TSTP Solution File: SEU348+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU348+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:42:02 EDT 2024
% Result : Theorem 32.25s 4.57s
% Output : CNFRefutation 33.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU348+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 20:18:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.42 % Drodi V3.6.0
% 32.25/4.57 % Refutation found
% 32.25/4.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 32.25/4.57 % SZS output start CNFRefutation for theBenchmark
% 32.25/4.57 fof(f3,axiom,(
% 32.25/4.57 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f23,axiom,(
% 32.25/4.57 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f45,axiom,(
% 32.25/4.57 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f96,axiom,(
% 32.25/4.57 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f105,axiom,(
% 32.25/4.57 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(poset_of_lattice(A)))=> cast_to_el_of_lattice(A,B) = B ) )) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f119,axiom,(
% 32.25/4.57 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f138,axiom,(
% 32.25/4.57 (! [A,B] :( element(B,powerset(powerset(A)))=> (! [C] :( element(C,powerset(powerset(A)))=> ( C = complements_of_subsets(A,B)<=> (! [D] :( element(D,powerset(A))=> ( in(D,C)<=> in(subset_complement(A,D),B) ) ) )) ) )) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f151,axiom,(
% 32.25/4.57 (! [A] :( strict_latt_str(boole_lattice(A))& latt_str(boole_lattice(A)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f179,axiom,(
% 32.25/4.57 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f189,axiom,(
% 32.25/4.57 (! [A,B] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& element(B,the_carrier(poset_of_lattice(A))) )=> element(cast_to_el_of_lattice(A,B),the_carrier(A)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f229,axiom,(
% 32.25/4.57 (! [A] :(? [B] : element(B,A) ))),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f242,axiom,(
% 32.25/4.57 (! [A] :( ~ empty_carrier(boole_lattice(A))& strict_latt_str(boole_lattice(A)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f258,axiom,(
% 32.25/4.57 (! [A] :( ~ empty_carrier(boole_lattice(A))& strict_latt_str(boole_lattice(A))& join_commutative(boole_lattice(A))& join_associative(boole_lattice(A))& meet_commutative(boole_lattice(A))& meet_associative(boole_lattice(A))& meet_absorbing(boole_lattice(A))& join_absorbing(boole_lattice(A))& lattice(boole_lattice(A)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f312,axiom,(
% 32.25/4.57 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,subset_complement(A,B)) = B ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f326,lemma,(
% 32.25/4.57 (! [A,B] :( element(B,powerset(A))=> (! [C] :( in(C,B)=> in(C,A) ) )) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f334,lemma,(
% 32.25/4.57 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f349,axiom,(
% 32.25/4.57 (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f370,axiom,(
% 32.25/4.57 (? [A] :( latt_str(A)& ~ empty_carrier(A)& strict_latt_str(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A)& lattice(A) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f437,axiom,(
% 32.25/4.57 (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f489,axiom,(
% 32.25/4.57 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 32.25/4.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.25/4.57 fof(f519,lemma,(
% 32.25/4.57 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(B))=> ( latt_set_smaller(B,C,A)<=> relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) )) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f522,conjecture,(
% 33.03/4.58 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_element_smaller(poset_of_lattice(B),A,C)<=> latt_set_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f523,negated_conjecture,(
% 33.03/4.58 ~((! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_element_smaller(poset_of_lattice(B),A,C)<=> latt_set_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) ))),
% 33.03/4.58 inference(negated_conjecture,[status(cth)],[f522])).
% 33.03/4.58 fof(f561,lemma,(
% 33.03/4.58 (! [A,B] :( element(B,powerset(A))=> (! [C] :( element(C,powerset(A))=> ( disjoint(B,C)<=> subset(B,subset_complement(A,C)) ) ) )) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f580,axiom,(
% 33.03/4.58 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f582,lemma,(
% 33.03/4.58 (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] : ~ in(C,set_intersection2(A,B)) ))& ~ ( (? [C] : in(C,set_intersection2(A,B)))& disjoint(A,B) ) ) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f588,lemma,(
% 33.03/4.58 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 33.03/4.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 33.03/4.58 fof(f642,plain,(
% 33.03/4.58 ![A,B]: (~in(A,B)|~in(B,A))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 33.03/4.58 fof(f643,plain,(
% 33.03/4.58 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f642])).
% 33.03/4.58 fof(f712,plain,(
% 33.03/4.58 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 33.03/4.58 fof(f713,plain,(
% 33.03/4.58 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 33.03/4.58 inference(miniscoping,[status(esa)],[f712])).
% 33.03/4.58 fof(f714,plain,(
% 33.03/4.58 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f713])).
% 33.03/4.58 fof(f777,plain,(
% 33.03/4.58 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 33.03/4.58 inference(NNF_transformation,[status(esa)],[f45])).
% 33.03/4.58 fof(f778,plain,(
% 33.03/4.58 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 33.03/4.58 inference(miniscoping,[status(esa)],[f777])).
% 33.03/4.58 fof(f779,plain,(
% 33.03/4.58 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f778])).
% 33.03/4.58 fof(f1151,plain,(
% 33.03/4.58 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 33.03/4.58 fof(f1152,plain,(
% 33.03/4.58 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f1151])).
% 33.03/4.58 fof(f1207,plain,(
% 33.03/4.58 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B)))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f105])).
% 33.03/4.58 fof(f1208,plain,(
% 33.03/4.58 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|cast_to_el_of_lattice(X0,X1)=X1)),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f1207])).
% 33.03/4.58 fof(f1306,plain,(
% 33.03/4.58 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 33.03/4.58 fof(f1307,plain,(
% 33.03/4.58 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 33.03/4.58 inference(cnf_transformation,[status(esa)],[f1306])).
% 33.03/4.58 fof(f1419,plain,(
% 33.03/4.58 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|(C=complements_of_subsets(A,B)<=>(![D]: (~element(D,powerset(A))|(in(D,C)<=>in(subset_complement(A,D),B))))))))),
% 33.03/4.58 inference(pre_NNF_transformation,[status(esa)],[f138])).
% 33.03/4.60 fof(f1420,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|((~C=complements_of_subsets(A,B)|(![D]: (~element(D,powerset(A))|((~in(D,C)|in(subset_complement(A,D),B))&(in(D,C)|~in(subset_complement(A,D),B))))))&(C=complements_of_subsets(A,B)|(?[D]: (element(D,powerset(A))&((~in(D,C)|~in(subset_complement(A,D),B))&(in(D,C)|in(subset_complement(A,D),B))))))))))),
% 33.03/4.60 inference(NNF_transformation,[status(esa)],[f1419])).
% 33.03/4.60 fof(f1421,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(powerset(A)))|(![C]: (~element(C,powerset(powerset(A)))|((~C=complements_of_subsets(A,B)|(![D]: (~element(D,powerset(A))|((~in(D,C)|in(subset_complement(A,D),B))&(in(D,C)|~in(subset_complement(A,D),B))))))&(C=complements_of_subsets(A,B)|(element(sk0_110(C,B,A),powerset(A))&((~in(sk0_110(C,B,A),C)|~in(subset_complement(A,sk0_110(C,B,A)),B))&(in(sk0_110(C,B,A),C)|in(subset_complement(A,sk0_110(C,B,A)),B)))))))))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f1420])).
% 33.03/4.60 fof(f1422,plain,(
% 33.03/4.60 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))|~X2=complements_of_subsets(X1,X0)|~element(X3,powerset(X1))|~in(X3,X2)|in(subset_complement(X1,X3),X0))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1421])).
% 33.03/4.60 fof(f1452,plain,(
% 33.03/4.60 (![A]: strict_latt_str(boole_lattice(A)))&(![A]: latt_str(boole_lattice(A)))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f151])).
% 33.03/4.60 fof(f1454,plain,(
% 33.03/4.60 ![X0]: (latt_str(boole_lattice(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1452])).
% 33.03/4.60 fof(f1489,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f179])).
% 33.03/4.60 fof(f1490,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1489])).
% 33.03/4.60 fof(f1501,plain,(
% 33.03/4.60 ![A,B]: ((((empty_carrier(A)|~lattice(A))|~latt_str(A))|~element(B,the_carrier(poset_of_lattice(A))))|element(cast_to_el_of_lattice(A,B),the_carrier(A)))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f189])).
% 33.03/4.60 fof(f1502,plain,(
% 33.03/4.60 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1501])).
% 33.03/4.60 fof(f1577,plain,(
% 33.03/4.60 ![A]: element(sk0_119(A),A)),
% 33.03/4.60 inference(skolemization,[status(esa)],[f229])).
% 33.03/4.60 fof(f1578,plain,(
% 33.03/4.60 ![X0]: (element(sk0_119(X0),X0))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1577])).
% 33.03/4.60 fof(f1616,plain,(
% 33.03/4.60 (![A]: ~empty_carrier(boole_lattice(A)))&(![A]: strict_latt_str(boole_lattice(A)))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f242])).
% 33.03/4.60 fof(f1617,plain,(
% 33.03/4.60 ![X0]: (~empty_carrier(boole_lattice(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1616])).
% 33.03/4.60 fof(f1666,plain,(
% 33.03/4.60 ((((((((![A]: ~empty_carrier(boole_lattice(A)))&(![A]: strict_latt_str(boole_lattice(A))))&(![A]: join_commutative(boole_lattice(A))))&(![A]: join_associative(boole_lattice(A))))&(![A]: meet_commutative(boole_lattice(A))))&(![A]: meet_associative(boole_lattice(A))))&(![A]: meet_absorbing(boole_lattice(A))))&(![A]: join_absorbing(boole_lattice(A))))&(![A]: lattice(boole_lattice(A)))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f258])).
% 33.03/4.60 fof(f1675,plain,(
% 33.03/4.60 ![X0]: (lattice(boole_lattice(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1666])).
% 33.03/4.60 fof(f1882,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B)),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f312])).
% 33.03/4.60 fof(f1883,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,subset_complement(X1,X0))=X0)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1882])).
% 33.03/4.60 fof(f1927,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(A))|(![C]: (~in(C,B)|in(C,A))))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f326])).
% 33.03/4.60 fof(f1928,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,X0)|in(X2,X1))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1927])).
% 33.03/4.60 fof(f1964,plain,(
% 33.03/4.60 ![A,B]: ((?[C]: (in(C,A)&~in(C,B)))|element(A,powerset(B)))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f334])).
% 33.03/4.60 fof(f1965,plain,(
% 33.03/4.60 ![A,B]: ((in(sk0_132(B,A),A)&~in(sk0_132(B,A),B))|element(A,powerset(B)))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f1964])).
% 33.03/4.60 fof(f1966,plain,(
% 33.03/4.60 ![X0,X1]: (in(sk0_132(X0,X1),X1)|element(X1,powerset(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f1965])).
% 33.03/4.60 fof(f2028,plain,(
% 33.03/4.60 ![A]: (((((((((element(sk0_146(A),powerset(A))&empty(sk0_146(A)))&relation(sk0_146(A)))&function(sk0_146(A)))&one_to_one(sk0_146(A)))&epsilon_transitive(sk0_146(A)))&epsilon_connected(sk0_146(A)))&ordinal(sk0_146(A)))&natural(sk0_146(A)))&finite(sk0_146(A)))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f349])).
% 33.03/4.60 fof(f2029,plain,(
% 33.03/4.60 ![X0]: (element(sk0_146(X0),powerset(X0)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2028])).
% 33.03/4.60 fof(f2124,plain,(
% 33.03/4.60 (((((((((latt_str(sk0_167)&~empty_carrier(sk0_167))&strict_latt_str(sk0_167))&join_commutative(sk0_167))&join_associative(sk0_167))&meet_commutative(sk0_167))&meet_associative(sk0_167))&meet_absorbing(sk0_167))&join_absorbing(sk0_167))&lattice(sk0_167))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f370])).
% 33.03/4.60 fof(f2125,plain,(
% 33.03/4.60 latt_str(sk0_167)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2124])).
% 33.03/4.60 fof(f2126,plain,(
% 33.03/4.60 ~empty_carrier(sk0_167)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2124])).
% 33.03/4.60 fof(f2134,plain,(
% 33.03/4.60 lattice(sk0_167)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2124])).
% 33.03/4.60 fof(f2667,plain,(
% 33.03/4.60 ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f437])).
% 33.03/4.60 fof(f2668,plain,(
% 33.03/4.60 ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2667])).
% 33.03/4.60 fof(f2838,plain,(
% 33.03/4.60 ![A,B]: (~in(A,B)|element(A,B))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f489])).
% 33.03/4.60 fof(f2839,plain,(
% 33.03/4.60 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2838])).
% 33.03/4.60 fof(f2928,plain,(
% 33.03/4.60 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|(latt_set_smaller(B,C,A)<=>relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f519])).
% 33.03/4.60 fof(f2929,plain,(
% 33.03/4.60 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((~latt_set_smaller(B,C,A)|relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))&(latt_set_smaller(B,C,A)|~relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))))),
% 33.03/4.60 inference(NNF_transformation,[status(esa)],[f2928])).
% 33.03/4.60 fof(f2930,plain,(
% 33.03/4.60 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((![A]: (~latt_set_smaller(B,C,A)|relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))&(![A]: (latt_set_smaller(B,C,A)|~relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f2929])).
% 33.03/4.60 fof(f2931,plain,(
% 33.03/4.60 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_set_smaller(X0,X1,X2)|relstr_element_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2930])).
% 33.03/4.60 fof(f2932,plain,(
% 33.03/4.60 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|latt_set_smaller(X0,X1,X2)|~relstr_element_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2930])).
% 33.03/4.60 fof(f2943,plain,(
% 33.03/4.60 (?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(relstr_element_smaller(poset_of_lattice(B),A,C)<~>latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f523])).
% 33.03/4.60 fof(f2944,plain,(
% 33.03/4.60 ?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&((relstr_element_smaller(poset_of_lattice(B),A,C)|latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_element_smaller(poset_of_lattice(B),A,C)|~latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 33.03/4.60 inference(NNF_transformation,[status(esa)],[f2943])).
% 33.03/4.60 fof(f2945,plain,(
% 33.03/4.60 ?[B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(?[A]: ((relstr_element_smaller(poset_of_lattice(B),A,C)|latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_element_smaller(poset_of_lattice(B),A,C)|~latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f2944])).
% 33.03/4.60 fof(f2946,plain,(
% 33.03/4.60 (((~empty_carrier(sk0_359)&lattice(sk0_359))&latt_str(sk0_359))&(element(sk0_360,the_carrier(poset_of_lattice(sk0_359)))&((relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361))&(~relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|~latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)))))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f2945])).
% 33.03/4.60 fof(f2947,plain,(
% 33.03/4.60 ~empty_carrier(sk0_359)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f2948,plain,(
% 33.03/4.60 lattice(sk0_359)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f2949,plain,(
% 33.03/4.60 latt_str(sk0_359)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f2950,plain,(
% 33.03/4.60 element(sk0_360,the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f2951,plain,(
% 33.03/4.60 relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f2952,plain,(
% 33.03/4.60 ~relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|~latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f2946])).
% 33.03/4.60 fof(f3078,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(A))|(![C]: (~element(C,powerset(A))|(disjoint(B,C)<=>subset(B,subset_complement(A,C))))))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f561])).
% 33.03/4.60 fof(f3079,plain,(
% 33.03/4.60 ![A,B]: (~element(B,powerset(A))|(![C]: (~element(C,powerset(A))|((~disjoint(B,C)|subset(B,subset_complement(A,C)))&(disjoint(B,C)|~subset(B,subset_complement(A,C)))))))),
% 33.03/4.60 inference(NNF_transformation,[status(esa)],[f3078])).
% 33.03/4.60 fof(f3081,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|disjoint(X0,X2)|~subset(X0,subset_complement(X1,X2)))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f3079])).
% 33.03/4.60 fof(f3135,plain,(
% 33.03/4.60 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f580])).
% 33.03/4.60 fof(f3136,plain,(
% 33.03/4.60 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f3135])).
% 33.03/4.60 fof(f3137,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f3136])).
% 33.03/4.60 fof(f3140,plain,(
% 33.03/4.60 ![A,B]: ((disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B))))&((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f582])).
% 33.03/4.60 fof(f3141,plain,(
% 33.03/4.60 (![A,B]: (disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B)))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f3140])).
% 33.03/4.60 fof(f3142,plain,(
% 33.03/4.60 (![A,B]: (disjoint(A,B)|in(sk0_372(B,A),set_intersection2(A,B))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 33.03/4.60 inference(skolemization,[status(esa)],[f3141])).
% 33.03/4.60 fof(f3144,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|~disjoint(X1,X2))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f3142])).
% 33.03/4.60 fof(f3171,plain,(
% 33.03/4.60 ![A,B,C]: (~element(C,powerset(A))|(~in(B,subset_complement(A,C))|~in(B,C)))),
% 33.03/4.60 inference(pre_NNF_transformation,[status(esa)],[f588])).
% 33.03/4.60 fof(f3172,plain,(
% 33.03/4.60 ![A,C]: (~element(C,powerset(A))|(![B]: (~in(B,subset_complement(A,C))|~in(B,C))))),
% 33.03/4.60 inference(miniscoping,[status(esa)],[f3171])).
% 33.03/4.60 fof(f3173,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,subset_complement(X1,X0))|~in(X2,X0))),
% 33.03/4.60 inference(cnf_transformation,[status(esa)],[f3172])).
% 33.03/4.60 fof(f3766,plain,(
% 33.03/4.60 spl0_31 <=> relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f3767,plain,(
% 33.03/4.60 relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|~spl0_31),
% 33.03/4.60 inference(component_clause,[status(thm)],[f3766])).
% 33.03/4.60 fof(f3769,plain,(
% 33.03/4.60 spl0_32 <=> latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f3770,plain,(
% 33.03/4.60 latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)|~spl0_32),
% 33.03/4.60 inference(component_clause,[status(thm)],[f3769])).
% 33.03/4.60 fof(f3771,plain,(
% 33.03/4.60 ~latt_set_smaller(sk0_359,cast_to_el_of_lattice(sk0_359,sk0_360),sk0_361)|spl0_32),
% 33.03/4.60 inference(component_clause,[status(thm)],[f3769])).
% 33.03/4.60 fof(f3772,plain,(
% 33.03/4.60 spl0_31|spl0_32),
% 33.03/4.60 inference(split_clause,[status(thm)],[f2951,f3766,f3769])).
% 33.03/4.60 fof(f3773,plain,(
% 33.03/4.60 ~spl0_31|~spl0_32),
% 33.03/4.60 inference(split_clause,[status(thm)],[f2952,f3766,f3769])).
% 33.03/4.60 fof(f3856,plain,(
% 33.03/4.60 ![X0]: (subset(X0,X0))),
% 33.03/4.60 inference(destructive_equality_resolution,[status(esa)],[f779])).
% 33.03/4.60 fof(f3987,plain,(
% 33.03/4.60 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))|~X2=complements_of_subsets(X1,X0)|~in(X3,X2)|in(subset_complement(X1,X3),X0))),
% 33.03/4.60 inference(backward_subsumption_resolution,[status(thm)],[f1422,f3137])).
% 33.03/4.60 fof(f4021,plain,(
% 33.03/4.60 spl0_54 <=> empty_carrier(sk0_359)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4022,plain,(
% 33.03/4.60 empty_carrier(sk0_359)|~spl0_54),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4021])).
% 33.03/4.60 fof(f4024,plain,(
% 33.03/4.60 spl0_55 <=> latt_str(sk0_359)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4026,plain,(
% 33.03/4.60 ~latt_str(sk0_359)|spl0_55),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4024])).
% 33.03/4.60 fof(f4027,plain,(
% 33.03/4.60 spl0_56 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,X0)=X0),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4028,plain,(
% 33.03/4.60 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,X0)=X0|~spl0_56)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4027])).
% 33.03/4.60 fof(f4030,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_359)|~latt_str(sk0_359)|~element(X0,the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,X0)=X0)),
% 33.03/4.60 inference(resolution,[status(thm)],[f1208,f2948])).
% 33.03/4.60 fof(f4031,plain,(
% 33.03/4.60 spl0_54|~spl0_55|spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4030,f4021,f4024,f4027])).
% 33.03/4.60 fof(f4032,plain,(
% 33.03/4.60 $false|spl0_55),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4026,f2949])).
% 33.03/4.60 fof(f4033,plain,(
% 33.03/4.60 spl0_55),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4032])).
% 33.03/4.60 fof(f4034,plain,(
% 33.03/4.60 $false|~spl0_54),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4022,f2947])).
% 33.03/4.60 fof(f4035,plain,(
% 33.03/4.60 ~spl0_54),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4034])).
% 33.03/4.60 fof(f4036,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_360)=sk0_360|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4028,f2950])).
% 33.03/4.60 fof(f4037,plain,(
% 33.03/4.60 ~latt_set_smaller(sk0_359,sk0_360,sk0_361)|~spl0_56|spl0_32),
% 33.03/4.60 inference(backward_demodulation,[status(thm)],[f4036,f3771])).
% 33.03/4.60 fof(f4038,plain,(
% 33.03/4.60 spl0_57 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_359)))|element(cast_to_el_of_lattice(sk0_359,X0),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4039,plain,(
% 33.03/4.60 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_359)))|element(cast_to_el_of_lattice(sk0_359,X0),the_carrier(sk0_359))|~spl0_57)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4038])).
% 33.03/4.60 fof(f4041,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_359)|~latt_str(sk0_359)|~element(X0,the_carrier(poset_of_lattice(sk0_359)))|element(cast_to_el_of_lattice(sk0_359,X0),the_carrier(sk0_359)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f1502,f2948])).
% 33.03/4.60 fof(f4042,plain,(
% 33.03/4.60 spl0_54|~spl0_55|spl0_57),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4041,f4021,f4024,f4038])).
% 33.03/4.60 fof(f4043,plain,(
% 33.03/4.60 spl0_58 <=> element(sk0_360,the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4045,plain,(
% 33.03/4.60 ~element(sk0_360,the_carrier(poset_of_lattice(sk0_359)))|spl0_58),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4043])).
% 33.03/4.60 fof(f4046,plain,(
% 33.03/4.60 spl0_59 <=> element(sk0_360,the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4047,plain,(
% 33.03/4.60 element(sk0_360,the_carrier(sk0_359))|~spl0_59),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4046])).
% 33.03/4.60 fof(f4049,plain,(
% 33.03/4.60 ~element(sk0_360,the_carrier(poset_of_lattice(sk0_359)))|element(sk0_360,the_carrier(sk0_359))|~spl0_57|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4036,f4039])).
% 33.03/4.60 fof(f4050,plain,(
% 33.03/4.60 ~spl0_58|spl0_59|~spl0_57|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4049,f4043,f4046,f4038,f4027])).
% 33.03/4.60 fof(f4051,plain,(
% 33.03/4.60 $false|spl0_58),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4045,f2950])).
% 33.03/4.60 fof(f4052,plain,(
% 33.03/4.60 spl0_58),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4051])).
% 33.03/4.60 fof(f4053,plain,(
% 33.03/4.60 spl0_60 <=> ~element(X0,the_carrier(sk0_359))|latt_set_smaller(sk0_359,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_359),X1,cast_to_el_of_LattPOSet(sk0_359,X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4054,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,the_carrier(sk0_359))|latt_set_smaller(sk0_359,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_359),X1,cast_to_el_of_LattPOSet(sk0_359,X0))|~spl0_60)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4053])).
% 33.03/4.60 fof(f4056,plain,(
% 33.03/4.60 ![X0,X1]: (empty_carrier(sk0_359)|~latt_str(sk0_359)|~element(X0,the_carrier(sk0_359))|latt_set_smaller(sk0_359,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_359),X1,cast_to_el_of_LattPOSet(sk0_359,X0)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f2932,f2948])).
% 33.03/4.60 fof(f4057,plain,(
% 33.03/4.60 spl0_54|~spl0_55|spl0_60),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4056,f4021,f4024,f4053])).
% 33.03/4.60 fof(f4058,plain,(
% 33.03/4.60 spl0_61 <=> ~element(X0,the_carrier(sk0_359))|latt_set_smaller(sk0_359,X0,X1)|~element(X0,the_carrier(sk0_359))|~latt_set_smaller(sk0_359,X0,X1)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4061,plain,(
% 33.03/4.60 spl0_62 <=> lattice(sk0_359)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4063,plain,(
% 33.03/4.60 ~lattice(sk0_359)|spl0_62),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4061])).
% 33.03/4.60 fof(f4064,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,the_carrier(sk0_359))|latt_set_smaller(sk0_359,X0,X1)|empty_carrier(sk0_359)|~lattice(sk0_359)|~latt_str(sk0_359)|~element(X0,the_carrier(sk0_359))|~latt_set_smaller(sk0_359,X0,X1)|~spl0_60)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4054,f2931])).
% 33.03/4.60 fof(f4065,plain,(
% 33.03/4.60 spl0_61|spl0_54|~spl0_62|~spl0_55|~spl0_60),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4064,f4058,f4021,f4061,f4024,f4053])).
% 33.03/4.60 fof(f4066,plain,(
% 33.03/4.60 $false|spl0_62),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4063,f2948])).
% 33.03/4.60 fof(f4067,plain,(
% 33.03/4.60 spl0_62),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4066])).
% 33.03/4.60 fof(f4068,plain,(
% 33.03/4.60 spl0_63 <=> empty_carrier(sk0_167)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4069,plain,(
% 33.03/4.60 empty_carrier(sk0_167)|~spl0_63),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4068])).
% 33.03/4.60 fof(f4071,plain,(
% 33.03/4.60 spl0_64 <=> latt_str(sk0_167)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4073,plain,(
% 33.03/4.60 ~latt_str(sk0_167)|spl0_64),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4071])).
% 33.03/4.60 fof(f4074,plain,(
% 33.03/4.60 spl0_65 <=> ~element(X0,the_carrier(sk0_167))|latt_set_smaller(sk0_167,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4075,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,the_carrier(sk0_167))|latt_set_smaller(sk0_167,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,X0))|~spl0_65)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4074])).
% 33.03/4.60 fof(f4077,plain,(
% 33.03/4.60 ![X0,X1]: (empty_carrier(sk0_167)|~latt_str(sk0_167)|~element(X0,the_carrier(sk0_167))|latt_set_smaller(sk0_167,X0,X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,X0)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f2134,f2932])).
% 33.03/4.60 fof(f4078,plain,(
% 33.03/4.60 spl0_63|~spl0_64|spl0_65),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4077,f4068,f4071,f4074])).
% 33.03/4.60 fof(f4079,plain,(
% 33.03/4.60 spl0_66 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_167)))|element(cast_to_el_of_lattice(sk0_167,X0),the_carrier(sk0_167))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4080,plain,(
% 33.03/4.60 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_167)))|element(cast_to_el_of_lattice(sk0_167,X0),the_carrier(sk0_167))|~spl0_66)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4079])).
% 33.03/4.60 fof(f4082,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_167)|~latt_str(sk0_167)|~element(X0,the_carrier(poset_of_lattice(sk0_167)))|element(cast_to_el_of_lattice(sk0_167,X0),the_carrier(sk0_167)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f2134,f1502])).
% 33.03/4.60 fof(f4083,plain,(
% 33.03/4.60 spl0_63|~spl0_64|spl0_66),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4082,f4068,f4071,f4079])).
% 33.03/4.60 fof(f4084,plain,(
% 33.03/4.60 spl0_67 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_167)))|cast_to_el_of_lattice(sk0_167,X0)=X0),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4085,plain,(
% 33.03/4.60 ![X0]: (~element(X0,the_carrier(poset_of_lattice(sk0_167)))|cast_to_el_of_lattice(sk0_167,X0)=X0|~spl0_67)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4084])).
% 33.03/4.60 fof(f4087,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_167)|~latt_str(sk0_167)|~element(X0,the_carrier(poset_of_lattice(sk0_167)))|cast_to_el_of_lattice(sk0_167,X0)=X0)),
% 33.03/4.60 inference(resolution,[status(thm)],[f2134,f1208])).
% 33.03/4.60 fof(f4088,plain,(
% 33.03/4.60 spl0_63|~spl0_64|spl0_67),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4087,f4068,f4071,f4084])).
% 33.03/4.60 fof(f4089,plain,(
% 33.03/4.60 $false|spl0_64),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4073,f2125])).
% 33.03/4.60 fof(f4090,plain,(
% 33.03/4.60 spl0_64),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4089])).
% 33.03/4.60 fof(f4091,plain,(
% 33.03/4.60 $false|~spl0_63),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4069,f2126])).
% 33.03/4.60 fof(f4092,plain,(
% 33.03/4.60 ~spl0_63),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4091])).
% 33.03/4.60 fof(f4099,plain,(
% 33.03/4.60 ![X0,X1]: (empty_carrier(boole_lattice(X0))|~latt_str(boole_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))|cast_to_el_of_lattice(boole_lattice(X0),X1)=X1)),
% 33.03/4.60 inference(resolution,[status(thm)],[f1675,f1208])).
% 33.03/4.60 fof(f4100,plain,(
% 33.03/4.60 ![X0,X1]: (~latt_str(boole_lattice(X0))|~element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))|cast_to_el_of_lattice(boole_lattice(X0),X1)=X1)),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4099,f1617])).
% 33.03/4.60 fof(f4107,plain,(
% 33.03/4.60 ![X0]: (latt_set_smaller(sk0_167,sk0_119(the_carrier(sk0_167)),X0)|~relstr_element_smaller(poset_of_lattice(sk0_167),X0,cast_to_el_of_LattPOSet(sk0_167,sk0_119(the_carrier(sk0_167))))|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f1578,f4075])).
% 33.03/4.60 fof(f4111,plain,(
% 33.03/4.60 element(cast_to_el_of_lattice(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167)))),the_carrier(sk0_167))|~spl0_66),
% 33.03/4.60 inference(resolution,[status(thm)],[f1578,f4080])).
% 33.03/4.60 fof(f4112,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))))=sk0_119(the_carrier(poset_of_lattice(sk0_167)))|~spl0_67),
% 33.03/4.60 inference(resolution,[status(thm)],[f1578,f4085])).
% 33.03/4.60 fof(f4113,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_119(the_carrier(poset_of_lattice(sk0_359))))=sk0_119(the_carrier(poset_of_lattice(sk0_359)))|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f1578,f4028])).
% 33.03/4.60 fof(f4119,plain,(
% 33.03/4.60 element(sk0_119(the_carrier(poset_of_lattice(sk0_167))),the_carrier(sk0_167))|~spl0_67|~spl0_66),
% 33.03/4.60 inference(backward_demodulation,[status(thm)],[f4112,f4111])).
% 33.03/4.60 fof(f4120,plain,(
% 33.03/4.60 ![X0]: (latt_set_smaller(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))),X0)|~relstr_element_smaller(poset_of_lattice(sk0_167),X0,cast_to_el_of_LattPOSet(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167)))))|~spl0_67|~spl0_66|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4119,f4075])).
% 33.03/4.60 fof(f4121,plain,(
% 33.03/4.60 spl0_68 <=> element(sk0_119(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4123,plain,(
% 33.03/4.60 ~element(sk0_119(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_68),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4121])).
% 33.03/4.60 fof(f4124,plain,(
% 33.03/4.60 spl0_69 <=> element(sk0_119(the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4127,plain,(
% 33.03/4.60 ~element(sk0_119(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_119(the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4113,f4039])).
% 33.03/4.60 fof(f4128,plain,(
% 33.03/4.60 ~spl0_68|spl0_69|~spl0_57|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4127,f4121,f4124,f4038,f4027])).
% 33.03/4.60 fof(f4129,plain,(
% 33.03/4.60 $false|spl0_68),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4123,f1578])).
% 33.03/4.60 fof(f4130,plain,(
% 33.03/4.60 spl0_68),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4129])).
% 33.03/4.60 fof(f4133,plain,(
% 33.03/4.60 spl0_70 <=> latt_set_smaller(sk0_167,sk0_119(the_carrier(sk0_167)),X0)|~latt_set_smaller(sk0_167,sk0_119(the_carrier(sk0_167)),X0)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4136,plain,(
% 33.03/4.60 spl0_71 <=> lattice(sk0_167)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4138,plain,(
% 33.03/4.60 ~lattice(sk0_167)|spl0_71),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4136])).
% 33.03/4.60 fof(f4139,plain,(
% 33.03/4.60 spl0_72 <=> element(sk0_119(the_carrier(sk0_167)),the_carrier(sk0_167))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4141,plain,(
% 33.03/4.60 ~element(sk0_119(the_carrier(sk0_167)),the_carrier(sk0_167))|spl0_72),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4139])).
% 33.03/4.60 fof(f4142,plain,(
% 33.03/4.60 ![X0]: (latt_set_smaller(sk0_167,sk0_119(the_carrier(sk0_167)),X0)|empty_carrier(sk0_167)|~lattice(sk0_167)|~latt_str(sk0_167)|~element(sk0_119(the_carrier(sk0_167)),the_carrier(sk0_167))|~latt_set_smaller(sk0_167,sk0_119(the_carrier(sk0_167)),X0)|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4107,f2931])).
% 33.03/4.60 fof(f4143,plain,(
% 33.03/4.60 spl0_70|spl0_63|~spl0_71|~spl0_64|~spl0_72|~spl0_65),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4142,f4133,f4068,f4136,f4071,f4139,f4074])).
% 33.03/4.60 fof(f4144,plain,(
% 33.03/4.60 $false|spl0_72),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4141,f1578])).
% 33.03/4.60 fof(f4145,plain,(
% 33.03/4.60 spl0_72),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4144])).
% 33.03/4.60 fof(f4146,plain,(
% 33.03/4.60 $false|spl0_71),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4138,f2134])).
% 33.03/4.60 fof(f4147,plain,(
% 33.03/4.60 spl0_71),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4146])).
% 33.03/4.60 fof(f4148,plain,(
% 33.03/4.60 spl0_73 <=> latt_set_smaller(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))),X0)|~latt_set_smaller(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))),X0)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4151,plain,(
% 33.03/4.60 spl0_74 <=> element(sk0_119(the_carrier(poset_of_lattice(sk0_167))),the_carrier(sk0_167))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4153,plain,(
% 33.03/4.60 ~element(sk0_119(the_carrier(poset_of_lattice(sk0_167))),the_carrier(sk0_167))|spl0_74),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4151])).
% 33.03/4.60 fof(f4154,plain,(
% 33.03/4.60 ![X0]: (latt_set_smaller(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))),X0)|empty_carrier(sk0_167)|~lattice(sk0_167)|~latt_str(sk0_167)|~element(sk0_119(the_carrier(poset_of_lattice(sk0_167))),the_carrier(sk0_167))|~latt_set_smaller(sk0_167,sk0_119(the_carrier(poset_of_lattice(sk0_167))),X0)|~spl0_67|~spl0_66|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4120,f2931])).
% 33.03/4.60 fof(f4155,plain,(
% 33.03/4.60 spl0_73|spl0_63|~spl0_71|~spl0_64|~spl0_74|~spl0_67|~spl0_66|~spl0_65),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4154,f4148,f4068,f4136,f4071,f4151,f4084,f4079,f4074])).
% 33.03/4.60 fof(f4156,plain,(
% 33.03/4.60 $false|~spl0_67|~spl0_66|spl0_74),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4153,f4119])).
% 33.03/4.60 fof(f4157,plain,(
% 33.03/4.60 ~spl0_67|~spl0_66|spl0_74),
% 33.03/4.60 inference(contradiction_clause,[status(thm)],[f4156])).
% 33.03/4.60 fof(f4161,plain,(
% 33.03/4.60 ![X0,X1]: (~in(X0,sk0_146(X1))|element(X0,X1))),
% 33.03/4.60 inference(resolution,[status(thm)],[f2029,f3137])).
% 33.03/4.60 fof(f4162,plain,(
% 33.03/4.60 ![X0,X1]: (~in(X0,sk0_146(X1))|in(X0,X1))),
% 33.03/4.60 inference(resolution,[status(thm)],[f2029,f1928])).
% 33.03/4.60 fof(f4187,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|~disjoint(X2,X1))),
% 33.03/4.60 inference(resolution,[status(thm)],[f3144,f2668])).
% 33.03/4.60 fof(f4206,plain,(
% 33.03/4.60 ![X0,X1]: (element(X0,powerset(X1))|element(sk0_132(X1,X0),X0))),
% 33.03/4.60 inference(resolution,[status(thm)],[f1966,f2839])).
% 33.03/4.60 fof(f4216,plain,(
% 33.03/4.60 ![X0]: (element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4206,f4028])).
% 33.03/4.60 fof(f4259,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(subset_complement(cartesian_product2(X1,X2),X0)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f1490,f714])).
% 33.03/4.60 fof(f4264,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,subset_complement(X1,X0))|element(X2,X1))),
% 33.03/4.60 inference(resolution,[status(thm)],[f1490,f3137])).
% 33.03/4.60 fof(f4282,plain,(
% 33.03/4.60 spl0_75 <=> cast_to_el_of_lattice(sk0_359,sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4283,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359)))|~spl0_75)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4282])).
% 33.03/4.60 fof(f4285,plain,(
% 33.03/4.60 spl0_76 <=> relation(the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4288,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359)))|relation(the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f714])).
% 33.03/4.60 fof(f4289,plain,(
% 33.03/4.60 spl0_75|spl0_76|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4288,f4282,f4285,f4027])).
% 33.03/4.60 fof(f4290,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359)))|~element(X1,powerset(powerset(X0)))|~the_carrier(poset_of_lattice(sk0_359))=complements_of_subsets(X0,X1)|~in(X2,the_carrier(poset_of_lattice(sk0_359)))|in(subset_complement(X0,X2),X1)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f3987])).
% 33.03/4.60 fof(f4291,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f1883])).
% 33.03/4.60 fof(f4292,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|subset_complement(X0,the_carrier(poset_of_lattice(sk0_359)))=set_difference(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f1307])).
% 33.03/4.60 fof(f4294,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~in(X1,the_carrier(poset_of_lattice(sk0_359)))|element(X1,X0)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f3137])).
% 33.03/4.60 fof(f4295,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~in(X1,the_carrier(poset_of_lattice(sk0_359)))|in(X1,X0)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4216,f1928])).
% 33.03/4.60 fof(f4296,plain,(
% 33.03/4.60 ![X0,X1]: (~element(sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_75)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4283,f4039])).
% 33.03/4.60 fof(f4298,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),X0)|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4294,f1966])).
% 33.03/4.60 fof(f4299,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|in(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),X0)|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4295,f1966])).
% 33.03/4.60 fof(f4302,plain,(
% 33.03/4.60 ![X0]: (~element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4039])).
% 33.03/4.60 fof(f4305,plain,(
% 33.03/4.60 ![X0]: (~element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,the_carrier(poset_of_lattice(sk0_359)))=set_difference(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4039])).
% 33.03/4.60 fof(f4306,plain,(
% 33.03/4.60 spl0_77 <=> cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4307,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_77),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4306])).
% 33.03/4.60 fof(f4309,plain,(
% 33.03/4.60 spl0_78 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(cartesian_product2(X0,X1)))|element(sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4312,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(cartesian_product2(X0,X1)))|element(sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_56|~spl0_57|~spl0_75)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4296])).
% 33.03/4.60 fof(f4313,plain,(
% 33.03/4.60 spl0_77|spl0_78|~spl0_56|~spl0_57|~spl0_75),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4312,f4306,f4309,f4027,f4038,f4282])).
% 33.03/4.60 fof(f4315,plain,(
% 33.03/4.60 spl0_79 <=> cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4316,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))|~spl0_79),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4315])).
% 33.03/4.60 fof(f4318,plain,(
% 33.03/4.60 spl0_80 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|latt_set_smaller(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4321,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|latt_set_smaller(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))))|~spl0_56|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4075])).
% 33.03/4.60 fof(f4322,plain,(
% 33.03/4.60 spl0_79|spl0_80|~spl0_56|~spl0_65),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4321,f4315,f4318,f4027,f4074])).
% 33.03/4.60 fof(f4324,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|~latt_str(boole_lattice(X0))|cast_to_el_of_lattice(boole_lattice(X0),sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4100])).
% 33.03/4.60 fof(f4325,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|cast_to_el_of_lattice(boole_lattice(X0),sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4324,f1454])).
% 33.03/4.60 fof(f4326,plain,(
% 33.03/4.60 spl0_81 <=> cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4327,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_81),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4326])).
% 33.03/4.60 fof(f4329,plain,(
% 33.03/4.60 spl0_82 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|element(cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),the_carrier(sk0_167))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4332,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|element(cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),the_carrier(sk0_167))|~spl0_56|~spl0_66)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4080])).
% 33.03/4.60 fof(f4333,plain,(
% 33.03/4.60 spl0_81|spl0_82|~spl0_56|~spl0_66),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4332,f4326,f4329,f4027,f4079])).
% 33.03/4.60 fof(f4334,plain,(
% 33.03/4.60 spl0_83 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4337,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56|~spl0_67)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4085])).
% 33.03/4.60 fof(f4338,plain,(
% 33.03/4.60 spl0_81|spl0_83|~spl0_56|~spl0_67),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4337,f4326,f4334,f4027,f4084])).
% 33.03/4.60 fof(f4339,plain,(
% 33.03/4.60 spl0_84 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4342,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f4028])).
% 33.03/4.60 fof(f4343,plain,(
% 33.03/4.60 spl0_77|spl0_84|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4342,f4306,f4339,f4027])).
% 33.03/4.60 fof(f4344,plain,(
% 33.03/4.60 spl0_85 <=> cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4345,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_85)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4344])).
% 33.03/4.60 fof(f4347,plain,(
% 33.03/4.60 spl0_86 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|relation(sk0_132(X2,the_carrier(poset_of_lattice(sk0_359))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4350,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|relation(sk0_132(X2,the_carrier(poset_of_lattice(sk0_359))))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f714])).
% 33.03/4.60 fof(f4351,plain,(
% 33.03/4.60 spl0_85|spl0_86|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4350,f4344,f4347,f4027])).
% 33.03/4.60 fof(f4353,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|subset_complement(X0,subset_complement(X0,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4298,f1883])).
% 33.03/4.60 fof(f4358,plain,(
% 33.03/4.60 spl0_87 <=> sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4361,plain,(
% 33.03/4.60 spl0_88 <=> subset_complement(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4364,plain,(
% 33.03/4.60 sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))|~spl0_79|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4316])).
% 33.03/4.60 fof(f4365,plain,(
% 33.03/4.60 spl0_87|spl0_88|~spl0_79|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4364,f4358,f4361,f4315,f4027])).
% 33.03/4.60 fof(f4366,plain,(
% 33.03/4.60 spl0_89 <=> subset_complement(the_carrier(sk0_167),subset_complement(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4369,plain,(
% 33.03/4.60 sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(sk0_167),subset_complement(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_79|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4316])).
% 33.03/4.60 fof(f4370,plain,(
% 33.03/4.60 spl0_87|spl0_89|~spl0_79|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4369,f4358,f4366,f4315,f4027])).
% 33.03/4.60 fof(f4375,plain,(
% 33.03/4.60 spl0_90 <=> element(sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4377,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_90),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4375])).
% 33.03/4.60 fof(f4378,plain,(
% 33.03/4.60 spl0_91 <=> element(sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4381,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(the_carrier(sk0_167),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_79),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4316,f4039])).
% 33.03/4.60 fof(f4382,plain,(
% 33.03/4.60 ~spl0_90|spl0_91|~spl0_57|~spl0_79),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4381,f4375,f4378,f4038,f4315])).
% 33.03/4.60 fof(f4383,plain,(
% 33.03/4.60 spl0_92 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(sk0_167)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4386,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(sk0_167)))|spl0_90|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4377,f4298])).
% 33.03/4.60 fof(f4387,plain,(
% 33.03/4.60 spl0_77|spl0_92|spl0_90|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4386,f4306,f4383,f4375,f4027])).
% 33.03/4.60 fof(f4389,plain,(
% 33.03/4.60 spl0_93 <=> sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4392,plain,(
% 33.03/4.60 spl0_94 <=> subset_complement(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4395,plain,(
% 33.03/4.60 sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_81|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4327])).
% 33.03/4.60 fof(f4396,plain,(
% 33.03/4.60 spl0_93|spl0_94|~spl0_81|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4395,f4389,f4392,f4326,f4027])).
% 33.03/4.60 fof(f4397,plain,(
% 33.03/4.60 spl0_95 <=> subset_complement(the_carrier(poset_of_lattice(sk0_167)),subset_complement(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4400,plain,(
% 33.03/4.60 sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(poset_of_lattice(sk0_167)),subset_complement(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_81|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4327])).
% 33.03/4.60 fof(f4401,plain,(
% 33.03/4.60 spl0_93|spl0_95|~spl0_81|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4400,f4389,f4397,f4326,f4027])).
% 33.03/4.60 fof(f4406,plain,(
% 33.03/4.60 spl0_96 <=> element(sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4408,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_96),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4406])).
% 33.03/4.60 fof(f4409,plain,(
% 33.03/4.60 spl0_97 <=> element(sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4412,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(the_carrier(poset_of_lattice(sk0_167)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_81),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4327,f4039])).
% 33.03/4.60 fof(f4413,plain,(
% 33.03/4.60 ~spl0_96|spl0_97|~spl0_57|~spl0_81),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4412,f4406,f4409,f4038,f4326])).
% 33.03/4.60 fof(f4414,plain,(
% 33.03/4.60 spl0_98 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359)))|~element(X2,powerset(powerset(X1)))|~the_carrier(poset_of_lattice(sk0_359))=complements_of_subsets(X1,X2)|in(subset_complement(X1,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),X2)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4417,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359)))|~element(X2,powerset(powerset(X1)))|~the_carrier(poset_of_lattice(sk0_359))=complements_of_subsets(X1,X2)|in(subset_complement(X1,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),X2)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f4290])).
% 33.03/4.60 fof(f4418,plain,(
% 33.03/4.60 spl0_77|spl0_98|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4417,f4306,f4414,f4027])).
% 33.03/4.60 fof(f4419,plain,(
% 33.03/4.60 spl0_99 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4422,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f4295])).
% 33.03/4.60 fof(f4423,plain,(
% 33.03/4.60 spl0_77|spl0_99|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4422,f4306,f4419,f4027])).
% 33.03/4.60 fof(f4424,plain,(
% 33.03/4.60 spl0_100 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4427,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f4294])).
% 33.03/4.60 fof(f4428,plain,(
% 33.03/4.60 spl0_77|spl0_100|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4427,f4306,f4424,f4027])).
% 33.03/4.60 fof(f4431,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(X0),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|in(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),X0)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f4162])).
% 33.03/4.60 fof(f4432,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(X0),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|element(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),X0)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f4161])).
% 33.03/4.60 fof(f4437,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|~in(X0,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4299,f643])).
% 33.03/4.60 fof(f4458,plain,(
% 33.03/4.60 spl0_101 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(poset_of_lattice(sk0_167))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4461,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(poset_of_lattice(sk0_167))))|spl0_96|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4408,f4298])).
% 33.03/4.60 fof(f4462,plain,(
% 33.03/4.60 spl0_77|spl0_101|spl0_96|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4461,f4306,f4458,f4406,f4027])).
% 33.03/4.60 fof(f4464,plain,(
% 33.03/4.60 spl0_102 <=> sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4467,plain,(
% 33.03/4.60 spl0_103 <=> subset_complement(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4470,plain,(
% 33.03/4.60 sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))=set_difference(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_77|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4307])).
% 33.03/4.60 fof(f4471,plain,(
% 33.03/4.60 spl0_102|spl0_103|~spl0_77|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4470,f4464,f4467,f4306,f4027])).
% 33.03/4.60 fof(f4472,plain,(
% 33.03/4.60 spl0_104 <=> subset_complement(the_carrier(poset_of_lattice(sk0_359)),subset_complement(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4475,plain,(
% 33.03/4.60 sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(the_carrier(poset_of_lattice(sk0_359)),subset_complement(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_77|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4307])).
% 33.03/4.60 fof(f4476,plain,(
% 33.03/4.60 spl0_102|spl0_104|~spl0_77|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4475,f4464,f4472,f4306,f4027])).
% 33.03/4.60 fof(f4481,plain,(
% 33.03/4.60 spl0_105 <=> element(sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4483,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_105),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4481])).
% 33.03/4.60 fof(f4484,plain,(
% 33.03/4.60 spl0_106 <=> element(sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4487,plain,(
% 33.03/4.60 ~element(sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_77),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4307,f4039])).
% 33.03/4.60 fof(f4488,plain,(
% 33.03/4.60 ~spl0_105|spl0_106|~spl0_57|~spl0_77),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4487,f4481,f4484,f4038,f4306])).
% 33.03/4.60 fof(f4489,plain,(
% 33.03/4.60 spl0_107 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(poset_of_lattice(sk0_359))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4492,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(the_carrier(poset_of_lattice(sk0_359))))|spl0_105|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4483,f4298])).
% 33.03/4.60 fof(f4493,plain,(
% 33.03/4.60 spl0_77|spl0_107|spl0_105|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4492,f4306,f4489,f4481,f4027])).
% 33.03/4.60 fof(f4495,plain,(
% 33.03/4.60 ![X0,X1]: (~element(sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_85)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4345,f4039])).
% 33.03/4.60 fof(f4496,plain,(
% 33.03/4.60 spl0_108 <=> element(sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(powerset(cartesian_product2(X0,X1))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4499,plain,(
% 33.03/4.60 ![X0,X1]: (element(sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(powerset(cartesian_product2(X0,X1))))|~spl0_57|~spl0_85|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4495,f4298])).
% 33.03/4.60 fof(f4500,plain,(
% 33.03/4.60 spl0_108|spl0_77|~spl0_57|~spl0_85|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4499,f4496,f4306,f4038,f4344,f4027])).
% 33.03/4.60 fof(f4502,plain,(
% 33.03/4.60 spl0_109 <=> cast_to_el_of_lattice(sk0_359,sk0_132(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4505,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X1))|cast_to_el_of_lattice(sk0_359,sk0_132(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4437,f4299])).
% 33.03/4.60 fof(f4506,plain,(
% 33.03/4.60 spl0_109|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4505,f4502,f4027])).
% 33.03/4.60 fof(f4509,plain,(
% 33.03/4.60 spl0_110 <=> cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4510,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|~spl0_110),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4509])).
% 33.03/4.60 fof(f4512,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X1),the_carrier(poset_of_lattice(sk0_359)))|~element(X2,powerset(powerset(X1)))|~the_carrier(poset_of_lattice(sk0_359))=complements_of_subsets(X1,X2)|in(subset_complement(X1,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),X2)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4431,f4290])).
% 33.03/4.60 fof(f4513,plain,(
% 33.03/4.60 spl0_110|spl0_98|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4512,f4509,f4414,f4027])).
% 33.03/4.60 fof(f4514,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4431,f4295])).
% 33.03/4.60 fof(f4515,plain,(
% 33.03/4.60 spl0_110|spl0_99|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4514,f4509,f4419,f4027])).
% 33.03/4.60 fof(f4516,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X1,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X1,the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4431,f4294])).
% 33.03/4.60 fof(f4517,plain,(
% 33.03/4.60 spl0_110|spl0_100|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4516,f4509,f4424,f4027])).
% 33.03/4.60 fof(f4535,plain,(
% 33.03/4.60 spl0_112 <=> sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4538,plain,(
% 33.03/4.60 spl0_113 <=> subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))=set_difference(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4541,plain,(
% 33.03/4.60 sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))=set_difference(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|~spl0_110|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4510])).
% 33.03/4.60 fof(f4542,plain,(
% 33.03/4.60 spl0_112|spl0_113|~spl0_110|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4541,f4535,f4538,f4509,f4027])).
% 33.03/4.60 fof(f4543,plain,(
% 33.03/4.60 spl0_114 <=> subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4546,plain,(
% 33.03/4.60 sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_110|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4510])).
% 33.03/4.60 fof(f4547,plain,(
% 33.03/4.60 spl0_112|spl0_114|~spl0_110|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4546,f4535,f4543,f4509,f4027])).
% 33.03/4.60 fof(f4552,plain,(
% 33.03/4.60 spl0_115 <=> element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4554,plain,(
% 33.03/4.60 ~element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_115),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4552])).
% 33.03/4.60 fof(f4555,plain,(
% 33.03/4.60 spl0_116 <=> element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4558,plain,(
% 33.03/4.60 ~element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_110),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4510,f4039])).
% 33.03/4.60 fof(f4559,plain,(
% 33.03/4.60 ~spl0_115|spl0_116|~spl0_57|~spl0_110),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4558,f4552,f4555,f4038,f4509])).
% 33.03/4.60 fof(f4560,plain,(
% 33.03/4.60 spl0_117 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_359)))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4561,plain,(
% 33.03/4.60 element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_359)))))|~spl0_117),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4560])).
% 33.03/4.60 fof(f4563,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_359)))))|spl0_115|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4554,f4298])).
% 33.03/4.60 fof(f4564,plain,(
% 33.03/4.60 spl0_77|spl0_117|spl0_115|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4563,f4306,f4560,f4552,f4027])).
% 33.03/4.60 fof(f4571,plain,(
% 33.03/4.60 ![X0]: (~in(X0,the_carrier(poset_of_lattice(sk0_359)))|in(X0,sk0_146(the_carrier(poset_of_lattice(sk0_359))))|~spl0_117)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4561,f1928])).
% 33.03/4.60 fof(f4573,plain,(
% 33.03/4.60 spl0_118 <=> element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4576,plain,(
% 33.03/4.60 ![X0]: (element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4302,f4298])).
% 33.03/4.60 fof(f4577,plain,(
% 33.03/4.60 spl0_118|spl0_77|~spl0_57|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4576,f4573,f4306,f4038,f4027])).
% 33.03/4.60 fof(f4578,plain,(
% 33.03/4.60 ![X0]: (element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4302,f4206])).
% 33.03/4.60 fof(f4579,plain,(
% 33.03/4.60 ![X0]: (element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f4578,f1883])).
% 33.03/4.60 fof(f4580,plain,(
% 33.03/4.60 spl0_119 <=> element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,the_carrier(poset_of_lattice(sk0_359)))=set_difference(X0,the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4583,plain,(
% 33.03/4.60 ![X0]: (element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|subset_complement(X0,the_carrier(poset_of_lattice(sk0_359)))=set_difference(X0,the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_57|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4305,f4298])).
% 33.03/4.60 fof(f4584,plain,(
% 33.03/4.60 spl0_119|spl0_77|~spl0_57|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4583,f4580,f4306,f4038,f4027])).
% 33.03/4.60 fof(f4587,plain,(
% 33.03/4.60 spl0_120 <=> in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_359))))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4590,plain,(
% 33.03/4.60 ![X0]: (in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_359))))|cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_117|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4571,f4431])).
% 33.03/4.60 fof(f4591,plain,(
% 33.03/4.60 spl0_120|spl0_110|~spl0_117|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4590,f4587,f4509,f4560,f4027])).
% 33.03/4.60 fof(f4592,plain,(
% 33.03/4.60 ![X0]: (in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_359))))|cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_117|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4571,f4299])).
% 33.03/4.60 fof(f4593,plain,(
% 33.03/4.60 spl0_120|spl0_77|~spl0_117|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4592,f4587,f4306,f4560,f4027])).
% 33.03/4.60 fof(f4602,plain,(
% 33.03/4.60 spl0_121 <=> cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4605,plain,(
% 33.03/4.60 ![X0,X1]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(sk0_167)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(sk0_167)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|latt_set_smaller(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),X1)|~relstr_element_smaller(poset_of_lattice(sk0_167),X1,cast_to_el_of_LattPOSet(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))))|~spl0_56|~spl0_65)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4432,f4075])).
% 33.03/4.60 fof(f4606,plain,(
% 33.03/4.60 spl0_121|spl0_80|~spl0_56|~spl0_65),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4605,f4602,f4318,f4027,f4074])).
% 33.03/4.60 fof(f4610,plain,(
% 33.03/4.60 spl0_122 <=> cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4611,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|~spl0_122),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4610])).
% 33.03/4.60 fof(f4613,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|element(cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),the_carrier(sk0_167))|~spl0_56|~spl0_66)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4432,f4080])).
% 33.03/4.60 fof(f4614,plain,(
% 33.03/4.60 spl0_122|spl0_82|~spl0_56|~spl0_66),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4613,f4610,f4329,f4027,f4079])).
% 33.03/4.60 fof(f4615,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_167,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56|~spl0_67)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4432,f4085])).
% 33.03/4.60 fof(f4616,plain,(
% 33.03/4.60 spl0_122|spl0_83|~spl0_56|~spl0_67),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4615,f4610,f4334,f4027,f4084])).
% 33.03/4.60 fof(f4617,plain,(
% 33.03/4.60 ![X0]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4432,f4028])).
% 33.03/4.60 fof(f4618,plain,(
% 33.03/4.60 spl0_110|spl0_84|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4617,f4509,f4339,f4027])).
% 33.03/4.60 fof(f4619,plain,(
% 33.03/4.60 spl0_123 <=> cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(powerset(cartesian_product2(X0,X1))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(powerset(cartesian_product2(X0,X1))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4622,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(powerset(cartesian_product2(X0,X1))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(powerset(cartesian_product2(X0,X1))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|relation(sk0_132(X2,the_carrier(poset_of_lattice(sk0_359))))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4432,f714])).
% 33.03/4.60 fof(f4623,plain,(
% 33.03/4.60 spl0_123|spl0_86|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4622,f4619,f4347,f4027])).
% 33.03/4.60 fof(f4631,plain,(
% 33.03/4.60 spl0_124 <=> sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4634,plain,(
% 33.03/4.60 spl0_125 <=> subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))=set_difference(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4637,plain,(
% 33.03/4.60 sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))=set_difference(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|~spl0_122|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4292,f4611])).
% 33.03/4.60 fof(f4638,plain,(
% 33.03/4.60 spl0_124|spl0_125|~spl0_122|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4637,f4631,f4634,f4610,f4027])).
% 33.03/4.60 fof(f4639,plain,(
% 33.03/4.60 spl0_126 <=> subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4642,plain,(
% 33.03/4.60 sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),subset_complement(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_122|~spl0_56),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4611])).
% 33.03/4.60 fof(f4643,plain,(
% 33.03/4.60 spl0_124|spl0_126|~spl0_122|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4642,f4631,f4639,f4610,f4027])).
% 33.03/4.60 fof(f4648,plain,(
% 33.03/4.60 spl0_127 <=> element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4650,plain,(
% 33.03/4.60 ~element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|spl0_127),
% 33.03/4.60 inference(component_clause,[status(thm)],[f4648])).
% 33.03/4.60 fof(f4651,plain,(
% 33.03/4.60 spl0_128 <=> element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4654,plain,(
% 33.03/4.60 ~element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_167))),the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|~spl0_57|~spl0_122),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4611,f4039])).
% 33.03/4.60 fof(f4655,plain,(
% 33.03/4.60 ~spl0_127|spl0_128|~spl0_57|~spl0_122),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4654,f4648,f4651,f4038,f4610])).
% 33.03/4.60 fof(f4656,plain,(
% 33.03/4.60 spl0_129 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_167)))))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4659,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_167)))))|spl0_127|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4650,f4432])).
% 33.03/4.60 fof(f4660,plain,(
% 33.03/4.60 spl0_110|spl0_129|spl0_127|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4659,f4509,f4656,f4648,f4027])).
% 33.03/4.60 fof(f4661,plain,(
% 33.03/4.60 cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_167)))))|spl0_127|~spl0_56),
% 33.03/4.60 inference(resolution,[status(thm)],[f4650,f4298])).
% 33.03/4.60 fof(f4662,plain,(
% 33.03/4.60 spl0_77|spl0_129|spl0_127|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4661,f4306,f4656,f4648,f4027])).
% 33.03/4.60 fof(f4663,plain,(
% 33.03/4.60 element(the_carrier(poset_of_lattice(sk0_359)),powerset(sk0_146(the_carrier(poset_of_lattice(sk0_167)))))|spl0_127),
% 33.03/4.60 inference(resolution,[status(thm)],[f4650,f4206])).
% 33.03/4.60 fof(f4668,plain,(
% 33.03/4.60 ![X0]: (~in(X0,the_carrier(poset_of_lattice(sk0_359)))|in(X0,sk0_146(the_carrier(poset_of_lattice(sk0_167))))|spl0_127)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4663,f1928])).
% 33.03/4.60 fof(f4670,plain,(
% 33.03/4.60 spl0_130 <=> in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_167))))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4673,plain,(
% 33.03/4.60 ![X0]: (in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_167))))|cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(the_carrier(poset_of_lattice(sk0_359))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|spl0_127|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4668,f4431])).
% 33.03/4.60 fof(f4674,plain,(
% 33.03/4.60 spl0_130|spl0_110|spl0_127|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4673,f4670,f4509,f4648,f4027])).
% 33.03/4.60 fof(f4675,plain,(
% 33.03/4.60 ![X0]: (in(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),sk0_146(the_carrier(poset_of_lattice(sk0_167))))|cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(sk0_359)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|spl0_127|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4668,f4299])).
% 33.03/4.60 fof(f4676,plain,(
% 33.03/4.60 spl0_130|spl0_77|spl0_127|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4675,f4670,f4306,f4648,f4027])).
% 33.03/4.60 fof(f4690,plain,(
% 33.03/4.60 spl0_131 <=> cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(boole_lattice(X0),sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4693,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(the_carrier(poset_of_lattice(boole_lattice(X0))),the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(boole_lattice(X0),sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))|relation(the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4325,f714])).
% 33.03/4.60 fof(f4694,plain,(
% 33.03/4.60 spl0_131|spl0_76|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4693,f4690,f4285,f4027])).
% 33.03/4.60 fof(f4704,plain,(
% 33.03/4.60 spl0_132 <=> cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(X0,subset_complement(X0,sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))))=sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f4707,plain,(
% 33.03/4.60 ![X0,X1,X2]: (cast_to_el_of_lattice(sk0_359,sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(X0),the_carrier(poset_of_lattice(sk0_359)))|subset_complement(X0,subset_complement(X0,sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))))=sk0_132(cartesian_product2(X1,X2),the_carrier(poset_of_lattice(sk0_359)))|relation(the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(resolution,[status(thm)],[f4353,f714])).
% 33.03/4.60 fof(f4708,plain,(
% 33.03/4.60 spl0_132|spl0_76|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f4707,f4704,f4285,f4027])).
% 33.03/4.60 fof(f4719,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|element(sk0_132(X2,subset_complement(X1,X0)),X1)|element(subset_complement(X1,X0),powerset(X2)))),
% 33.03/4.60 inference(resolution,[status(thm)],[f4264,f1966])).
% 33.03/4.60 fof(f4745,plain,(
% 33.03/4.60 ![X0,X1,X2,X3]: (~element(X0,powerset(powerset(cartesian_product2(X1,X2))))|element(subset_complement(powerset(cartesian_product2(X1,X2)),X0),powerset(X3))|relation(sk0_132(X3,subset_complement(powerset(cartesian_product2(X1,X2)),X0))))),
% 33.03/4.60 inference(resolution,[status(thm)],[f4719,f714])).
% 33.03/4.60 fof(f4795,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(subset_complement(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),powerset(powerset(cartesian_product2(X0,X1))))|element(subset_complement(powerset(cartesian_product2(X0,X1)),subset_complement(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))),powerset(X2))|relation(sk0_132(X2,the_carrier(poset_of_lattice(sk0_359))))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4745])).
% 33.03/4.60 fof(f4997,plain,(
% 33.03/4.60 ![X0,X1]: (~element(subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))),powerset(X0))|~in(X1,the_carrier(poset_of_lattice(sk0_359)))|~in(X1,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f3173])).
% 33.03/4.60 fof(f4999,plain,(
% 33.03/4.60 spl0_133 <=> ~element(subset_complement(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),powerset(cartesian_product2(X0,X1)))|cast_to_el_of_lattice(sk0_359,sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f5002,plain,(
% 33.03/4.60 ![X0,X1]: (~element(subset_complement(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))),powerset(cartesian_product2(X0,X1)))|relation(the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(cartesian_product2(X0,X1),the_carrier(poset_of_lattice(sk0_359)))|~spl0_56)),
% 33.03/4.60 inference(paramodulation,[status(thm)],[f4291,f4259])).
% 33.03/4.60 fof(f5003,plain,(
% 33.03/4.60 spl0_133|spl0_76|~spl0_56),
% 33.03/4.60 inference(split_clause,[status(thm)],[f5002,f4999,f4285,f4027])).
% 33.03/4.60 fof(f5015,plain,(
% 33.03/4.60 spl0_134 <=> ~element(X0,the_carrier(sk0_167))|cast_to_el_of_LattPOSet(sk0_167,X0)=X0),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f5018,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_167)|~latt_str(sk0_167)|~element(X0,the_carrier(sk0_167))|cast_to_el_of_LattPOSet(sk0_167,X0)=X0)),
% 33.03/4.60 inference(resolution,[status(thm)],[f1152,f2134])).
% 33.03/4.60 fof(f5019,plain,(
% 33.03/4.60 spl0_63|~spl0_64|spl0_134),
% 33.03/4.60 inference(split_clause,[status(thm)],[f5018,f4068,f4071,f5015])).
% 33.03/4.60 fof(f5020,plain,(
% 33.03/4.60 spl0_135 <=> ~element(X0,the_carrier(sk0_359))|cast_to_el_of_LattPOSet(sk0_359,X0)=X0),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f5021,plain,(
% 33.03/4.60 ![X0]: (~element(X0,the_carrier(sk0_359))|cast_to_el_of_LattPOSet(sk0_359,X0)=X0|~spl0_135)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f5020])).
% 33.03/4.60 fof(f5023,plain,(
% 33.03/4.60 ![X0]: (empty_carrier(sk0_359)|~latt_str(sk0_359)|~element(X0,the_carrier(sk0_359))|cast_to_el_of_LattPOSet(sk0_359,X0)=X0)),
% 33.03/4.60 inference(resolution,[status(thm)],[f1152,f2948])).
% 33.03/4.60 fof(f5024,plain,(
% 33.03/4.60 spl0_54|~spl0_55|spl0_135),
% 33.03/4.60 inference(split_clause,[status(thm)],[f5023,f4021,f4024,f5020])).
% 33.03/4.60 fof(f5190,plain,(
% 33.03/4.60 ![X0,X1]: (~element(subset_complement(X0,X1),powerset(X0))|~element(X1,powerset(X0))|disjoint(subset_complement(X0,X1),X1))),
% 33.03/4.60 inference(resolution,[status(thm)],[f3081,f3856])).
% 33.03/4.60 fof(f5191,plain,(
% 33.03/4.60 ![X0,X1]: (~element(X0,powerset(X1))|disjoint(subset_complement(X1,X0),X0))),
% 33.03/4.60 inference(forward_subsumption_resolution,[status(thm)],[f5190,f1490])).
% 33.03/4.60 fof(f5196,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,set_intersection2(X0,subset_complement(X1,X0))))),
% 33.03/4.60 inference(resolution,[status(thm)],[f5191,f4187])).
% 33.03/4.60 fof(f5203,plain,(
% 33.03/4.60 spl0_136 <=> ~element(X0,powerset(X1))|cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(set_intersection2(X0,subset_complement(X1,X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(set_intersection2(X0,subset_complement(X1,X0))),the_carrier(poset_of_lattice(sk0_359)))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f5206,plain,(
% 33.03/4.60 spl0_137 <=> element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))),
% 33.03/4.60 introduced(split_symbol_definition)).
% 33.03/4.60 fof(f5207,plain,(
% 33.03/4.60 ![X0]: (element(the_carrier(poset_of_lattice(sk0_359)),powerset(X0))|~spl0_137)),
% 33.03/4.60 inference(component_clause,[status(thm)],[f5206])).
% 33.03/4.60 fof(f5209,plain,(
% 33.03/4.60 ![X0,X1,X2]: (~element(X0,powerset(X1))|cast_to_el_of_lattice(sk0_359,sk0_132(sk0_146(set_intersection2(X0,subset_complement(X1,X0))),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(sk0_146(set_intersection2(X0,subset_complement(X1,X0))),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|~spl0_56)),
% 33.28/4.61 inference(resolution,[status(thm)],[f5196,f4431])).
% 33.28/4.61 fof(f5210,plain,(
% 33.28/4.61 spl0_136|spl0_137|~spl0_56),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5209,f5203,f5206,f4027])).
% 33.28/4.61 fof(f5211,plain,(
% 33.28/4.61 spl0_138 <=> ~element(X0,powerset(X1))|cast_to_el_of_lattice(sk0_359,sk0_132(set_intersection2(X0,subset_complement(X1,X0)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(set_intersection2(X0,subset_complement(X1,X0)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5214,plain,(
% 33.28/4.61 ![X0,X1,X2]: (~element(X0,powerset(X1))|cast_to_el_of_lattice(sk0_359,sk0_132(set_intersection2(X0,subset_complement(X1,X0)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(set_intersection2(X0,subset_complement(X1,X0)),the_carrier(poset_of_lattice(sk0_359)))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|~spl0_56)),
% 33.28/4.61 inference(resolution,[status(thm)],[f5196,f4299])).
% 33.28/4.61 fof(f5215,plain,(
% 33.28/4.61 spl0_138|spl0_137|~spl0_56),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5214,f5211,f5206,f4027])).
% 33.28/4.61 fof(f5501,plain,(
% 33.28/4.61 ![X0]: (subset_complement(X0,subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))))=the_carrier(poset_of_lattice(sk0_359))|~spl0_137)),
% 33.28/4.61 inference(resolution,[status(thm)],[f5207,f1883])).
% 33.28/4.61 fof(f5505,plain,(
% 33.28/4.61 ![X0,X1]: (~in(X0,the_carrier(poset_of_lattice(sk0_359)))|in(X0,X1)|~spl0_137)),
% 33.28/4.61 inference(resolution,[status(thm)],[f5207,f1928])).
% 33.28/4.61 fof(f5506,plain,(
% 33.28/4.61 spl0_141 <=> element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5509,plain,(
% 33.28/4.61 spl0_142 <=> the_carrier(poset_of_lattice(sk0_359))=the_carrier(poset_of_lattice(sk0_359))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5512,plain,(
% 33.28/4.61 ![X0]: (element(sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))),the_carrier(sk0_359))|the_carrier(poset_of_lattice(sk0_359))=the_carrier(poset_of_lattice(sk0_359))|~spl0_137|~spl0_57|~spl0_56)),
% 33.28/4.61 inference(backward_demodulation,[status(thm)],[f5501,f4579])).
% 33.28/4.61 fof(f5513,plain,(
% 33.28/4.61 spl0_141|spl0_142|~spl0_137|~spl0_57|~spl0_56),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5512,f5506,f5509,f5206,f4038,f4027])).
% 33.28/4.61 fof(f5514,plain,(
% 33.28/4.61 spl0_143 <=> ~element(subset_complement(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),powerset(powerset(cartesian_product2(X0,X1))))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5517,plain,(
% 33.28/4.61 ![X0,X1,X2]: (~element(subset_complement(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))),powerset(powerset(cartesian_product2(X0,X1))))|element(the_carrier(poset_of_lattice(sk0_359)),powerset(X2))|relation(sk0_132(X2,the_carrier(poset_of_lattice(sk0_359))))|cast_to_el_of_lattice(sk0_359,sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359))))=sk0_132(powerset(cartesian_product2(X0,X1)),the_carrier(poset_of_lattice(sk0_359)))|~spl0_137|~spl0_56)),
% 33.28/4.61 inference(backward_demodulation,[status(thm)],[f5501,f4795])).
% 33.28/4.61 fof(f5518,plain,(
% 33.28/4.61 spl0_143|spl0_86|~spl0_137|~spl0_56),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5517,f5514,f4347,f5206,f4027])).
% 33.28/4.61 fof(f5527,plain,(
% 33.28/4.61 spl0_144 <=> ~element(subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))),powerset(X0))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5530,plain,(
% 33.28/4.61 spl0_145 <=> ~in(X1,the_carrier(poset_of_lattice(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5533,plain,(
% 33.28/4.61 ![X0,X1]: (~element(subset_complement(X0,the_carrier(poset_of_lattice(sk0_359))),powerset(X0))|~in(X1,the_carrier(poset_of_lattice(sk0_359)))|cast_to_el_of_lattice(sk0_359,sk0_132(X0,the_carrier(poset_of_lattice(sk0_359))))=sk0_132(X0,the_carrier(poset_of_lattice(sk0_359)))|~spl0_137|~spl0_56)),
% 33.28/4.61 inference(backward_subsumption_resolution,[status(thm)],[f4997,f5505])).
% 33.28/4.61 fof(f5534,plain,(
% 33.28/4.61 spl0_144|spl0_145|~spl0_137|~spl0_56),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5533,f5527,f5530,f5206,f4027])).
% 33.28/4.61 fof(f5547,plain,(
% 33.28/4.61 cast_to_el_of_LattPOSet(sk0_359,sk0_119(the_carrier(sk0_359)))=sk0_119(the_carrier(sk0_359))|~spl0_135),
% 33.28/4.61 inference(resolution,[status(thm)],[f5021,f1578])).
% 33.28/4.61 fof(f5549,plain,(
% 33.28/4.61 cast_to_el_of_LattPOSet(sk0_359,sk0_360)=sk0_360|~spl0_135|~spl0_59),
% 33.28/4.61 inference(resolution,[status(thm)],[f5021,f4047])).
% 33.28/4.61 fof(f5550,plain,(
% 33.28/4.61 spl0_146 <=> latt_set_smaller(sk0_359,sk0_360,X0)|~relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5551,plain,(
% 33.28/4.61 ![X0]: (latt_set_smaller(sk0_359,sk0_360,X0)|~relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)|~spl0_146)),
% 33.28/4.61 inference(component_clause,[status(thm)],[f5550])).
% 33.28/4.61 fof(f5553,plain,(
% 33.28/4.61 ![X0]: (~element(sk0_360,the_carrier(sk0_359))|latt_set_smaller(sk0_359,sk0_360,X0)|~relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)|~spl0_60|~spl0_135|~spl0_59)),
% 33.28/4.61 inference(paramodulation,[status(thm)],[f5549,f4054])).
% 33.28/4.61 fof(f5554,plain,(
% 33.28/4.61 ~spl0_59|spl0_146|~spl0_60|~spl0_135),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5553,f4046,f5550,f4053,f5020])).
% 33.28/4.61 fof(f5555,plain,(
% 33.28/4.61 spl0_147 <=> ~latt_set_smaller(sk0_359,sk0_360,X0)|relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5556,plain,(
% 33.28/4.61 ![X0]: (~latt_set_smaller(sk0_359,sk0_360,X0)|relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)|~spl0_147)),
% 33.28/4.61 inference(component_clause,[status(thm)],[f5555])).
% 33.28/4.61 fof(f5558,plain,(
% 33.28/4.61 ![X0]: (empty_carrier(sk0_359)|~lattice(sk0_359)|~latt_str(sk0_359)|~element(sk0_360,the_carrier(sk0_359))|~latt_set_smaller(sk0_359,sk0_360,X0)|relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_360)|~spl0_135|~spl0_59)),
% 33.28/4.61 inference(paramodulation,[status(thm)],[f5549,f2931])).
% 33.28/4.61 fof(f5559,plain,(
% 33.28/4.61 spl0_54|~spl0_62|~spl0_55|~spl0_59|spl0_147|~spl0_135),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5558,f4021,f4061,f4024,f4046,f5555,f5020])).
% 33.28/4.61 fof(f5588,plain,(
% 33.28/4.61 spl0_150 <=> element(sk0_119(the_carrier(sk0_359)),the_carrier(sk0_359))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5590,plain,(
% 33.28/4.61 ~element(sk0_119(the_carrier(sk0_359)),the_carrier(sk0_359))|spl0_150),
% 33.28/4.61 inference(component_clause,[status(thm)],[f5588])).
% 33.28/4.61 fof(f5591,plain,(
% 33.28/4.61 spl0_151 <=> latt_set_smaller(sk0_359,sk0_119(the_carrier(sk0_359)),X0)|~relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_119(the_carrier(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5594,plain,(
% 33.28/4.61 ![X0]: (~element(sk0_119(the_carrier(sk0_359)),the_carrier(sk0_359))|latt_set_smaller(sk0_359,sk0_119(the_carrier(sk0_359)),X0)|~relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_119(the_carrier(sk0_359)))|~spl0_60|~spl0_135)),
% 33.28/4.61 inference(paramodulation,[status(thm)],[f5547,f4054])).
% 33.28/4.61 fof(f5595,plain,(
% 33.28/4.61 ~spl0_150|spl0_151|~spl0_60|~spl0_135),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5594,f5588,f5591,f4053,f5020])).
% 33.28/4.61 fof(f5596,plain,(
% 33.28/4.61 spl0_152 <=> ~latt_set_smaller(sk0_359,sk0_119(the_carrier(sk0_359)),X0)|relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_119(the_carrier(sk0_359)))),
% 33.28/4.61 introduced(split_symbol_definition)).
% 33.28/4.61 fof(f5599,plain,(
% 33.28/4.61 ![X0]: (empty_carrier(sk0_359)|~lattice(sk0_359)|~latt_str(sk0_359)|~element(sk0_119(the_carrier(sk0_359)),the_carrier(sk0_359))|~latt_set_smaller(sk0_359,sk0_119(the_carrier(sk0_359)),X0)|relstr_element_smaller(poset_of_lattice(sk0_359),X0,sk0_119(the_carrier(sk0_359)))|~spl0_135)),
% 33.28/4.61 inference(paramodulation,[status(thm)],[f5547,f2931])).
% 33.28/4.61 fof(f5600,plain,(
% 33.28/4.61 spl0_54|~spl0_62|~spl0_55|~spl0_150|spl0_152|~spl0_135),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5599,f4021,f4061,f4024,f5588,f5596,f5020])).
% 33.28/4.61 fof(f5601,plain,(
% 33.28/4.61 $false|spl0_150),
% 33.28/4.61 inference(forward_subsumption_resolution,[status(thm)],[f5590,f1578])).
% 33.28/4.61 fof(f5602,plain,(
% 33.28/4.61 spl0_150),
% 33.28/4.61 inference(contradiction_clause,[status(thm)],[f5601])).
% 33.28/4.61 fof(f5603,plain,(
% 33.28/4.61 latt_set_smaller(sk0_359,sk0_360,sk0_361)|~spl0_146|~spl0_31),
% 33.28/4.61 inference(resolution,[status(thm)],[f5551,f3767])).
% 33.28/4.61 fof(f5604,plain,(
% 33.28/4.61 $false|~spl0_56|spl0_32|~spl0_146|~spl0_31),
% 33.28/4.61 inference(forward_subsumption_resolution,[status(thm)],[f5603,f4037])).
% 33.28/4.61 fof(f5605,plain,(
% 33.28/4.61 ~spl0_56|spl0_32|~spl0_146|~spl0_31),
% 33.28/4.61 inference(contradiction_clause,[status(thm)],[f5604])).
% 33.28/4.61 fof(f5606,plain,(
% 33.28/4.61 latt_set_smaller(sk0_359,sk0_360,sk0_361)|~spl0_56|~spl0_32),
% 33.28/4.61 inference(forward_demodulation,[status(thm)],[f4036,f3770])).
% 33.28/4.61 fof(f5607,plain,(
% 33.28/4.61 relstr_element_smaller(poset_of_lattice(sk0_359),sk0_361,sk0_360)|~spl0_147|~spl0_56|~spl0_32),
% 33.28/4.61 inference(resolution,[status(thm)],[f5556,f5606])).
% 33.28/4.61 fof(f5608,plain,(
% 33.28/4.61 spl0_31|~spl0_147|~spl0_56|~spl0_32),
% 33.28/4.61 inference(split_clause,[status(thm)],[f5607,f3766,f5555,f4027,f3769])).
% 33.28/4.61 fof(f5609,plain,(
% 33.28/4.61 $false),
% 33.28/4.61 inference(sat_refutation,[status(thm)],[f3772,f3773,f4031,f4033,f4035,f4042,f4050,f4052,f4057,f4065,f4067,f4078,f4083,f4088,f4090,f4092,f4128,f4130,f4143,f4145,f4147,f4155,f4157,f4289,f4313,f4322,f4333,f4338,f4343,f4351,f4365,f4370,f4382,f4387,f4396,f4401,f4413,f4418,f4423,f4428,f4462,f4471,f4476,f4488,f4493,f4500,f4506,f4513,f4515,f4517,f4542,f4547,f4559,f4564,f4577,f4584,f4591,f4593,f4606,f4614,f4616,f4618,f4623,f4638,f4643,f4655,f4660,f4662,f4674,f4676,f4694,f4708,f5003,f5019,f5024,f5210,f5215,f5513,f5518,f5534,f5554,f5559,f5595,f5600,f5602,f5605,f5608])).
% 33.28/4.61 % SZS output end CNFRefutation for theBenchmark.p
% 33.45/4.64 % Elapsed time: 4.284718 seconds
% 33.45/4.64 % CPU time: 33.338802 seconds
% 33.45/4.64 % Total memory used: 359.548 MB
% 33.45/4.64 % Net memory used: 349.813 MB
%------------------------------------------------------------------------------