TSTP Solution File: SEU350+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:47 EDT 2023
% Result : Theorem 5.69s 1.15s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU350+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:08:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.41 % Drodi V3.5.1
% 5.69/1.15 % Refutation found
% 5.69/1.15 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.69/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.69/1.15 fof(f8,axiom,(
% 5.69/1.15 (! [A] :( v4_membered(A)=> (! [B] :( element(B,A)=> ( v1_xcmplx_0(B)& v1_xreal_0(B)& v1_int_1(B)& v1_rat_1(B) ) ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f9,axiom,(
% 5.69/1.15 (! [A] :( v5_membered(A)=> (! [B] :( element(B,A)=> ( v1_xcmplx_0(B)& natural(B)& v1_xreal_0(B)& v1_int_1(B)& v1_rat_1(B) ) ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f14,axiom,(
% 5.69/1.15 (! [A] :( v4_membered(A)=> (! [B] :( element(B,powerset(A))=> ( v1_membered(B)& v2_membered(B)& v3_membered(B)& v4_membered(B) ) ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f15,axiom,(
% 5.69/1.15 (! [A] :( ordinal(A)=> (! [B] :( element(B,A)=> ( epsilon_transitive(B)& epsilon_connected(B)& ordinal(B) ) ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f19,axiom,(
% 5.69/1.15 (! [A] :( latt_str(A)=> ( ( ~ empty_carrier(A)& lattice(A) )=> ( ~ empty_carrier(A)& join_commutative(A)& join_associative(A)& meet_commutative(A)& meet_associative(A)& meet_absorbing(A)& join_absorbing(A) ) ) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f39,axiom,(
% 5.69/1.15 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f59,axiom,(
% 5.69/1.15 (! [A] :( ( ~ empty_carrier(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( latt_element_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,C)=> below(A,D,B) ) ) )) )) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f97,axiom,(
% 5.69/1.15 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f106,axiom,(
% 5.69/1.15 (! [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 ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f117,axiom,(
% 5.69/1.15 (! [A] :( A = omega<=> ( in(empty_set,A)& being_limit_ordinal(A)& ordinal(A)& (! [B] :( ordinal(B)=> ( ( in(empty_set,B)& being_limit_ordinal(B) )=> subset(A,B) ) ) )) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f131,axiom,(
% 5.69/1.15 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f142,axiom,(
% 5.69/1.15 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_set_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,D,C) ) ) )) ) )) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f153,axiom,(
% 5.69/1.15 (! [A] :( strict_latt_str(boole_lattice(A))& latt_str(boole_lattice(A)) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f157,axiom,(
% 5.69/1.15 (! [A] :( one_sorted_str(A)=> element(empty_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f171,axiom,(
% 5.69/1.15 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f178,axiom,(
% 5.69/1.15 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> ( strict_rel_str(poset_of_lattice(A))& reflexive_relstr(poset_of_lattice(A))& transitive_relstr(poset_of_lattice(A))& antisymmetric_relstr(poset_of_lattice(A))& rel_str(poset_of_lattice(A)) ) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f191,axiom,(
% 5.69/1.15 (! [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)) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f209,axiom,(
% 5.69/1.15 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 5.69/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.15 fof(f212,axiom,(
% 5.69/1.15 (! [A] :( join_semilatt_str(A)=> one_sorted_str(A) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f213,axiom,(
% 5.69/1.16 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f248,axiom,(
% 5.69/1.16 (! [A] :( one_sorted_str(A)=> ( empty(empty_carrier_subset(A))& v1_membered(empty_carrier_subset(A))& v2_membered(empty_carrier_subset(A))& v3_membered(empty_carrier_subset(A))& v4_membered(empty_carrier_subset(A))& v5_membered(empty_carrier_subset(A)) ) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f327,lemma,(
% 5.69/1.16 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f353,axiom,(
% 5.69/1.16 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f372,axiom,(
% 5.69/1.16 (? [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) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f391,axiom,(
% 5.69/1.16 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ordinal_subset(A,A) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f394,axiom,(
% 5.69/1.16 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& join_absorbing(A)& latt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> below_refl(A,B,B) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f484,lemma,(
% 5.69/1.16 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f524,lemma,(
% 5.69/1.16 (! [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) ) ) )) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f526,axiom,(
% 5.69/1.16 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f532,lemma,(
% 5.69/1.16 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(B))=> ( latt_element_smaller(B,C,A)<=> relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) )) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f535,conjecture,(
% 5.69/1.16 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f536,negated_conjecture,(
% 5.69/1.16 ~((! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) ))),
% 5.69/1.16 inference(negated_conjecture,[status(cth)],[f535])).
% 5.69/1.16 fof(f558,axiom,(
% 5.69/1.16 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f583,axiom,(
% 5.69/1.16 (! [A] : set_difference(empty_set,A) = empty_set )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f584,axiom,(
% 5.69/1.16 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f609,lemma,(
% 5.69/1.16 (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f626,lemma,(
% 5.69/1.16 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 5.69/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.69/1.16 fof(f659,plain,(
% 5.69/1.16 ![A]: (~v4_membered(A)|(![B]: (~element(B,A)|(((v1_xcmplx_0(B)&v1_xreal_0(B))&v1_int_1(B))&v1_rat_1(B)))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 5.69/1.16 fof(f660,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,X0)|v1_xcmplx_0(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f659])).
% 5.69/1.16 fof(f661,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,X0)|v1_xreal_0(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f659])).
% 5.69/1.16 fof(f662,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,X0)|v1_int_1(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f659])).
% 5.69/1.16 fof(f663,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,X0)|v1_rat_1(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f659])).
% 5.69/1.16 fof(f664,plain,(
% 5.69/1.16 ![A]: (~v5_membered(A)|(![B]: (~element(B,A)|((((v1_xcmplx_0(B)&natural(B))&v1_xreal_0(B))&v1_int_1(B))&v1_rat_1(B)))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 5.69/1.16 fof(f666,plain,(
% 5.69/1.16 ![X0,X1]: (~v5_membered(X0)|~element(X1,X0)|natural(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f664])).
% 5.69/1.16 fof(f685,plain,(
% 5.69/1.16 ![A]: (~v4_membered(A)|(![B]: (~element(B,powerset(A))|(((v1_membered(B)&v2_membered(B))&v3_membered(B))&v4_membered(B)))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 5.69/1.16 fof(f686,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,powerset(X0))|v1_membered(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f685])).
% 5.69/1.16 fof(f687,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,powerset(X0))|v2_membered(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f685])).
% 5.69/1.16 fof(f688,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,powerset(X0))|v3_membered(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f685])).
% 5.69/1.16 fof(f689,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|~element(X1,powerset(X0))|v4_membered(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f685])).
% 5.69/1.16 fof(f690,plain,(
% 5.69/1.16 ![A]: (~ordinal(A)|(![B]: (~element(B,A)|((epsilon_transitive(B)&epsilon_connected(B))&ordinal(B)))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 5.69/1.16 fof(f691,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|epsilon_transitive(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f690])).
% 5.69/1.16 fof(f692,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|epsilon_connected(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f690])).
% 5.69/1.16 fof(f693,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|~element(X1,X0)|ordinal(X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f690])).
% 5.69/1.16 fof(f701,plain,(
% 5.69/1.16 ![A]: (~latt_str(A)|((empty_carrier(A)|~lattice(A))|((((((~empty_carrier(A)&join_commutative(A))&join_associative(A))&meet_commutative(A))&meet_associative(A))&meet_absorbing(A))&join_absorbing(A))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 5.69/1.16 fof(f703,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_commutative(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f704,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_associative(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f705,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_commutative(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f706,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_associative(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f707,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|meet_absorbing(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f708,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|empty_carrier(X0)|~lattice(X0)|join_absorbing(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f701])).
% 5.69/1.16 fof(f762,plain,(
% 5.69/1.16 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f39])).
% 5.69/1.16 fof(f893,plain,(
% 5.69/1.16 ![A]: ((empty_carrier(A)|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (latt_element_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,C)|below(A,D,B)))))))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 5.69/1.16 fof(f894,plain,(
% 5.69/1.16 ![A]: ((empty_carrier(A)|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: ((~latt_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,C)|below(A,D,B)))))&(latt_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,C)&~below(A,D,B))))))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f893])).
% 5.69/1.16 fof(f895,plain,(
% 5.69/1.16 ![A]: ((empty_carrier(A)|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|((![C]: (~latt_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,C)|below(A,D,B))))))&(![C]: (latt_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,C)&~below(A,D,B))))))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f894])).
% 5.69/1.16 fof(f896,plain,(
% 5.69/1.16 ![A]: ((empty_carrier(A)|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|((![C]: (~latt_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,C)|below(A,D,B))))))&(![C]: (latt_element_smaller(A,B,C)|(element(sk0_23(C,B,A),the_carrier(A))&(in(sk0_23(C,B,A),C)&~below(A,sk0_23(C,B,A),B)))))))))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f895])).
% 5.69/1.16 fof(f897,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (empty_carrier(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|~element(X3,the_carrier(X0))|~in(X3,X2)|below(X0,X3,X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f896])).
% 5.69/1.16 fof(f1163,plain,(
% 5.69/1.16 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 5.69/1.16 fof(f1164,plain,(
% 5.69/1.16 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1163])).
% 5.69/1.16 fof(f1219,plain,(
% 5.69/1.16 ![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)))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 5.69/1.16 fof(f1220,plain,(
% 5.69/1.16 ![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)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1219])).
% 5.69/1.16 fof(f1294,plain,(
% 5.69/1.16 ![A]: (A=omega<=>(((in(empty_set,A)&being_limit_ordinal(A))&ordinal(A))&(![B]: (~ordinal(B)|((~in(empty_set,B)|~being_limit_ordinal(B))|subset(A,B))))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f117])).
% 5.69/1.16 fof(f1295,plain,(
% 5.69/1.16 ![A]: ((~A=omega|(((in(empty_set,A)&being_limit_ordinal(A))&ordinal(A))&(![B]: (~ordinal(B)|((~in(empty_set,B)|~being_limit_ordinal(B))|subset(A,B))))))&(A=omega|(((~in(empty_set,A)|~being_limit_ordinal(A))|~ordinal(A))|(?[B]: (ordinal(B)&((in(empty_set,B)&being_limit_ordinal(B))&~subset(A,B)))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f1294])).
% 5.69/1.16 fof(f1296,plain,(
% 5.69/1.16 (![A]: (~A=omega|(((in(empty_set,A)&being_limit_ordinal(A))&ordinal(A))&(![B]: (~ordinal(B)|((~in(empty_set,B)|~being_limit_ordinal(B))|subset(A,B)))))))&(![A]: (A=omega|(((~in(empty_set,A)|~being_limit_ordinal(A))|~ordinal(A))|(?[B]: (ordinal(B)&((in(empty_set,B)&being_limit_ordinal(B))&~subset(A,B)))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f1295])).
% 5.69/1.16 fof(f1297,plain,(
% 5.69/1.16 (![A]: (~A=omega|(((in(empty_set,A)&being_limit_ordinal(A))&ordinal(A))&(![B]: (~ordinal(B)|((~in(empty_set,B)|~being_limit_ordinal(B))|subset(A,B)))))))&(![A]: (A=omega|(((~in(empty_set,A)|~being_limit_ordinal(A))|~ordinal(A))|(ordinal(sk0_89(A))&((in(empty_set,sk0_89(A))&being_limit_ordinal(sk0_89(A)))&~subset(A,sk0_89(A)))))))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f1296])).
% 5.69/1.16 fof(f1300,plain,(
% 5.69/1.16 ![X0]: (~X0=omega|ordinal(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1297])).
% 5.69/1.16 fof(f1377,plain,(
% 5.69/1.16 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f131])).
% 5.69/1.16 fof(f1378,plain,(
% 5.69/1.16 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f1377])).
% 5.69/1.16 fof(f1380,plain,(
% 5.69/1.16 ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1378])).
% 5.69/1.16 fof(f1446,plain,(
% 5.69/1.16 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_set_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f142])).
% 5.69/1.16 fof(f1447,plain,(
% 5.69/1.16 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C)))))&(relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C)))))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f1446])).
% 5.69/1.16 fof(f1448,plain,(
% 5.69/1.16 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C))))))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f1447])).
% 5.69/1.16 fof(f1449,plain,(
% 5.69/1.16 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(element(sk0_112(B,C,A),the_carrier(A))&(in(sk0_112(B,C,A),B)&~related(A,sk0_112(B,C,A),C)))))))))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f1448])).
% 5.69/1.16 fof(f1450,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~relstr_set_smaller(X0,X2,X1)|~element(X3,the_carrier(X0))|~in(X3,X2)|related(X0,X3,X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1449])).
% 5.69/1.16 fof(f1472,plain,(
% 5.69/1.16 (![A]: strict_latt_str(boole_lattice(A)))&(![A]: latt_str(boole_lattice(A)))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f153])).
% 5.69/1.16 fof(f1474,plain,(
% 5.69/1.16 ![X0]: (latt_str(boole_lattice(X0)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1472])).
% 5.69/1.16 fof(f1477,plain,(
% 5.69/1.16 ![A]: (~one_sorted_str(A)|element(empty_carrier_subset(A),powerset(the_carrier(A))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f157])).
% 5.69/1.16 fof(f1478,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|element(empty_carrier_subset(X0),powerset(the_carrier(X0))))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1477])).
% 5.69/1.16 fof(f1495,plain,(
% 5.69/1.16 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f171])).
% 5.69/1.16 fof(f1496,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1495])).
% 5.69/1.16 fof(f1501,plain,(
% 5.69/1.16 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|((((strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A)))&transitive_relstr(poset_of_lattice(A)))&antisymmetric_relstr(poset_of_lattice(A)))&rel_str(poset_of_lattice(A))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f178])).
% 5.69/1.16 fof(f1506,plain,(
% 5.69/1.16 ![X0]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|rel_str(poset_of_lattice(X0)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1501])).
% 5.69/1.16 fof(f1521,plain,(
% 5.69/1.16 ![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)))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f191])).
% 5.69/1.16 fof(f1522,plain,(
% 5.69/1.16 ![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)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1521])).
% 5.69/1.16 fof(f1555,plain,(
% 5.69/1.16 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f209])).
% 5.69/1.16 fof(f1556,plain,(
% 5.69/1.16 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1555])).
% 5.69/1.16 fof(f1559,plain,(
% 5.69/1.16 ![A]: (~join_semilatt_str(A)|one_sorted_str(A))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f212])).
% 5.69/1.16 fof(f1560,plain,(
% 5.69/1.16 ![X0]: (~join_semilatt_str(X0)|one_sorted_str(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1559])).
% 5.69/1.16 fof(f1561,plain,(
% 5.69/1.16 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f213])).
% 5.69/1.16 fof(f1563,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1561])).
% 5.69/1.16 fof(f1647,plain,(
% 5.69/1.16 ![A]: (~one_sorted_str(A)|(((((empty(empty_carrier_subset(A))&v1_membered(empty_carrier_subset(A)))&v2_membered(empty_carrier_subset(A)))&v3_membered(empty_carrier_subset(A)))&v4_membered(empty_carrier_subset(A)))&v5_membered(empty_carrier_subset(A))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f248])).
% 5.69/1.16 fof(f1651,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|v3_membered(empty_carrier_subset(X0)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1647])).
% 5.69/1.16 fof(f1652,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|v4_membered(empty_carrier_subset(X0)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1647])).
% 5.69/1.16 fof(f1653,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|v5_membered(empty_carrier_subset(X0)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1647])).
% 5.69/1.16 fof(f1943,plain,(
% 5.69/1.16 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f327])).
% 5.69/1.16 fof(f1944,plain,(
% 5.69/1.16 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f1943])).
% 5.69/1.16 fof(f1945,plain,(
% 5.69/1.16 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f1944])).
% 5.69/1.16 fof(f2063,plain,(
% 5.69/1.16 (((((rel_str(sk0_150)&~empty_carrier(sk0_150))&strict_rel_str(sk0_150))&reflexive_relstr(sk0_150))&transitive_relstr(sk0_150))&antisymmetric_relstr(sk0_150))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f353])).
% 5.69/1.16 fof(f2064,plain,(
% 5.69/1.16 rel_str(sk0_150)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2063])).
% 5.69/1.16 fof(f2144,plain,(
% 5.69/1.16 (((((((((latt_str(sk0_169)&~empty_carrier(sk0_169))&strict_latt_str(sk0_169))&join_commutative(sk0_169))&join_associative(sk0_169))&meet_commutative(sk0_169))&meet_associative(sk0_169))&meet_absorbing(sk0_169))&join_absorbing(sk0_169))&lattice(sk0_169))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f372])).
% 5.69/1.16 fof(f2145,plain,(
% 5.69/1.16 latt_str(sk0_169)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2144])).
% 5.69/1.16 fof(f2201,plain,(
% 5.69/1.16 ![A,B]: ((~ordinal(A)|~ordinal(B))|ordinal_subset(A,A))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f391])).
% 5.69/1.16 fof(f2202,plain,(
% 5.69/1.16 ![A]: ((~ordinal(A)|(![B]: ~ordinal(B)))|ordinal_subset(A,A))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f2201])).
% 5.69/1.16 fof(f2203,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2202])).
% 5.69/1.16 fof(f2208,plain,(
% 5.69/1.16 ![A,B,C]: (((((((empty_carrier(A)|~meet_commutative(A))|~meet_absorbing(A))|~join_absorbing(A))|~latt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|below_refl(A,B,B))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f394])).
% 5.69/1.16 fof(f2209,plain,(
% 5.69/1.16 ![A,B]: (((((((empty_carrier(A)|~meet_commutative(A))|~meet_absorbing(A))|~join_absorbing(A))|~latt_str(A))|~element(B,the_carrier(A)))|(![C]: ~element(C,the_carrier(A))))|below_refl(A,B,B))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f2208])).
% 5.69/1.16 fof(f2210,plain,(
% 5.69/1.16 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_absorbing(X0)|~join_absorbing(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below_refl(X0,X1,X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2209])).
% 5.69/1.16 fof(f2840,plain,(
% 5.69/1.16 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f484])).
% 5.69/1.16 fof(f2963,plain,(
% 5.69/1.16 ![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)))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f524])).
% 5.69/1.16 fof(f2964,plain,(
% 5.69/1.16 ![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))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f2963])).
% 5.69/1.16 fof(f2965,plain,(
% 5.69/1.16 ![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)))&(![A]: (relstr_element_smaller(poset_of_lattice(B),A,C)|~latt_set_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f2964])).
% 5.69/1.16 fof(f2966,plain,(
% 5.69/1.16 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|~relstr_element_smaller(poset_of_lattice(X0),X2,X1)|latt_set_smaller(X0,cast_to_el_of_lattice(X0,X1),X2))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2965])).
% 5.69/1.16 fof(f2967,plain,(
% 5.69/1.16 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|relstr_element_smaller(poset_of_lattice(X0),X2,X1)|~latt_set_smaller(X0,cast_to_el_of_lattice(X0,X1),X2))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2965])).
% 5.69/1.16 fof(f2972,plain,(
% 5.69/1.16 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f526])).
% 5.69/1.16 fof(f2986,plain,(
% 5.69/1.16 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|(latt_element_smaller(B,C,A)<=>relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f532])).
% 5.69/1.16 fof(f2987,plain,(
% 5.69/1.16 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))&(latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f2986])).
% 5.69/1.16 fof(f2988,plain,(
% 5.69/1.16 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((![A]: (~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))&(![A]: (latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f2987])).
% 5.69/1.16 fof(f2989,plain,(
% 5.69/1.16 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2988])).
% 5.69/1.16 fof(f2990,plain,(
% 5.69/1.16 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|latt_element_smaller(X0,X1,X2)|~relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f2988])).
% 5.69/1.16 fof(f2999,plain,(
% 5.69/1.16 (?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(relstr_set_smaller(poset_of_lattice(B),A,C)<~>latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f536])).
% 5.69/1.16 fof(f3000,plain,(
% 5.69/1.16 ?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f2999])).
% 5.69/1.16 fof(f3001,plain,(
% 5.69/1.16 ?[B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(?[A]: ((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f3000])).
% 5.69/1.16 fof(f3002,plain,(
% 5.69/1.16 (((~empty_carrier(sk0_362)&lattice(sk0_362))&latt_str(sk0_362))&(element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))&((relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364))&(~relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)))))),
% 5.69/1.16 inference(skolemization,[status(esa)],[f3001])).
% 5.69/1.16 fof(f3003,plain,(
% 5.69/1.16 ~empty_carrier(sk0_362)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3004,plain,(
% 5.69/1.16 lattice(sk0_362)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3005,plain,(
% 5.69/1.16 latt_str(sk0_362)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3006,plain,(
% 5.69/1.16 element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3007,plain,(
% 5.69/1.16 relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3008,plain,(
% 5.69/1.16 ~relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3002])).
% 5.69/1.16 fof(f3082,plain,(
% 5.69/1.16 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f558])).
% 5.69/1.16 fof(f3083,plain,(
% 5.69/1.16 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f3082])).
% 5.69/1.16 fof(f3085,plain,(
% 5.69/1.16 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3083])).
% 5.69/1.16 fof(f3164,plain,(
% 5.69/1.16 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f583])).
% 5.69/1.16 fof(f3165,plain,(
% 5.69/1.16 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 5.69/1.16 inference(pre_NNF_transformation,[status(esa)],[f584])).
% 5.69/1.16 fof(f3166,plain,(
% 5.69/1.16 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f3165])).
% 5.69/1.16 fof(f3167,plain,(
% 5.69/1.16 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3166])).
% 5.69/1.16 fof(f3247,plain,(
% 5.69/1.16 ![A,B]: ((~set_difference(A,singleton(B))=A|~in(B,A))&(set_difference(A,singleton(B))=A|in(B,A)))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f609])).
% 5.69/1.16 fof(f3248,plain,(
% 5.69/1.16 (![A,B]: (~set_difference(A,singleton(B))=A|~in(B,A)))&(![A,B]: (set_difference(A,singleton(B))=A|in(B,A)))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f3247])).
% 5.69/1.16 fof(f3249,plain,(
% 5.69/1.16 ![X0,X1]: (~set_difference(X0,singleton(X1))=X0|~in(X1,X0))),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3248])).
% 5.69/1.16 fof(f3302,plain,(
% 5.69/1.16 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 5.69/1.16 inference(NNF_transformation,[status(esa)],[f626])).
% 5.69/1.16 fof(f3303,plain,(
% 5.69/1.16 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 5.69/1.16 inference(miniscoping,[status(esa)],[f3302])).
% 5.69/1.16 fof(f3305,plain,(
% 5.69/1.16 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 5.69/1.16 inference(cnf_transformation,[status(esa)],[f3303])).
% 5.69/1.16 fof(f3667,plain,(
% 5.69/1.16 spl0_0 <=> ~ordinal(X0)|ordinal_subset(X0,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f3670,plain,(
% 5.69/1.16 spl0_1 <=> ~ordinal(X1)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f3671,plain,(
% 5.69/1.16 ![X0]: (~ordinal(X0)|~spl0_1)),
% 5.69/1.16 inference(component_clause,[status(thm)],[f3670])).
% 5.69/1.16 fof(f3673,plain,(
% 5.69/1.16 spl0_0|spl0_1),
% 5.69/1.16 inference(split_clause,[status(thm)],[f2203,f3667,f3670])).
% 5.69/1.16 fof(f3796,plain,(
% 5.69/1.16 spl0_31 <=> relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f3797,plain,(
% 5.69/1.16 relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|~spl0_31),
% 5.69/1.16 inference(component_clause,[status(thm)],[f3796])).
% 5.69/1.16 fof(f3798,plain,(
% 5.69/1.16 ~relstr_set_smaller(poset_of_lattice(sk0_362),sk0_364,sk0_363)|spl0_31),
% 5.69/1.16 inference(component_clause,[status(thm)],[f3796])).
% 5.69/1.16 fof(f3799,plain,(
% 5.69/1.16 spl0_32 <=> latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f3800,plain,(
% 5.69/1.16 latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)|~spl0_32),
% 5.69/1.16 inference(component_clause,[status(thm)],[f3799])).
% 5.69/1.16 fof(f3801,plain,(
% 5.69/1.16 ~latt_element_smaller(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),sk0_364)|spl0_32),
% 5.69/1.16 inference(component_clause,[status(thm)],[f3799])).
% 5.69/1.16 fof(f3802,plain,(
% 5.69/1.16 spl0_31|spl0_32),
% 5.69/1.16 inference(split_clause,[status(thm)],[f3007,f3796,f3799])).
% 5.69/1.16 fof(f3803,plain,(
% 5.69/1.16 ~spl0_31|~spl0_32),
% 5.69/1.16 inference(split_clause,[status(thm)],[f3008,f3796,f3799])).
% 5.69/1.16 fof(f3974,plain,(
% 5.69/1.16 ordinal(omega)),
% 5.69/1.16 inference(destructive_equality_resolution,[status(esa)],[f1300])).
% 5.69/1.16 fof(f4136,plain,(
% 5.69/1.16 spl0_54 <=> rel_str(poset_of_lattice(sk0_362))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4138,plain,(
% 5.69/1.16 ~rel_str(poset_of_lattice(sk0_362))|spl0_54),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4136])).
% 5.69/1.16 fof(f4139,plain,(
% 5.69/1.16 spl0_55 <=> ~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,X0)|~in(sk0_363,X1)|related(poset_of_lattice(sk0_362),sk0_363,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4140,plain,(
% 5.69/1.16 ![X0,X1]: (~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,X0)|~in(sk0_363,X1)|related(poset_of_lattice(sk0_362),sk0_363,X0)|~spl0_55)),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4139])).
% 5.69/1.16 fof(f4142,plain,(
% 5.69/1.16 ![X0,X1]: (~rel_str(poset_of_lattice(sk0_362))|~element(X0,the_carrier(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,X0)|~in(sk0_363,X1)|related(poset_of_lattice(sk0_362),sk0_363,X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f1450,f3006])).
% 5.69/1.16 fof(f4143,plain,(
% 5.69/1.16 ~spl0_54|spl0_55),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4142,f4136,f4139])).
% 5.69/1.16 fof(f4145,plain,(
% 5.69/1.16 spl0_56 <=> empty_carrier(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4146,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~spl0_56),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4145])).
% 5.69/1.16 fof(f4148,plain,(
% 5.69/1.16 spl0_57 <=> lattice(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4150,plain,(
% 5.69/1.16 ~lattice(sk0_362)|spl0_57),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4148])).
% 5.69/1.16 fof(f4151,plain,(
% 5.69/1.16 spl0_58 <=> latt_str(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4153,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|spl0_58),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4151])).
% 5.69/1.16 fof(f4154,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|spl0_54),
% 5.69/1.16 inference(resolution,[status(thm)],[f4138,f1506])).
% 5.69/1.16 fof(f4155,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|spl0_54),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4154,f4145,f4148,f4151,f4136])).
% 5.69/1.16 fof(f4156,plain,(
% 5.69/1.16 $false|spl0_58),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f4153,f3005])).
% 5.69/1.16 fof(f4157,plain,(
% 5.69/1.16 spl0_58),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f4156])).
% 5.69/1.16 fof(f4158,plain,(
% 5.69/1.16 $false|spl0_57),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f4150,f3004])).
% 5.69/1.16 fof(f4159,plain,(
% 5.69/1.16 spl0_57),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f4158])).
% 5.69/1.16 fof(f4160,plain,(
% 5.69/1.16 $false|~spl0_56),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f4146,f3003])).
% 5.69/1.16 fof(f4161,plain,(
% 5.69/1.16 ~spl0_56),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f4160])).
% 5.69/1.16 fof(f4162,plain,(
% 5.69/1.16 spl0_59 <=> element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4164,plain,(
% 5.69/1.16 ~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|spl0_59),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4162])).
% 5.69/1.16 fof(f4170,plain,(
% 5.69/1.16 $false|spl0_59),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f4164,f3006])).
% 5.69/1.16 fof(f4171,plain,(
% 5.69/1.16 spl0_59),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f4170])).
% 5.69/1.16 fof(f4172,plain,(
% 5.69/1.16 spl0_61 <=> ~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~element(cast_to_el_of_LattPOSet(sk0_362,X0),the_carrier(poset_of_lattice(sk0_362)))|~in(sk0_363,X1)|related(poset_of_lattice(sk0_362),sk0_363,cast_to_el_of_LattPOSet(sk0_362,X0))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4175,plain,(
% 5.69/1.16 ![X0,X1]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~element(cast_to_el_of_LattPOSet(sk0_362,X0),the_carrier(poset_of_lattice(sk0_362)))|~in(sk0_363,X1)|related(poset_of_lattice(sk0_362),sk0_363,cast_to_el_of_LattPOSet(sk0_362,X0))|~spl0_55)),
% 5.69/1.16 inference(resolution,[status(thm)],[f2989,f4140])).
% 5.69/1.16 fof(f4176,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|spl0_61|~spl0_55),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4175,f4145,f4148,f4151,f4172,f4139])).
% 5.69/1.16 fof(f4179,plain,(
% 5.69/1.16 spl0_62 <=> element(cast_to_el_of_lattice(sk0_362,sk0_363),the_carrier(sk0_362))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4180,plain,(
% 5.69/1.16 element(cast_to_el_of_lattice(sk0_362,sk0_363),the_carrier(sk0_362))|~spl0_62),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4179])).
% 5.69/1.16 fof(f4181,plain,(
% 5.69/1.16 ~element(cast_to_el_of_lattice(sk0_362,sk0_363),the_carrier(sk0_362))|spl0_62),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4179])).
% 5.69/1.16 fof(f4187,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (empty_carrier(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|~in(cast_to_el_of_lattice(X0,X3),X2)|below(X0,cast_to_el_of_lattice(X0,X3),X1)|empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X3,the_carrier(poset_of_lattice(X0))))),
% 5.69/1.16 inference(resolution,[status(thm)],[f897,f1522])).
% 5.69/1.16 fof(f4188,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (empty_carrier(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|~in(cast_to_el_of_lattice(X0,X3),X2)|below(X0,cast_to_el_of_lattice(X0,X3),X1)|~lattice(X0)|~element(X3,the_carrier(poset_of_lattice(X0))))),
% 5.69/1.16 inference(duplicate_literals_removal,[status(esa)],[f4187])).
% 5.69/1.16 fof(f4201,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|spl0_62),
% 5.69/1.16 inference(resolution,[status(thm)],[f4181,f1522])).
% 5.69/1.16 fof(f4202,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4201,f4145,f4148,f4151,f4162,f4179])).
% 5.69/1.16 fof(f4214,plain,(
% 5.69/1.16 spl0_69 <=> ~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(cast_to_el_of_lattice(sk0_362,sk0_363),X1)|below(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4217,plain,(
% 5.69/1.16 ![X0,X1]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(cast_to_el_of_lattice(sk0_362,sk0_363),X1)|below(sk0_362,cast_to_el_of_lattice(sk0_362,sk0_363),X0)|~spl0_62)),
% 5.69/1.16 inference(resolution,[status(thm)],[f4180,f897])).
% 5.69/1.16 fof(f4218,plain,(
% 5.69/1.16 spl0_56|~spl0_58|spl0_69|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4217,f4145,f4151,f4214,f4179])).
% 5.69/1.16 fof(f4230,plain,(
% 5.69/1.16 spl0_72 <=> cast_to_el_of_lattice(sk0_362,sk0_363)=sk0_363),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4231,plain,(
% 5.69/1.16 cast_to_el_of_lattice(sk0_362,sk0_363)=sk0_363|~spl0_72),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4230])).
% 5.69/1.16 fof(f4233,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|cast_to_el_of_lattice(sk0_362,sk0_363)=sk0_363),
% 5.69/1.16 inference(resolution,[status(thm)],[f1220,f3006])).
% 5.69/1.16 fof(f4234,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|spl0_72),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4233,f4145,f4148,f4151,f4230])).
% 5.69/1.16 fof(f4238,plain,(
% 5.69/1.16 ~latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_72|spl0_32),
% 5.69/1.16 inference(backward_demodulation,[status(thm)],[f4231,f3801])).
% 5.69/1.16 fof(f4239,plain,(
% 5.69/1.16 element(sk0_363,the_carrier(sk0_362))|~spl0_72|~spl0_62),
% 5.69/1.16 inference(backward_demodulation,[status(thm)],[f4231,f4180])).
% 5.69/1.16 fof(f4240,plain,(
% 5.69/1.16 spl0_73 <=> element(sk0_363,the_carrier(sk0_362))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4243,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|element(sk0_363,the_carrier(sk0_362))|~spl0_72),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f4231,f1522])).
% 5.69/1.16 fof(f4244,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_73|~spl0_72),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4243,f4145,f4148,f4151,f4162,f4240,f4230])).
% 5.69/1.16 fof(f4245,plain,(
% 5.69/1.16 spl0_74 <=> ~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(sk0_363,X1)|below(sk0_362,sk0_363,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4248,plain,(
% 5.69/1.16 ![X0,X1]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(sk0_363,X1)|below(sk0_362,sk0_363,X0)|~spl0_72|~spl0_62)),
% 5.69/1.16 inference(resolution,[status(thm)],[f4239,f897])).
% 5.69/1.16 fof(f4249,plain,(
% 5.69/1.16 spl0_56|~spl0_58|spl0_74|~spl0_72|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4248,f4145,f4151,f4245,f4230,f4179])).
% 5.69/1.16 fof(f4262,plain,(
% 5.69/1.16 spl0_77 <=> ~relstr_element_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|latt_set_smaller(sk0_362,sk0_363,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4265,plain,(
% 5.69/1.16 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|~relstr_element_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|latt_set_smaller(sk0_362,sk0_363,X0)|~spl0_72)),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f4231,f2966])).
% 5.69/1.16 fof(f4266,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_77|~spl0_72),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4265,f4145,f4148,f4151,f4162,f4262,f4230])).
% 5.69/1.16 fof(f4267,plain,(
% 5.69/1.16 spl0_78 <=> relstr_element_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~latt_set_smaller(sk0_362,sk0_363,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4270,plain,(
% 5.69/1.16 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|relstr_element_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~latt_set_smaller(sk0_362,sk0_363,X0)|~spl0_72)),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f4231,f2967])).
% 5.69/1.16 fof(f4271,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_78|~spl0_72),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4270,f4145,f4148,f4151,f4162,f4267,f4230])).
% 5.69/1.16 fof(f4272,plain,(
% 5.69/1.16 spl0_79 <=> ~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(cast_to_el_of_lattice(sk0_362,sk0_363),X1)|below(sk0_362,sk0_363,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4275,plain,(
% 5.69/1.16 ![X0,X1]: (empty_carrier(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,X0,X1)|~in(cast_to_el_of_lattice(sk0_362,sk0_363),X1)|below(sk0_362,sk0_363,X0)|~lattice(sk0_362)|~element(sk0_363,the_carrier(poset_of_lattice(sk0_362)))|~spl0_72)),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f4231,f4188])).
% 5.69/1.16 fof(f4276,plain,(
% 5.69/1.16 spl0_56|~spl0_58|spl0_79|~spl0_57|~spl0_59|~spl0_72),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4275,f4145,f4151,f4272,f4148,f4162,f4230])).
% 5.69/1.16 fof(f4326,plain,(
% 5.69/1.16 ![X0]: (empty_set=set_intersection2(empty_set,X0))),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f2972,f762])).
% 5.69/1.16 fof(f4329,plain,(
% 5.69/1.16 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f762,f2840])).
% 5.69/1.16 fof(f4596,plain,(
% 5.69/1.16 spl0_102 <=> empty_set=empty_set),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4598,plain,(
% 5.69/1.16 ~empty_set=empty_set|spl0_102),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4596])).
% 5.69/1.16 fof(f4602,plain,(
% 5.69/1.16 spl0_103 <=> disjoint(empty_set,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4605,plain,(
% 5.69/1.16 ![X0]: (disjoint(empty_set,X0)|~empty_set=empty_set)),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f3164,f3305])).
% 5.69/1.16 fof(f4606,plain,(
% 5.69/1.16 spl0_103|~spl0_102),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4605,f4602,f4596])).
% 5.69/1.16 fof(f4662,plain,(
% 5.69/1.16 spl0_105 <=> disjoint(X0,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4665,plain,(
% 5.69/1.16 ![X0]: (disjoint(X0,empty_set)|~empty_set=empty_set)),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f2972,f1380])).
% 5.69/1.16 fof(f4666,plain,(
% 5.69/1.16 spl0_105|~spl0_102),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4665,f4662,f4596])).
% 5.69/1.16 fof(f4680,plain,(
% 5.69/1.16 spl0_106 <=> subset(empty_set,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4683,plain,(
% 5.69/1.16 ![X0]: (~empty_set=empty_set|subset(empty_set,X0))),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f3164,f1945])).
% 5.69/1.16 fof(f4684,plain,(
% 5.69/1.16 ~spl0_102|spl0_106),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4683,f4596,f4680])).
% 5.69/1.16 fof(f4685,plain,(
% 5.69/1.16 $false|spl0_102),
% 5.69/1.16 inference(trivial_equality_resolution,[status(esa)],[f4598])).
% 5.69/1.16 fof(f4686,plain,(
% 5.69/1.16 spl0_102),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f4685])).
% 5.69/1.16 fof(f4694,plain,(
% 5.69/1.16 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|element(X2,X1))),
% 5.69/1.16 inference(resolution,[status(thm)],[f3085,f3167])).
% 5.69/1.16 fof(f4809,plain,(
% 5.69/1.16 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|element(X0,X2))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4694,f4329])).
% 5.69/1.16 fof(f4915,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|element(X0,X1))),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f4326,f4809])).
% 5.69/1.16 fof(f4940,plain,(
% 5.69/1.16 spl0_108 <=> ~in(X0,empty_set)|v1_membered(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4943,plain,(
% 5.69/1.16 spl0_109 <=> ~v4_membered(X1)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4944,plain,(
% 5.69/1.16 ![X0]: (~v4_membered(X0)|~spl0_109)),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4943])).
% 5.69/1.16 fof(f4946,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v4_membered(X1)|v1_membered(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f686])).
% 5.69/1.16 fof(f4947,plain,(
% 5.69/1.16 spl0_108|spl0_109),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4946,f4940,f4943])).
% 5.69/1.16 fof(f4948,plain,(
% 5.69/1.16 spl0_110 <=> ~in(X0,empty_set)|v3_membered(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4951,plain,(
% 5.69/1.16 spl0_111 <=> ~v3_membered(X1)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4952,plain,(
% 5.69/1.16 ![X0]: (~v3_membered(X0)|~spl0_111)),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4951])).
% 5.69/1.16 fof(f4956,plain,(
% 5.69/1.16 spl0_112 <=> ~in(X0,empty_set)|v2_membered(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4977,plain,(
% 5.69/1.16 spl0_115 <=> ~in(X0,empty_set)|v1_rat_1(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4980,plain,(
% 5.69/1.16 spl0_116 <=> ~v5_membered(X1)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4981,plain,(
% 5.69/1.16 ![X0]: (~v5_membered(X0)|~spl0_116)),
% 5.69/1.16 inference(component_clause,[status(thm)],[f4980])).
% 5.69/1.16 fof(f4985,plain,(
% 5.69/1.16 spl0_117 <=> ~in(X0,empty_set)|v1_int_1(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4990,plain,(
% 5.69/1.16 spl0_118 <=> ~in(X0,empty_set)|v1_xreal_0(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4995,plain,(
% 5.69/1.16 spl0_119 <=> ~in(X0,empty_set)|natural(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f4998,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v5_membered(X1)|natural(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f666])).
% 5.69/1.16 fof(f4999,plain,(
% 5.69/1.16 spl0_119|spl0_116),
% 5.69/1.16 inference(split_clause,[status(thm)],[f4998,f4995,f4980])).
% 5.69/1.16 fof(f5000,plain,(
% 5.69/1.16 spl0_120 <=> ~in(X0,empty_set)|v1_xcmplx_0(X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5005,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v4_membered(X1)|v1_rat_1(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f663])).
% 5.69/1.16 fof(f5006,plain,(
% 5.69/1.16 spl0_115|spl0_109),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5005,f4977,f4943])).
% 5.69/1.16 fof(f5007,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v4_membered(X1)|v1_int_1(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f662])).
% 5.69/1.16 fof(f5008,plain,(
% 5.69/1.16 spl0_117|spl0_109),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5007,f4985,f4943])).
% 5.69/1.16 fof(f5009,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v4_membered(X1)|v1_xreal_0(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f661])).
% 5.69/1.16 fof(f5010,plain,(
% 5.69/1.16 spl0_118|spl0_109),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5009,f4990,f4943])).
% 5.69/1.16 fof(f5011,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_set)|~v4_membered(X1)|v1_xcmplx_0(X0))),
% 5.69/1.16 inference(resolution,[status(thm)],[f4915,f660])).
% 5.69/1.16 fof(f5012,plain,(
% 5.69/1.16 spl0_120|spl0_109),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5011,f5000,f4943])).
% 5.69/1.16 fof(f5026,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|~spl0_111)),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1651,f4952])).
% 5.69/1.16 fof(f5028,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|~spl0_109)),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1652,f4944])).
% 5.69/1.16 fof(f5030,plain,(
% 5.69/1.16 ![X0]: (~one_sorted_str(X0)|~spl0_116)),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1653,f4981])).
% 5.69/1.16 fof(f5037,plain,(
% 5.69/1.16 ![X0]: (~rel_str(X0)|~spl0_111)),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1556,f5026])).
% 5.69/1.16 fof(f5040,plain,(
% 5.69/1.16 $false|~spl0_111),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f2064,f5037])).
% 5.69/1.16 fof(f5041,plain,(
% 5.69/1.16 ~spl0_111),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f5040])).
% 5.69/1.16 fof(f5124,plain,(
% 5.69/1.16 ![X0]: (~join_semilatt_str(X0)|~spl0_116)),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1560,f5030])).
% 5.69/1.16 fof(f5125,plain,(
% 5.69/1.16 ![X0]: (~latt_str(X0)|~spl0_116)),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1563,f5124])).
% 5.69/1.16 fof(f5126,plain,(
% 5.69/1.16 $false|~spl0_116),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f1474,f5125])).
% 5.69/1.16 fof(f5127,plain,(
% 5.69/1.16 ~spl0_116),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f5126])).
% 5.69/1.16 fof(f5134,plain,(
% 5.69/1.16 spl0_121 <=> ~in(X0,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5137,plain,(
% 5.69/1.16 ![X0]: (~empty_set=empty_set|~in(X0,empty_set))),
% 5.69/1.16 inference(paramodulation,[status(thm)],[f3164,f3249])).
% 5.69/1.16 fof(f5138,plain,(
% 5.69/1.16 ~spl0_102|spl0_121),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5137,f4596,f5134])).
% 5.69/1.16 fof(f5139,plain,(
% 5.69/1.16 spl0_122 <=> one_sorted_str(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5141,plain,(
% 5.69/1.16 ~one_sorted_str(sk0_362)|spl0_122),
% 5.69/1.16 inference(component_clause,[status(thm)],[f5139])).
% 5.69/1.16 fof(f5144,plain,(
% 5.69/1.16 spl0_123 <=> one_sorted_str(poset_of_lattice(sk0_362))),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5145,plain,(
% 5.69/1.16 one_sorted_str(poset_of_lattice(sk0_362))|~spl0_123),
% 5.69/1.16 inference(component_clause,[status(thm)],[f5144])).
% 5.69/1.16 fof(f5146,plain,(
% 5.69/1.16 ~one_sorted_str(poset_of_lattice(sk0_362))|spl0_123),
% 5.69/1.16 inference(component_clause,[status(thm)],[f5144])).
% 5.69/1.16 fof(f5149,plain,(
% 5.69/1.16 ~join_semilatt_str(sk0_362)|spl0_122),
% 5.69/1.16 inference(resolution,[status(thm)],[f5141,f1560])).
% 5.69/1.16 fof(f5152,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|spl0_122),
% 5.69/1.16 inference(resolution,[status(thm)],[f5149,f1563])).
% 5.69/1.16 fof(f5153,plain,(
% 5.69/1.16 ~spl0_58|spl0_122),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5152,f4151,f5139])).
% 5.69/1.16 fof(f5159,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|v2_membered(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f687,f4915])).
% 5.69/1.16 fof(f5160,plain,(
% 5.69/1.16 spl0_109|spl0_112),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5159,f4943,f4956])).
% 5.69/1.16 fof(f5167,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|v3_membered(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f688,f4915])).
% 5.69/1.16 fof(f5168,plain,(
% 5.69/1.16 spl0_109|spl0_110),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5167,f4943,f4948])).
% 5.69/1.16 fof(f5174,plain,(
% 5.69/1.16 spl0_124 <=> v4_membered(X1)|~in(X1,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5177,plain,(
% 5.69/1.16 ![X0,X1]: (~v4_membered(X0)|v4_membered(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f689,f4915])).
% 5.69/1.16 fof(f5178,plain,(
% 5.69/1.16 spl0_109|spl0_124),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5177,f4943,f5174])).
% 5.69/1.16 fof(f5201,plain,(
% 5.69/1.16 spl0_128 <=> epsilon_transitive(X1)|~in(X1,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5204,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|epsilon_transitive(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f691,f4915])).
% 5.69/1.16 fof(f5205,plain,(
% 5.69/1.16 spl0_1|spl0_128),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5204,f3670,f5201])).
% 5.69/1.16 fof(f5222,plain,(
% 5.69/1.16 spl0_130 <=> epsilon_connected(X1)|~in(X1,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5225,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|epsilon_connected(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f692,f4915])).
% 5.69/1.16 fof(f5226,plain,(
% 5.69/1.16 spl0_1|spl0_130),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5225,f3670,f5222])).
% 5.69/1.16 fof(f5243,plain,(
% 5.69/1.16 spl0_132 <=> ordinal(X1)|~in(X1,empty_set)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5246,plain,(
% 5.69/1.16 ![X0,X1]: (~ordinal(X0)|ordinal(X1)|~in(X1,empty_set))),
% 5.69/1.16 inference(resolution,[status(thm)],[f693,f4915])).
% 5.69/1.16 fof(f5247,plain,(
% 5.69/1.16 spl0_1|spl0_132),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5246,f3670,f5243])).
% 5.69/1.16 fof(f5251,plain,(
% 5.69/1.16 spl0_133 <=> join_commutative(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5254,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|join_commutative(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f703,f3003])).
% 5.69/1.16 fof(f5255,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_133),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5254,f4151,f4148,f5251])).
% 5.69/1.16 fof(f5258,plain,(
% 5.69/1.16 spl0_134 <=> latt_str(sk0_169)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5260,plain,(
% 5.69/1.16 ~latt_str(sk0_169)|spl0_134),
% 5.69/1.16 inference(component_clause,[status(thm)],[f5258])).
% 5.69/1.16 fof(f5271,plain,(
% 5.69/1.16 $false|spl0_134),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5260,f2145])).
% 5.69/1.16 fof(f5272,plain,(
% 5.69/1.16 spl0_134),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f5271])).
% 5.69/1.16 fof(f5275,plain,(
% 5.69/1.16 spl0_137 <=> join_associative(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5278,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|join_associative(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f704,f3003])).
% 5.69/1.16 fof(f5279,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_137),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5278,f4151,f4148,f5275])).
% 5.69/1.16 fof(f5291,plain,(
% 5.69/1.16 ~rel_str(poset_of_lattice(sk0_362))|spl0_123),
% 5.69/1.16 inference(resolution,[status(thm)],[f5146,f1556])).
% 5.69/1.16 fof(f5292,plain,(
% 5.69/1.16 ~spl0_54|spl0_123),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5291,f4136,f5144])).
% 5.69/1.16 fof(f5309,plain,(
% 5.69/1.16 $false|~spl0_109|~spl0_123),
% 5.69/1.16 inference(backward_subsumption_resolution,[status(thm)],[f5145,f5028])).
% 5.69/1.16 fof(f5310,plain,(
% 5.69/1.16 ~spl0_109|~spl0_123),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f5309])).
% 5.69/1.16 fof(f5494,plain,(
% 5.69/1.16 ![X0,X1]: (~one_sorted_str(X0)|~in(X1,empty_carrier_subset(X0))|element(X1,the_carrier(X0)))),
% 5.69/1.16 inference(resolution,[status(thm)],[f1478,f3167])).
% 5.69/1.16 fof(f5498,plain,(
% 5.69/1.16 ![X0,X1]: (~one_sorted_str(X0)|~in(X1,cast_as_carrier_subset(X0))|element(X1,the_carrier(X0)))),
% 5.69/1.16 inference(resolution,[status(thm)],[f1496,f3167])).
% 5.69/1.16 fof(f5534,plain,(
% 5.69/1.16 spl0_143 <=> meet_commutative(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5537,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|meet_commutative(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f705,f3003])).
% 5.69/1.16 fof(f5538,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_143),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5537,f4151,f4148,f5534])).
% 5.69/1.16 fof(f5556,plain,(
% 5.69/1.16 spl0_146 <=> meet_associative(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5559,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|meet_associative(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f706,f3003])).
% 5.69/1.16 fof(f5560,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_146),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5559,f4151,f4148,f5556])).
% 5.69/1.16 fof(f5578,plain,(
% 5.69/1.16 spl0_149 <=> meet_absorbing(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5581,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|meet_absorbing(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f707,f3003])).
% 5.69/1.16 fof(f5582,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_149),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5581,f4151,f4148,f5578])).
% 5.69/1.16 fof(f5600,plain,(
% 5.69/1.16 spl0_152 <=> join_absorbing(sk0_362)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5603,plain,(
% 5.69/1.16 ~latt_str(sk0_362)|~lattice(sk0_362)|join_absorbing(sk0_362)),
% 5.69/1.16 inference(resolution,[status(thm)],[f708,f3003])).
% 5.69/1.16 fof(f5604,plain,(
% 5.69/1.16 ~spl0_58|~spl0_57|spl0_152),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5603,f4151,f4148,f5600])).
% 5.69/1.16 fof(f5665,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~in(X1,empty_carrier_subset(X0))|empty_carrier(X0)|~latt_str(X0)|~element(X2,the_carrier(X0))|~latt_element_smaller(X0,X2,X3)|~in(X1,X3)|below(X0,X1,X2))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5494,f897])).
% 5.69/1.16 fof(f5666,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~in(X1,empty_carrier_subset(X0))|~rel_str(X0)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X3,X2)|~in(X1,X3)|related(X0,X1,X2))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5494,f1450])).
% 5.69/1.16 fof(f5667,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~in(X0,empty_carrier_subset(X1))|~rel_str(X1)|~element(X2,the_carrier(X1))|~relstr_set_smaller(X1,X3,X2)|~in(X0,X3)|related(X1,X0,X2))),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5666,f1556])).
% 5.69/1.16 fof(f5677,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~in(X1,cast_as_carrier_subset(X0))|empty_carrier(X0)|~latt_str(X0)|~element(X2,the_carrier(X0))|~latt_element_smaller(X0,X2,X3)|~in(X1,X3)|below(X0,X1,X2))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5498,f897])).
% 5.69/1.16 fof(f5678,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~one_sorted_str(X0)|~in(X1,cast_as_carrier_subset(X0))|~rel_str(X0)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X3,X2)|~in(X1,X3)|related(X0,X1,X2))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5498,f1450])).
% 5.69/1.16 fof(f5679,plain,(
% 5.69/1.16 ![X0,X1,X2,X3]: (~in(X0,cast_as_carrier_subset(X1))|~rel_str(X1)|~element(X2,the_carrier(X1))|~relstr_set_smaller(X1,X3,X2)|~in(X0,X3)|related(X1,X0,X2))),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f5678,f1556])).
% 5.69/1.16 fof(f5688,plain,(
% 5.69/1.16 spl0_155 <=> ~in(X0,empty_carrier_subset(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,sk0_363)|~in(X0,X1)|related(poset_of_lattice(sk0_362),X0,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5691,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,empty_carrier_subset(poset_of_lattice(sk0_362)))|~rel_str(poset_of_lattice(sk0_362))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,sk0_363)|~in(X0,X1)|related(poset_of_lattice(sk0_362),X0,sk0_363))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5667,f3006])).
% 5.69/1.16 fof(f5692,plain,(
% 5.69/1.16 spl0_155|~spl0_54),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5691,f5688,f4136])).
% 5.69/1.16 fof(f5713,plain,(
% 5.69/1.16 spl0_158 <=> ~in(X0,cast_as_carrier_subset(poset_of_lattice(sk0_362)))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,sk0_363)|~in(X0,X1)|related(poset_of_lattice(sk0_362),X0,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5716,plain,(
% 5.69/1.16 ![X0,X1]: (~in(X0,cast_as_carrier_subset(poset_of_lattice(sk0_362)))|~rel_str(poset_of_lattice(sk0_362))|~relstr_set_smaller(poset_of_lattice(sk0_362),X1,sk0_363)|~in(X0,X1)|related(poset_of_lattice(sk0_362),X0,sk0_363))),
% 5.69/1.16 inference(resolution,[status(thm)],[f5679,f3006])).
% 5.69/1.16 fof(f5717,plain,(
% 5.69/1.16 spl0_158|~spl0_54),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5716,f5713,f4136])).
% 5.69/1.16 fof(f5734,plain,(
% 5.69/1.16 spl0_160 <=> ~in(X0,empty_carrier_subset(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,X1)|~in(X0,X1)|below(sk0_362,X0,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5737,plain,(
% 5.69/1.16 ![X0,X1]: (~one_sorted_str(sk0_362)|~in(X0,empty_carrier_subset(sk0_362))|empty_carrier(sk0_362)|~latt_str(sk0_362)|~latt_element_smaller(sk0_362,sk0_363,X1)|~in(X0,X1)|below(sk0_362,X0,sk0_363)|~spl0_72|~spl0_62)),
% 5.69/1.16 inference(resolution,[status(thm)],[f5665,f4239])).
% 5.69/1.16 fof(f5738,plain,(
% 5.69/1.16 ~spl0_122|spl0_160|spl0_56|~spl0_58|~spl0_72|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5737,f5139,f5734,f4145,f4151,f4230,f4179])).
% 5.69/1.16 fof(f5762,plain,(
% 5.69/1.16 spl0_162 <=> ~in(X0,cast_as_carrier_subset(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,X1)|~in(X0,X1)|below(sk0_362,X0,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f5765,plain,(
% 5.69/1.16 ![X0,X1]: (~one_sorted_str(sk0_362)|~in(X0,cast_as_carrier_subset(sk0_362))|empty_carrier(sk0_362)|~latt_str(sk0_362)|~latt_element_smaller(sk0_362,sk0_363,X1)|~in(X0,X1)|below(sk0_362,X0,sk0_363)|~spl0_72|~spl0_62)),
% 5.69/1.16 inference(resolution,[status(thm)],[f5677,f4239])).
% 5.69/1.16 fof(f5766,plain,(
% 5.69/1.16 ~spl0_122|spl0_162|spl0_56|~spl0_58|~spl0_72|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f5765,f5139,f5762,f4145,f4151,f4230,f4179])).
% 5.69/1.16 fof(f6192,plain,(
% 5.69/1.16 spl0_166 <=> cast_to_el_of_LattPOSet(sk0_362,sk0_363)=sk0_363),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f6193,plain,(
% 5.69/1.16 cast_to_el_of_LattPOSet(sk0_362,sk0_363)=sk0_363|~spl0_166),
% 5.69/1.16 inference(component_clause,[status(thm)],[f6192])).
% 5.69/1.16 fof(f6195,plain,(
% 5.69/1.16 empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|cast_to_el_of_LattPOSet(sk0_362,sk0_363)=sk0_363|~spl0_72|~spl0_62),
% 5.69/1.16 inference(resolution,[status(thm)],[f1164,f4239])).
% 5.69/1.16 fof(f6196,plain,(
% 5.69/1.16 spl0_56|~spl0_57|~spl0_58|spl0_166|~spl0_72|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f6195,f4145,f4148,f4151,f6192,f4230,f4179])).
% 5.69/1.16 fof(f6627,plain,(
% 5.69/1.16 spl0_176 <=> ~element(X0,the_carrier(sk0_362))|below_refl(sk0_362,X0,X0)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f6630,plain,(
% 5.69/1.16 ![X0]: (empty_carrier(sk0_362)|~meet_commutative(sk0_362)|~meet_absorbing(sk0_362)|~join_absorbing(sk0_362)|~latt_str(sk0_362)|~element(X0,the_carrier(sk0_362))|below_refl(sk0_362,X0,X0)|~spl0_72|~spl0_62)),
% 5.69/1.16 inference(resolution,[status(thm)],[f2210,f4239])).
% 5.69/1.16 fof(f6631,plain,(
% 5.69/1.16 spl0_56|~spl0_143|~spl0_149|~spl0_152|~spl0_58|spl0_176|~spl0_72|~spl0_62),
% 5.69/1.16 inference(split_clause,[status(thm)],[f6630,f4145,f5534,f5578,f5600,f4151,f6627,f4230,f4179])).
% 5.69/1.16 fof(f6637,plain,(
% 5.69/1.16 $false|~spl0_1),
% 5.69/1.16 inference(forward_subsumption_resolution,[status(thm)],[f3974,f3671])).
% 5.69/1.16 fof(f6638,plain,(
% 5.69/1.16 ~spl0_1),
% 5.69/1.16 inference(contradiction_clause,[status(thm)],[f6637])).
% 5.69/1.16 fof(f6651,plain,(
% 5.69/1.16 spl0_178 <=> latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)),
% 5.69/1.16 introduced(split_symbol_definition)).
% 5.69/1.16 fof(f6652,plain,(
% 5.69/1.16 ![X0]: (latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_178)),
% 5.69/1.17 inference(component_clause,[status(thm)],[f6651])).
% 5.69/1.17 fof(f6654,plain,(
% 5.69/1.17 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(sk0_362))|latt_element_smaller(sk0_362,sk0_363,X0)|~relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_166)),
% 5.69/1.17 inference(paramodulation,[status(thm)],[f6193,f2990])).
% 5.69/1.17 fof(f6655,plain,(
% 5.69/1.17 spl0_56|~spl0_57|~spl0_58|~spl0_73|spl0_178|~spl0_166),
% 5.69/1.17 inference(split_clause,[status(thm)],[f6654,f4145,f4148,f4151,f4240,f6651,f6192])).
% 5.69/1.17 fof(f6656,plain,(
% 5.69/1.17 spl0_179 <=> ~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)),
% 5.69/1.17 introduced(split_symbol_definition)).
% 5.69/1.17 fof(f6657,plain,(
% 5.69/1.17 ![X0]: (~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_179)),
% 5.69/1.17 inference(component_clause,[status(thm)],[f6656])).
% 5.69/1.17 fof(f6659,plain,(
% 5.69/1.17 ![X0]: (empty_carrier(sk0_362)|~lattice(sk0_362)|~latt_str(sk0_362)|~element(sk0_363,the_carrier(sk0_362))|~latt_element_smaller(sk0_362,sk0_363,X0)|relstr_set_smaller(poset_of_lattice(sk0_362),X0,sk0_363)|~spl0_166)),
% 5.69/1.17 inference(paramodulation,[status(thm)],[f6193,f2989])).
% 5.69/1.17 fof(f6660,plain,(
% 5.69/1.17 spl0_56|~spl0_57|~spl0_58|~spl0_73|spl0_179|~spl0_166),
% 5.69/1.17 inference(split_clause,[status(thm)],[f6659,f4145,f4148,f4151,f4240,f6656,f6192])).
% 5.69/1.17 fof(f6664,plain,(
% 5.69/1.17 latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_178|~spl0_31),
% 5.69/1.17 inference(resolution,[status(thm)],[f6652,f3797])).
% 5.69/1.17 fof(f6665,plain,(
% 5.69/1.17 $false|~spl0_72|spl0_32|~spl0_178|~spl0_31),
% 5.69/1.17 inference(forward_subsumption_resolution,[status(thm)],[f6664,f4238])).
% 5.69/1.17 fof(f6666,plain,(
% 5.69/1.17 ~spl0_72|spl0_32|~spl0_178|~spl0_31),
% 5.69/1.17 inference(contradiction_clause,[status(thm)],[f6665])).
% 5.69/1.17 fof(f6667,plain,(
% 5.69/1.17 latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_72|~spl0_32),
% 5.69/1.17 inference(forward_demodulation,[status(thm)],[f4231,f3800])).
% 5.69/1.17 fof(f6668,plain,(
% 5.69/1.17 ~latt_element_smaller(sk0_362,sk0_363,sk0_364)|~spl0_179|spl0_31),
% 5.69/1.17 inference(resolution,[status(thm)],[f6657,f3798])).
% 5.69/1.17 fof(f6669,plain,(
% 5.69/1.17 $false|~spl0_72|~spl0_32|~spl0_179|spl0_31),
% 5.69/1.17 inference(forward_subsumption_resolution,[status(thm)],[f6668,f6667])).
% 5.69/1.17 fof(f6670,plain,(
% 5.69/1.17 ~spl0_72|~spl0_32|~spl0_179|spl0_31),
% 5.69/1.17 inference(contradiction_clause,[status(thm)],[f6669])).
% 5.69/1.17 fof(f6671,plain,(
% 5.69/1.17 $false),
% 5.69/1.17 inference(sat_refutation,[status(thm)],[f3673,f3802,f3803,f4143,f4155,f4157,f4159,f4161,f4171,f4176,f4202,f4218,f4234,f4244,f4249,f4266,f4271,f4276,f4606,f4666,f4684,f4686,f4947,f4999,f5006,f5008,f5010,f5012,f5041,f5127,f5138,f5153,f5160,f5168,f5178,f5205,f5226,f5247,f5255,f5272,f5279,f5292,f5310,f5538,f5560,f5582,f5604,f5692,f5717,f5738,f5766,f6196,f6631,f6638,f6655,f6660,f6666,f6670])).
% 5.69/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 5.69/1.18 % Elapsed time: 0.834510 seconds
% 5.69/1.18 % CPU time: 5.987946 seconds
% 5.69/1.18 % Memory used: 173.165 MB
%------------------------------------------------------------------------------