty(sk0_3(sk0_6))|empty(the_carrier(sk0_5))|~spl0_39),
% 0.10/0.34 inference(resolution,[status(thm)],[f543,f177])).
% 0.10/0.34 fof(f551,plain,(
% 0.10/0.34 ~spl0_51|spl0_52|spl0_7|~spl0_39),
% 0.10/0.34 inference(split_clause,[status(thm)],[f550,f544,f547,f197,f408])).
% 0.10/0.34 fof(f552,plain,(
% 0.10/0.34 ![X0]: (~in(X0,subset_complement(empty_set,empty_set))|~spl0_46)),
% 0.10/0.34 inference(resolution,[status(thm)],[f515,f217])).
% 0.10/0.34 fof(f554,plain,(
% 0.10/0.34 spl0_53 <=> ~element(X0,empty_set)|in(X0,subset_complement(empty_set,empty_set))|in(X0,subset_complement(empty_set,subset_complement(empty_set,empty_set)))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f557,plain,(
% 0.10/0.34 ![X0]: (empty_set=empty_set|~element(X0,empty_set)|in(X0,subset_complement(empty_set,empty_set))|in(X0,subset_complement(empty_set,subset_complement(empty_set,empty_set)))|~spl0_46)),
% 0.16/0.55 inference(resolution,[status(thm)],[f515,f164])).
% 0.16/0.55 fof(f558,plain,(
% 0.16/0.55 spl0_47|spl0_53|~spl0_46),
% 0.16/0.55 inference(split_clause,[status(thm)],[f557,f507,f554,f456])).
% 0.16/0.55 fof(f562,plain,(
% 0.16/0.55 spl0_54 <=> element(powerset(empty_set),subset_complement(empty_set,empty_set))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f565,plain,(
% 0.16/0.55 spl0_55 <=> empty(subset_complement(empty_set,empty_set))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f568,plain,(
% 0.16/0.55 ~element(powerset(empty_set),subset_complement(empty_set,empty_set))|empty(subset_complement(empty_set,empty_set))|empty(powerset(empty_set))|~spl0_46),
% 0.16/0.55 inference(resolution,[status(thm)],[f515,f177])).
% 0.16/0.55 fof(f569,plain,(
% 0.16/0.55 ~spl0_54|spl0_55|spl0_50|~spl0_46),
% 0.16/0.55 inference(split_clause,[status(thm)],[f568,f562,f565,f521,f456])).
% 0.16/0.55 fof(f570,plain,(
% 0.16/0.55 spl0_56 <=> ~element(X0,subset_complement(empty_set,empty_set))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f573,plain,(
% 0.16/0.55 ![X0]: (~element(X0,subset_complement(empty_set,empty_set))|empty(subset_complement(empty_set,empty_set))|~spl0_46)),
% 0.16/0.55 inference(resolution,[status(thm)],[f552,f112])).
% 0.16/0.55 fof(f574,plain,(
% 0.16/0.55 spl0_56|spl0_55|~spl0_46),
% 0.16/0.55 inference(split_clause,[status(thm)],[f573,f570,f565,f456])).
% 0.16/0.55 fof(f586,plain,(
% 0.16/0.55 spl0_57 <=> in(sk0_3(sk0_6),sk0_6)),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f589,plain,(
% 0.16/0.55 spl0_58 <=> in(sk0_3(sk0_6),subset_complement(the_carrier(sk0_5),sk0_6))),
% 0.16/0.55 introduced(split_symbol_definition)).
% 0.16/0.55 fof(f592,plain,(
% 0.16/0.55 in(sk0_3(sk0_6),sk0_6)|in(sk0_3(sk0_6),subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_10|~spl0_39),
% 0.16/0.55 inference(resolution,[status(thm)],[f212,f543])).
% 0.16/0.55 fof(f593,plain,(
% 0.16/0.55 spl0_57|spl0_58|~spl0_10|~spl0_39),
% 0.16/0.55 inference(split_clause,[status(thm)],[f592,f586,f589,f211,f408])).
% 0.16/0.55 fof(f602,plain,(
% 0.16/0.55 in(sk0_7,sk0_6)|in(sk0_7,subset_complement(the_carrier(sk0_5),sk0_6))|~spl0_10),
% 0.16/0.55 inference(resolution,[status(thm)],[f212,f160])).
% 0.16/0.55 fof(f603,plain,(
% 0.16/0.55 spl0_1|spl0_0|~spl0_10),
% 0.16/0.55 inference(split_clause,[status(thm)],[f602,f171,f168,f211])).
% 0.16/0.55 fof(f604,plain,(
% 0.16/0.55 $false),
% 0.16/0.55 inference(sat_refutation,[status(thm)],[f174,f175,f190,f206,f215,f226,f242,f244,f246,f251,f255,f270,f272,f277,f282,f295,f306,f324,f338,f344,f346,f359,f361,f368,f370,f377,f383,f396,f412,f419,f439,f460,f488,f497,f514,f551,f558,f569,f574,f593,f603])).
% 0.16/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.55 % Elapsed time: 0.019352 seconds
% 0.16/0.55 % CPU time: 0.020902 seconds
% 0.16/0.55 % Memory used: 3.161 MB
%------------------------------------------------------------------------------